TSTP Solution File: ALG203+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ALG203+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:14:54 EDT 2024
% Result : Theorem 191.24s 191.43s
% Output : Refutation 191.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG203+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 9 00:52:22 EDT 2024
% 0.15/0.36 % CPUTime :
% 191.24/191.43 % Version: 1.5
% 191.24/191.43 % SZS status Theorem
% 191.24/191.43 % SZS output start CNFRefutation
% 191.24/191.43 fof(ax3,axiom,((?[U]:(sorti1(U)&op1(U,U)=U))&(?[V]:(sorti1(V)&op1(V,V)!=V))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 191.24/191.43 fof(c20,plain,((?[X12]:(sorti1(X12)&op1(X12,X12)=X12))&(?[X13]:(sorti1(X13)&op1(X13,X13)!=X13))),inference(variable_rename,[status(thm)],[ax3])).
% 191.24/191.43 fof(c21,plain,((sorti1(skolem0001)&op1(skolem0001,skolem0001)=skolem0001)&(sorti1(skolem0002)&op1(skolem0002,skolem0002)!=skolem0002)),inference(skolemize,[status(esa)],[c20])).
% 191.24/191.43 cnf(c25,plain,op1(skolem0002,skolem0002)!=skolem0002,inference(split_conjunct,[status(thm)],[c21])).
% 191.24/191.43 cnf(symmetry,axiom,X20!=X19|X19=X20,theory(equality)).
% 191.24/191.43 fof(co1,conjecture,(((![U]:(sorti1(U)=>sorti2(h(U))))&(![V]:(sorti2(V)=>sorti1(j(V)))))=>(~((((![W]:(sorti1(W)=>(![X]:(sorti1(X)=>h(op1(W,X))=op2(h(W),h(X))))))&(![Y]:(sorti2(Y)=>(![Z]:(sorti2(Z)=>j(op2(Y,Z))=op1(j(Y),j(Z)))))))&(![X1]:(sorti2(X1)=>h(j(X1))=X1)))&(![X2]:(sorti1(X2)=>j(h(X2))=X2))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 191.24/191.43 fof(c6,negated_conjecture,(~(((![U]:(sorti1(U)=>sorti2(h(U))))&(![V]:(sorti2(V)=>sorti1(j(V)))))=>(~((((![W]:(sorti1(W)=>(![X]:(sorti1(X)=>h(op1(W,X))=op2(h(W),h(X))))))&(![Y]:(sorti2(Y)=>(![Z]:(sorti2(Z)=>j(op2(Y,Z))=op1(j(Y),j(Z)))))))&(![X1]:(sorti2(X1)=>h(j(X1))=X1)))&(![X2]:(sorti1(X2)=>j(h(X2))=X2)))))),inference(assume_negation,[status(cth)],[co1])).
% 191.24/191.43 fof(c7,negated_conjecture,(((![U]:(~sorti1(U)|sorti2(h(U))))&(![V]:(~sorti2(V)|sorti1(j(V)))))&((((![W]:(~sorti1(W)|(![X]:(~sorti1(X)|h(op1(W,X))=op2(h(W),h(X))))))&(![Y]:(~sorti2(Y)|(![Z]:(~sorti2(Z)|j(op2(Y,Z))=op1(j(Y),j(Z)))))))&(![X1]:(~sorti2(X1)|h(j(X1))=X1)))&(![X2]:(~sorti1(X2)|j(h(X2))=X2)))),inference(fof_nnf,[status(thm)],[c6])).
% 191.24/191.43 fof(c9,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(((~sorti1(X2)|sorti2(h(X2)))&(~sorti2(X3)|sorti1(j(X3))))&((((~sorti1(X4)|(~sorti1(X5)|h(op1(X4,X5))=op2(h(X4),h(X5))))&(~sorti2(X6)|(~sorti2(X7)|j(op2(X6,X7))=op1(j(X6),j(X7)))))&(~sorti2(X8)|h(j(X8))=X8))&(~sorti1(X9)|j(h(X9))=X9))))))))))),inference(shift_quantors,[status(thm)],[fof(c8,negated_conjecture,(((![X2]:(~sorti1(X2)|sorti2(h(X2))))&(![X3]:(~sorti2(X3)|sorti1(j(X3)))))&((((![X4]:(~sorti1(X4)|(![X5]:(~sorti1(X5)|h(op1(X4,X5))=op2(h(X4),h(X5))))))&(![X6]:(~sorti2(X6)|(![X7]:(~sorti2(X7)|j(op2(X6,X7))=op1(j(X6),j(X7)))))))&(![X8]:(~sorti2(X8)|h(j(X8))=X8)))&(![X9]:(~sorti1(X9)|j(h(X9))=X9)))),inference(variable_rename,[status(thm)],[c7])).])).
