TSTP Solution File: COM023+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:17:45 EDT 2024
% Result : Theorem 11.68s 11.89s
% Output : Refutation 11.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 07:10:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 11.68/11.89 % Version: 1.5
% 11.68/11.89 % SZS status Theorem
% 11.68/11.89 % SZS output start CNFRefutation
% 11.68/11.89 fof(m__,conjecture,isConfluent0(xR),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 11.68/11.89 fof(c10,negated_conjecture,(~isConfluent0(xR)),inference(assume_negation,[status(cth)],[m__])).
% 11.68/11.89 fof(c11,negated_conjecture,~isConfluent0(xR),inference(fof_simplification,[status(thm)],[c10])).
% 11.68/11.89 cnf(c12,negated_conjecture,~isConfluent0(xR),inference(split_conjunct,[status(thm)],[c11])).
% 11.68/11.89 fof(m__656,plain,aRewritingSystem0(xR),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 11.68/11.89 cnf(c22,plain,aRewritingSystem0(xR),inference(split_conjunct,[status(thm)],[m__656])).
% 11.68/11.89 fof(mCRDef,plain,(![W0]:(aRewritingSystem0(W0)=>(isConfluent0(W0)<=>(![W1]:(![W2]:(![W3]:(((((aElement0(W1)&aElement0(W2))&aElement0(W3))&sdtmndtasgtdt0(W1,W0,W2))&sdtmndtasgtdt0(W1,W0,W3))=>(?[W4]:((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4)))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mCRDef)).
% 11.68/11.89 fof(c62,plain,(![W0]:(~aRewritingSystem0(W0)|((~isConfluent0(W0)|(![W1]:(![W2]:(![W3]:(((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~sdtmndtasgtdt0(W1,W0,W2))|~sdtmndtasgtdt0(W1,W0,W3))|(?[W4]:((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4))))))))&((?[W1]:(?[W2]:(?[W3]:(((((aElement0(W1)&aElement0(W2))&aElement0(W3))&sdtmndtasgtdt0(W1,W0,W2))&sdtmndtasgtdt0(W1,W0,W3))&(![W4]:((~aElement0(W4)|~sdtmndtasgtdt0(W2,W0,W4))|~sdtmndtasgtdt0(W3,W0,W4)))))))|isConfluent0(W0))))),inference(fof_nnf,[status(thm)],[mCRDef])).
% 11.68/11.89 fof(c63,plain,(![X29]:(~aRewritingSystem0(X29)|((~isConfluent0(X29)|(![X30]:(![X31]:(![X32]:(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|(?[X33]:((aElement0(X33)&sdtmndtasgtdt0(X31,X29,X33))&sdtmndtasgtdt0(X32,X29,X33))))))))&((?[X34]:(?[X35]:(?[X36]:(((((aElement0(X34)&aElement0(X35))&aElement0(X36))&sdtmndtasgtdt0(X34,X29,X35))&sdtmndtasgtdt0(X34,X29,X36))&(![X37]:((~aElement0(X37)|~sdtmndtasgtdt0(X35,X29,X37))|~sdtmndtasgtdt0(X36,X29,X37)))))))|isConfluent0(X29))))),inference(variable_rename,[status(thm)],[c62])).
% 11.68/11.89 fof(c65,plain,(![X29]:(![X30]:(![X31]:(![X32]:(![X37]:(~aRewritingSystem0(X29)|((~isConfluent0(X29)|(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|((aElement0(skolem0010(X29,X30,X31,X32))&sdtmndtasgtdt0(X31,X29,skolem0010(X29,X30,X31,X32)))&sdtmndtasgtdt0(X32,X29,skolem0010(X29,X30,X31,X32)))))&((((((aElement0(skolem0011(X29))&aElement0(skolem0012(X29)))&aElement0(skolem0013(X29)))&sdtmndtasgtdt0(skolem0011(X29),X29,skolem0012(X29)))&sdtmndtasgtdt0(skolem0011(X29),X29,skolem0013(X29)))&((~aElement0(X37)|~sdtmndtasgtdt0(skolem0012(X29),X29,X37))|~sdtmndtasgtdt0(skolem0013(X29),X29,X37)))|isConfluent0(X29))))))))),inference(shift_quantors,[status(thm)],[fof(c64,plain,(![X29]:(~aRewritingSystem0(X29)|((~isConfluent0(X29)|(![X30]:(![X31]:(![X32]:(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|((aElement0(skolem0010(X29,X30,X31,X32))&sdtmndtasgtdt0(X31,X29,skolem0010(X29,X30,X31,X32)))&sdtmndtasgtdt0(X32,X29,skolem0010(X29,X30,X31,X32))))))))&((((((aElement0(skolem0011(X29))&aElement0(skolem0012(X29)))&aElement0(skolem0013(X29)))&sdtmndtasgtdt0(skolem0011(X29),X29,skolem0012(X29)))&sdtmndtasgtdt0(skolem0011(X29),X29,skolem0013(X29)))&(![X37]:((~aElement0(X37)|~sdtmndtasgtdt0(skolem0012(X29),X29,X37))|~sdtmndtasgtdt0(skolem0013(X29),X29,X37))))|isConfluent0(X29))))),inference(skolemize,[status(esa)],[c63])).])).
