TSTP Solution File: NUM458+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 : 600s
% DateTime : Mon Jul 18 13:36:43 EDT 2022
% Result : Theorem 1.29s 1.48s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 11:09:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.29/1.48 # Version: 1.3
% 1.29/1.48 # SZS status Theorem
% 1.29/1.48 # SZS output start CNFRefutation
% 1.29/1.48 fof(m__,conjecture,sdtlseqdt0(xm,xm),input).
% 1.29/1.48 fof(c5,negated_conjecture,(~sdtlseqdt0(xm,xm)),inference(assume_negation,status(cth),[m__])).
% 1.29/1.48 fof(c6,negated_conjecture,~sdtlseqdt0(xm,xm),inference(fof_simplification,status(thm),[c5])).
% 1.29/1.48 cnf(c7,negated_conjecture,~sdtlseqdt0(xm,xm),inference(split_conjunct,status(thm),[c6])).
% 1.29/1.48 fof(m__718,plain,aNaturalNumber0(xm),input).
% 1.29/1.48 cnf(c8,plain,aNaturalNumber0(xm),inference(split_conjunct,status(thm),[m__718])).
% 1.29/1.48 fof(mSortsC,axiom,aNaturalNumber0(sz00),input).
% 1.29/1.48 cnf(c84,axiom,aNaturalNumber0(sz00),inference(split_conjunct,status(thm),[mSortsC])).
% 1.29/1.48 fof(m_AddZero,axiom,(![W0]:(aNaturalNumber0(W0)=>(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),input).
% 1.29/1.48 fof(c65,axiom,(![W0]:(~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),inference(fof_nnf,status(thm),[m_AddZero])).
% 1.29/1.48 fof(c66,axiom,(![X30]:(~aNaturalNumber0(X30)|(sdtpldt0(X30,sz00)=X30&X30=sdtpldt0(sz00,X30)))),inference(variable_rename,status(thm),[c65])).
% 1.29/1.48 fof(c67,axiom,(![X30]:((~aNaturalNumber0(X30)|sdtpldt0(X30,sz00)=X30)&(~aNaturalNumber0(X30)|X30=sdtpldt0(sz00,X30)))),inference(distribute,status(thm),[c66])).
% 1.29/1.48 cnf(c68,axiom,~aNaturalNumber0(X66)|sdtpldt0(X66,sz00)=X66,inference(split_conjunct,status(thm),[c67])).
% 1.29/1.48 cnf(c159,plain,sdtpldt0(xm,sz00)=xm,inference(resolution,status(thm),[c68, c8])).
% 1.29/1.48 fof(mDefLE,plain,(![W0]:(![W1]:((aNaturalNumber0(W0)&aNaturalNumber0(W1))=>(sdtlseqdt0(W0,W1)<=>(?[W2]:(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),input).
% 1.29/1.48 fof(c17,plain,(![W0]:(![W1]:((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(?[W2]:(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&((![W2]:(~aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1))|sdtlseqdt0(W0,W1)))))),inference(fof_nnf,status(thm),[mDefLE])).
% 1.29/1.48 fof(c18,plain,(![X6]:(![X7]:((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|((~sdtlseqdt0(X6,X7)|(?[X8]:(aNaturalNumber0(X8)&sdtpldt0(X6,X8)=X7)))&((![X9]:(~aNaturalNumber0(X9)|sdtpldt0(X6,X9)!=X7))|sdtlseqdt0(X6,X7)))))),inference(variable_rename,status(thm),[c17])).
% 1.29/1.48 fof(c20,plain,(![X6]:(![X7]:(![X9]:((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|((~sdtlseqdt0(X6,X7)|(aNaturalNumber0(skolem0001(X6,X7))&sdtpldt0(X6,skolem0001(X6,X7))=X7))&((~aNaturalNumber0(X9)|sdtpldt0(X6,X9)!=X7)|sdtlseqdt0(X6,X7))))))),inference(shift_quantors,status(thm),[fof(c19,plain,(![X6]:(![X7]:((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|((~sdtlseqdt0(X6,X7)|(aNaturalNumber0(skolem0001(X6,X7))&sdtpldt0(X6,skolem0001(X6,X7))=X7))&((![X9]:(~aNaturalNumber0(X9)|sdtpldt0(X6,X9)!=X7))|sdtlseqdt0(X6,X7)))))),inference(skolemize,status(esa),[c18])).])).
% 1.29/1.48 fof(c21,plain,(![X6]:(![X7]:(![X9]:((((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|(~sdtlseqdt0(X6,X7)|aNaturalNumber0(skolem0001(X6,X7))))&((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|(~sdtlseqdt0(X6,X7)|sdtpldt0(X6,skolem0001(X6,X7))=X7)))&((~aNaturalNumber0(X6)|~aNaturalNumber0(X7))|((~aNaturalNumber0(X9)|sdtpldt0(X6,X9)!=X7)|sdtlseqdt0(X6,X7))))))),inference(distribute,status(thm),[c20])).
% 1.29/1.48 cnf(c24,plain,~aNaturalNumber0(X89)|~aNaturalNumber0(X88)|~aNaturalNumber0(X87)|sdtpldt0(X89,X87)!=X88|sdtlseqdt0(X89,X88),inference(split_conjunct,status(thm),[c21])).
% 1.29/1.48 cnf(c277,plain,~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)|sdtlseqdt0(xm,xm),inference(resolution,status(thm),[c24, c159])).
% 1.29/1.48 cnf(c3855,plain,~aNaturalNumber0(xm)|sdtlseqdt0(xm,xm),inference(resolution,status(thm),[c277, c84])).
% 1.29/1.48 cnf(c3856,plain,sdtlseqdt0(xm,xm),inference(resolution,status(thm),[c3855, c8])).
% 1.29/1.48 cnf(c3884,plain,$false,inference(resolution,status(thm),[c3856, c7])).
% 1.29/1.48 # SZS output end CNFRefutation
% 1.29/1.48
% 1.29/1.48 # Initial clauses : 41
% 1.29/1.48 # Processed clauses : 267
% 1.29/1.48 # Factors computed : 0
% 1.29/1.48 # Resolvents computed: 3801
% 1.29/1.48 # Tautologies deleted: 2
% 1.29/1.48 # Forward subsumed : 92
% 1.29/1.48 # Backward subsumed : 4
% 1.29/1.48 # -------- CPU Time ---------
% 1.29/1.48 # User time : 1.113 s
% 1.29/1.48 # System time : 0.020 s
% 1.29/1.48 # Total time : 1.133 s
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