% 191.24/191.43 cnf(c15,negated_conjecture,~sorti1(X51)|j(h(X51))=X51,inference(split_conjunct,[status(thm)],[c9])).
% 191.24/191.43 cnf(c24,plain,sorti1(skolem0002),inference(split_conjunct,[status(thm)],[c21])).
% 191.24/191.43 fof(ax1,axiom,(![U]:(sorti1(U)=>(![V]:(sorti1(V)=>sorti1(op1(U,V)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)).
% 191.24/191.43 fof(c30,plain,(![U]:(~sorti1(U)|(![V]:(~sorti1(V)|sorti1(op1(U,V)))))),inference(fof_nnf,[status(thm)],[ax1])).
% 191.24/191.43 fof(c32,plain,(![X16]:(![X17]:(~sorti1(X16)|(~sorti1(X17)|sorti1(op1(X16,X17)))))),inference(shift_quantors,[status(thm)],[fof(c31,plain,(![X16]:(~sorti1(X16)|(![X17]:(~sorti1(X17)|sorti1(op1(X16,X17)))))),inference(variable_rename,[status(thm)],[c30])).])).
% 191.24/191.43 cnf(c33,plain,~sorti1(X59)|~sorti1(X60)|sorti1(op1(X59,X60)),inference(split_conjunct,[status(thm)],[c32])).
% 191.24/191.43 cnf(c128,plain,~sorti1(X61)|sorti1(op1(X61,X61)),inference(factor,[status(thm)],[c33])).
% 191.24/191.43 cnf(c133,plain,sorti1(op1(skolem0002,skolem0002)),inference(resolution,[status(thm)],[c128, c24])).
% 191.24/191.43 cnf(c138,plain,j(h(op1(skolem0002,skolem0002)))=op1(skolem0002,skolem0002),inference(resolution,[status(thm)],[c133, c15])).
% 191.24/191.43 cnf(c2934,plain,op1(skolem0002,skolem0002)=j(h(op1(skolem0002,skolem0002))),inference(resolution,[status(thm)],[c138, symmetry])).
% 191.24/191.43 cnf(transitivity,axiom,X24!=X22|X22!=X23|X24=X23,theory(equality)).
% 191.24/191.43 cnf(c73,plain,j(h(skolem0002))=skolem0002,inference(resolution,[status(thm)],[c15, c24])).
% 191.24/191.43 cnf(c81,plain,X94!=j(h(skolem0002))|X94=skolem0002,inference(resolution,[status(thm)],[c73, transitivity])).
% 191.24/191.43 cnf(c3,axiom,X49!=X48|j(X49)=j(X48),theory(equality)).
% 191.24/191.43 cnf(c12,negated_conjecture,~sorti1(X52)|~sorti1(X53)|h(op1(X52,X53))=op2(h(X52),h(X53)),inference(split_conjunct,[status(thm)],[c9])).
% 191.24/191.43 cnf(c101,plain,~sorti1(X116)|h(op1(X116,X116))=op2(h(X116),h(X116)),inference(factor,[status(thm)],[c12])).
% 191.24/191.43 cnf(c1265,plain,h(op1(skolem0002,skolem0002))=op2(h(skolem0002),h(skolem0002)),inference(resolution,[status(thm)],[c101, c24])).
% 191.24/191.43 cnf(c10,negated_conjecture,~sorti1(X25)|sorti2(h(X25)),inference(split_conjunct,[status(thm)],[c9])).
% 191.24/191.43 cnf(c37,plain,sorti2(h(skolem0002)),inference(resolution,[status(thm)],[c10, c24])).
% 191.24/191.43 cnf(c22,plain,sorti1(skolem0001),inference(split_conjunct,[status(thm)],[c21])).
% 191.24/191.43 cnf(c38,plain,sorti2(h(skolem0001)),inference(resolution,[status(thm)],[c10, c22])).
% 191.24/191.43 fof(ax4,axiom,(~((?[U]:(sorti2(U)&op2(U,U)=U))&(?[V]:(sorti2(V)&op2(V,V)!=V)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)).
% 191.24/191.43 fof(c16,plain,((![U]:(~sorti2(U)|op2(U,U)!=U))|(![V]:(~sorti2(V)|op2(V,V)=V))),inference(fof_nnf,[status(thm)],[ax4])).
