TSTP Solution File: COM013+4 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 1.63s 1.84s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 07:07:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 1.63/1.84 % Version: 1.5
% 1.63/1.84 % SZS status Theorem
% 1.63/1.84 % SZS output start CNFRefutation
% 1.63/1.84 fof(m__,conjecture,(![W0]:(aElement0(W0)=>((![W1]:(aElement0(W1)=>(iLess0(W1,W0)=>(?[W2]:((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(~(?[W3]:aReductOfIn0(W3,W2,xR))))&aNormalFormOfIn0(W2,W1,xR))))))=>(?[W1]:(((aElement0(W1)&((((W0=W1|aReductOfIn0(W1,W0,xR))|(?[W2]:((aElement0(W2)&aReductOfIn0(W2,W0,xR))&sdtmndtplgtdt0(W2,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))|sdtmndtasgtdt0(W0,xR,W1)))&(~(?[W2]:aReductOfIn0(W2,W1,xR))))|aNormalFormOfIn0(W1,W0,xR)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 1.63/1.84 fof(c10,negated_conjecture,(~(![W0]:(aElement0(W0)=>((![W1]:(aElement0(W1)=>(iLess0(W1,W0)=>(?[W2]:((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(~(?[W3]:aReductOfIn0(W3,W2,xR))))&aNormalFormOfIn0(W2,W1,xR))))))=>(?[W1]:(((aElement0(W1)&((((W0=W1|aReductOfIn0(W1,W0,xR))|(?[W2]:((aElement0(W2)&aReductOfIn0(W2,W0,xR))&sdtmndtplgtdt0(W2,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))|sdtmndtasgtdt0(W0,xR,W1)))&(~(?[W2]:aReductOfIn0(W2,W1,xR))))|aNormalFormOfIn0(W1,W0,xR))))))),inference(assume_negation,[status(cth)],[m__])).
% 1.63/1.84 fof(c11,negated_conjecture,(?[W0]:(aElement0(W0)&((![W1]:(~aElement0(W1)|(~iLess0(W1,W0)|(?[W2]:((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(![W3]:~aReductOfIn0(W3,W2,xR)))&aNormalFormOfIn0(W2,W1,xR))))))&(![W1]:(((~aElement0(W1)|((((W0!=W1&~aReductOfIn0(W1,W0,xR))&(![W2]:((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|(?[W2]:aReductOfIn0(W2,W1,xR)))&~aNormalFormOfIn0(W1,W0,xR)))))),inference(fof_nnf,[status(thm)],[c10])).
% 1.63/1.84 fof(c12,negated_conjecture,(?[W0]:(aElement0(W0)&((![W1]:(~aElement0(W1)|(~iLess0(W1,W0)|(?[W2]:((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]:((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(![W3]:~aReductOfIn0(W3,W2,xR)))&aNormalFormOfIn0(W2,W1,xR))))))&((![W1]:((~aElement0(W1)|((((W0!=W1&~aReductOfIn0(W1,W0,xR))&(![W2]:((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|(?[W2]:aReductOfIn0(W2,W1,xR))))&(![W1]:~aNormalFormOfIn0(W1,W0,xR)))))),inference(shift_quantors,[status(thm)],[c11])).
% 1.63/1.84 fof(c13,negated_conjecture,(?[X2]:(aElement0(X2)&((![X3]:(~aElement0(X3)|(~iLess0(X3,X2)|(?[X4]:((((aElement0(X4)&(X3=X4|((aReductOfIn0(X4,X3,xR)|(?[X5]:((aElement0(X5)&aReductOfIn0(X5,X3,xR))&sdtmndtplgtdt0(X5,xR,X4))))&sdtmndtplgtdt0(X3,xR,X4))))&sdtmndtasgtdt0(X3,xR,X4))&(![X6]:~aReductOfIn0(X6,X4,xR)))&aNormalFormOfIn0(X4,X3,xR))))))&((![X7]:((~aElement0(X7)|((((X2!=X7&~aReductOfIn0(X7,X2,xR))&(![X8]:((~aElement0(X8)|~aReductOfIn0(X8,X2,xR))|~sdtmndtplgtdt0(X8,xR,X7))))&~sdtmndtplgtdt0(X2,xR,X7))&~sdtmndtasgtdt0(X2,xR,X7)))|(?[X9]:aReductOfIn0(X9,X7,xR))))&(![X10]:~aNormalFormOfIn0(X10,X2,xR)))))),inference(variable_rename,[status(thm)],[c12])).
