TSTP Solution File: NUM482+3 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM482+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 May 9 17:35:56 EDT 2024
% Result : Theorem 0.75s 0.96s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM482+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed May 8 15:48:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.75/0.96 % Version: 1.5
% 0.75/0.96 % SZS status Theorem
% 0.75/0.96 % SZS output start CNFRefutation
% 0.75/0.96 fof(m__1716,plain,aNaturalNumber0(xk),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1716)).
% 0.75/0.96 cnf(c48,plain,aNaturalNumber0(xk),inference(split_conjunct,[status(thm)],[m__1716])).
% 0.75/0.96 fof(mSortsC_01,axiom,(aNaturalNumber0(sz10)&sz10!=sz00),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsC_01)).
% 0.75/0.96 cnf(c208,plain,aNaturalNumber0(sz10),inference(split_conjunct,[status(thm)],[mSortsC_01])).
% 0.75/0.96 fof(m__,conjecture,(((![W0]:((aNaturalNumber0(W0)&((?[W1]:(aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))|doDivides0(W0,xk)))=>(W0=sz10|W0=xk)))&isPrime0(xk))=>(?[W0]:((aNaturalNumber0(W0)&((?[W1]:(aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))|doDivides0(W0,xk)))&(((W0!=sz00&W0!=sz10)&(![W1]:(((aNaturalNumber0(W1)&(?[W2]:(aNaturalNumber0(W2)&W0=sdtasdt0(W1,W2))))&doDivides0(W1,W0))=>(W1=sz10|W1=W0))))|isPrime0(W0))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.75/0.96 fof(c9,negated_conjecture,(~(((![W0]:((aNaturalNumber0(W0)&((?[W1]:(aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))|doDivides0(W0,xk)))=>(W0=sz10|W0=xk)))&isPrime0(xk))=>(?[W0]:((aNaturalNumber0(W0)&((?[W1]:(aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))|doDivides0(W0,xk)))&(((W0!=sz00&W0!=sz10)&(![W1]:(((aNaturalNumber0(W1)&(?[W2]:(aNaturalNumber0(W2)&W0=sdtasdt0(W1,W2))))&doDivides0(W1,W0))=>(W1=sz10|W1=W0))))|isPrime0(W0)))))),inference(assume_negation,[status(cth)],[m__])).
% 0.75/0.96 fof(c10,negated_conjecture,(((![W0]:((~aNaturalNumber0(W0)|((![W1]:(~aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)))&~doDivides0(W0,xk)))|(W0=sz10|W0=xk)))&isPrime0(xk))&(![W0]:((~aNaturalNumber0(W0)|((![W1]:(~aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)))&~doDivides0(W0,xk)))|(((W0=sz00|W0=sz10)|(?[W1]:(((aNaturalNumber0(W1)&(?[W2]:(aNaturalNumber0(W2)&W0=sdtasdt0(W1,W2))))&doDivides0(W1,W0))&(W1!=sz10&W1!=W0))))&~isPrime0(W0))))),inference(fof_nnf,[status(thm)],[c9])).
% 0.75/0.96 fof(c11,negated_conjecture,(((![X2]:((~aNaturalNumber0(X2)|((![X3]:(~aNaturalNumber0(X3)|xk!=sdtasdt0(X2,X3)))&~doDivides0(X2,xk)))|(X2=sz10|X2=xk)))&isPrime0(xk))&(![X4]:((~aNaturalNumber0(X4)|((![X5]:(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))&~doDivides0(X4,xk)))|(((X4=sz00|X4=sz10)|(?[X6]:(((aNaturalNumber0(X6)&(?[X7]:(aNaturalNumber0(X7)&X4=sdtasdt0(X6,X7))))&doDivides0(X6,X4))&(X6!=sz10&X6!=X4))))&~isPrime0(X4))))),inference(variable_rename,[status(thm)],[c10])).
% 0.75/0.96 fof(c13,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:((((~aNaturalNumber0(X2)|((~aNaturalNumber0(X3)|xk!=sdtasdt0(X2,X3))&~doDivides0(X2,xk)))|(X2=sz10|X2=xk))&isPrime0(xk))&((~aNaturalNumber0(X4)|((~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5))&~doDivides0(X4,xk)))|(((X4=sz00|X4=sz10)|(((aNaturalNumber0(skolem0001(X4))&(aNaturalNumber0(skolem0002(X4))&X4=sdtasdt0(skolem0001(X4),skolem0002(X4))))&doDivides0(skolem0001(X4),X4))&(skolem0001(X4)!=sz10&skolem0001(X4)!=X4)))&~isPrime0(X4)))))))),inference(shift_quantors,[status(thm)],[fof(c12,negated_conjecture,(((![X2]:((~aNaturalNumber0(X2)|((![X3]:(~aNaturalNumber0(X3)|xk!=sdtasdt0(X2,X3)))&~doDivides0(X2,xk)))|(X2=sz10|X2=xk)))&isPrime0(xk))&(![X4]:((~aNaturalNumber0(X4)|((![X5]:(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))&~doDivides0(X4,xk)))|(((X4=sz00|X4=sz10)|(((aNaturalNumber0(skolem0001(X4))&(aNaturalNumber0(skolem0002(X4))&X4=sdtasdt0(skolem0001(X4),skolem0002(X4))))&doDivides0(skolem0001(X4),X4))&(skolem0001(X4)!=sz10&skolem0001(X4)!=X4)))&~isPrime0(X4))))),inference(skolemize,[status(esa)],[c11])).])).