% 11.68/11.89 fof(c66,plain,(![X29]:(![X30]:(![X31]:(![X32]:(![X37]:((((~aRewritingSystem0(X29)|(~isConfluent0(X29)|(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|aElement0(skolem0010(X29,X30,X31,X32)))))&(~aRewritingSystem0(X29)|(~isConfluent0(X29)|(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|sdtmndtasgtdt0(X31,X29,skolem0010(X29,X30,X31,X32))))))&(~aRewritingSystem0(X29)|(~isConfluent0(X29)|(((((~aElement0(X30)|~aElement0(X31))|~aElement0(X32))|~sdtmndtasgtdt0(X30,X29,X31))|~sdtmndtasgtdt0(X30,X29,X32))|sdtmndtasgtdt0(X32,X29,skolem0010(X29,X30,X31,X32))))))&((((((~aRewritingSystem0(X29)|(aElement0(skolem0011(X29))|isConfluent0(X29)))&(~aRewritingSystem0(X29)|(aElement0(skolem0012(X29))|isConfluent0(X29))))&(~aRewritingSystem0(X29)|(aElement0(skolem0013(X29))|isConfluent0(X29))))&(~aRewritingSystem0(X29)|(sdtmndtasgtdt0(skolem0011(X29),X29,skolem0012(X29))|isConfluent0(X29))))&(~aRewritingSystem0(X29)|(sdtmndtasgtdt0(skolem0011(X29),X29,skolem0013(X29))|isConfluent0(X29))))&(~aRewritingSystem0(X29)|(((~aElement0(X37)|~sdtmndtasgtdt0(skolem0012(X29),X29,X37))|~sdtmndtasgtdt0(skolem0013(X29),X29,X37))|isConfluent0(X29)))))))))),inference(distribute,[status(thm)],[c65])).
% 11.68/11.89 cnf(c70,plain,~aRewritingSystem0(X109)|aElement0(skolem0011(X109))|isConfluent0(X109),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c123,plain,aElement0(skolem0011(xR))|isConfluent0(xR),inference(resolution,[status(thm)],[c70, c22])).
% 11.68/11.89 cnf(c124,plain,aElement0(skolem0011(xR)),inference(resolution,[status(thm)],[c123, c12])).
% 11.68/11.89 cnf(c72,plain,~aRewritingSystem0(X117)|aElement0(skolem0013(X117))|isConfluent0(X117),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c127,plain,aElement0(skolem0013(xR))|isConfluent0(xR),inference(resolution,[status(thm)],[c72, c22])).
% 11.68/11.89 cnf(c128,plain,aElement0(skolem0013(xR)),inference(resolution,[status(thm)],[c127, c12])).
% 11.68/11.89 cnf(c71,plain,~aRewritingSystem0(X116)|aElement0(skolem0012(X116))|isConfluent0(X116),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c125,plain,aElement0(skolem0012(xR))|isConfluent0(xR),inference(resolution,[status(thm)],[c71, c22])).
% 11.68/11.89 cnf(c126,plain,aElement0(skolem0012(xR)),inference(resolution,[status(thm)],[c125, c12])).
% 11.68/11.89 cnf(c74,plain,~aRewritingSystem0(X135)|sdtmndtasgtdt0(skolem0011(X135),X135,skolem0013(X135))|isConfluent0(X135),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c135,plain,sdtmndtasgtdt0(skolem0011(xR),xR,skolem0013(xR))|isConfluent0(xR),inference(resolution,[status(thm)],[c74, c22])).
% 11.68/11.89 cnf(c153,plain,sdtmndtasgtdt0(skolem0011(xR),xR,skolem0013(xR)),inference(resolution,[status(thm)],[c135, c12])).
