TSTP Solution File: COM016+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : Fri Jul 15 01:39:09 EDT 2022
% Result : Theorem 11.30s 11.47s
% Output : Refutation 11.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Thu Jun 16 19:11:39 EDT 2022
% 0.16/0.37 % CPUTime :
% 11.30/11.47 # Version: 1.3
% 11.30/11.47 # SZS status Theorem
% 11.30/11.47 # SZS output start CNFRefutation
% 11.30/11.47 fof(m__731,plain,((aElement0(xa)&aElement0(xb))&aElement0(xc)),input).
% 11.30/11.47 cnf(c24,plain,aElement0(xb),inference(split_conjunct,status(thm),[m__731])).
% 11.30/11.47 fof(m__,conjecture,(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtasgtdt0(W0,xR,xb))),input).
% 11.30/11.47 fof(c10,negated_conjecture,(~(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtasgtdt0(W0,xR,xb)))),inference(assume_negation,status(cth),[m__])).
% 11.30/11.47 fof(c11,negated_conjecture,(![W0]:((~aElement0(W0)|~aReductOfIn0(W0,xa,xR))|~sdtmndtasgtdt0(W0,xR,xb))),inference(fof_nnf,status(thm),[c10])).
% 11.30/11.47 fof(c12,negated_conjecture,(![X2]:((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|~sdtmndtasgtdt0(X2,xR,xb))),inference(variable_rename,status(thm),[c11])).
% 11.30/11.47 cnf(c13,negated_conjecture,~aElement0(X127)|~aReductOfIn0(X127,xa,xR)|~sdtmndtasgtdt0(X127,xR,xb),inference(split_conjunct,status(thm),[c12])).
% 11.30/11.47 fof(m__656,plain,aRewritingSystem0(xR),input).
% 11.30/11.47 cnf(c28,plain,aRewritingSystem0(xR),inference(split_conjunct,status(thm),[m__656])).
% 11.30/11.47 cnf(reflexivity,axiom,X58=X58,eq_axiom).
% 11.30/11.47 fof(mTCRDef,plain,(![W0]:(![W1]:(![W2]:(((aElement0(W0)&aRewritingSystem0(W1))&aElement0(W2))=>(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))))),input).
% 11.30/11.47 fof(c85,plain,(![W0]:(![W1]:(![W2]:(((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&((W0!=W2&~sdtmndtplgtdt0(W0,W1,W2))|sdtmndtasgtdt0(W0,W1,W2))))))),inference(fof_nnf,status(thm),[mTCRDef])).
% 11.30/11.47 fof(c86,plain,(![X43]:(![X44]:(![X45]:(((~aElement0(X43)|~aRewritingSystem0(X44))|~aElement0(X45))|((~sdtmndtasgtdt0(X43,X44,X45)|(X43=X45|sdtmndtplgtdt0(X43,X44,X45)))&((X43!=X45&~sdtmndtplgtdt0(X43,X44,X45))|sdtmndtasgtdt0(X43,X44,X45))))))),inference(variable_rename,status(thm),[c85])).
% 11.30/11.47 fof(c87,plain,(![X43]:(![X44]:(![X45]:((((~aElement0(X43)|~aRewritingSystem0(X44))|~aElement0(X45))|(~sdtmndtasgtdt0(X43,X44,X45)|(X43=X45|sdtmndtplgtdt0(X43,X44,X45))))&((((~aElement0(X43)|~aRewritingSystem0(X44))|~aElement0(X45))|(X43!=X45|sdtmndtasgtdt0(X43,X44,X45)))&(((~aElement0(X43)|~aRewritingSystem0(X44))|~aElement0(X45))|(~sdtmndtplgtdt0(X43,X44,X45)|sdtmndtasgtdt0(X43,X44,X45)))))))),inference(distribute,status(thm),[c86])).
% 11.30/11.47 cnf(c89,plain,~aElement0(X158)|~aRewritingSystem0(X159)|~aElement0(X160)|X158!=X160|sdtmndtasgtdt0(X158,X159,X160),inference(split_conjunct,status(thm),[c87])).
% 11.30/11.47 cnf(c180,plain,~aElement0(X166)|~aRewritingSystem0(X165)|sdtmndtasgtdt0(X166,X165,X166),inference(resolution,status(thm),[c89, reflexivity])).
% 11.30/11.47 cnf(c181,plain,~aElement0(X167)|sdtmndtasgtdt0(X167,xR,X167),inference(resolution,status(thm),[c180, c28])).
