%------------------------------------------------------------------------------ % File : Z3---4.8.9.0 % Problem : SYN891-1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : z3_tptp -proof -model -t:%d -file:%s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Sep 29 23:57:44 EDT 2022 % Result : Unsatisfiable 1.20s 1.07s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN891-1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Sep 5 09:13:34 EDT 2022 % 0.14/0.34 % CPUTime : % 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp. % 0.14/0.35 Usage: tptp [options] [-file:]file % 0.14/0.35 -h, -? prints this message. % 0.14/0.35 -smt2 print SMT-LIB2 benchmark. % 0.14/0.35 -m, -model generate model. % 0.14/0.35 -p, -proof generate proof. % 0.14/0.35 -c, -core generate unsat core of named formulas. % 0.14/0.35 -st, -statistics display statistics. % 0.14/0.35 -t:timeout set timeout (in second). % 0.14/0.35 -smt2status display status in smt2 format instead of SZS. % 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark. % 0.14/0.35 -<param>:<value> configuration parameter and value. % 0.14/0.35 -o:<output-file> file to place output in. % 1.20/1.07 % SZS status Unsatisfiable % 1.20/1.07 % SZS output start Proof % 1.20/1.07 tff(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc24_type, type, ( % 1.20/1.07 skc24: $i)). % 1.20/1.07 tff(skc26_type, type, ( % 1.20/1.07 skc26: $i)). % 1.20/1.07 tff(skc28_type, type, ( % 1.20/1.07 skc28: $i)). % 1.20/1.07 tff(skc30_type, type, ( % 1.20/1.07 skc30: $i)). % 1.20/1.07 tff(elem_0_type, type, ( % 1.20/1.07 elem_0: $i)). % 1.20/1.07 tff(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv17_4r1r1r1r1_type, type, ( % 1.20/1.07 ssPv17_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc19_type, type, ( % 1.20/1.07 skc19: $i)). % 1.20/1.07 tff(skc21_type, type, ( % 1.20/1.07 skc21: $i)). % 1.20/1.07 tff(skc22_type, type, ( % 1.20/1.07 skc22: $i)). % 1.20/1.07 tff(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_7r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_6r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_5r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_4r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_3r1r1r1_type, type, ( % 1.20/1.07 ssNder1_3r1r1r1: ( $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_2r1r1_type, type, ( % 1.20/1.07 ssNder1_2r1r1: ( $i * $i ) > $o)). % 1.20/1.07 tff(ssNder1_1r1_type, type, ( % 1.20/1.07 ssNder1_1r1: $i > $o)). % 1.20/1.07 tff(ssNder1_0_type, type, ( % 1.20/1.07 ssNder1_0: $o)). % 1.20/1.07 tff(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv20_1r1_type, type, ( % 1.20/1.07 ssPv20_1r1: $i > $o)). % 1.20/1.07 tff(ssPv19_2r1r1_type, type, ( % 1.20/1.07 ssPv19_2r1r1: ( $i * $i ) > $o)). % 1.20/1.07 tff(ssPv14_7r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv14_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc29_type, type, ( % 1.20/1.07 skc29: $i)). % 1.20/1.07 tff(ssPv15_6r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv15_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc20_type, type, ( % 1.20/1.07 skc20: $i)). % 1.20/1.07 tff(skc23_type, type, ( % 1.20/1.07 skc23: $i)). % 1.20/1.07 tff(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc25_type, type, ( % 1.20/1.07 skc25: $i)). % 1.20/1.07 tff(skc31_type, type, ( % 1.20/1.07 skc31: $i)). % 1.20/1.07 tff(ssPv18_3r1r1r1_type, type, ( % 1.20/1.07 ssPv18_3r1r1r1: ( $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv13_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv16_5r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv16_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc16_type, type, ( % 1.20/1.07 skc16: $i)). % 1.20/1.07 tff(skc18_type, type, ( % 1.20/1.07 skc18: $i)). % 1.20/1.07 tff(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(skc17_type, type, ( % 1.20/1.07 skc17: $i)). % 1.20/1.07 tff(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ( % 1.20/1.07 ssPv12_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 1.20/1.07 tff(1,assumption,(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19)), introduced(assumption)). % 1.20/1.07 tff(2,plain, % 1.20/1.07 (^[U: $i] : refl(ssNder1_1r1(U) <=> ssNder1_1r1(U))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(3,plain, % 1.20/1.07 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(quant_intro,[status(thm)],[2])). % 1.20/1.07 tff(4,plain, % 1.20/1.07 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(5,plain, % 1.20/1.07 (^[U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_1r1(U)) <=> ($false | ssNder1_1r1(U)))), rewrite(($false | ssNder1_1r1(U)) <=> ssNder1_1r1(U)), (((~ssNder1_0) | ssNder1_1r1(U)) <=> ssNder1_1r1(U)))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(6,plain, % 1.20/1.07 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(quant_intro,[status(thm)],[5])). % 1.20/1.07 tff(7,axiom,(![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')). % 1.20/1.07 tff(8,plain, % 1.20/1.07 (![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(modus_ponens,[status(thm)],[7, 6])). % 1.20/1.07 tff(9,plain, % 1.20/1.07 (![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(modus_ponens,[status(thm)],[8, 4])). % 1.20/1.07 tff(10,plain,( % 1.20/1.07 ![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(skolemize,[status(sab)],[9])). % 1.20/1.07 tff(11,plain, % 1.20/1.07 (![U: $i] : ssNder1_1r1(U)), % 1.20/1.07 inference(modus_ponens,[status(thm)],[10, 3])). % 1.20/1.07 tff(12,plain, % 1.20/1.07 ((~![U: $i] : ssNder1_1r1(U)) | ssNder1_1r1(elem!0)), % 1.20/1.07 inference(quant_inst,[status(thm)],[])). % 1.20/1.07 tff(13,plain, % 1.20/1.07 (ssNder1_1r1(elem!0)), % 1.20/1.07 inference(unit_resolution,[status(thm)],[12, 11])). % 1.20/1.07 tff(14,plain, % 1.20/1.07 (^[V: $i, U: $i] : refl((ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(15,plain, % 1.20/1.07 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[14])). % 1.20/1.07 tff(16,plain, % 1.20/1.07 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(17,plain, % 1.20/1.07 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ($false | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))), rewrite(($false | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), (((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(18,plain, % 1.20/1.07 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[17])). % 1.20/1.07 tff(19,plain, % 1.20/1.07 (^[V: $i, U: $i] : trans(monotonicity(rewrite(((~ssNder1_1r1(U)) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(20,plain, % 1.20/1.07 (![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[19])). % 1.20/1.07 tff(21,axiom,(![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')). % 1.20/1.07 tff(22,plain, % 1.20/1.07 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[21, 20])). % 1.20/1.07 tff(23,plain, % 1.20/1.07 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[22, 18])). % 1.20/1.07 tff(24,plain, % 1.20/1.07 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[23, 16])). % 1.20/1.07 tff(25,plain,( % 1.20/1.07 ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(skolemize,[status(sab)],[24])). % 1.20/1.07 tff(26,plain, % 1.20/1.07 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[25, 15])). % 1.20/1.07 tff(27,plain, % 1.20/1.07 (((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(28,plain, % 1.20/1.07 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))), % 1.20/1.07 inference(quant_inst,[status(thm)],[])). % 1.20/1.07 tff(29,plain, % 1.20/1.07 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[28, 27])). % 1.20/1.07 tff(30,plain, % 1.20/1.07 (ssNder1_2r1r1(elem!0, elem!0)), % 1.20/1.07 inference(unit_resolution,[status(thm)],[29, 26, 13])). % 1.20/1.07 tff(31,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(32,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[31])). % 1.20/1.07 tff(33,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(34,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(35,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[34])). % 1.20/1.07 tff(36,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(37,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[36])). % 1.20/1.07 tff(38,axiom,(![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')). % 1.20/1.07 tff(39,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[38, 37])). % 1.20/1.07 tff(40,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[39, 35])). % 1.20/1.07 tff(41,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[40, 33])). % 1.20/1.07 tff(42,plain,( % 1.20/1.07 ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(skolemize,[status(sab)],[41])). % 1.20/1.07 tff(43,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[42, 