% 191.24/191.43 fof(c18,plain,(![X10]:(![X11]:((~sorti2(X10)|op2(X10,X10)!=X10)|(~sorti2(X11)|op2(X11,X11)=X11)))),inference(shift_quantors,[status(thm)],[fof(c17,plain,((![X10]:(~sorti2(X10)|op2(X10,X10)!=X10))|(![X11]:(~sorti2(X11)|op2(X11,X11)=X11))),inference(variable_rename,[status(thm)],[c16])).])).
% 191.24/191.43 cnf(c19,plain,~sorti2(X64)|op2(X64,X64)!=X64|~sorti2(X63)|op2(X63,X63)=X63,inference(split_conjunct,[status(thm)],[c18])).
% 191.24/191.43 cnf(c23,plain,op1(skolem0001,skolem0001)=skolem0001,inference(split_conjunct,[status(thm)],[c21])).
% 191.24/191.43 cnf(c2,axiom,X45!=X44|h(X45)=h(X44),theory(equality)).
% 191.24/191.43 cnf(c57,plain,h(op1(skolem0001,skolem0001))=h(skolem0001),inference(resolution,[status(thm)],[c2, c23])).
% 191.24/191.43 cnf(c338,plain,X207!=h(op1(skolem0001,skolem0001))|X207=h(skolem0001),inference(resolution,[status(thm)],[c57, transitivity])).
% 191.24/191.43 cnf(c1254,plain,h(op1(skolem0001,skolem0001))=op2(h(skolem0001),h(skolem0001)),inference(resolution,[status(thm)],[c101, c22])).
% 191.24/191.43 cnf(c64333,plain,op2(h(skolem0001),h(skolem0001))=h(op1(skolem0001,skolem0001)),inference(resolution,[status(thm)],[c1254, symmetry])).
% 191.24/191.43 cnf(c187694,plain,op2(h(skolem0001),h(skolem0001))=h(skolem0001),inference(resolution,[status(thm)],[c64333, c338])).
% 191.24/191.43 cnf(c187824,plain,~sorti2(h(skolem0001))|~sorti2(X704)|op2(X704,X704)=X704,inference(resolution,[status(thm)],[c187694, c19])).
% 191.24/191.43 cnf(c187865,plain,~sorti2(X705)|op2(X705,X705)=X705,inference(resolution,[status(thm)],[c187824, c38])).
% 191.24/191.43 cnf(c187937,plain,op2(h(skolem0002),h(skolem0002))=h(skolem0002),inference(resolution,[status(thm)],[c187865, c37])).
% 191.24/191.43 cnf(c188378,plain,X842!=op2(h(skolem0002),h(skolem0002))|X842=h(skolem0002),inference(resolution,[status(thm)],[c187937, transitivity])).
% 191.24/191.43 cnf(c198229,plain,h(op1(skolem0002,skolem0002))=h(skolem0002),inference(resolution,[status(thm)],[c188378, c1265])).
% 191.24/191.43 cnf(c198246,plain,j(h(op1(skolem0002,skolem0002)))=j(h(skolem0002)),inference(resolution,[status(thm)],[c198229, c3])).
% 191.24/191.43 cnf(c198583,plain,j(h(op1(skolem0002,skolem0002)))=skolem0002,inference(resolution,[status(thm)],[c198246, c81])).
% 191.24/191.43 cnf(c198633,plain,X845!=j(h(op1(skolem0002,skolem0002)))|X845=skolem0002,inference(resolution,[status(thm)],[c198583, transitivity])).
% 191.24/191.43 cnf(c199321,plain,op1(skolem0002,skolem0002)=skolem0002,inference(resolution,[status(thm)],[c198633, c2934])).
% 191.24/191.43 cnf(c199380,plain,$false,inference(resolution,[status(thm)],[c199321, c25])).
% 191.24/191.43 % SZS output end CNFRefutation
% 191.24/191.43
% 191.24/191.43 % Initial clauses : 22
% 191.24/191.43 % Processed clauses : 3077
% 191.24/191.43 % Factors computed : 8
% 191.24/191.43 % Resolvents computed: 199395
% 191.24/191.43 % Tautologies deleted: 4
% 191.24/191.43 % Forward subsumed : 1228
% 191.24/191.43 % Backward subsumed : 2
% 191.24/191.43 % -------- CPU Time ---------
% 191.24/191.43 % User time : 190.394 s
% 191.24/191.43 % System time : 0.640 s
% 191.24/191.43 % Total time : 191.034 s
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