TSTP Solution File: SYN721+1 by cvc5---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 21:26:40 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n006.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   : Mon Sep  5 06:44:08 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% 0.19/0.49  (let ((_let_1 (r a b))) (let ((_let_2 (not (=> (and _let_1 (forall ((X $$unsorted)) (=> (exists ((Y $$unsorted)) (r X Y)) (q X X))) (forall ((U $$unsorted) (V $$unsorted)) (=> (q U V) (forall ((Z $$unsorted)) (r Z V))))) (exists ((W $$unsorted)) (and (r b W) (q W a))))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (BOUND_VARIABLE_374 $$unsorted)) (or (not (q U V)) (r BOUND_VARIABLE_374 V))))) (let ((_let_4 (r b a))) (let ((_let_5 (q a a))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (NOT_IMPLIES_ELIM1 _let_8))) (let ((_let_10 (not _let_7))) (let ((_let_11 (not _let_4))) (let ((_let_12 (or _let_11 _let_6))) (let ((_let_13 (forall ((W $$unsorted)) (or (not (r b W)) (not (q W a)))))) (let ((_let_14 (_let_13))) (let ((_let_15 (not _let_1))) (let ((_let_16 (or _let_15 _let_5))) (let ((_let_17 (forall ((X $$unsorted) (BOUND_VARIABLE_364 $$unsorted)) (or (not (r X BOUND_VARIABLE_364)) (q X X))))) (let ((_let_18 (_let_17))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_5 (not _let_16)))) (AND_ELIM _let_9 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (a b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (r X BOUND_VARIABLE_364) false))))) :args _let_18)) (AND_ELIM _let_9 :args (1)) :args (_let_16 false _let_17)) :args (_let_5 false _let_1 false _let_16)))) (let ((_let_20 (_let_3))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args (a a b QUANTIFIERS_INST_E_MATCHING ((not (= (q U V) false)) (not (= (r BOUND_VARIABLE_374 V) true))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_10))) _let_19 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_6 _let_11 (not _let_12)))) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args (a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (q W a) false))))) :args _let_14)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_8)) :args (_let_12 false _let_13)) :args (_let_11 false _let_5 false _let_12)) :args (_let_10 false _let_5 true _let_4)) (AND_ELIM _let_9 :args (2)) :args (false true _let_7 false _let_3)) :args (_let_2 true))))))))))))))))))))))
% 0.19/0.49  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------