% 1.63/1.84 fof(c15,negated_conjecture,(![X3]:(![X6]:(![X7]:(![X8]:(![X10]:(aElement0(skolem0001)&((~aElement0(X3)|(~iLess0(X3,skolem0001)|((((aElement0(skolem0002(X3))&(X3=skolem0002(X3)|((aReductOfIn0(skolem0002(X3),X3,xR)|((aElement0(skolem0003(X3))&aReductOfIn0(skolem0003(X3),X3,xR))&sdtmndtplgtdt0(skolem0003(X3),xR,skolem0002(X3))))&sdtmndtplgtdt0(X3,xR,skolem0002(X3)))))&sdtmndtasgtdt0(X3,xR,skolem0002(X3)))&~aReductOfIn0(X6,skolem0002(X3),xR))&aNormalFormOfIn0(skolem0002(X3),X3,xR))))&(((~aElement0(X7)|((((skolem0001!=X7&~aReductOfIn0(X7,skolem0001,xR))&((~aElement0(X8)|~aReductOfIn0(X8,skolem0001,xR))|~sdtmndtplgtdt0(X8,xR,X7)))&~sdtmndtplgtdt0(skolem0001,xR,X7))&~sdtmndtasgtdt0(skolem0001,xR,X7)))|aReductOfIn0(skolem0004(X7),X7,xR))&~aNormalFormOfIn0(X10,skolem0001,xR))))))))),inference(shift_quantors,[status(thm)],[fof(c14,negated_conjecture,(aElement0(skolem0001)&((![X3]:(~aElement0(X3)|(~iLess0(X3,skolem0001)|((((aElement0(skolem0002(X3))&(X3=skolem0002(X3)|((aReductOfIn0(skolem0002(X3),X3,xR)|((aElement0(skolem0003(X3))&aReductOfIn0(skolem0003(X3),X3,xR))&sdtmndtplgtdt0(skolem0003(X3),xR,skolem0002(X3))))&sdtmndtplgtdt0(X3,xR,skolem0002(X3)))))&sdtmndtasgtdt0(X3,xR,skolem0002(X3)))&(![X6]:~aReductOfIn0(X6,skolem0002(X3),xR)))&aNormalFormOfIn0(skolem0002(X3),X3,xR)))))&((![X7]:((~aElement0(X7)|((((skolem0001!=X7&~aReductOfIn0(X7,skolem0001,xR))&(![X8]:((~aElement0(X8)|~aReductOfIn0(X8,skolem0001,xR))|~sdtmndtplgtdt0(X8,xR,X7))))&~sdtmndtplgtdt0(skolem0001,xR,X7))&~sdtmndtasgtdt0(skolem0001,xR,X7)))|aReductOfIn0(skolem0004(X7),X7,xR)))&(![X10]:~aNormalFormOfIn0(X10,skolem0001,xR))))),inference(skolemize,[status(esa)],[c13])).])).