32])). % 1.20/1.07 tff(44,plain, % 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(45,plain, % 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))), % 1.20/1.07 inference(quant_inst,[status(thm)],[])). % 1.20/1.07 tff(46,plain, % 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[45, 44])). % 1.20/1.07 tff(47,plain, % 1.20/1.07 (ssNder1_3r1r1r1(elem!0, elem!0, elem!0)), % 1.20/1.07 inference(unit_resolution,[status(thm)],[46, 43, 13, 30])). % 1.20/1.07 tff(48,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(49,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[48])). % 1.20/1.07 tff(50,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(51,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ($false | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite(($false | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(52,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[51])). % 1.20/1.07 tff(53,plain, % 1.20/1.07 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(54,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[53])). % 1.20/1.07 tff(55,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')). % 1.20/1.07 tff(56,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[55, 54])). % 1.20/1.07 tff(57,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[56, 52])). % 1.20/1.07 tff(58,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[57, 50])). % 1.20/1.07 tff(59,plain,( % 1.20/1.07 ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(skolemize,[status(sab)],[58])). % 1.20/1.07 tff(60,plain, % 1.20/1.07 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[59, 49])). % 1.20/1.07 tff(61,plain, % 1.20/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(62,plain, % 1.20/1.07 ((ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(63,plain, % 1.20/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))))), % 1.20/1.07 inference(monotonicity,[status(thm)],[62])). % 1.20/1.07 tff(64,plain, % 1.20/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.07 inference(transitivity,[status(thm)],[63, 61])). % 1.20/1.07 tff(65,plain, % 1.20/1.07 ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.07 inference(quant_inst,[status(thm)],[])). % 1.20/1.07 tff(66,plain, % 1.20/1.07 ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))), % 1.20/1.07 inference(modus_ponens,[status(thm)],[65, 64])). % 1.20/1.07 tff(67,plain, % 1.20/1.07 (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), % 1.20/1.07 inference(unit_resolution,[status(thm)],[66, 60, 13, 30, 47])). % 1.20/1.07 tff(68,plain, % 1.20/1.07 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(69,plain, % 1.20/1.07 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[68])). % 1.20/1.07 tff(70,plain, % 1.20/1.07 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.07 inference(rewrite,[status(thm)],[])). % 1.20/1.07 tff(71,plain, % 1.20/1.07 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))))), % 1.20/1.07 inference(bind,[status(th)],[])). % 1.20/1.07 tff(72,plain, % 1.20/1.07 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.07 inference(quant_intro,[status(thm)],[71])). % 1.20/1.07 tff(73,plain, % 1.20/1.07 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))))), % 1.20/1.08 inference(bind,[status(th)],[])). % 1.20/1.08 tff(74,plain, % 1.20/1.08 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(quant_intro,[status(thm)],[73])). % 1.20/1.08 tff(75,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause8')). % 1.20/1.08 tff(76,plain, % 1.20/1.08 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[75, 74])). % 1.20/1.08 tff(77,plain, % 1.20/1.08 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[76, 72])). % 1.20/1.08 tff(78,plain, % 1.20/1.08 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[77, 70])). % 1.20/1.08 tff(79,plain,( % 1.20/1.08 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(skolemize,[status(sab)],[78])). % 1.20/1.08 tff(80,plain, % 1.20/1.08 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[79, 69])). % 1.20/1.08 tff(81,plain, % 1.20/1.08 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.08 inference(rewrite,[status(thm)],[])). % 1.20/1.08 tff(82,plain, % 1.20/1.08 (((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.08 inference(rewrite,[status(thm)],[])). % 1.20/1.08 tff(83,plain, % 1.20/1.08 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))))), % 1.20/1.08 inference(monotonicity,[status(thm)],[82])). % 1.20/1.08 tff(84,plain, % 1.20/1.08 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))), % 1.20/1.08 inference(transitivity,[status(thm)],[83, 81])). % 1.20/1.08 tff(85,plain, % 1.20/1.08 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))), % 1.20/1.08 inference(quant_inst,[status(thm)],[])). % 1.20/1.08 tff(86,plain, % 1.20/1.08 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[85, 84])). % 1.20/1.08 tff(87,plain, % 1.20/1.08 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), % 1.20/1.08 inference(unit_resolution,[status(thm)],[86, 80, 13, 30, 47, 67])). % 1.20/1.08 tff(88,plain, % 1.20/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), % 1.20/1.08 inference(bind,[status(th)],[])). % 1.20/1.08 tff(89,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(quant_intro,[status(thm)],[88])). % 1.20/1.08 tff(90,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(rewrite,[status(thm)],[])). % 1.20/1.08 tff(91,plain, % 1.20/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))))), % 1.20/1.08 inference(bind,[status(th)],[])). % 1.20/1.08 tff(92,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(quant_intro,[status(thm)],[91])). % 1.20/1.08 tff(93,plain, % 1.20/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))))), % 1.20/1.08 inference(bind,[status(th)],[])). % 1.20/1.08 tff(94,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(quant_intro,[status(thm)],[93])). % 1.20/1.08 tff(95,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause11')). % 1.20/1.08 tff(96,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[95, 94])). % 1.20/1.08 tff(97,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[96, 92])). % 1.20/1.08 tff(98,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(modus_ponens,[status(thm)],[97, 90])). % 1.20/1.08 tff(99,plain,( % 1.20/1.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.20/1.08 inference(skolemize,[status(sab)],[98])). % 1.20/1.08 tff(100,plain, % 1.20/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), % 1.29/1.08 inference(modus_ponens,[status(thm)],[99, 89])). % 1.29/1.08 tff(101,plain, % 1.29/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))), % 1.29/1.08 inference(rewrite,[status(thm)],[])). % 1.29/1.08 tff(102,plain, % 1.29/1.08 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))), % 1.29/1.08 inference(rewrite,[status(thm)],[])). % 1.29/1.08 tff(103,plain, % 1.29/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))), % 1.29/1.08 inference(monotonicity,[status(thm)],[102])). % 1.29/1.08 tff(104,plain, % 1.29/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))), % 1.29/1.08 inference(transitivity,[status(thm)],[103, 101])). % 1.29/1.08 tff(105,plain, % 1.29/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))), % 1.29/1.08 inference(quant_inst,[status(thm)],[])). % 1.29/1.08 tff(106,plain, % 1.29/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)), % 1.29/1.08 inference(modus_ponens,[status(thm)],[105, 104])). % 1.29/1.08 tff(107,plain, % 1.29/1.08 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)), % 1.29/1.08 inference(unit_resolution,[status(thm)],[106, 100, 13, 30, 47, 67, 87])). % 1.29/1.08 tff(108,plain, % 1.29/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), % 1.29/1.08 inference(bind,[status(th)],[])). % 1.29/1.08 tff(109,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(quant_intro,[status(thm)],[108])). % 1.29/1.08 tff(110,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(rewrite,[status(thm)],[])). % 1.29/1.08 tff(111,plain, % 1.29/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ($false | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite(($false | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))), % 1.29/1.08 inference(bind,[status(th)],[])). % 1.29/1.08 tff(112,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(quant_intro,[status(thm)],[111])). % 1.29/1.08 tff(113,plain, % 1.29/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))), % 1.29/1.08 inference(bind,[status(th)],[])). % 1.29/1.08 tff(114,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(quant_intro,[status(thm)],[113])). % 1.29/1.08 tff(115,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause14')). % 1.29/1.08 tff(116,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(modus_ponens,[status(thm)],[115, 114])). % 1.29/1.08 tff(117,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(modus_ponens,[status(thm)],[116, 112])). % 1.29/1.08 tff(118,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(modus_ponens,[status(thm)],[117, 110])). % 1.29/1.08 tff(119,plain,( % 1.29/1.