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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG125+1 : TPTP v8.1.2. 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  : 300s
% DateTime : Thu May  9 17:38:25 EDT 2024

% Result   : Theorem 247.08s 247.33s
% Output   : Refutation 247.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n020.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 : Wed May  8 21:10:53 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 247.08/247.33  % Version:  1.5
% 247.08/247.33  % SZS status Theorem
% 247.08/247.33  % SZS output start CNFRefutation
% 247.08/247.33  fof(m__2383,plain,(~(aDivisorOf0(xu,xa)&aDivisorOf0(xu,xb))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2383)).
% 247.08/247.33  fof(c30,plain,(~aDivisorOf0(xu,xa)|~aDivisorOf0(xu,xb)),inference(fof_nnf,[status(thm)],[m__2383])).
% 247.08/247.33  cnf(c31,plain,~aDivisorOf0(xu,xa)|~aDivisorOf0(xu,xb),inference(split_conjunct,[status(thm)],[c30])).
% 247.08/247.33  fof(m__2091,plain,(aElement0(xa)&aElement0(xb)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2091)).
% 247.08/247.33  cnf(c52,plain,aElement0(xb),inference(split_conjunct,[status(thm)],[m__2091])).
% 247.08/247.33  fof(m__2174,plain,(aIdeal0(xI)&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2174)).
% 247.08/247.33  cnf(c47,plain,aIdeal0(xI),inference(split_conjunct,[status(thm)],[m__2174])).
% 247.08/247.33  fof(mDefIdeal,plain,(![W0]:(aIdeal0(W0)<=>(aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>((![W2]:(aElementOf0(W2,W0)=>aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(aElement0(W2)=>aElementOf0(sdtasdt0(W2,W1),W0))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefIdeal)).
% 247.08/247.33  fof(c139,plain,(![W0]:((~aIdeal0(W0)|(aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|((![W2]:(~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))&((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&((?[W2]:(aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]:(aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))|aIdeal0(W0)))),inference(fof_nnf,[status(thm)],[mDefIdeal])).
% 247.08/247.33  fof(c140,plain,((![W0]:(~aIdeal0(W0)|(aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|((![W2]:(~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]:((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&((?[W2]:(aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]:(aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))|aIdeal0(W0)))),inference(shift_quantors,[status(thm)],[c139])).
% 247.08/247.33  fof(c141,plain,((![X50]:(~aIdeal0(X50)|(aSet0(X50)&(![X51]:(~aElementOf0(X51,X50)|((![X52]:(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50)))&(![X53]:(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50)))))))))&(![X54]:((~aSet0(X54)|(?[X55]:(aElementOf0(X55,X54)&((?[X56]:(aElementOf0(X56,X54)&~aElementOf0(sdtpldt0(X55,X56),X54)))|(?[X57]:(aElement0(X57)&~aElementOf0(sdtasdt0(X57,X55),X54)))))))|aIdeal0(X54)))),inference(variable_rename,[status(thm)],[c140])).
% 247.08/247.33  fof(c143,plain,(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:((~aIdeal0(X50)|(aSet0(X50)&(~aElementOf0(X51,X50)|((~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50))&(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50))))))&((~aSet0(X54)|(aElementOf0(skolem0013(X54),X54)&((aElementOf0(skolem0014(X54),X54)&~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54))|(aElement0(skolem0015(X54))&~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))))|aIdeal0(X54)))))))),inference(shift_quantors,[status(thm)],[fof(c142,plain,((![X50]:(~aIdeal0(X50)|(aSet0(X50)&(![X51]:(~aElementOf0(X51,X50)|((![X52]:(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50)))&(![X53]:(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50)))))))))&(![X54]:((~aSet0(X54)|(aElementOf0(skolem0013(X54),X54)&((aElementOf0(skolem0014(X54),X54)&~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54))|(aElement0(skolem0015(X54))&~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))))|aIdeal0(X54)))),inference(skolemize,[status(esa)],[c141])).])).
