%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM594+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:36:16 EDT 2024
% Result : Theorem 75.82s 76.08s
% Output : Refutation 75.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM594+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n014.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 : Wed May 8 17:00:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 75.82/76.08 % Version: 1.5
% 75.82/76.08 % SZS status Theorem
% 75.82/76.08 % SZS output start CNFRefutation
% 75.82/76.08 fof(m__4781,plain,((?[W0]:(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=xx))&aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__4781)).
% 75.82/76.08 fof(c27,plain,((?[X3]:(aElementOf0(X3,szDzozmdt0(xd))&sdtlpdtrp0(xd,X3)=xx))&aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))),inference(variable_rename,[status(thm)],[m__4781])).
% 75.82/76.08 fof(c28,plain,((aElementOf0(skolem0001,szDzozmdt0(xd))&sdtlpdtrp0(xd,skolem0001)=xx)&aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))),inference(skolemize,[status(esa)],[c27])).
% 75.82/76.08 cnf(c30,plain,sdtlpdtrp0(xd,skolem0001)=xx,inference(split_conjunct,[status(thm)],[c28])).
% 75.82/76.08 fof(m__,conjecture,(?[W0]:(aElementOf0(W0,szNzAzT0)&sdtlpdtrp0(xd,W0)=xx)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 75.82/76.08 fof(c23,negated_conjecture,(~(?[W0]:(aElementOf0(W0,szNzAzT0)&sdtlpdtrp0(xd,W0)=xx))),inference(assume_negation,[status(cth)],[m__])).
% 75.82/76.08 fof(c24,negated_conjecture,(![W0]:(~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xd,W0)!=xx)),inference(fof_nnf,[status(thm)],[c23])).
% 75.82/76.08 fof(c25,negated_conjecture,(![X2]:(~aElementOf0(X2,szNzAzT0)|sdtlpdtrp0(xd,X2)!=xx)),inference(variable_rename,[status(thm)],[c24])).
% 75.82/76.08 cnf(c26,negated_conjecture,~aElementOf0(X375,szNzAzT0)|sdtlpdtrp0(xd,X375)!=xx,inference(split_conjunct,[status(thm)],[c25])).
% 75.82/76.08 cnf(c5558,plain,~aElementOf0(skolem0001,szNzAzT0),inference(resolution,[status(thm)],[c26, c30])).
% 75.82/76.08 fof(mNATSet,axiom,(aSet0(szNzAzT0)&isCountable0(szNzAzT0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mNATSet)).
% 75.82/76.08 cnf(c5065,plain,aSet0(szNzAzT0),inference(split_conjunct,[status(thm)],[mNATSet])).
% 75.82/76.08 cnf(symmetry,axiom,X276!=X275|X275=X276,theory(equality)).
% 75.82/76.08 fof(m__4730,plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]:(aElementOf0(W0,szNzAzT0)=>(![W1]:((aSet0(W1)&((((![W2]:(aElementOf0(W2,W1)=>aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))))|aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))&sbrdtbr0(W1)=xk)|aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))=>sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__4730)).
% 75.82/76.08 fof(c42,plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]:(~aElementOf0(W0,szNzAzT0)|(![W1]:((~aSet0(W1)|((((?[W2]:(aElementOf0(W2,W1)&~aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))))&~aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))|sbrdtbr0(W1)!=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),inference(fof_nnf,[status(thm)],[m__4730])).
% 75.82/76.08 fof(c43,plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![X8]:(~aElementOf0(X8,szNzAzT0)|(![X9]:((~aSet0(X9)|((((?[X10]:(aElementOf0(X10,X9)&~aElementOf0(X10,sdtlpdtrp0(xN,szszuzczcdt0(X8)))))&~aSubsetOf0(X9,sdtlpdtrp0(xN,szszuzczcdt0(X8))))|sbrdtbr0(X9)!=xk)&~aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X8)),xk))))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9)))))),inference(variable_rename,[status(thm)],[c42])).