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(skolemize,[status(sab)],[118])). % 1.29/1.08 tff(120,plain, % 1.29/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), % 1.29/1.08 inference(modus_ponens,[status(thm)],[119, 109])). % 1.29/1.08 tff(121,plain, % 1.29/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(122,plain, % 1.29/1.09 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(123,plain, % 1.29/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))))), % 1.29/1.09 inference(monotonicity,[status(thm)],[122])). % 1.29/1.09 tff(124,plain, % 1.29/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))), % 1.29/1.09 inference(transitivity,[status(thm)],[123, 121])). % 1.29/1.09 tff(125,plain, % 1.29/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))), % 1.29/1.09 inference(quant_inst,[status(thm)],[])). % 1.29/1.09 tff(126,plain, % 1.29/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))), % 1.29/1.09 inference(modus_ponens,[status(thm)],[125, 124])). % 1.29/1.09 tff(127,plain, % 1.29/1.09 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)), % 1.29/1.09 inference(unit_resolution,[status(thm)],[126, 120, 13, 30, 47, 67, 87, 107])). % 1.29/1.09 tff(128,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl((ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), % 1.29/1.09 inference(bind,[status(th)],[])). % 1.29/1.09 tff(129,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(quant_intro,[status(thm)],[128])). % 1.29/1.09 tff(130,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(131,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ($false | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite(($false | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))), % 1.29/1.09 inference(bind,[status(th)],[])). % 1.29/1.09 tff(132,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(quant_intro,[status(thm)],[131])). % 1.29/1.09 tff(133,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))), % 1.29/1.09 inference(bind,[status(th)],[])). % 1.29/1.09 tff(134,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(quant_intro,[status(thm)],[133])). % 1.29/1.09 tff(135,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause17')). % 1.29/1.09 tff(136,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(modus_ponens,[status(thm)],[135, 134])). % 1.29/1.09 tff(137,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(modus_ponens,[status(thm)],[136, 132])). % 1.29/1.09 tff(138,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(modus_ponens,[status(thm)],[137, 130])). % 1.29/1.09 tff(139,plain,( % 1.29/1.09 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(skolemize,[status(sab)],[138])). % 1.29/1.09 tff(140,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.29/1.09 inference(modus_ponens,[status(thm)],[139, 129])). % 1.29/1.09 tff(141,plain, % 1.29/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(142,plain, % 1.29/1.09 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(143,plain, % 1.29/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)))), % 1.29/1.09 inference(monotonicity,[status(thm)],[142])). % 1.29/1.09 tff(144,plain, % 1.29/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24))), % 1.29/1.09 inference(transitivity,[status(thm)],[143, 141])). % 1.29/1.09 tff(145,plain, % 1.29/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))), % 1.29/1.09 inference(quant_inst,[status(thm)],[])). % 1.29/1.09 tff(146,plain, % 1.29/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)), % 1.29/1.09 inference(modus_ponens,[status(thm)],[145, 144])). % 1.29/1.09 tff(147,plain, % 1.29/1.09 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)), % 1.29/1.09 inference(unit_resolution,[status(thm)],[146, 140, 13, 30, 47, 67, 87, 107, 127])). % 1.29/1.09 tff(148,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), % 1.29/1.09 inference(bind,[status(th)],[])). % 1.29/1.09 tff(149,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.09 inference(quant_intro,[status(thm)],[148])). % 1.29/1.09 tff(150,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.09 inference(rewrite,[status(thm)],[])). % 1.29/1.09 tff(151,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))), % 1.29/1.09 inference(bind,[status(th)],[])). % 1.29/1.09 tff(152,plain, % 1.29/1.09 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.09 inference(quant_intro,[status(thm)],[151])). % 1.29/1.09 tff(153,plain, % 1.29/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))), % 1.29/1.10 inference(bind,[status(th)],[])). % 1.29/1.10 tff(154,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(quant_intro,[status(thm)],[153])). % 1.29/1.10 tff(155,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause19')). % 1.29/1.10 tff(156,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[155, 154])). % 1.29/1.10 tff(157,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[156, 152])). % 1.29/1.10 tff(158,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[157, 150])). % 1.29/1.10 tff(159,plain,( % 1.29/1.10 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(skolemize,[status(sab)],[158])). % 1.29/1.10 tff(160,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[159, 149])). % 1.29/1.10 tff(161,plain, % 1.29/1.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))), % 1.29/1.10 inference(rewrite,[status(thm)],[])). % 1.29/1.10 tff(162,plain, % 1.29/1.10 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))), % 1.29/1.10 inference(rewrite,[status(thm)],[])). % 1.29/1.10 tff(163,plain, % 1.29/1.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))), % 1.29/1.10 inference(monotonicity,[status(thm)],[162])). % 1.29/1.10 tff(164,plain, % 1.29/1.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))), % 1.29/1.10 inference(transitivity,[status(thm)],[163, 161])). % 1.29/1.10 tff(165,plain, % 1.29/1.10 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)))), % 1.29/1.10 inference(quant_inst,[status(thm)],[])). % 1.29/1.10 tff(166,plain, % 1.29/1.10 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)), % 1.29/1.10 inference(modus_ponens,[status(thm)],[165, 164])). % 1.29/1.10 tff(167,plain, % 1.29/1.10 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)), % 1.29/1.10 inference(unit_resolution,[status(thm)],[166, 160, 13, 30, 47, 67, 87, 107, 127, 147])). % 1.29/1.10 tff(168,plain, % 1.29/1.10 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), % 1.29/1.10 inference(bind,[status(th)],[])). % 1.29/1.10 tff(169,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(quant_intro,[status(thm)],[168])). % 1.29/1.10 tff(170,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(rewrite,[status(thm)],[])). % 1.29/1.10 tff(171,plain, % 1.29/1.10 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))), % 1.29/1.10 inference(bind,[status(th)],[])). % 1.29/1.10 tff(172,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(quant_intro,[status(thm)],[171])). % 1.29/1.10 tff(173,plain, % 1.29/1.10 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))), % 1.29/1.10 inference(bind,[status(th)],[])). % 1.29/1.10 tff(174,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(quant_intro,[status(thm)],[173])). % 1.29/1.10 tff(175,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause20')). % 1.29/1.10 tff(176,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[175, 174])). % 1.29/1.10 tff(177,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[176, 172])). % 1.29/1.10 tff(178,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[177, 170])). % 1.29/1.10 tff(179,plain,( % 1.29/1.10 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(skolemize,[status(sab)],[178])). % 1.29/1.10 tff(180,plain, % 1.29/1.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), % 1.29/1.10 inference(modus_ponens,[status(thm)],[179, 169])). % 1.29/1.10 tff(181,plain, % 1.29/1.