% 247.08/247.33  fof(c144,plain,(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:(((~aIdeal0(X50)|aSet0(X50))&((~aIdeal0(X50)|(~aElementOf0(X51,X50)|(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50))))&(~aIdeal0(X50)|(~aElementOf0(X51,X50)|(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50))))))&(((~aSet0(X54)|aElementOf0(skolem0013(X54),X54))|aIdeal0(X54))&((((~aSet0(X54)|(aElementOf0(skolem0014(X54),X54)|aElement0(skolem0015(X54))))|aIdeal0(X54))&((~aSet0(X54)|(aElementOf0(skolem0014(X54),X54)|~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))|aIdeal0(X54)))&(((~aSet0(X54)|(~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54)|aElement0(skolem0015(X54))))|aIdeal0(X54))&((~aSet0(X54)|(~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54)|~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))|aIdeal0(X54))))))))))),inference(distribute,[status(thm)],[c143])).
% 247.08/247.33  cnf(c145,plain,~aIdeal0(X118)|aSet0(X118),inference(split_conjunct,[status(thm)],[c144])).
% 247.08/247.33  cnf(c257,plain,aSet0(xI),inference(resolution,[status(thm)],[c145, c47])).
% 247.08/247.33  fof(m__2273,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((aElementOf0(W0,xI)&W0!=sz00)=>(~iLess0(sbrdtbr0(W0),sbrdtbr0(xu)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2273)).
% 247.08/247.33  fof(c32,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((aElementOf0(W0,xI)&W0!=sz00)=>~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),inference(fof_simplification,[status(thm)],[m__2273])).
% 247.08/247.33  fof(c33,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((~aElementOf0(W0,xI)|W0=sz00)|~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),inference(fof_nnf,[status(thm)],[c32])).
% 247.08/247.33  fof(c35,plain,(![X4]:((aElementOf0(xu,xI)&xu!=sz00)&((~aElementOf0(X4,xI)|X4=sz00)|~iLess0(sbrdtbr0(X4),sbrdtbr0(xu))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![X4]:((~aElementOf0(X4,xI)|X4=sz00)|~iLess0(sbrdtbr0(X4),sbrdtbr0(xu))))),inference(variable_rename,[status(thm)],[c33])).])).
% 247.08/247.33  cnf(c36,plain,aElementOf0(xu,xI),inference(split_conjunct,[status(thm)],[c35])).
% 247.08/247.33  fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mEOfElem)).
% 247.08/247.33  fof(c189,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,[status(thm)],[mEOfElem])).
% 247.08/247.33  fof(c191,plain,(![X84]:(![X85]:(~aSet0(X84)|(~aElementOf0(X85,X84)|aElement0(X85))))),inference(shift_quantors,[status(thm)],[fof(c190,plain,(![X84]:(~aSet0(X84)|(![X85]:(~aElementOf0(X85,X84)|aElement0(X85))))),inference(variable_rename,[status(thm)],[c189])).])).
% 247.08/247.33  cnf(c192,plain,~aSet0(X173)|~aElementOf0(X174,X173)|aElement0(X174),inference(split_conjunct,[status(thm)],[c191])).
% 247.08/247.33  cnf(c329,plain,~aSet0(xI)|aElement0(xu),inference(resolution,[status(thm)],[c192, c36])).
% 247.08/247.33  cnf(c331,plain,aElement0(xu),inference(resolution,[status(thm)],[c329, c257])).
% 247.08/247.33  fof(m__2612,plain,(~(~doDivides0(xu,xb))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2612)).
% 247.08/247.33  fof(c21,plain,doDivides0(xu,xb),inference(fof_simplification,[status(thm)],[m__2612])).
% 247.08/247.33  cnf(c22,plain,doDivides0(xu,xb),inference(split_conjunct,[status(thm)],[c21])).
% 247.08/247.33  fof(mDefDvs,plain,(![W0]:(aElement0(W0)=>(![W1]:(aDivisorOf0(W1,W0)<=>(aElement0(W1)&doDivides0(W1,W0)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefDvs)).
% 247.08/247.33  fof(c86,plain,(![W0]:(~aElement0(W0)|(![W1]:((~aDivisorOf0(W1,W0)|(aElement0(W1)&doDivides0(W1,W0)))&((~aElement0(W1)|~doDivides0(W1,W0))|aDivisorOf0(W1,W0)))))),inference(fof_nnf,[status(thm)],[mDefDvs])).
