TSTP Solution File: GRP125-1.003 by cvc5---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0
% Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Fri Sep 16 20:58:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Aug 31 15:06:57 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.46  ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p...
% 0.19/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% 0.19/0.50  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (product X Y Z1)) (not (product Y X Z2)) (product Z1 Z2 X))))) (let ((_let_2 (forall ((X $$unsorted)) (product X X X)))) (let ((_let_3 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (product W Y X)) (not (product Z Y X)) (equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (product X W Y)) (not (product X Z Y)) (equalish W Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (product X Y W)) (not (product X Y Z)) (equalish W Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (group_element X)) (not (group_element Y)) (product X Y e_1) (product X Y e_2) (product X Y e_3))))) (let ((_let_7 (equalish e_3 e_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (equalish e_3 e_1))) (let ((_let_10 (not _let_9))) (let ((_let_11 (equalish e_1 e_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (group_element e_3))) (let ((_let_14 (group_element e_2))) (let ((_let_15 (group_element e_1))) (let ((_let_16 (product e_3 e_2 e_2))) (let ((_let_17 (product e_3 e_2 e_3))) (let ((_let_18 (product e_3 e_2 e_1))) (let ((_let_19 (not _let_14))) (let ((_let_20 (not _let_13))) (let ((_let_21 (or _let_20 _let_19 _let_18 _let_16 _let_17))) (let ((_let_22 (ASSUME :args (_let_14)))) (let ((_let_23 (ASSUME :args (_let_13)))) (let ((_let_24 (product e_2 e_2 e_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_16))) (let ((_let_27 (or _let_26 _let_25 _let_7))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (product Z Y X) false)) (not (= (equalish W Z) true))))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (e_2 QUANTIFIERS_INST_ENUM)) :args _let_31)) _let_32 :args (_let_24 false _let_2)))) (let ((_let_34 (ASSUME :args (_let_8)))) (let ((_let_35 (_let_6))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (product e_1 e_2 e_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_17))) (let ((_let_40 (or _let_39 _let_38 _let_9))) (let ((_let_41 (product e_1 e_2 e_2))) (let ((_let_42 (product e_1 e_2 e_1))) (let ((_let_43 (not _let_15))) (let ((_let_44 (or _let_43 _let_19 _let_42 _let_41 _let_37))) (let ((_let_45 (not _let_41))) (let ((_let_46 (or _let_45 _let_25 _let_11))) (let ((_let_47 (ASSUME :args (_let_12)))) (let ((_let_48 (not _let_42))) (let ((_let_49 (product e_1 e_1 e_1))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_11))) (let ((_let_52 (_let_4))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (e_1 e_1 e_1 e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (e_1 QUANTIFIERS_INST_ENUM)) :args _let_31)) _let_32 :args (_let_49 false _let_2)))) (let ((_let_56 (ASSUME :args (_let_15)))) (let ((_let_57 (ASSUME :args (_let_10)))) (let ((_let_58 (product e_1 e_1 e_2))) (let ((_let_59 (not _let_18))) (let ((_let_60 (product e_2 e_3 e_1))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_58))) (let ((_let_63 (_let_1))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (product e_2 e_3 e_3))) (let ((_let_66 (product e_2 e_3 e_2))) (let ((_let_67 (or _let_19 _let_20 _let_60 _let_66 _let_65))) (let ((_let_68 (not _let_66))) (let ((_let_69 (or _let_68 _let_25 _let_7))) (let ((_let_70 ((not (= (equalish W Z) true)) (not (= (product X Z Y) false))))) (let ((_let_71 (product e_2 e_1 e_3))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_65))) (let ((_let_74 (or _let_73 _let_72 _let_9))) (let ((_let_75 (product e_2 e_1 e_2))) (let ((_let_76 (product e_2 e_1 e_1))) (let ((_let_77 (or _let_19 _let_43 _let_76 _let_75 _let_71))) (let ((_let_78 (not _let_75))) (let ((_let_79 (or _let_78 _let_25 _let_11))) (let ((_let_80 (not _let_76))) (let ((_let_81 (or _let_50 _let_80 _let_11))) (let ((_let_82 (not _let_58))) (let ((_let_83 (or _let_50 _let_82 _let_11))) (let ((_let_84 (_let_5))) (let ((_let_85 (ASSUME :args _let_84))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_19 _let_20 _let_16 _let_18 _let_17 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_59 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_11 _let_50 _let_82 (not _let_83)))) _let_47 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_54) :args _let_84)) _let_85 :args (_let_83 false _let_5)) :args (_let_82 true _let_11 false _let_49 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_19 _let_20 _let_65 _let_60 _let_66 (not _let_67)))) _let_22 _let_23 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_9 _let_72 _let_73 (not _let_74)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_43 _let_19 _let_76 _let_75 _let_71 (not _let_77)))) _let_56 _let_22 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_11 _let_50 _let_80 (not _let_81)))) _let_47 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_54) :args _let_28)) _let_29 :args (_let_81 false _let_3)) :args (_let_80 true _let_11 false _let_49 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_11 _let_25 _let_78 (not _let_79)))) _let_47 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (e_2 e_1 e_2 e_2 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_52)) _let_53 :args (_let_79 false _let_4)) :args (_let_78 true _let_11 false _let_24 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (e_2 e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (product X Y e_1) true))))) :args _let_35)) _let_36 :args (_let_77 false _let_6)) :args (_let_71 false _let_15 false _let_14 true _let_76 true _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (e_2 e_3 e_3 e_1 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_52)) _let_53 :args (_let_74 false _let_4)) :args (_let_73 true _let_9 false _let_71 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_7 _let_25 _let_68 (not _let_69)))) _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (e_2 e_3 e_2 e_2 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_52)) _let_53 :args (_let_69 false _let_4)) :args (_let_68 true _let_7 false _let_24 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (e_2 e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (product X Y e_3) true))))) :args _let_35)) _let_36 :args (_let_67 false _let_6)) :args (_let_60 false _let_14 false _let_13 true _let_65 true _let_66 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (e_2 e_3 e_1 e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (product X Y Z1) false)) (not (= (product Z1 Z2 X) true))))) :args _let_63)) _let_64 :args (_let_62 false _let_1)) :args (_let_59 true _let_58 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_9 _let_38 _let_39 (not _let_40)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_19 _let_42 _let_41 _let_37 (not _let_44)))) _let_56 _let_22 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_11 _let_50 _let_48 (not _let_51)))) _let_47 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_54) :args _let_52)) _let_53 :args (_let_51 false _let_4)) :args (_let_48 true _let_11 false _let_49 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_11 _let_45 _let_25 (not _let_46)))) _let_47 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (e_1 e_2 e_2 e_2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_46 false _let_3)) :args (_let_45 true _let_11 false _let_24 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (e_1 e_2 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_44 false _let_6)) :args (_let_37 false _let_15 false _let_14 true _let_42 true _let_41 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (e_3 e_2 e_3 e_1 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_40 false _let_3)) :args (_let_39 true _let_9 false _let_37 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (e_3 e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (product X Y e_2) true))))) :args _let_35)) _let_36 :args (_let_21 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_7 _let_25 _let_26 (not _let_27)))) _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (e_3 e_2 e_2 e_2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_3)) :args (_let_26 true _let_7 false _let_24 false _let_27)) _let_23 _let_22 :args (false true _let_18 true _let_17 false _let_21 true _let_16 false _let_13 false _let_14)) :args (_let_15 _let_14 _let_13 _let_12 (not (equalish e_1 e_3)) (not (equalish e_2 e_1)) (not (equalish e_2 e_3)) _let_10 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.50  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------