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))), % 1.29/1.11 inference(rewrite,[status(thm)],[])). % 1.29/1.11 tff(182,plain, % 1.29/1.11 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))), % 1.29/1.11 inference(rewrite,[status(thm)],[])). % 1.29/1.11 tff(183,plain, % 1.29/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))))), % 1.29/1.11 inference(monotonicity,[status(thm)],[182])). % 1.29/1.11 tff(184,plain, % 1.29/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))), % 1.29/1.11 inference(transitivity,[status(thm)],[183, 181])). % 1.29/1.11 tff(185,plain, % 1.29/1.11 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)))), % 1.29/1.11 inference(quant_inst,[status(thm)],[])). % 1.29/1.11 tff(186,plain, % 1.29/1.11 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24))), % 1.29/1.11 inference(modus_ponens,[status(thm)],[185, 184])). % 1.29/1.11 tff(187,plain, % 1.29/1.11 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)), % 1.29/1.11 inference(unit_resolution,[status(thm)],[186, 180, 13, 30, 47, 67, 87, 107, 127, 147, 167])). % 1.29/1.11 tff(188,plain, % 1.29/1.11 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), % 1.29/1.11 inference(bind,[status(th)],[])). % 1.29/1.11 tff(189,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(quant_intro,[status(thm)],[188])). % 1.29/1.11 tff(190,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(rewrite,[status(thm)],[])). % 1.29/1.11 tff(191,plain, % 1.29/1.11 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))), % 1.29/1.11 inference(bind,[status(th)],[])). % 1.29/1.11 tff(192,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(quant_intro,[status(thm)],[191])). % 1.29/1.11 tff(193,plain, % 1.29/1.11 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))), % 1.29/1.11 inference(bind,[status(th)],[])). % 1.29/1.11 tff(194,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(quant_intro,[status(thm)],[193])). % 1.29/1.11 tff(195,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause21')). % 1.29/1.11 tff(196,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(modus_ponens,[status(thm)],[195, 194])). % 1.29/1.11 tff(197,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(modus_ponens,[status(thm)],[196, 192])). % 1.29/1.11 tff(198,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(modus_ponens,[status(thm)],[197, 190])). % 1.29/1.11 tff(199,plain,( % 1.29/1.11 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(skolemize,[status(sab)],[198])). % 1.29/1.11 tff(200,plain, % 1.29/1.11 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), % 1.29/1.11 inference(modus_ponens,[status(thm)],[199, 189])). % 1.29/1.11 tff(201,plain, % 1.29/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24))), % 1.29/1.12 inference(rewrite,[status(thm)],[])). % 1.29/1.12 tff(202,plain, % 1.29/1.12 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24))), % 1.29/1.12 inference(rewrite,[status(thm)],[])). % 1.29/1.12 tff(203,plain, % 1.29/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)))), % 1.29/1.12 inference(monotonicity,[status(thm)],[202])). % 1.29/1.12 tff(204,plain, % 1.29/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24))), % 1.29/1.12 inference(transitivity,[status(thm)],[203, 201])). % 1.29/1.12 tff(205,plain, % 1.29/1.12 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)))), % 1.29/1.12 inference(quant_inst,[status(thm)],[])). % 1.29/1.12 tff(206,plain, % 1.29/1.12 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)), % 1.29/1.12 inference(modus_ponens,[status(thm)],[205, 204])). % 1.29/1.12 tff(207,plain, % 1.29/1.12 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)), % 1.29/1.12 inference(unit_resolution,[status(thm)],[206, 200, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187])). % 1.29/1.12 tff(208,plain, % 1.29/1.12 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), % 1.29/1.12 inference(bind,[status(th)],[])). % 1.29/1.12 tff(209,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(quant_intro,[status(thm)],[208])). % 1.29/1.12 tff(210,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(rewrite,[status(thm)],[])). % 1.29/1.12 tff(211,plain, % 1.29/1.12 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))), % 1.29/1.12 inference(bind,[status(th)],[])). % 1.29/1.12 tff(212,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(quant_intro,[status(thm)],[211])). % 1.29/1.12 tff(213,plain, % 1.29/1.12 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))), % 1.29/1.12 inference(bind,[status(th)],[])). % 1.29/1.12 tff(214,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(quant_intro,[status(thm)],[213])). % 1.29/1.12 tff(215,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause22')). % 1.29/1.12 tff(216,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(modus_ponens,[status(thm)],[215, 214])). % 1.29/1.12 tff(217,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(modus_ponens,[status(thm)],[216, 212])). % 1.29/1.12 tff(218,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(modus_ponens,[status(thm)],[217, 210])). % 1.29/1.12 tff(219,plain,( % 1.29/1.12 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(skolemize,[status(sab)],[218])). % 1.29/1.12 tff(220,plain, % 1.29/1.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), % 1.29/1.12 inference(modus_ponens,[status(thm)],[219, 209])). % 1.29/1.12 tff(221,plain, % 1.29/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))), % 1.29/1.13 inference(rewrite,[status(thm)],[])). % 1.29/1.13 tff(222,plain, % 1.29/1.13 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))), % 1.29/1.13 inference(rewrite,[status(thm)],[])). % 1.29/1.13 tff(223,plain, % 1.29/1.13 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))), % 1.29/1.13 inference(monotonicity,[status(thm)],[222])). % 1.29/1.13 tff(224,plain, % 1.29/1.13 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))), % 1.29/1.13 inference(transitivity,[status(thm)],[223, 221])). % 1.29/1.13 tff(225,plain, % 1.29/1.13 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)))), % 1.29/1.13 inference(quant_inst,[status(thm)],[])). % 1.29/1.13 tff(226,plain, % 1.29/1.13 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)), % 1.29/1.13 inference(modus_ponens,[status(thm)],[225, 224])). % 1.29/1.13 tff(227,plain, % 1.29/1.13 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)), % 1.29/1.13 inference(unit_resolution,[status(thm)],[226, 220, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207])). % 1.29/1.13 tff(228,plain, % 1.29/1.13 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), % 1.29/1.13 inference(bind,[status(th)],[])). % 1.29/1.13 tff(229,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.13 inference(quant_intro,[status(thm)],[228])). % 1.29/1.13 tff(230,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.13 inference(rewrite,[status(thm)],[])). % 1.29/1.13 tff(231,plain, % 1.29/1.13 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ($false | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite(($false | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))), % 1.29/1.13 inference(bind,[status(th)],[])). % 1.29/1.13 tff(232,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.13 inference(quant_intro,[status(thm)],[231])). % 1.29/1.13 tff(233,plain, % 1.29/1.13 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))), % 1.29/1.13 inference(bind,[status(th)],[])). % 1.29/1.13 tff(234,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.13 inference(quant_intro,[status(thm)],[233])). % 1.29/1.13 tff(235,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause27')). % 1.29/1.13 tff(236,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.13 inference(modus_ponens,[status(thm)],[235, 234])). % 1.29/1.13 tff(237,plain, % 1.29/1.13 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.14 inference(modus_ponens,[status(thm)],[236, 232])). % 1.29/1.14 tff(238,plain, % 1.29/1.14 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.14 inference(modus_ponens,[status(thm)],[237, 230])). % 1.29/1.14 tff(239,plain,( % 1.29/1.14 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.14 inference(skolemize,[status(sab)],[238])). % 1.29/1.14 tff(240,plain, % 1.29/1.14 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), % 1.29/1.14 inference(modus_ponens,[status(thm)],[239, 229])). % 1.29/1.14 tff(241,plain, % 1.29/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22))), % 1.29/1.14 inference(rewrite,[status(thm)],[])). % 1.29/1.14 tff(242,plain, % 1.29/1.14 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22))), % 1.29/1.14 inference(rewrite,[status(thm)],[])). % 1.29/1.14 tff(243,plain, % 1.29/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)))), % 1.29/1.14 inference(monotonicity,[status(thm)],[242])). % 1.29/1.14 tff(244,plain, % 1.29/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22))), % 1.29/1.14 inference(transitivity,[status(thm)],[243, 241])). % 1.29/1.14 tff(245,plain, % 1.29/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))), % 1.29/1.14 inference(quant_inst,[status(thm)],[])). % 1.29/1.14 tff(246,plain, % 1.29/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)), % 1.29/1.14 inference(modus_ponens,[status(thm)],[245, 