% 1.63/1.84 fof(c16,negated_conjecture,(![X3]:(![X6]:(![X7]:(![X8]:(![X10]:(aElement0(skolem0001)&((((((~aElement0(X3)|(~iLess0(X3,skolem0001)|aElement0(skolem0002(X3))))&((((~aElement0(X3)|(~iLess0(X3,skolem0001)|(X3=skolem0002(X3)|(aReductOfIn0(skolem0002(X3),X3,xR)|aElement0(skolem0003(X3))))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|(X3=skolem0002(X3)|(aReductOfIn0(skolem0002(X3),X3,xR)|aReductOfIn0(skolem0003(X3),X3,xR))))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|(X3=skolem0002(X3)|(aReductOfIn0(skolem0002(X3),X3,xR)|sdtmndtplgtdt0(skolem0003(X3),xR,skolem0002(X3)))))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|(X3=skolem0002(X3)|sdtmndtplgtdt0(X3,xR,skolem0002(X3)))))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|sdtmndtasgtdt0(X3,xR,skolem0002(X3)))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|~aReductOfIn0(X6,skolem0002(X3),xR))))&(~aElement0(X3)|(~iLess0(X3,skolem0001)|aNormalFormOfIn0(skolem0002(X3),X3,xR))))&(((((((~aElement0(X7)|skolem0001!=X7)|aReductOfIn0(skolem0004(X7),X7,xR))&((~aElement0(X7)|~aReductOfIn0(X7,skolem0001,xR))|aReductOfIn0(skolem0004(X7),X7,xR)))&((~aElement0(X7)|((~aElement0(X8)|~aReductOfIn0(X8,skolem0001,xR))|~sdtmndtplgtdt0(X8,xR,X7)))|aReductOfIn0(skolem0004(X7),X7,xR)))&((~aElement0(X7)|~sdtmndtplgtdt0(skolem0001,xR,X7))|aReductOfIn0(skolem0004(X7),X7,xR)))&((~aElement0(X7)|~sdtmndtasgtdt0(skolem0001,xR,X7))|aReductOfIn0(skolem0004(X7),X7,xR)))&~aNormalFormOfIn0(X10,skolem0001,xR))))))))),inference(distribute,[status(thm)],[c15])).
% 1.63/1.84 cnf(c17,negated_conjecture,aElement0(skolem0001),inference(split_conjunct,[status(thm)],[c16])).
% 1.63/1.84 fof(m__587,plain,((aRewritingSystem0(xR)&(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>(((aReductOfIn0(W1,W0,xR)|(?[W2]:((aElement0(W2)&aReductOfIn0(W2,W0,xR))&sdtmndtplgtdt0(W2,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))=>iLess0(W1,W0))))))&isTerminating0(xR)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__587)).
% 1.63/1.84 fof(c32,plain,((aRewritingSystem0(xR)&(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]:((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0))))))&isTerminating0(xR)),inference(fof_nnf,[status(thm)],[m__587])).
% 1.63/1.84 fof(c34,plain,(![X11]:(![X12]:(![X13]:((aRewritingSystem0(xR)&((~aElement0(X11)|~aElement0(X12))|(((~aReductOfIn0(X12,X11,xR)&((~aElement0(X13)|~aReductOfIn0(X13,X11,xR))|~sdtmndtplgtdt0(X13,xR,X12)))&~sdtmndtplgtdt0(X11,xR,X12))|iLess0(X12,X11))))&isTerminating0(xR))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((aRewritingSystem0(xR)&(![X11]:(![X12]:((~aElement0(X11)|~aElement0(X12))|(((~aReductOfIn0(X12,X11,xR)&(![X13]:((~aElement0(X13)|~aReductOfIn0(X13,X11,xR))|~sdtmndtplgtdt0(X13,xR,X12))))&~sdtmndtplgtdt0(X11,xR,X12))|iLess0(X12,X11))))))&isTerminating0(xR)),inference(variable_rename,[status(thm)],[c32])).])).
% 1.63/1.84 fof(c35,plain,(![X11]:(![X12]:(![X13]:((aRewritingSystem0(xR)&((((~aElement0(X11)|~aElement0(X12))|(~aReductOfIn0(X12,X11,xR)|iLess0(X12,X11)))&((~aElement0(X11)|~aElement0(X12))|(((~aElement0(X13)|~aReductOfIn0(X13,X11,xR))|~sdtmndtplgtdt0(X13,xR,X12))|iLess0(X12,X11))))&((~aElement0(X11)|~aElement0(X12))|(~sdtmndtplgtdt0(X11,xR,X12)|iLess0(X12,X11)))))&isTerminating0(xR))))),inference(distribute,[status(thm)],[c34])).
