TSTP Solution File: COM021+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 18:37:01 EDT 2023
% Result : Theorem 0.58s 0.79s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 12:34:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.58/0.79 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.q4SQVP73zd/cvc5---1.0.5_18857.p...
% 0.58/0.79 ------- get file name : TPTP file name is COM021+4
% 0.58/0.79 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18857.smt2...
% 0.58/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.58/0.79 % SZS status Theorem for COM021+4
% 0.58/0.79 % SZS output start Proof for COM021+4
% 0.58/0.79 (
% 0.58/0.79 (let ((_let_1 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd))) (let ((_let_2 (not (or (= tptp.xb tptp.xd) (tptp.aReductOfIn0 tptp.xd tptp.xb tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xb tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xd))) (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xd) _let_1)))) (let ((_let_3 (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR tptp.xx))) (let ((_let_4 (tptp.aReductOfIn0 tptp.xx tptp.xd tptp.xR))) (let ((_let_5 (= tptp.xd tptp.xx))) (let ((_let_6 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xx))) (let ((_let_7 (and (tptp.aElement0 tptp.xx) (or (= tptp.xb tptp.xx) (and (or (tptp.aReductOfIn0 tptp.xx tptp.xb tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xb tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xx)))) (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xx))) _let_6 (or _let_5 (and (or _let_4 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xd tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xx)))) _let_3)) (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR tptp.xx)))) (let ((_let_8 (and (tptp.aElement0 tptp.xd) (or (= tptp.xw tptp.xd) (and (or (tptp.aReductOfIn0 tptp.xd tptp.xw tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xw tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xd)))) (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR tptp.xd))) (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd) (not (exists ((W0 $$unsorted)) (tptp.aReductOfIn0 W0 tptp.xd tptp.xR))) (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR)))) (let ((_let_9 (forall ((W0 $$unsorted)) (not (tptp.aReductOfIn0 W0 tptp.xd tptp.xR))))) (let ((_let_10 (3))) (let ((_let_11 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args _let_10))) (let ((_let_12 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xx)))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_4 _let_13))) (let ((_let_15 (and _let_14 _let_3))) (let ((_let_16 (not _let_5))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_6))) (let ((_let_19 (or))) (let ((_let_20 (not _let_1))) (let ((_let_21 (ASSUME :args (_let_20)))) (let ((_let_22 (ASSUME :args (_let_5)))) (let ((_let_23 (ASSUME :args (_let_6)))) (let ((_let_24 (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xd tptp.xR))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_25 (not (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xR tptp.xx))))) (let ((_let_27 (_let_9))) (let ((_let_28 ((not (= (tptp.aReductOfIn0 W0 tptp.xd tptp.xR) false))))) (let ((_let_29 (ASSUME :args _let_27))) (let ((_let_30 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_4 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) (REFL :args ((not _let_26))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_19)) :args ((or _let_24 _let_26))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_11 :args (_let_25 false _let_9)) :args (_let_26 true _let_24)) :args (_let_12 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_17 :args _let_10) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_21 _let_22 _let_23) :args (_let_6 _let_5 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_23)) (CONG (REFL :args (tptp.xb)) (REFL :args (tptp.xR)) (SYMM _let_22) :args (APPLY_UF tptp.sdtmndtasgtdt0)) (FALSE_INTRO _let_21))) :args (_let_20 _let_5 _let_6)) :args ((not (and _let_6 _let_5 _let_20)) SB_LITERAL))) (CONG (REFL :args (_let_18)) (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_1))) :args _let_19)) :args ((or _let_1 _let_18 _let_16))) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (4)) (AND_ELIM _let_17 :args (2)) :args (_let_16 true _let_1 false _let_6)) :args (_let_15 true _let_5)) :args (_let_14 false _let_15)) :args (_let_4 false _let_12 false _let_14)) _let_11 :args (false false _let_4 false _let_9)) :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 $$unsorted)) (tptp.aReductOfIn0 W3 W2 W1)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) (tptp.aRewritingSystem0 tptp.xR) (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 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W2 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1)) (tptp.iLess0 W1 W0)))) (tptp.isTerminating0 tptp.xR)) (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc)) (forall ((W0 $$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 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc)) (and (tptp.aElement0 tptp.xw) (or (= tptp.xu tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR) (exists ((W0 $$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_8 _let_7 _let_2 true)))))))))))))))))))))))))))))))))
% 0.58/0.80 )
% 0.58/0.80 % SZS output end Proof for COM021+4
% 0.58/0.80 % cvc5---1.0.5 exiting
% 0.58/0.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------