244])). % 1.29/1.14 tff(247,plain, % 1.29/1.14 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)), % 1.29/1.14 inference(unit_resolution,[status(thm)],[246, 240, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227])). % 1.29/1.14 tff(248,plain, % 1.29/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), % 1.29/1.14 inference(bind,[status(th)],[])). % 1.29/1.14 tff(249,plain, % 1.29/1.14 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.14 inference(quant_intro,[status(thm)],[248])). % 1.29/1.14 tff(250,plain, % 1.29/1.14 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.14 inference(rewrite,[status(thm)],[])). % 1.29/1.14 tff(251,plain, % 1.29/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))))), % 1.29/1.14 inference(bind,[status(th)],[])). % 1.29/1.14 tff(252,plain, % 1.29/1.14 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(quant_intro,[status(thm)],[251])). % 1.29/1.15 tff(253,plain, % 1.29/1.15 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))))), % 1.29/1.15 inference(bind,[status(th)],[])). % 1.29/1.15 tff(254,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(quant_intro,[status(thm)],[253])). % 1.29/1.15 tff(255,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')). % 1.29/1.15 tff(256,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(modus_ponens,[status(thm)],[255, 254])). % 1.29/1.15 tff(257,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(modus_ponens,[status(thm)],[256, 252])). % 1.29/1.15 tff(258,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(modus_ponens,[status(thm)],[257, 250])). % 1.29/1.15 tff(259,plain,( % 1.29/1.15 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(skolemize,[status(sab)],[258])). % 1.29/1.15 tff(260,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), % 1.29/1.15 inference(modus_ponens,[status(thm)],[259, 249])). % 1.29/1.15 tff(261,plain, % 1.29/1.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19)))), % 1.29/1.15 inference(rewrite,[status(thm)],[])). % 1.29/1.15 tff(262,plain, % 1.29/1.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19)))), % 1.29/1.15 inference(quant_inst,[status(thm)],[])). % 1.29/1.15 tff(263,plain, % 1.29/1.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19))), % 1.29/1.15 inference(modus_ponens,[status(thm)],[262, 261])). % 1.29/1.15 tff(264,plain, % 1.29/1.15 ($false), % 1.29/1.15 inference(unit_resolution,[status(thm)],[263, 260, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227, 247, 1])). % 1.29/1.15 tff(265,plain,(~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21, skc19)), inference(lemma,lemma(discharge,[]))). % 1.29/1.15 tff(266,plain, % 1.29/1.15 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), % 1.29/1.15 inference(bind,[status(th)],[])). % 1.29/1.15 tff(267,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.15 inference(quant_intro,[status(thm)],[266])). % 1.29/1.15 tff(268,plain, % 1.29/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.15 inference(rewrite,[status(thm)],[])). % 1.29/1.15 tff(269,plain, % 1.29/1.15 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ($false | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite(($false | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))), % 1.29/1.16 inference(bind,[status(th)],[])). % 1.29/1.16 tff(270,plain, % 1.29/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.16 inference(quant_intro,[status(thm)],[269])). % 1.29/1.16 tff(271,plain, % 1.29/1.16 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))), % 1.29/1.16 inference(bind,[status(th)],[])). % 1.29/1.16 tff(272,plain, % 1.29/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.16 inference(quant_intro,[status(thm)],[271])). % 1.29/1.16 tff(273,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause32')). % 1.29/1.16 tff(274,plain, % 1.29/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.16 inference(modus_ponens,[status(thm)],[273, 272])). % 1.29/1.16 tff(275,plain, % 1.29/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.16 inference(modus_ponens,[status(thm)],[274, 270])). % 1.29/1.16 tff(276,plain, % 1.29/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.29/1.16 inference(modus_ponens,[status(thm)],[275, 268])). % 1.29/1.16 tff(277,plain,( % 1.29/1.16 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.37/1.16 inference(skolemize,[status(sab)],[276])). % 1.37/1.16 tff(278,plain, % 1.37/1.16 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.37/1.16 inference(modus_ponens,[status(thm)],[277, 267])). % 1.37/1.16 tff(279,plain, % 1.37/1.16 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21))), % 1.37/1.16 inference(rewrite,[status(thm)],[])). % 1.37/1.16 tff(280,plain, % 1.37/1.16 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21))), % 1.37/1.16 inference(rewrite,[status(thm)],[])). % 1.37/1.16 tff(281,plain, % 1.37/1.16 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)))), % 1.37/1.17 inference(monotonicity,[status(thm)],[280])). % 1.37/1.17 tff(282,plain, % 1.37/1.17 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21))), % 1.37/1.17 inference(transitivity,[status(thm)],[281, 279])). % 1.37/1.17 tff(283,plain, % 1.37/1.17 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)))), % 1.37/1.17 inference(quant_inst,[status(thm)],[])). % 1.37/1.17 tff(284,plain, % 1.37/1.17 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)), % 1.37/1.17 inference(modus_ponens,[status(thm)],[283, 282])). % 1.37/1.17 tff(285,plain, % 1.37/1.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)), % 1.37/1.17 inference(unit_resolution,[status(thm)],[284, 278, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227, 247])). % 1.37/1.17 tff(286,plain, % 1.37/1.17 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), % 1.37/1.17 inference(bind,[status(th)],[])). % 1.37/1.17 tff(287,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(quant_intro,[status(thm)],[286])). % 1.37/1.17 tff(288,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(rewrite,[status(thm)],[])). % 1.37/1.17 tff(289,plain, % 1.37/1.17 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))))), % 1.37/1.17 inference(bind,[status(th)],[])). % 1.37/1.17 tff(290,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(quant_intro,[status(thm)],[289])). % 1.37/1.17 tff(291,plain, % 1.37/1.17 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))))), % 1.37/1.17 inference(bind,[status(th)],[])). % 1.37/1.17 tff(292,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(quant_intro,[status(thm)],[291])). % 1.37/1.17 tff(293,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')). % 1.37/1.17 tff(294,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(modus_ponens,[status(thm)],[293, 292])). % 1.37/1.17 tff(295,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(modus_ponens,[status(thm)],[294, 290])). % 1.37/1.17 tff(296,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(modus_ponens,[status(thm)],[295, 288])). % 1.37/1.17 tff(297,plain,( % 1.37/1.17 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(skolemize,[status(sab)],[296])). % 1.37/1.17 tff(298,plain, % 1.37/1.17 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), % 1.37/1.17 inference(modus_ponens,[status(thm)],[297, 287])). % 1.37/1.17 tff(299,plain, % 1.37/1.17 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(300,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)))), % 1.37/1.18 inference(quant_inst,[status(thm)],[])). % 1.37/1.18 tff(301,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21))), % 1.37/1.18 inference(modus_ponens,[status(thm)],[300, 299])). % 1.37/1.18 tff(302,plain, % 1.37/1.18 (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc21)), % 1.37/1.18 inference(unit_resolution,[status(thm)],[301, 298, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227])). % 1.37/1.18 tff(303,assumption,(~ssPv20_1r1(elem!0)), introduced(assumption)). % 1.37/1.18 tff(304,plain, % 1.37/1.18 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(305,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(quant_intro,[status(thm)],[304])). % 1.37/1.18 tff(306,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(307,plain, % 1.37/1.18 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(308,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(quant_intro,[status(thm)],[307])). % 1.37/1.18 tff(309,plain, % 1.37/1.18 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(310,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(quant_intro,[status(thm)],[309])). % 1.37/1.18 tff(311,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause12')). % 1.37/1.18 tff(312,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(modus_ponens,[status(thm)],[311, 310])). % 