% 11.30/11.47 cnf(c183,plain,sdtmndtasgtdt0(xb,xR,xb),inference(resolution,status(thm),[c181, c24])).
% 11.30/11.47 cnf(c193,plain,~aElement0(xb)|~aReductOfIn0(xb,xa,xR),inference(resolution,status(thm),[c183, c13])).
% 11.30/11.47 cnf(c23,plain,aElement0(xa),inference(split_conjunct,status(thm),[m__731])).
% 11.30/11.47 fof(m__731_02,plain,(sdtmndtplgtdt0(xa,xR,xb)&sdtmndtplgtdt0(xa,xR,xc)),input).
% 11.30/11.47 cnf(c14,plain,sdtmndtplgtdt0(xa,xR,xb),inference(split_conjunct,status(thm),[m__731_02])).
% 11.30/11.47 fof(mTCDef,plain,(![W0]:(![W1]:(![W2]:(((aElement0(W0)&aRewritingSystem0(W1))&aElement0(W2))=>(sdtmndtplgtdt0(W0,W1,W2)<=>(aReductOfIn0(W2,W0,W1)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2))))))))),input).
% 11.30/11.47 fof(c94,plain,(![W0]:(![W1]:(![W2]:(((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2)))))&((~aReductOfIn0(W2,W0,W1)&(![W3]:((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2))))|sdtmndtplgtdt0(W0,W1,W2))))))),inference(fof_nnf,status(thm),[mTCDef])).
% 11.30/11.47 fof(c95,plain,(![X50]:(![X51]:(![X52]:(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|((~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|(?[X53]:((aElement0(X53)&aReductOfIn0(X53,X50,X51))&sdtmndtplgtdt0(X53,X51,X52)))))&((~aReductOfIn0(X52,X50,X51)&(![X54]:((~aElement0(X54)|~aReductOfIn0(X54,X50,X51))|~sdtmndtplgtdt0(X54,X51,X52))))|sdtmndtplgtdt0(X50,X51,X52))))))),inference(variable_rename,status(thm),[c94])).
% 11.30/11.47 fof(c97,plain,(![X50]:(![X51]:(![X52]:(![X54]:(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|((~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|((aElement0(skolem0014(X50,X51,X52))&aReductOfIn0(skolem0014(X50,X51,X52),X50,X51))&sdtmndtplgtdt0(skolem0014(X50,X51,X52),X51,X52))))&((~aReductOfIn0(X52,X50,X51)&((~aElement0(X54)|~aReductOfIn0(X54,X50,X51))|~sdtmndtplgtdt0(X54,X51,X52)))|sdtmndtplgtdt0(X50,X51,X52)))))))),inference(shift_quantors,status(thm),[fof(c96,plain,(![X50]:(![X51]:(![X52]:(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|((~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|((aElement0(skolem0014(X50,X51,X52))&aReductOfIn0(skolem0014(X50,X51,X52),X50,X51))&sdtmndtplgtdt0(skolem0014(X50,X51,X52),X51,X52))))&((~aReductOfIn0(X52,X50,X51)&(![X54]:((~aElement0(X54)|~aReductOfIn0(X54,X50,X51))|~sdtmndtplgtdt0(X54,X51,X52))))|sdtmndtplgtdt0(X50,X51,X52))))))),inference(skolemize,status(esa),[c95])).])).
% 11.30/11.47 fof(c98,plain,(![X50]:(![X51]:(![X52]:(![X54]:((((((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|(~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|aElement0(skolem0014(X50,X51,X52)))))&(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|(~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|aReductOfIn0(skolem0014(X50,X51,X52),X50,X51)))))&(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|(~sdtmndtplgtdt0(X50,X51,X52)|(aReductOfIn0(X52,X50,X51)|sdtmndtplgtdt0(skolem0014(X50,X51,X52),X51,X52)))))&((((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|(~aReductOfIn0(X52,X50,X51)|sdtmndtplgtdt0(X50,X51,X52)))&(((~aElement0(X50)|~aRewritingSystem0(X51))|~aElement0(X52))|(((~aElement0(X54)|~aReductOfIn0(X54,X50,X51))|~sdtmndtplgtdt0(X54,X51,X52))|sdtmndtplgtdt0(X50,X51,X52))))))))),inference(distribute,status(thm),[c97])).