% 1.66/1.84 cnf(c36,plain,aRewritingSystem0(xR),inference(split_conjunct,[status(thm)],[c35])).
% 1.66/1.84 fof(mReduct,axiom,(![W0]:(![W1]:((aElement0(W0)&aRewritingSystem0(W1))=>(![W2]:(aReductOfIn0(W2,W0,W1)=>aElement0(W2)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mReduct)).
% 1.66/1.84 fof(c115,plain,(![W0]:(![W1]:((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]:(~aReductOfIn0(W2,W0,W1)|aElement0(W2)))))),inference(fof_nnf,[status(thm)],[mReduct])).
% 1.66/1.84 fof(c117,plain,(![X59]:(![X60]:(![X61]:((~aElement0(X59)|~aRewritingSystem0(X60))|(~aReductOfIn0(X61,X59,X60)|aElement0(X61)))))),inference(shift_quantors,[status(thm)],[fof(c116,plain,(![X59]:(![X60]:((~aElement0(X59)|~aRewritingSystem0(X60))|(![X61]:(~aReductOfIn0(X61,X59,X60)|aElement0(X61)))))),inference(variable_rename,[status(thm)],[c115])).])).
% 1.66/1.84 cnf(c118,plain,~aElement0(X132)|~aRewritingSystem0(X131)|~aReductOfIn0(X130,X132,X131)|aElement0(X130),inference(split_conjunct,[status(thm)],[c117])).
% 1.66/1.84 cnf(reflexivity,axiom,X62=X62,theory(equality)).
% 1.66/1.84 cnf(c26,negated_conjecture,~aElement0(X144)|skolem0001!=X144|aReductOfIn0(skolem0004(X144),X144,xR),inference(split_conjunct,[status(thm)],[c16])).
% 1.66/1.84 cnf(c144,plain,~aElement0(skolem0001)|aReductOfIn0(skolem0004(skolem0001),skolem0001,xR),inference(resolution,[status(thm)],[c26, reflexivity])).
% 1.66/1.84 cnf(c145,plain,aReductOfIn0(skolem0004(skolem0001),skolem0001,xR),inference(resolution,[status(thm)],[c144, c17])).
% 1.66/1.84 cnf(c146,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|aElement0(skolem0004(skolem0001)),inference(resolution,[status(thm)],[c145, c118])).
% 1.66/1.84 cnf(c148,plain,~aElement0(skolem0001)|aElement0(skolem0004(skolem0001)),inference(resolution,[status(thm)],[c146, c36])).
% 1.66/1.84 cnf(c149,plain,aElement0(skolem0004(skolem0001)),inference(resolution,[status(thm)],[c148, c17])).
% 1.66/1.84 cnf(c37,plain,~aElement0(X146)|~aElement0(X147)|~aReductOfIn0(X147,X146,xR)|iLess0(X147,X146),inference(split_conjunct,[status(thm)],[c35])).
% 1.66/1.84 cnf(c150,plain,~aElement0(skolem0001)|~aElement0(skolem0004(skolem0001))|iLess0(skolem0004(skolem0001),skolem0001),inference(resolution,[status(thm)],[c37, c145])).
% 1.66/1.84 cnf(c192,plain,~aElement0(skolem0001)|iLess0(skolem0004(skolem0001),skolem0001),inference(resolution,[status(thm)],[c150, c149])).
% 1.66/1.84 cnf(c193,plain,iLess0(skolem0004(skolem0001),skolem0001),inference(resolution,[status(thm)],[c192, c17])).
% 1.66/1.84 cnf(c24,negated_conjecture,~aElement0(X141)|~iLess0(X141,skolem0001)|~aReductOfIn0(X140,skolem0002(X141),xR),inference(split_conjunct,[status(thm)],[c16])).