% 247.08/247.33  fof(c87,plain,(![W0]:(~aElement0(W0)|((![W1]:(~aDivisorOf0(W1,W0)|(aElement0(W1)&doDivides0(W1,W0))))&(![W1]:((~aElement0(W1)|~doDivides0(W1,W0))|aDivisorOf0(W1,W0)))))),inference(shift_quantors,[status(thm)],[c86])).
% 247.08/247.33  fof(c89,plain,(![X25]:(![X26]:(![X27]:(~aElement0(X25)|((~aDivisorOf0(X26,X25)|(aElement0(X26)&doDivides0(X26,X25)))&((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25))))))),inference(shift_quantors,[status(thm)],[fof(c88,plain,(![X25]:(~aElement0(X25)|((![X26]:(~aDivisorOf0(X26,X25)|(aElement0(X26)&doDivides0(X26,X25))))&(![X27]:((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25)))))),inference(variable_rename,[status(thm)],[c87])).])).
% 247.08/247.33  fof(c90,plain,(![X25]:(![X26]:(![X27]:(((~aElement0(X25)|(~aDivisorOf0(X26,X25)|aElement0(X26)))&(~aElement0(X25)|(~aDivisorOf0(X26,X25)|doDivides0(X26,X25))))&(~aElement0(X25)|((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25))))))),inference(distribute,[status(thm)],[c89])).
% 247.08/247.33  cnf(c93,plain,~aElement0(X247)|~aElement0(X248)|~doDivides0(X248,X247)|aDivisorOf0(X248,X247),inference(split_conjunct,[status(thm)],[c90])).
% 247.08/247.33  cnf(c1275,plain,~aElement0(xb)|~aElement0(xu)|aDivisorOf0(xu,xb),inference(resolution,[status(thm)],[c93, c22])).
% 247.08/247.33  cnf(c319593,plain,~aElement0(xb)|aDivisorOf0(xu,xb),inference(resolution,[status(thm)],[c1275, c331])).
% 247.08/247.33  cnf(c319594,plain,aDivisorOf0(xu,xb),inference(resolution,[status(thm)],[c319593, c52])).
% 247.08/247.33  cnf(c319602,plain,~aDivisorOf0(xu,xa),inference(resolution,[status(thm)],[c319594, c31])).
% 247.08/247.33  cnf(c51,plain,aElement0(xa),inference(split_conjunct,[status(thm)],[m__2091])).
% 247.08/247.33  fof(m__2479,plain,(~(~doDivides0(xu,xa))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2479)).
% 247.08/247.33  fof(c23,plain,doDivides0(xu,xa),inference(fof_simplification,[status(thm)],[m__2479])).
% 247.08/247.33  cnf(c24,plain,doDivides0(xu,xa),inference(split_conjunct,[status(thm)],[c23])).
% 247.08/247.33  cnf(c1276,plain,~aElement0(xa)|~aElement0(xu)|aDivisorOf0(xu,xa),inference(resolution,[status(thm)],[c93, c24])).
% 247.08/247.33  cnf(c319603,plain,~aElement0(xa)|aDivisorOf0(xu,xa),inference(resolution,[status(thm)],[c1276, c331])).
% 247.08/247.33  cnf(c319604,plain,aDivisorOf0(xu,xa),inference(resolution,[status(thm)],[c319603, c51])).
% 247.08/247.33  cnf(c319611,plain,$false,inference(resolution,[status(thm)],[c319604, c319602])).
% 247.08/247.33  % SZS output end CNFRefutation
% 247.08/247.33  
% 247.08/247.33  % Initial clauses    : 136
% 247.08/247.33  % Processed clauses  : 3904
% 247.08/247.33  % Factors computed   : 46
% 247.08/247.33  % Resolvents computed: 319312
% 247.08/247.33  % Tautologies deleted: 8
% 247.08/247.33  % Forward subsumed   : 482
% 247.08/247.33  % Backward subsumed  : 23
% 247.08/247.33  % -------- CPU Time ---------
% 247.08/247.33  % User time          : 246.262 s
% 247.08/247.33  % System time        : 0.683 s
% 247.08/247.33  % Total time         : 246.945 s
%------------------------------------------------------------------------------