% 11.30/11.47 cnf(c99,plain,~aElement0(X247)|~aRewritingSystem0(X246)|~aElement0(X245)|~sdtmndtplgtdt0(X247,X246,X245)|aReductOfIn0(X245,X247,X246)|aElement0(skolem0014(X247,X246,X245)),inference(split_conjunct,status(thm),[c98])).
% 11.30/11.47 cnf(c378,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c99, c14])).
% 11.30/11.47 cnf(c834,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c378, c24])).
% 11.30/11.47 cnf(c835,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c834, c28])).
% 11.30/11.47 cnf(c837,plain,aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c835, c23])).
% 11.30/11.47 cnf(c844,plain,aElement0(skolem0014(xa,xR,xb))|~aElement0(xb),inference(resolution,status(thm),[c837, c193])).
% 11.30/11.47 cnf(c848,plain,aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c844, c24])).
% 11.30/11.47 cnf(c100,plain,~aElement0(X256)|~aRewritingSystem0(X255)|~aElement0(X254)|~sdtmndtplgtdt0(X256,X255,X254)|aReductOfIn0(X254,X256,X255)|aReductOfIn0(skolem0014(X256,X255,X254),X256,X255),inference(split_conjunct,status(thm),[c98])).
% 11.30/11.47 cnf(c383,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c100, c14])).
% 11.30/11.47 cnf(c4043,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c383, c24])).
% 11.30/11.47 cnf(c5091,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c4043, c28])).
% 11.30/11.47 cnf(c5092,plain,aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c5091, c23])).
% 11.30/11.47 cnf(c5100,plain,aReductOfIn0(skolem0014(xa,xR,xb),xa,xR)|~aElement0(xb),inference(resolution,status(thm),[c5092, c193])).
% 11.30/11.47 cnf(c5109,plain,aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c5100, c24])).
% 11.30/11.47 cnf(c90,plain,~aElement0(X176)|~aRewritingSystem0(X177)|~aElement0(X178)|~sdtmndtplgtdt0(X176,X177,X178)|sdtmndtasgtdt0(X176,X177,X178),inference(split_conjunct,status(thm),[c87])).
% 11.30/11.47 cnf(c101,plain,~aElement0(X259)|~aRewritingSystem0(X258)|~aElement0(X257)|~sdtmndtplgtdt0(X259,X258,X257)|aReductOfIn0(X257,X259,X258)|sdtmndtplgtdt0(skolem0014(X259,X258,X257),X258,X257),inference(split_conjunct,status(thm),[c98])).
% 11.30/11.47 cnf(c390,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c101, c14])).
% 11.30/11.47 cnf(c4141,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c390, c24])).
% 11.30/11.47 cnf(c5269,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c4141, c28])).
% 11.30/11.47 cnf(c5270,plain,aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c5269, c23])).
% 11.30/11.47 cnf(c5277,plain,sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb)|~aElement0(xb),inference(resolution,status(thm),[c5270, c193])).
% 11.30/11.47 cnf(c5287,plain,sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c5277, c24])).
% 11.30/11.47 cnf(c5289,plain,~aElement0(skolem0014(xa,xR,xb))|~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c5287, c90])).
% 11.30/11.47 cnf(c11216,plain,~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c5289, c848])).
% 11.30/11.47 cnf(c11217,plain,~aRewritingSystem0(xR)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c11216, c24])).
% 11.30/11.47 cnf(c11218,plain,sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,status(thm),[c11217, c28])).
% 11.30/11.47 cnf(c11222,plain,~aElement0(skolem0014(xa,xR,xb))|~aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,status(thm),[c11218, c13])).
% 11.30/11.47 cnf(c11232,plain,~aElement0(skolem0014(xa,xR,xb)),inference(resolution,status(thm),[c11222, c5109])).
% 11.30/11.47 cnf(c11234,plain,$false,inference(resolution,status(thm),[c11232, c848])).
% 11.30/11.47 # SZS output end CNFRefutation
% 11.30/11.47
% 11.30/11.47 # Initial clauses : 68
% 11.30/11.47 # Processed clauses : 1776
% 11.30/11.47 # Factors computed : 0
% 11.30/11.47 # Resolvents computed: 11119
% 11.30/11.47 # Tautologies deleted: 74
% 11.30/11.47 # Forward subsumed : 395
% 11.30/11.47 # Backward subsumed : 573
% 11.30/11.47 # -------- CPU Time ---------
% 11.30/11.47 # User time : 11.053 s
% 11.30/11.47 # System time : 0.046 s
% 11.30/11.47 # Total time : 11.099 s
%------------------------------------------------------------------------------