TSTP Solution File: COM016+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COM016+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 17:17:43 EDT 2024

% Result   : Theorem 10.52s 10.75s
% Output   : Refutation 10.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  9 07:11:08 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 10.52/10.75  % Version:  1.5
% 10.52/10.75  % SZS status Theorem
% 10.52/10.75  % SZS output start CNFRefutation
% 10.52/10.75  fof(m__731,plain,((aElement0(xa)&aElement0(xb))&aElement0(xc)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__731)).
% 10.52/10.75  cnf(c24,plain,aElement0(xb),inference(split_conjunct,[status(thm)],[m__731])).
% 10.52/10.75  fof(m__,conjecture,(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtasgtdt0(W0,xR,xb))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 10.52/10.75  fof(c10,negated_conjecture,(~(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtasgtdt0(W0,xR,xb)))),inference(assume_negation,[status(cth)],[m__])).
% 10.52/10.75  fof(c11,negated_conjecture,(![W0]:((~aElement0(W0)|~aReductOfIn0(W0,xa,xR))|~sdtmndtasgtdt0(W0,xR,xb))),inference(fof_nnf,[status(thm)],[c10])).
% 10.52/10.75  fof(c12,negated_conjecture,(![X2]:((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|~sdtmndtasgtdt0(X2,xR,xb))),inference(variable_rename,[status(thm)],[c11])).
% 10.52/10.75  cnf(c13,negated_conjecture,~aElement0(X127)|~aReductOfIn0(X127,xa,xR)|~sdtmndtasgtdt0(X127,xR,xb),inference(split_conjunct,[status(thm)],[c12])).
% 10.52/10.75  fof(m__656,plain,aRewritingSystem0(xR),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 10.52/10.75  cnf(c28,plain,aRewritingSystem0(xR),inference(split_conjunct,[status(thm)],[m__656])).
% 10.52/10.75  cnf(reflexivity,axiom,X58=X58,theory(equality)).
% 10.52/10.75  fof(mTCRDef,plain,(![W0]:(![W1]:(![W2]:(((aElement0(W0)&aRewritingSystem0(W1))&aElement0(W2))=>(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRDef)).
% 10.52/10.75  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])).
% 10.52/10.75  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])).
% 10.52/10.75  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])).
% 10.52/10.75  cnf(c89,plain,~aElement0(X165)|~aRewritingSystem0(X164)|~aElement0(X163)|X165!=X163|sdtmndtasgtdt0(X165,X164,X163),inference(split_conjunct,[status(thm)],[c87])).
% 10.52/10.75  cnf(c185,plain,~aElement0(X167)|~aRewritingSystem0(X166)|sdtmndtasgtdt0(X167,X166,X167),inference(resolution,[status(thm)],[c89, reflexivity])).
% 10.52/10.75  cnf(c186,plain,~aElement0(X168)|sdtmndtasgtdt0(X168,xR,X168),inference(resolution,[status(thm)],[c185, c28])).
% 10.52/10.75  cnf(c189,plain,sdtmndtasgtdt0(xb,xR,xb),inference(resolution,[status(thm)],[c186, c24])).
% 10.52/10.75  cnf(c200,plain,~aElement0(xb)|~aReductOfIn0(xb,xa,xR),inference(resolution,[status(thm)],[c189, c13])).
% 10.52/10.75  cnf(c23,plain,aElement0(xa),inference(split_conjunct,[status(thm)],[m__731])).
% 10.52/10.75  fof(m__731_02,plain,(sdtmndtplgtdt0(xa,xR,xb)&sdtmndtplgtdt0(xa,xR,xc)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__731_02)).
% 10.52/10.75  cnf(c14,plain,sdtmndtplgtdt0(xa,xR,xb),inference(split_conjunct,[status(thm)],[m__731_02])).
% 10.52/10.75  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))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCDef)).
% 10.52/10.75  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])).
% 10.52/10.75  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])).
% 10.52/10.75  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])).])).
% 10.52/10.75  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])).
% 10.52/10.75  cnf(c99,plain,~aElement0(X253)|~aRewritingSystem0(X255)|~aElement0(X254)|~sdtmndtplgtdt0(X253,X255,X254)|aReductOfIn0(X254,X253,X255)|aElement0(skolem0014(X253,X255,X254)),inference(split_conjunct,[status(thm)],[c98])).
% 10.52/10.75  cnf(c369,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c99, c14])).
% 10.52/10.75  cnf(c2915,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c369, c24])).
% 10.52/10.75  cnf(c2926,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c2915, c28])).