1.37/1.18 tff(313,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(modus_ponens,[status(thm)],[312, 308])). % 1.37/1.18 tff(314,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(modus_ponens,[status(thm)],[313, 306])). % 1.37/1.18 tff(315,plain,( % 1.37/1.18 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(skolemize,[status(sab)],[314])). % 1.37/1.18 tff(316,plain, % 1.37/1.18 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), % 1.37/1.18 inference(modus_ponens,[status(thm)],[315, 305])). % 1.37/1.18 tff(317,plain, % 1.37/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(318,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))), % 1.37/1.18 inference(quant_inst,[status(thm)],[])). % 1.37/1.18 tff(319,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)), % 1.37/1.18 inference(modus_ponens,[status(thm)],[318, 317])). % 1.37/1.18 tff(320,plain, % 1.37/1.18 (ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)), % 1.37/1.18 inference(unit_resolution,[status(thm)],[319, 316, 13, 30, 47, 67, 87])). % 1.37/1.18 tff(321,plain, % 1.37/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(322,plain, % 1.37/1.18 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(323,plain, % 1.37/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))), % 1.37/1.18 inference(monotonicity,[status(thm)],[322])). % 1.37/1.18 tff(324,plain, % 1.37/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))), % 1.37/1.18 inference(transitivity,[status(thm)],[323, 321])). % 1.37/1.18 tff(325,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))), % 1.37/1.18 inference(quant_inst,[status(thm)],[])). % 1.37/1.18 tff(326,plain, % 1.37/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), % 1.37/1.18 inference(modus_ponens,[status(thm)],[325, 324])). % 1.37/1.18 tff(327,plain, % 1.37/1.18 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), % 1.37/1.18 inference(unit_resolution,[status(thm)],[326, 100, 13, 30, 47, 67, 87])). % 1.37/1.18 tff(328,plain, % 1.37/1.18 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(329,plain, % 1.37/1.18 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.18 inference(quant_intro,[status(thm)],[328])). % 1.37/1.18 tff(330,plain, % 1.37/1.18 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.18 inference(rewrite,[status(thm)],[])). % 1.37/1.18 tff(331,plain, % 1.37/1.18 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(332,plain, % 1.37/1.18 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.18 inference(quant_intro,[status(thm)],[331])). % 1.37/1.18 tff(333,plain, % 1.37/1.18 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))))), % 1.37/1.18 inference(bind,[status(th)],[])). % 1.37/1.18 tff(334,plain, % 1.37/1.18 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.18 inference(quant_intro,[status(thm)],[333])). % 1.37/1.18 tff(335,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause10')). % 1.37/1.19 tff(336,plain, % 1.37/1.19 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[335, 334])). % 1.37/1.19 tff(337,plain, % 1.37/1.19 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[336, 332])). % 1.37/1.19 tff(338,plain, % 1.37/1.19 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[337, 330])). % 1.37/1.19 tff(339,plain,( % 1.37/1.19 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.19 inference(skolemize,[status(sab)],[338])). % 1.37/1.19 tff(340,plain, % 1.37/1.19 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[339, 329])). % 1.37/1.19 tff(341,plain, % 1.37/1.19 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))), % 1.37/1.19 inference(rewrite,[status(thm)],[])). % 1.37/1.19 tff(342,plain, % 1.37/1.19 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))), % 1.37/1.19 inference(quant_inst,[status(thm)],[])). % 1.37/1.19 tff(343,plain, % 1.37/1.19 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[342, 341])). % 1.37/1.19 tff(344,plain, % 1.37/1.19 (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), % 1.37/1.19 inference(unit_resolution,[status(thm)],[343, 340, 13, 30, 47, 67])). % 1.37/1.19 tff(345,plain, % 1.37/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), % 1.37/1.19 inference(bind,[status(th)],[])). % 1.37/1.19 tff(346,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(quant_intro,[status(thm)],[345])). % 1.37/1.19 tff(347,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(rewrite,[status(thm)],[])). % 1.37/1.19 tff(348,plain, % 1.37/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))), % 1.37/1.19 inference(bind,[status(th)],[])). % 1.37/1.19 tff(349,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(quant_intro,[status(thm)],[348])). % 1.37/1.19 tff(350,plain, % 1.37/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssPv17_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv20_1r1(U)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv20_1r1(U)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))), % 1.37/1.19 inference(bind,[status(th)],[])). % 1.37/1.19 tff(351,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(quant_intro,[status(thm)],[350])). % 1.37/1.19 tff(352,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssPv17_4r1r1r1r1(U, V, W, X))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause18')). % 1.37/1.19 tff(353,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[352, 351])). % 1.37/1.19 tff(354,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[353, 349])). % 1.37/1.19 tff(355,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[354, 347])). % 1.37/1.19 tff(356,plain,( % 1.37/1.19 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(skolemize,[status(sab)],[355])). % 1.37/1.19 tff(357,plain, % 1.37/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), % 1.37/1.19 inference(modus_ponens,[status(thm)],[356, 346])). % 1.37/1.19 tff(358,plain, % 1.37/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))), % 1.40/1.19 inference(rewrite,[status(thm)],[])). % 1.40/1.19 tff(359,plain, % 1.40/1.19 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv20_1r1(elem!0) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))), % 1.40/1.19 inference(rewrite,[status(thm)],[])). % 1.40/1.19 tff(360,plain, % 1.40/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv20_1r1(elem!0) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))))), % 1.40/1.19 inference(monotonicity,[status(thm)],[359])). % 1.40/1.19 tff(361,plain, % 1.40/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv20_1r1(elem!0) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))), % 1.40/1.19 inference(transitivity,[status(thm)],[360, 358])). % 1.40/1.19 tff(362,plain, % 1.40/1.19 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv20_1r1(elem!0) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))), % 1.40/1.19 inference(quant_inst,[status(thm)],[])). % 1.40/1.19 tff(363,plain, % 1.40/1.19 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv20_1r1(U) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_4r1r1r1r1(U, V, W, X)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv20_1r1(elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))), % 1.40/1.19 inference(modus_ponens,[status(thm)],[362, 361])). % 1.40/1.19 tff(364,plain, % 1.40/1.19 (ssPv20_1r1(elem!0) | (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))), % 1.40/1.19 inference(unit_resolution,[status(thm)],[363, 357, 13, 30, 47, 67, 87, 344, 327, 320])). % 1.40/1.19 tff(365,plain, % 1.40/1.19 (~ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), % 1.40/1.19 inference(unit_resolution,[status(thm)],[364, 303])). % 1.40/1.19 tff(366,plain, % 1.40/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))), % 1.40/1.19 inference(bind,[status(th)],[])). % 1.40/1.19 tff(367,plain, % 1.40/1.19 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.19 inference(quant_intro,[status(thm)],[366])). % 1.40/1.19 tff(368,plain, % 1.40/1.19 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.19 inference(rewrite,[status(thm)],[])). % 1.40/1.19 tff(369,plain, % 1.40/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))))), % 1.40/1.19 inference(bind,[status(th)],[])). % 1.40/1.19 tff(370,plain, % 1.40/1.19 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.19 inference(quant_intro,[status(thm)],[369])). % 1.40/1.19 tff(371,plain, % 1.40/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))))), % 1.40/1.20 inference(bind,[status(th)],[])). % 1.40/1.20 tff(372,plain, % 1.40/1.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(quant_intro,[status(thm)],[371])). % 1.40/1.20 tff(373,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause28')). % 1.40/1.20 tff(374,plain, % 1.40/1.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(modus_ponens,[status(thm)],[373, 372])). % 1.40/1.20 tff(375,plain, % 1.40/1.