% 75.82/76.08 fof(c45,plain,(![X8]:(![X9]:((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(~aElementOf0(X8,szNzAzT0)|((~aSet0(X9)|((((aElementOf0(skolem0003(X8,X9),X9)&~aElementOf0(skolem0003(X8,X9),sdtlpdtrp0(xN,szszuzczcdt0(X8))))&~aSubsetOf0(X9,sdtlpdtrp0(xN,szszuzczcdt0(X8))))|sbrdtbr0(X9)!=xk)&~aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X8)),xk))))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9)))))),inference(shift_quantors,[status(thm)],[fof(c44,plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![X8]:(~aElementOf0(X8,szNzAzT0)|(![X9]:((~aSet0(X9)|((((aElementOf0(skolem0003(X8,X9),X9)&~aElementOf0(skolem0003(X8,X9),sdtlpdtrp0(xN,szszuzczcdt0(X8))))&~aSubsetOf0(X9,sdtlpdtrp0(xN,szszuzczcdt0(X8))))|sbrdtbr0(X9)!=xk)&~aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X8)),xk))))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9)))))),inference(skolemize,[status(esa)],[c43])).])).
% 75.82/76.08 fof(c46,plain,(![X8]:(![X9]:((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&((((~aElementOf0(X8,szNzAzT0)|((~aSet0(X9)|(aElementOf0(skolem0003(X8,X9),X9)|sbrdtbr0(X9)!=xk))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9)))&(~aElementOf0(X8,szNzAzT0)|((~aSet0(X9)|(~aElementOf0(skolem0003(X8,X9),sdtlpdtrp0(xN,szszuzczcdt0(X8)))|sbrdtbr0(X9)!=xk))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9))))&(~aElementOf0(X8,szNzAzT0)|((~aSet0(X9)|(~aSubsetOf0(X9,sdtlpdtrp0(xN,szszuzczcdt0(X8)))|sbrdtbr0(X9)!=xk))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9))))&(~aElementOf0(X8,szNzAzT0)|((~aSet0(X9)|~aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X8)),xk)))|sdtlpdtrp0(xd,X8)=sdtlpdtrp0(sdtlpdtrp0(xC,X8),X9))))))),inference(distribute,[status(thm)],[c45])).
% 75.82/76.08 cnf(c48,plain,szDzozmdt0(xd)=szNzAzT0,inference(split_conjunct,[status(thm)],[c46])).
% 75.82/76.08 cnf(c5188,plain,szNzAzT0=szDzozmdt0(xd),inference(resolution,[status(thm)],[c48, symmetry])).
% 75.82/76.08 cnf(reflexivity,axiom,X274=X274,theory(equality)).
% 75.82/76.08 fof(mSubRefl,axiom,(![W0]:(aSet0(W0)=>aSubsetOf0(W0,W0))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSubRefl)).
% 75.82/76.08 fof(c5127,plain,(![W0]:(~aSet0(W0)|aSubsetOf0(W0,W0))),inference(fof_nnf,[status(thm)],[mSubRefl])).
% 75.82/76.08 fof(c5128,plain,(![X258]:(~aSet0(X258)|aSubsetOf0(X258,X258))),inference(variable_rename,[status(thm)],[c5127])).
% 75.82/76.08 cnf(c5129,plain,~aSet0(X289)|aSubsetOf0(X289,X289),inference(split_conjunct,[status(thm)],[c5128])).
% 75.82/76.08 cnf(c5181,plain,aSubsetOf0(szNzAzT0,szNzAzT0),inference(resolution,[status(thm)],[c5129, c5065])).
% 75.82/76.08 cnf(c19,axiom,X360!=X363|X362!=X361|~aSubsetOf0(X360,X362)|aSubsetOf0(X363,X361),theory(equality)).
% 75.82/76.08 cnf(c5498,plain,szNzAzT0!=X1350|szNzAzT0!=X1349|aSubsetOf0(X1350,X1349),inference(resolution,[status(thm)],[c19, c5181])).
% 75.82/76.08 cnf(c11004,plain,szNzAzT0!=X1356|aSubsetOf0(X1356,szNzAzT0),inference(resolution,[status(thm)],[c5498, reflexivity])).
% 75.82/76.08 cnf(c11016,plain,aSubsetOf0(szDzozmdt0(xd),szNzAzT0),inference(resolution,[status(thm)],[c11004, c5188])).
% 75.82/76.08 cnf(c29,plain,aElementOf0(skolem0001,szDzozmdt0(xd)),inference(split_conjunct,[status(thm)],[c28])).
% 75.82/76.08 fof(mDefSub,plain,(![W0]:(aSet0(W0)=>(![W1]:(aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]:(aElementOf0(W2,W1)=>aElementOf0(W2,W0)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSub)).
% 75.82/76.08 fof(c5134,plain,(![W0]:(~aSet0(W0)|(![W1]:((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]:(~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&((~aSet0(W1)|(?[W2]:(aElementOf0(W2,W1)&~aElementOf0(W2,W0))))|aSubsetOf0(W1,W0)))))),inference(fof_nnf,[status(thm)],[mDefSub])).