% 10.52/10.75  cnf(c2927,plain,aReductOfIn0(xb,xa,xR)|aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c2926, c23])).
% 10.52/10.75  cnf(c2936,plain,aElement0(skolem0014(xa,xR,xb))|~aElement0(xb),inference(resolution,[status(thm)],[c2927, c200])).
% 10.52/10.75  cnf(c2940,plain,aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c2936, c24])).
% 10.52/10.75  cnf(c100,plain,~aElement0(X256)|~aRewritingSystem0(X258)|~aElement0(X257)|~sdtmndtplgtdt0(X256,X258,X257)|aReductOfIn0(X257,X256,X258)|aReductOfIn0(skolem0014(X256,X258,X257),X256,X258),inference(split_conjunct,[status(thm)],[c98])).
% 10.52/10.75  cnf(c385,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c100, c14])).
% 10.52/10.75  cnf(c4595,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c385, c24])).
% 10.52/10.75  cnf(c5336,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c4595, c28])).
% 10.52/10.75  cnf(c5337,plain,aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c5336, c23])).
% 10.52/10.75  cnf(c5346,plain,aReductOfIn0(skolem0014(xa,xR,xb),xa,xR)|~aElement0(xb),inference(resolution,[status(thm)],[c5337, c200])).
% 10.52/10.75  cnf(c5358,plain,aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c5346, c24])).
% 10.52/10.75  cnf(c90,plain,~aElement0(X179)|~aRewritingSystem0(X178)|~aElement0(X177)|~sdtmndtplgtdt0(X179,X178,X177)|sdtmndtasgtdt0(X179,X178,X177),inference(split_conjunct,[status(thm)],[c87])).
% 10.52/10.75  cnf(c101,plain,~aElement0(X262)|~aRewritingSystem0(X264)|~aElement0(X263)|~sdtmndtplgtdt0(X262,X264,X263)|aReductOfIn0(X263,X262,X264)|sdtmndtplgtdt0(skolem0014(X262,X264,X263),X264,X263),inference(split_conjunct,[status(thm)],[c98])).
% 10.52/10.75  cnf(c401,plain,~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c101, c14])).
% 10.52/10.75  cnf(c4889,plain,~aElement0(xa)|~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c401, c24])).
% 10.52/10.75  cnf(c5645,plain,~aElement0(xa)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c4889, c28])).
% 10.52/10.75  cnf(c5646,plain,aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c5645, c23])).
% 10.52/10.75  cnf(c5655,plain,sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb)|~aElement0(xb),inference(resolution,[status(thm)],[c5646, c200])).
% 10.52/10.75  cnf(c5666,plain,sdtmndtplgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c5655, c24])).
% 10.52/10.75  cnf(c5670,plain,~aElement0(skolem0014(xa,xR,xb))|~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c5666, c90])).
% 10.52/10.75  cnf(c12638,plain,~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c5670, c2940])).
% 10.52/10.75  cnf(c12639,plain,~aRewritingSystem0(xR)|sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c12638, c24])).
% 10.52/10.75  cnf(c12640,plain,sdtmndtasgtdt0(skolem0014(xa,xR,xb),xR,xb),inference(resolution,[status(thm)],[c12639, c28])).
% 10.52/10.75  cnf(c12646,plain,~aElement0(skolem0014(xa,xR,xb))|~aReductOfIn0(skolem0014(xa,xR,xb),xa,xR),inference(resolution,[status(thm)],[c12640, c13])).
% 10.52/10.75  cnf(c12658,plain,~aElement0(skolem0014(xa,xR,xb)),inference(resolution,[status(thm)],[c12646, c5358])).
% 10.52/10.75  cnf(c12659,plain,$false,inference(resolution,[status(thm)],[c12658, c2940])).
% 10.52/10.75  % SZS output end CNFRefutation
% 10.52/10.75  
% 10.52/10.75  % Initial clauses    : 68
% 10.52/10.75  % Processed clauses  : 1771
% 10.52/10.75  % Factors computed   : 52
% 10.52/10.75  % Resolvents computed: 12492
% 10.52/10.75  % Tautologies deleted: 79
% 10.52/10.75  % Forward subsumed   : 412
% 10.52/10.75  % Backward subsumed  : 547
% 10.52/10.75  % -------- CPU Time ---------
% 10.52/10.75  % User time          : 10.316 s
% 10.52/10.75  % System time        : 0.058 s
% 10.52/10.75  % Total time         : 10.374 s
%------------------------------------------------------------------------------