% 1.66/1.84 cnf(c18,negated_conjecture,~aElement0(X124)|~iLess0(X124,skolem0001)|aElement0(skolem0002(X124)),inference(split_conjunct,[status(thm)],[c16])).
% 1.66/1.84 cnf(c195,plain,~aElement0(skolem0004(skolem0001))|aElement0(skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c193, c18])).
% 1.66/1.84 cnf(c202,plain,aElement0(skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c195, c149])).
% 1.66/1.84 cnf(c30,negated_conjecture,~aElement0(X162)|~sdtmndtasgtdt0(skolem0001,xR,X162)|aReductOfIn0(skolem0004(X162),X162,xR),inference(split_conjunct,[status(thm)],[c16])).
% 1.66/1.84 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)).
% 1.66/1.84 fof(c92,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])).
% 1.66/1.84 fof(c93,plain,(![X47]:(![X48]:(![X49]:(((~aElement0(X47)|~aRewritingSystem0(X48))|~aElement0(X49))|((~sdtmndtasgtdt0(X47,X48,X49)|(X47=X49|sdtmndtplgtdt0(X47,X48,X49)))&((X47!=X49&~sdtmndtplgtdt0(X47,X48,X49))|sdtmndtasgtdt0(X47,X48,X49))))))),inference(variable_rename,[status(thm)],[c92])).
% 1.66/1.84 fof(c94,plain,(![X47]:(![X48]:(![X49]:((((~aElement0(X47)|~aRewritingSystem0(X48))|~aElement0(X49))|(~sdtmndtasgtdt0(X47,X48,X49)|(X47=X49|sdtmndtplgtdt0(X47,X48,X49))))&((((~aElement0(X47)|~aRewritingSystem0(X48))|~aElement0(X49))|(X47!=X49|sdtmndtasgtdt0(X47,X48,X49)))&(((~aElement0(X47)|~aRewritingSystem0(X48))|~aElement0(X49))|(~sdtmndtplgtdt0(X47,X48,X49)|sdtmndtasgtdt0(X47,X48,X49)))))))),inference(distribute,[status(thm)],[c93])).
% 1.66/1.84 cnf(c97,plain,~aElement0(X187)|~aRewritingSystem0(X186)|~aElement0(X185)|~sdtmndtplgtdt0(X187,X186,X185)|sdtmndtasgtdt0(X187,X186,X185),inference(split_conjunct,[status(thm)],[c94])).
% 1.66/1.84 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)).
% 1.66/1.84 fof(c101,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])).
% 1.66/1.84 fof(c102,plain,(![X54]:(![X55]:(![X56]:(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|((~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|(?[X57]:((aElement0(X57)&aReductOfIn0(X57,X54,X55))&sdtmndtplgtdt0(X57,X55,X56)))))&((~aReductOfIn0(X56,X54,X55)&(![X58]:((~aElement0(X58)|~aReductOfIn0(X58,X54,X55))|~sdtmndtplgtdt0(X58,X55,X56))))|sdtmndtplgtdt0(X54,X55,X56))))))),inference(variable_rename,[status(thm)],[c101])).
% 1.66/1.84 fof(c104,plain,(![X54]:(![X55]:(![X56]:(![X58]:(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|((~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|((aElement0(skolem0016(X54,X55,X56))&aReductOfIn0(skolem0016(X54,X55,X56),X54,X55))&sdtmndtplgtdt0(skolem0016(X54,X55,X56),X55,X56))))&((~aReductOfIn0(X56,X54,X55)&((~aElement0(X58)|~aReductOfIn0(X58,X54,X55))|~sdtmndtplgtdt0(X58,X55,X56)))|sdtmndtplgtdt0(X54,X55,X56)))))))),inference(shift_quantors,[status(thm)],[fof(c103,plain,(![X54]:(![X55]:(![X56]:(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|((~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|((aElement0(skolem0016(X54,X55,X56))&aReductOfIn0(skolem0016(X54,X55,X56),X54,X55))&sdtmndtplgtdt0(skolem0016(X54,X55,X56),X55,X56))))&((~aReductOfIn0(X56,X54,X55)&(![X58]:((~aElement0(X58)|~aReductOfIn0(X58,X54,X55))|~sdtmndtplgtdt0(X58,X55,X56))))|sdtmndtplgtdt0(X54,X55,X56))))))),inference(skolemize,[status(esa)],[c102])).])).