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(modus_ponens,[status(thm)],[374, 370])). % 1.40/1.20 tff(376,plain, % 1.40/1.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(modus_ponens,[status(thm)],[375, 368])). % 1.40/1.20 tff(377,plain,( % 1.40/1.20 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(skolemize,[status(sab)],[376])). % 1.40/1.20 tff(378,plain, % 1.40/1.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), % 1.40/1.20 inference(modus_ponens,[status(thm)],[377, 367])). % 1.40/1.20 tff(379,plain, % 1.40/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))), % 1.40/1.20 inference(rewrite,[status(thm)],[])). % 1.40/1.20 tff(380,plain, % 1.40/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))), % 1.40/1.20 inference(quant_inst,[status(thm)],[])). % 1.40/1.20 tff(381,plain, % 1.40/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)), % 1.40/1.20 inference(modus_ponens,[status(thm)],[380, 379])). % 1.40/1.20 tff(382,plain, % 1.40/1.20 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)), % 1.40/1.20 inference(unit_resolution,[status(thm)],[381, 378, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227])). % 1.40/1.20 tff(383,plain, % 1.40/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23))), % 1.40/1.20 inference(rewrite,[status(thm)],[])). % 1.40/1.20 tff(384,plain, % 1.40/1.20 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23))), % 1.40/1.20 inference(rewrite,[status(thm)],[])). % 1.40/1.20 tff(385,plain, % 1.40/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))), % 1.40/1.21 inference(monotonicity,[status(thm)],[384])). % 1.40/1.21 tff(386,plain, % 1.40/1.21 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23))), % 1.40/1.21 inference(transitivity,[status(thm)],[385, 383])). % 1.40/1.21 tff(387,plain, % 1.40/1.21 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)))), % 1.40/1.21 inference(quant_inst,[status(thm)],[])). % 1.40/1.21 tff(388,plain, % 1.40/1.21 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)), % 1.40/1.21 inference(modus_ponens,[status(thm)],[387, 386])). % 1.40/1.21 tff(389,plain, % 1.40/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)), % 1.40/1.21 inference(unit_resolution,[status(thm)],[388, 240, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227])). % 1.40/1.21 tff(390,plain, % 1.40/1.21 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), % 1.40/1.21 inference(bind,[status(th)],[])). % 1.40/1.21 tff(391,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(quant_intro,[status(thm)],[390])). % 1.40/1.21 tff(392,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(rewrite,[status(thm)],[])). % 1.40/1.21 tff(393,plain, % 1.40/1.21 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))))), % 1.40/1.21 inference(bind,[status(th)],[])). % 1.40/1.21 tff(394,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(quant_intro,[status(thm)],[393])). % 1.40/1.21 tff(395,plain, % 1.40/1.21 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))))), % 1.40/1.21 inference(bind,[status(th)],[])). % 1.40/1.21 tff(396,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(quant_intro,[status(thm)],[395])). % 1.40/1.21 tff(397,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause24')). % 1.40/1.21 tff(398,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(modus_ponens,[status(thm)],[397, 396])). % 1.40/1.21 tff(399,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(modus_ponens,[status(thm)],[398, 394])). % 1.40/1.21 tff(400,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(modus_ponens,[status(thm)],[399, 392])). % 1.40/1.21 tff(401,plain,( % 1.40/1.21 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(skolemize,[status(sab)],[400])). % 1.40/1.21 tff(402,plain, % 1.40/1.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), % 1.40/1.21 inference(modus_ponens,[status(thm)],[401, 391])). % 1.40/1.21 tff(403,plain, % 1.40/1.21 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))), % 1.40/1.22 inference(rewrite,[status(thm)],[])). % 1.40/1.22 tff(404,plain, % 1.40/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))), % 1.40/1.22 inference(quant_inst,[status(thm)],[])). % 1.40/1.22 tff(405,plain, % 1.40/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23))), % 1.40/1.22 inference(modus_ponens,[status(thm)],[404, 403])). % 1.40/1.22 tff(406,plain, % 1.40/1.22 (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)), % 1.40/1.22 inference(unit_resolution,[status(thm)],[405, 402, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207])). % 1.40/1.22 tff(407,plain, % 1.40/1.22 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), % 1.40/1.22 inference(bind,[status(th)],[])). % 1.40/1.22 tff(408,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(quant_intro,[status(thm)],[407])). % 1.40/1.22 tff(409,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(rewrite,[status(thm)],[])). % 1.40/1.22 tff(410,plain, % 1.40/1.22 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))), % 1.40/1.22 inference(bind,[status(th)],[])). % 1.40/1.22 tff(411,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(quant_intro,[status(thm)],[410])). % 1.40/1.22 tff(412,plain, % 1.40/1.22 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv17_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv17_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) | ssPv19_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv19_2r1r1(U, V)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))), % 1.40/1.22 inference(bind,[status(th)],[])). % 1.40/1.22 tff(413,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) | ssPv19_2r1r1(U, V)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(quant_intro,[status(thm)],[412])). % 1.40/1.22 tff(414,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_4r1r1r1r1(U, V, W, X)) | ssPv19_2r1r1(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')). % 1.40/1.22 tff(415,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(modus_ponens,[status(thm)],[414, 413])). % 1.40/1.22 tff(416,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(modus_ponens,[status(thm)],[415, 411])). % 1.40/1.22 tff(417,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(modus_ponens,[status(thm)],[416, 409])). % 1.40/1.22 tff(418,plain,( % 1.40/1.22 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(skolemize,[status(sab)],[417])). % 1.40/1.22 tff(419,plain, % 1.40/1.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), % 1.40/1.22 inference(modus_ponens,[status(thm)],[418, 408])). % 1.40/1.22 tff(420,plain, % 1.40/1.22 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0))), % 1.44/1.23 inference(rewrite,[status(thm)],[])). % 1.44/1.23 tff(421,plain, % 1.44/1.23 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | ssPv19_2r1r1(elem!0, elem!0) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0))), % 1.44/1.23 inference(rewrite,[status(thm)],[])). % 1.44/1.23 tff(422,plain, % 1.44/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | ssPv19_2r1r1(elem!0, elem!0) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0)))), % 1.44/1.23 inference(monotonicity,[status(thm)],[421])). % 1.44/1.23 tff(423,plain, % 1.44/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | ssPv19_2r1r1(elem!0, elem!0) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0))), % 1.44/1.23 inference(transitivity,[status(thm)],[422, 420])). % 1.44/1.23 tff(424,plain, % 1.44/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | ssPv19_2r1r1(elem!0, elem!0) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)))), % 1.44/1.23 inference(quant_inst,[status(thm)],[])). % 1.44/1.23 tff(425,plain, % 1.44/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | ssPv19_2r1r1(U, V) | ssPv17_4r1r1r1r1(U, V, W, X) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv19_2r1r1(elem!0, elem!0)), % 1.44/1.24 inference(modus_ponens,[status(thm)],[424, 423])). % 1.44/1.24 tff(426,plain, % 1.44/1.24 (ssPv17_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | ssPv19_2r1r1(elem!0, elem!0)), % 1.44/1.24 inference(unit_resolution,[status(thm)],[425, 419, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227, 406, 389, 382])). % 1.44/1.24 tff(427,plain, % 1.44/1.24 (ssPv19_2r1r1(elem!0, elem!0)), % 1.44/1.24 inference(unit_resolution,[status(thm)],[426, 365])). % 1.44/1.24 tff(428,assumption,(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)). % 1.44/1.24 tff(429,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(430,plain, % 1.44/1.24 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(431,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))), % 1.44/1.24 inference(monotonicity,[status(thm)],[430])). % 