% 11.68/11.89 fof(m__715,plain,(![W0]:(![W1]:(![W2]:(((((aElement0(W0)&aElement0(W1))&aElement0(W2))&sdtmndtasgtdt0(W0,xR,W1))&sdtmndtasgtdt0(W0,xR,W2))=>(?[W3]:((aElement0(W3)&sdtmndtasgtdt0(W1,xR,W3))&sdtmndtasgtdt0(W2,xR,W3))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__715)).
% 11.68/11.89 fof(c13,plain,(![W0]:(![W1]:(![W2]:(((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2))|(?[W3]:((aElement0(W3)&sdtmndtasgtdt0(W1,xR,W3))&sdtmndtasgtdt0(W2,xR,W3))))))),inference(fof_nnf,[status(thm)],[m__715])).
% 11.68/11.89 fof(c14,plain,(![X2]:(![X3]:(![X4]:(((((~aElement0(X2)|~aElement0(X3))|~aElement0(X4))|~sdtmndtasgtdt0(X2,xR,X3))|~sdtmndtasgtdt0(X2,xR,X4))|(?[X5]:((aElement0(X5)&sdtmndtasgtdt0(X3,xR,X5))&sdtmndtasgtdt0(X4,xR,X5))))))),inference(variable_rename,[status(thm)],[c13])).
% 11.68/11.89 fof(c15,plain,(![X2]:(![X3]:(![X4]:(((((~aElement0(X2)|~aElement0(X3))|~aElement0(X4))|~sdtmndtasgtdt0(X2,xR,X3))|~sdtmndtasgtdt0(X2,xR,X4))|((aElement0(skolem0001(X2,X3,X4))&sdtmndtasgtdt0(X3,xR,skolem0001(X2,X3,X4)))&sdtmndtasgtdt0(X4,xR,skolem0001(X2,X3,X4))))))),inference(skolemize,[status(esa)],[c14])).
% 11.68/11.89 fof(c16,plain,(![X2]:(![X3]:(![X4]:(((((((~aElement0(X2)|~aElement0(X3))|~aElement0(X4))|~sdtmndtasgtdt0(X2,xR,X3))|~sdtmndtasgtdt0(X2,xR,X4))|aElement0(skolem0001(X2,X3,X4)))&(((((~aElement0(X2)|~aElement0(X3))|~aElement0(X4))|~sdtmndtasgtdt0(X2,xR,X3))|~sdtmndtasgtdt0(X2,xR,X4))|sdtmndtasgtdt0(X3,xR,skolem0001(X2,X3,X4))))&(((((~aElement0(X2)|~aElement0(X3))|~aElement0(X4))|~sdtmndtasgtdt0(X2,xR,X3))|~sdtmndtasgtdt0(X2,xR,X4))|sdtmndtasgtdt0(X4,xR,skolem0001(X2,X3,X4))))))),inference(distribute,[status(thm)],[c15])).
% 11.68/11.89 cnf(c17,plain,~aElement0(X118)|~aElement0(X120)|~aElement0(X119)|~sdtmndtasgtdt0(X118,xR,X120)|~sdtmndtasgtdt0(X118,xR,X119)|aElement0(skolem0001(X118,X120,X119)),inference(split_conjunct,[status(thm)],[c16])).
% 11.68/11.89 cnf(c73,plain,~aRewritingSystem0(X134)|sdtmndtasgtdt0(skolem0011(X134),X134,skolem0012(X134))|isConfluent0(X134),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c134,plain,sdtmndtasgtdt0(skolem0011(xR),xR,skolem0012(xR))|isConfluent0(xR),inference(resolution,[status(thm)],[c73, c22])).
% 11.68/11.89 cnf(c141,plain,sdtmndtasgtdt0(skolem0011(xR),xR,skolem0012(xR)),inference(resolution,[status(thm)],[c134, c12])).
% 11.68/11.89 cnf(c148,plain,~aElement0(skolem0011(xR))|~aElement0(X320)|~aElement0(skolem0012(xR))|~sdtmndtasgtdt0(skolem0011(xR),xR,X320)|aElement0(skolem0001(skolem0011(xR),X320,skolem0012(xR))),inference(resolution,[status(thm)],[c141, c17])).
% 11.68/11.89 cnf(c426,plain,~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|~aElement0(skolem0012(xR))|aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c148, c153])).
% 11.68/11.89 cnf(c866,plain,~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c426, c126])).
% 11.68/11.89 cnf(c867,plain,~aElement0(skolem0011(xR))|aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c866, c128])).
% 11.68/11.89 cnf(c868,plain,aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c867, c124])).