% 1.66/1.84 fof(c105,plain,(![X54]:(![X55]:(![X56]:(![X58]:((((((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|(~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|aElement0(skolem0016(X54,X55,X56)))))&(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|(~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|aReductOfIn0(skolem0016(X54,X55,X56),X54,X55)))))&(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|(~sdtmndtplgtdt0(X54,X55,X56)|(aReductOfIn0(X56,X54,X55)|sdtmndtplgtdt0(skolem0016(X54,X55,X56),X55,X56)))))&((((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|(~aReductOfIn0(X56,X54,X55)|sdtmndtplgtdt0(X54,X55,X56)))&(((~aElement0(X54)|~aRewritingSystem0(X55))|~aElement0(X56))|(((~aElement0(X58)|~aReductOfIn0(X58,X54,X55))|~sdtmndtplgtdt0(X58,X55,X56))|sdtmndtplgtdt0(X54,X55,X56))))))))),inference(distribute,[status(thm)],[c104])).
% 1.66/1.84 cnf(c109,plain,~aElement0(X192)|~aRewritingSystem0(X193)|~aElement0(X194)|~aReductOfIn0(X194,X192,X193)|sdtmndtplgtdt0(X192,X193,X194),inference(split_conjunct,[status(thm)],[c105])).
% 1.66/1.84 cnf(c218,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(skolem0004(skolem0001))|sdtmndtplgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c109, c145])).
% 1.66/1.84 cnf(c330,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c218, c149])).
% 1.66/1.84 cnf(c331,plain,~aElement0(skolem0001)|sdtmndtplgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c330, c36])).
% 1.66/1.84 cnf(c332,plain,sdtmndtplgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c331, c17])).
% 1.66/1.84 cnf(c337,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(skolem0004(skolem0001))|sdtmndtasgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c332, c97])).
% 1.66/1.84 cnf(c347,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|sdtmndtasgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c337, c149])).
% 1.66/1.84 cnf(c348,plain,~aElement0(skolem0001)|sdtmndtasgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c347, c36])).
% 1.66/1.84 cnf(c349,plain,sdtmndtasgtdt0(skolem0001,xR,skolem0004(skolem0001)),inference(resolution,[status(thm)],[c348, c17])).
% 1.66/1.84 cnf(c23,negated_conjecture,~aElement0(X139)|~iLess0(X139,skolem0001)|sdtmndtasgtdt0(X139,xR,skolem0002(X139)),inference(split_conjunct,[status(thm)],[c16])).
% 1.66/1.84 cnf(c196,plain,~aElement0(skolem0004(skolem0001))|sdtmndtasgtdt0(skolem0004(skolem0001),xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c193, c23])).
% 1.66/1.84 cnf(c257,plain,sdtmndtasgtdt0(skolem0004(skolem0001),xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c196, c149])).
% 1.66/1.84 fof(mTCRTrans,axiom,(![W0]:(![W1]:(![W2]:(![W3]:((((aElement0(W0)&aRewritingSystem0(W1))&aElement0(W2))&aElement0(W3))=>((sdtmndtasgtdt0(W0,W1,W2)&sdtmndtasgtdt0(W2,W1,W3))=>sdtmndtasgtdt0(W0,W1,W3))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRTrans)).
% 1.66/1.84 fof(c89,plain,(![W0]:(![W1]:(![W2]:(![W3]:((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3))))))),inference(fof_nnf,[status(thm)],[mTCRTrans])).