1.44/1.24 tff(432,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))), % 1.44/1.24 inference(transitivity,[status(thm)],[431, 429])). % 1.44/1.24 tff(433,plain, % 1.44/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)))), % 1.44/1.24 inference(quant_inst,[status(thm)],[])). % 1.44/1.24 tff(434,plain, % 1.44/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)), % 1.44/1.24 inference(modus_ponens,[status(thm)],[433, 432])). % 1.44/1.24 tff(435,plain, % 1.44/1.24 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)), % 1.44/1.24 inference(unit_resolution,[status(thm)],[434, 140, 13, 30, 47, 67, 87, 107, 127])). % 1.44/1.24 tff(436,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(437,plain, % 1.44/1.24 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(438,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))), % 1.44/1.24 inference(monotonicity,[status(thm)],[437])). % 1.44/1.24 tff(439,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))), % 1.44/1.24 inference(transitivity,[status(thm)],[438, 436])). % 1.44/1.24 tff(440,plain, % 1.44/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))), % 1.44/1.24 inference(quant_inst,[status(thm)],[])). % 1.44/1.24 tff(441,plain, % 1.44/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)), % 1.44/1.24 inference(modus_ponens,[status(thm)],[440, 439])). % 1.44/1.24 tff(442,plain, % 1.44/1.24 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)), % 1.44/1.24 inference(unit_resolution,[status(thm)],[441, 160, 13, 30, 47, 67, 87, 107, 127, 435])). % 1.44/1.24 tff(443,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(444,plain, % 1.44/1.24 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))), % 1.44/1.24 inference(rewrite,[status(thm)],[])). % 1.44/1.24 tff(445,plain, % 1.44/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))))), % 1.44/1.25 inference(monotonicity,[status(thm)],[444])). % 1.44/1.25 tff(446,plain, % 1.44/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))), % 1.44/1.25 inference(transitivity,[status(thm)],[445, 443])). % 1.44/1.25 tff(447,plain, % 1.44/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)))), % 1.44/1.25 inference(quant_inst,[status(thm)],[])). % 1.44/1.25 tff(448,plain, % 1.44/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24))), % 1.44/1.25 inference(modus_ponens,[status(thm)],[447, 446])). % 1.44/1.25 tff(449,plain, % 1.44/1.25 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)), % 1.44/1.25 inference(unit_resolution,[status(thm)],[448, 180, 13, 30, 47, 67, 87, 107, 127, 435, 442])). % 1.44/1.25 tff(450,plain, % 1.44/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))), % 1.44/1.25 inference(rewrite,[status(thm)],[])). % 1.44/1.25 tff(451,plain, % 1.44/1.25 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))), % 1.44/1.25 inference(rewrite,[status(thm)],[])). % 1.44/1.25 tff(452,plain, % 1.44/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))), % 1.44/1.25 inference(monotonicity,[status(thm)],[451])). % 1.44/1.25 tff(453,plain, % 1.44/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))), % 1.44/1.25 inference(transitivity,[status(thm)],[452, 450])). % 1.44/1.25 tff(454,plain, % 1.44/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)))), % 1.44/1.25 inference(quant_inst,[status(thm)],[])). % 1.44/1.25 tff(455,plain, % 1.44/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)), % 1.44/1.25 inference(modus_ponens,[status(thm)],[454, 453])). % 1.44/1.25 tff(456,plain, % 1.44/1.25 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)), % 1.44/1.25 inference(unit_resolution,[status(thm)],[455, 200, 13, 30, 47, 67, 87, 107, 127, 435, 442, 449])). % 1.44/1.25 tff(457,plain, % 1.44/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23)))), % 1.44/1.26 inference(rewrite,[status(thm)],[])). % 1.44/1.26 tff(458,plain, % 1.44/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23)))), % 1.44/1.26 inference(quant_inst,[status(thm)],[])). % 1.44/1.26 tff(459,plain, % 1.44/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23))), % 1.44/1.26 inference(modus_ponens,[status(thm)],[458, 457])). % 1.44/1.26 tff(460,plain, % 1.44/1.26 ($false), % 1.44/1.26 inference(unit_resolution,[status(thm)],[459, 402, 13, 30, 47, 67, 87, 107, 127, 435, 442, 449, 456, 428])). % 1.44/1.26 tff(461,plain,(~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))). % 1.44/1.26 tff(462,plain, % 1.44/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))), % 1.44/1.26 inference(rewrite,[status(thm)],[])). % 1.44/1.26 tff(463,plain, % 1.44/1.26 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))), % 1.44/1.26 inference(rewrite,[status(thm)],[])). % 1.44/1.26 tff(464,plain, % 1.44/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))))), % 1.44/1.26 inference(monotonicity,[status(thm)],[463])). % 1.44/1.26 tff(465,plain, % 1.44/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))), % 1.44/1.26 inference(transitivity,[status(thm)],[464, 462])). % 1.44/1.26 tff(466,plain, % 1.44/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24)))), % 1.44/1.26 inference(quant_inst,[status(thm)],[])). % 1.44/1.26 tff(467,plain, % 1.44/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24))), % 1.44/1.26 inference(modus_ponens,[status(thm)],[466, 465])). % 1.44/1.26 tff(468,plain, % 1.44/1.26 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25, skc24, skc24, skc24, skc24)), % 1.44/1.26 inference(unit_resolution,[status(thm)],[467, 220, 13, 30, 47, 67, 87, 107, 127, 435, 442, 449, 456])). % 1.44/1.26 tff(469,plain, % 1.44/1.26 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), % 1.44/1.26 inference(bind,[status(th)],[])). % 1.44/1.26 tff(470,plain, % 1.44/1.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.26 inference(quant_intro,[status(thm)],[469])). % 1.44/1.26 tff(471,plain, % 1.44/1.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.26 inference(rewrite,[status(thm)],[])). % 1.44/1.26 tff(472,plain, % 1.44/1.26 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))))), % 1.44/1.26 inference(bind,[status(th)],[])). % 1.44/1.26 tff(473,plain, % 1.44/1.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.26 inference(quant_intro,[status(thm)],[472])). % 1.44/1.26 tff(474,plain, % 1.44/1.26 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))))), % 1.44/1.27 inference(bind,[status(th)],[])). % 1.44/1.27 tff(475,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(quant_intro,[status(thm)],[474])). % 1.44/1.27 tff(476,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause16')). % 1.44/1.27 tff(477,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(modus_ponens,[status(thm)],[476, 475])). % 1.44/1.27 tff(478,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(modus_ponens,[status(thm)],[477, 473])). % 1.44/1.27 tff(479,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(modus_ponens,[status(thm)],[478, 471])). % 1.44/1.27 tff(480,plain,( % 1.44/1.27 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(skolemize,[status(sab)],[479])). % 1.44/1.27 tff(481,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), % 1.44/1.27 inference(modus_ponens,[status(thm)],[480, 470])). % 1.44/1.27 tff(482,plain, % 1.44/1.27 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))), % 1.44/1.27 inference(rewrite,[status(thm)],[])). % 1.44/1.27 tff(483,plain, % 1.44/1.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)))), % 1.44/1.27 inference(quant_inst,[status(thm)],[])). % 1.44/1.27 tff(484,plain, % 1.44/1.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25))), % 1.44/1.27 inference(modus_ponens,[status(thm)],[483, 482])). % 1.44/1.27 tff(485,plain, % 1.44/1.27 (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc26, skc25)), % 1.44/1.27 inference(unit_resolution,[status(thm)],[484, 481, 13, 30, 47, 67, 87, 107])). % 1.44/1.27 tff(486,plain, % 1.44/1.27 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), % 1.44/1.27 inference(bind,[status(th)],[])). % 1.44/1.27 tff(487,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), % 1.44/1.27 inference(quant_intro,[status(thm)],[486])). % 1.44/1.27 tff(488,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), % 1.44/1.27 inference(rewrite,[status(thm)],[])). % 1.44/1.27 tff(489,plain, % 1.44/1.27 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), % 1.44/1.27 inference(bind,[status(th)],[])). % 1.44/1.27 tff(490,plain, % 1.44/1.27 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv20_1r1(U) | ssPv18_3r1r1r1(U, V, W) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), % 1.44/1.27 inference(quant_intro,[status(thm)],[489])). % 1.44/1.27 tff(491,plain, % 1.44/1.27 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~