%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 : Wed Aug 30 18:36:59 EDT 2023

% Result   : Theorem 10.59s 10.80s
% Output   : Proof 10.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 13:30:52 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 10.59/10.80  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IdsM0Q93JP/cvc5---1.0.5_10265.p...
% 10.59/10.80  ------- get file name : TPTP file name is COM018+4
% 10.59/10.80  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10265.smt2...
% 10.59/10.80  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.59/10.80  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.59/10.80  % SZS status Theorem for COM018+4
% 10.59/10.80  % SZS output start Proof for COM018+4
% 10.59/10.80  (
% 10.59/10.80  (let ((_let_1 (not (exists ((W0 $$unsorted)) (or (and (tptp.aElement0 W0) (or (= tptp.xw W0) (tptp.aReductOfIn0 W0 tptp.xw tptp.xR) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xw tptp.xR) (tptp.sdtmndtplgtdt0 W1 tptp.xR W0))) (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR W0)) (not (exists ((W1 $$unsorted)) (tptp.aReductOfIn0 W1 W0 tptp.xR)))) (tptp.aNormalFormOfIn0 W0 tptp.xw tptp.xR)))))) (let ((_let_2 (tptp.aElement0 tptp.xw))) (let ((_let_3 (and _let_2 (or (= tptp.xu tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xw)))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw) (or (= tptp.xv tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xv tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xw)))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw)))) (let ((_let_4 (tptp.isTerminating0 tptp.xR))) (let ((_let_5 (and (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aReductOfIn0 W1 W0 tptp.xR) (tptp.aReductOfIn0 W2 W0 tptp.xR)) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (or (= W1 W3) (and (or (tptp.aReductOfIn0 W3 W1 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W1 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W1 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (or (= W2 W3) (and (or (tptp.aReductOfIn0 W3 W2 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W2 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W2 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))) (tptp.isLocallyConfluent0 tptp.xR) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (or (tptp.aReductOfIn0 W1 W0 tptp.xR) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W2 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1)) (tptp.iLess0 W1 W0)))) _let_4))) (let ((_let_6 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))))) (let ((_let_8 (forall ((W2 $$unsorted)) (not (tptp.aNormalFormOfIn0 W2 tptp.xw tptp.xR))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_2))) (let ((_let_11 (not _let_4))) (let ((_let_12 (not _let_6))) (let ((_let_13 (or _let_12 _let_11 _let_10 _let_9))) (let ((_let_14 (forall ((BOUND_VARIABLE_1700 $$unsorted)) (not (tptp.aNormalFormOfIn0 BOUND_VARIABLE_1700 tptp.xw tptp.xR))))) (let ((_let_15 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1272 $$unsorted)) (or (not (tptp.aRewritingSystem0 W0)) (not (tptp.isTerminating0 W0)) (not (tptp.aElement0 BOUND_VARIABLE_1272)) (not (forall ((W2 $$unsorted)) (not (tptp.aNormalFormOfIn0 W2 BOUND_VARIABLE_1272 W0)))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_11 _let_10 _let_9 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.xR tptp.xw QUANTIFIERS_INST_ENUM)) :args (_let_15))) _let_16 :args (_let_13 false _let_15)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_14 (= BOUND_VARIABLE_1700 W2)))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (1)) :args (_let_8 false _let_14)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (0)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args (3)) (ASSUME :args (_let_6)) :args (false false _let_13 false _let_8 false _let_2 false _let_4 false _let_6)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) true)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aReductOfIn0 W2 W0 W1) (tptp.aElement0 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.sdtmndtasgtdt0 W1 W0 W2) (tptp.sdtmndtasgtdt0 W1 W0 W3)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isLocallyConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.aReductOfIn0 W2 W1 W0) (tptp.aReductOfIn0 W3 W1 W0)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isTerminating0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W1 W0 W2) (tptp.iLess0 W2 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (= (tptp.aNormalFormOfIn0 W2 W0 W1) (and (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 W1 W2) (not (exists ((W3 $$unsorted)) (tptp.aReductOfIn0 W3 W2 W1)))))))) _let_7 _let_6 _let_5 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc)) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (or (= W0 W1) (tptp.aReductOfIn0 W1 W0 tptp.xR) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W3 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1) (tptp.sdtmndtasgtdt0 W0 tptp.xR W1)) (or (= W0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W3 tptp.xR W2))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W2) (tptp.sdtmndtasgtdt0 W0 tptp.xR W2))) (=> (tptp.iLess0 W0 tptp.xa) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (or (= W1 W3) (and (or (tptp.aReductOfIn0 W3 W1 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W1 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W1 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (or (= W2 W3) (and (or (tptp.aReductOfIn0 W3 W2 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W2 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W2 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3)))))) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)) (and (tptp.aElement0 tptp.xu) (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR) (or (= tptp.xu tptp.xb) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb)) (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc)) _let_3 _let_1 true)))))))))))))))))))
% 10.59/10.80  )
% 10.59/10.80  % SZS output end Proof for COM018+4
% 10.59/10.80  % cvc5---1.0.5 exiting
% 10.59/10.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------