% 0.75/0.96 fof(c14,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(((((~aNaturalNumber0(X2)|(~aNaturalNumber0(X3)|xk!=sdtasdt0(X2,X3)))|(X2=sz10|X2=xk))&((~aNaturalNumber0(X2)|~doDivides0(X2,xk))|(X2=sz10|X2=xk)))&isPrime0(xk))&(((((((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|aNaturalNumber0(skolem0001(X4))))&(((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|aNaturalNumber0(skolem0002(X4))))&((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|X4=sdtasdt0(skolem0001(X4),skolem0002(X4))))))&((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|doDivides0(skolem0001(X4),X4))))&(((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|skolem0001(X4)!=sz10))&((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|((X4=sz00|X4=sz10)|skolem0001(X4)!=X4))))&((~aNaturalNumber0(X4)|(~aNaturalNumber0(X5)|xk!=sdtasdt0(X4,X5)))|~isPrime0(X4)))&((((((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|aNaturalNumber0(skolem0001(X4))))&(((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|aNaturalNumber0(skolem0002(X4))))&((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|X4=sdtasdt0(skolem0001(X4),skolem0002(X4))))))&((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|doDivides0(skolem0001(X4),X4))))&(((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|skolem0001(X4)!=sz10))&((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|((X4=sz00|X4=sz10)|skolem0001(X4)!=X4))))&((~aNaturalNumber0(X4)|~doDivides0(X4,xk))|~isPrime0(X4))))))))),inference(distribute,[status(thm)],[c13])).
% 0.75/0.96 cnf(c17,negated_conjecture,isPrime0(xk),inference(split_conjunct,[status(thm)],[c14])).
% 0.75/0.96 cnf(symmetry,axiom,X97!=X96|X96=X97,theory(equality)).
% 0.75/0.96 fof(m_MulUnit,axiom,(![W0]:(aNaturalNumber0(W0)=>(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m_MulUnit)).
% 0.75/0.96 fof(c180,plain,(![W0]:(~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),inference(fof_nnf,[status(thm)],[m_MulUnit])).
% 0.75/0.96 fof(c181,plain,(![X79]:(~aNaturalNumber0(X79)|(sdtasdt0(X79,sz10)=X79&X79=sdtasdt0(sz10,X79)))),inference(variable_rename,[status(thm)],[c180])).
% 0.75/0.96 fof(c182,plain,(![X79]:((~aNaturalNumber0(X79)|sdtasdt0(X79,sz10)=X79)&(~aNaturalNumber0(X79)|X79=sdtasdt0(sz10,X79)))),inference(distribute,[status(thm)],[c181])).
% 0.75/0.96 cnf(c183,plain,~aNaturalNumber0(X127)|sdtasdt0(X127,sz10)=X127,inference(split_conjunct,[status(thm)],[c182])).
% 0.75/0.96 cnf(c229,plain,sdtasdt0(xk,sz10)=xk,inference(resolution,[status(thm)],[c183, c48])).
% 0.75/0.96 cnf(c237,plain,xk=sdtasdt0(xk,sz10),inference(resolution,[status(thm)],[c229, symmetry])).
% 0.75/0.96 cnf(c24,negated_conjecture,~aNaturalNumber0(X171)|~aNaturalNumber0(X170)|xk!=sdtasdt0(X171,X170)|~isPrime0(X171),inference(split_conjunct,[status(thm)],[c14])).
% 0.75/0.96 cnf(c583,plain,~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)|~isPrime0(xk),inference(resolution,[status(thm)],[c24, c237])).
% 0.75/0.96 cnf(c1268,plain,~aNaturalNumber0(xk)|~aNaturalNumber0(sz10),inference(resolution,[status(thm)],[c583, c17])).
% 0.75/0.96 cnf(c1269,plain,~aNaturalNumber0(xk),inference(resolution,[status(thm)],[c1268, c208])).
% 0.75/0.96 cnf(c1270,plain,$false,inference(resolution,[status(thm)],[c1269, c48])).
% 0.75/0.96 % SZS output end CNFRefutation
% 0.75/0.96
% 0.75/0.96 % Initial clauses : 108
% 0.75/0.96 % Processed clauses : 168
% 0.75/0.96 % Factors computed : 7
% 0.75/0.96 % Resolvents computed: 1051
% 0.75/0.96 % Tautologies deleted: 4
% 0.75/0.96 % Forward subsumed : 56
% 0.75/0.96 % Backward subsumed : 6
% 0.75/0.96 % -------- CPU Time ---------
% 0.75/0.96 % User time : 0.558 s
% 0.75/0.96 % System time : 0.019 s
% 0.75/0.96 % Total time : 0.577 s
%------------------------------------------------------------------------------