% 75.82/76.08 fof(c5135,plain,(![W0]:(~aSet0(W0)|((![W1]:(~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]:(~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]:((~aSet0(W1)|(?[W2]:(aElementOf0(W2,W1)&~aElementOf0(W2,W0))))|aSubsetOf0(W1,W0)))))),inference(shift_quantors,[status(thm)],[c5134])).
% 75.82/76.08 fof(c5136,plain,(![X261]:(~aSet0(X261)|((![X262]:(~aSubsetOf0(X262,X261)|(aSet0(X262)&(![X263]:(~aElementOf0(X263,X262)|aElementOf0(X263,X261))))))&(![X264]:((~aSet0(X264)|(?[X265]:(aElementOf0(X265,X264)&~aElementOf0(X265,X261))))|aSubsetOf0(X264,X261)))))),inference(variable_rename,[status(thm)],[c5135])).
% 75.82/76.08 fof(c5138,plain,(![X261]:(![X262]:(![X263]:(![X264]:(~aSet0(X261)|((~aSubsetOf0(X262,X261)|(aSet0(X262)&(~aElementOf0(X263,X262)|aElementOf0(X263,X261))))&((~aSet0(X264)|(aElementOf0(skolem0045(X261,X264),X264)&~aElementOf0(skolem0045(X261,X264),X261)))|aSubsetOf0(X264,X261)))))))),inference(shift_quantors,[status(thm)],[fof(c5137,plain,(![X261]:(~aSet0(X261)|((![X262]:(~aSubsetOf0(X262,X261)|(aSet0(X262)&(![X263]:(~aElementOf0(X263,X262)|aElementOf0(X263,X261))))))&(![X264]:((~aSet0(X264)|(aElementOf0(skolem0045(X261,X264),X264)&~aElementOf0(skolem0045(X261,X264),X261)))|aSubsetOf0(X264,X261)))))),inference(skolemize,[status(esa)],[c5136])).])).
% 75.82/76.08 fof(c5139,plain,(![X261]:(![X262]:(![X263]:(![X264]:(((~aSet0(X261)|(~aSubsetOf0(X262,X261)|aSet0(X262)))&(~aSet0(X261)|(~aSubsetOf0(X262,X261)|(~aElementOf0(X263,X262)|aElementOf0(X263,X261)))))&((~aSet0(X261)|((~aSet0(X264)|aElementOf0(skolem0045(X261,X264),X264))|aSubsetOf0(X264,X261)))&(~aSet0(X261)|((~aSet0(X264)|~aElementOf0(skolem0045(X261,X264),X261))|aSubsetOf0(X264,X261))))))))),inference(distribute,[status(thm)],[c5138])).
% 75.82/76.08 cnf(c5141,plain,~aSet0(X4163)|~aSubsetOf0(X4162,X4163)|~aElementOf0(X4161,X4162)|aElementOf0(X4161,X4163),inference(split_conjunct,[status(thm)],[c5139])).
% 75.82/76.08 cnf(c31199,plain,~aSet0(X4310)|~aSubsetOf0(szDzozmdt0(xd),X4310)|aElementOf0(skolem0001,X4310),inference(resolution,[status(thm)],[c5141, c29])).
% 75.82/76.08 cnf(c32280,plain,~aSet0(szNzAzT0)|aElementOf0(skolem0001,szNzAzT0),inference(resolution,[status(thm)],[c31199, c11016])).
% 75.82/76.08 cnf(c32284,plain,aElementOf0(skolem0001,szNzAzT0),inference(resolution,[status(thm)],[c32280, c5065])).
% 75.82/76.08 cnf(c32311,plain,$false,inference(resolution,[status(thm)],[c32284, c5558])).
% 75.82/76.08 % SZS output end CNFRefutation
% 75.82/76.08
% 75.82/76.08 % Initial clauses : 4874
% 75.82/76.08 % Processed clauses : 4078
% 75.82/76.08 % Factors computed : 28
% 75.82/76.08 % Resolvents computed: 27113
% 75.82/76.08 % Tautologies deleted: 29
% 75.82/76.08 % Forward subsumed : 1630
% 75.82/76.08 % Backward subsumed : 137
% 75.82/76.08 % -------- CPU Time ---------
% 75.82/76.08 % User time : 75.569 s
% 75.82/76.08 % System time : 0.108 s
% 75.82/76.08 % Total time : 75.677 s
%------------------------------------------------------------------------------