% 1.66/1.84 fof(c90,plain,(![X43]:(![X44]:(![X45]:(![X46]:((((~aElement0(X43)|~aRewritingSystem0(X44))|~aElement0(X45))|~aElement0(X46))|((~sdtmndtasgtdt0(X43,X44,X45)|~sdtmndtasgtdt0(X45,X44,X46))|sdtmndtasgtdt0(X43,X44,X46))))))),inference(variable_rename,[status(thm)],[c89])).
% 1.66/1.84 cnf(c91,plain,~aElement0(X238)|~aRewritingSystem0(X236)|~aElement0(X239)|~aElement0(X237)|~sdtmndtasgtdt0(X238,X236,X239)|~sdtmndtasgtdt0(X239,X236,X237)|sdtmndtasgtdt0(X238,X236,X237),inference(split_conjunct,[status(thm)],[c90])).
% 1.66/1.84 cnf(c313,plain,~aElement0(X647)|~aRewritingSystem0(xR)|~aElement0(skolem0004(skolem0001))|~aElement0(skolem0002(skolem0004(skolem0001)))|~sdtmndtasgtdt0(X647,xR,skolem0004(skolem0001))|sdtmndtasgtdt0(X647,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c91, c257])).
% 1.66/1.84 cnf(c1790,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(skolem0004(skolem0001))|~aElement0(skolem0002(skolem0004(skolem0001)))|sdtmndtasgtdt0(skolem0001,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c313, c349])).
% 1.66/1.84 cnf(c1830,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(skolem0004(skolem0001))|sdtmndtasgtdt0(skolem0001,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c1790, c202])).
% 1.66/1.84 cnf(c1831,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|sdtmndtasgtdt0(skolem0001,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c1830, c149])).
% 1.66/1.84 cnf(c1832,plain,~aElement0(skolem0001)|sdtmndtasgtdt0(skolem0001,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c1831, c36])).
% 1.66/1.84 cnf(c1833,plain,sdtmndtasgtdt0(skolem0001,xR,skolem0002(skolem0004(skolem0001))),inference(resolution,[status(thm)],[c1832, c17])).
% 1.66/1.84 cnf(c1842,plain,~aElement0(skolem0002(skolem0004(skolem0001)))|aReductOfIn0(skolem0004(skolem0002(skolem0004(skolem0001))),skolem0002(skolem0004(skolem0001)),xR),inference(resolution,[status(thm)],[c1833, c30])).
% 1.66/1.84 cnf(c1851,plain,aReductOfIn0(skolem0004(skolem0002(skolem0004(skolem0001))),skolem0002(skolem0004(skolem0001)),xR),inference(resolution,[status(thm)],[c1842, c202])).
% 1.66/1.84 cnf(c1858,plain,~aElement0(skolem0004(skolem0001))|~iLess0(skolem0004(skolem0001),skolem0001),inference(resolution,[status(thm)],[c1851, c24])).
% 1.66/1.84 cnf(c1863,plain,~aElement0(skolem0004(skolem0001)),inference(resolution,[status(thm)],[c1858, c193])).
% 1.66/1.84 cnf(c1864,plain,$false,inference(resolution,[status(thm)],[c1863, c149])).
% 1.66/1.84 % SZS output end CNFRefutation
% 1.66/1.84
% 1.66/1.84 % Initial clauses : 75
% 1.66/1.84 % Processed clauses : 569
% 1.66/1.84 % Factors computed : 21
% 1.66/1.84 % Resolvents computed: 1721
% 1.66/1.84 % Tautologies deleted: 41
% 1.66/1.84 % Forward subsumed : 176
% 1.66/1.84 % Backward subsumed : 166
% 1.66/1.84 % -------- CPU Time ---------
% 1.66/1.84 % User time : 1.432 s
% 1.66/1.84 % System time : 0.025 s
% 1.66/1.84 % Total time : 1.457 s
%------------------------------------------------------------------------------