% 11.68/11.89 cnf(c19,plain,~aElement0(X139)|~aElement0(X141)|~aElement0(X140)|~sdtmndtasgtdt0(X139,xR,X141)|~sdtmndtasgtdt0(X139,xR,X140)|sdtmndtasgtdt0(X140,xR,skolem0001(X139,X141,X140)),inference(split_conjunct,[status(thm)],[c16])).
% 11.68/11.89 cnf(c147,plain,~aElement0(skolem0011(xR))|~aElement0(X316)|~aElement0(skolem0012(xR))|~sdtmndtasgtdt0(skolem0011(xR),xR,X316)|sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),X316,skolem0012(xR))),inference(resolution,[status(thm)],[c141, c19])).
% 11.68/11.89 cnf(c418,plain,~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|~aElement0(skolem0012(xR))|sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c147, c153])).
% 11.68/11.89 cnf(c2167,plain,~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c418, c126])).
% 11.68/11.89 cnf(c2168,plain,~aElement0(skolem0011(xR))|sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2167, c128])).
% 11.68/11.89 cnf(c2169,plain,sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2168, c124])).
% 11.68/11.89 cnf(c75,plain,~aRewritingSystem0(X198)|~aElement0(X197)|~sdtmndtasgtdt0(skolem0012(X198),X198,X197)|~sdtmndtasgtdt0(skolem0013(X198),X198,X197)|isConfluent0(X198),inference(split_conjunct,[status(thm)],[c66])).
% 11.68/11.89 cnf(c18,plain,~aElement0(X129)|~aElement0(X131)|~aElement0(X130)|~sdtmndtasgtdt0(X129,xR,X131)|~sdtmndtasgtdt0(X129,xR,X130)|sdtmndtasgtdt0(X131,xR,skolem0001(X129,X131,X130)),inference(split_conjunct,[status(thm)],[c16])).
% 11.68/11.89 cnf(c138,plain,isConfluent0(xR)|~aElement0(skolem0011(xR))|~aElement0(X285)|~aElement0(skolem0012(xR))|~sdtmndtasgtdt0(skolem0011(xR),xR,X285)|sdtmndtasgtdt0(X285,xR,skolem0001(skolem0011(xR),X285,skolem0012(xR))),inference(resolution,[status(thm)],[c134, c18])).
% 11.68/11.89 cnf(c374,plain,isConfluent0(xR)|~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|~aElement0(skolem0012(xR))|sdtmndtasgtdt0(skolem0013(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c138, c153])).
% 11.68/11.89 cnf(c2117,plain,isConfluent0(xR)|~aElement0(skolem0011(xR))|~aElement0(skolem0013(xR))|sdtmndtasgtdt0(skolem0013(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c374, c126])).
% 11.68/11.89 cnf(c2118,plain,isConfluent0(xR)|~aElement0(skolem0011(xR))|sdtmndtasgtdt0(skolem0013(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2117, c128])).
% 11.68/11.89 cnf(c2119,plain,isConfluent0(xR)|sdtmndtasgtdt0(skolem0013(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2118, c124])).
% 11.68/11.89 cnf(c2140,plain,isConfluent0(xR)|~aRewritingSystem0(xR)|~aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR)))|~sdtmndtasgtdt0(skolem0012(xR),xR,skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2119, c75])).
% 11.68/11.89 cnf(c6808,plain,isConfluent0(xR)|~aRewritingSystem0(xR)|~aElement0(skolem0001(skolem0011(xR),skolem0013(xR),skolem0012(xR))),inference(resolution,[status(thm)],[c2140, c2169])).
% 11.68/11.89 cnf(c6809,plain,isConfluent0(xR)|~aRewritingSystem0(xR),inference(resolution,[status(thm)],[c6808, c868])).
% 11.68/11.89 cnf(c6810,plain,isConfluent0(xR),inference(resolution,[status(thm)],[c6809, c22])).
% 11.68/11.89 cnf(c6811,plain,$false,inference(resolution,[status(thm)],[c6810, c12])).
% 11.68/11.89 % SZS output end CNFRefutation
% 11.68/11.89
% 11.68/11.89 % Initial clauses : 63
% 11.68/11.89 % Processed clauses : 1850
% 11.68/11.89 % Factors computed : 69
% 11.68/11.89 % Resolvents computed: 6633
% 11.68/11.89 % Tautologies deleted: 48
% 11.68/11.89 % Forward subsumed : 836
% 11.68/11.89 % Backward subsumed : 597
% 11.68/11.89 % -------- CPU Time ---------
% 11.68/11.89 % User time : 11.471 s
% 11.68/11.89 % System time : 0.042 s
% 11.68/11.89 % Total time : 11.513 s
%------------------------------------------------------------------------------