TSTP Solution File: SWC258+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC258+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:43:41 EDT 2024
% Result : Theorem 15.08s 15.31s
% Output : Refutation 15.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC258+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 02:50:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 15.08/15.31 % Version: 1.5
% 15.08/15.31 % SZS status Theorem
% 15.08/15.31 % SZS output start CNFRefutation
% 15.08/15.31 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((V!=X|U!=W)|totalorderedP(U))|((![Y]:(ssItem(Y)=>((cons(Y,nil)!=W|(~memberP(X,Y)))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Z,Y))))))&(nil!=X|nil!=W))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 15.08/15.31 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((V!=X|U!=W)|totalorderedP(U))|((![Y]:(ssItem(Y)=>((cons(Y,nil)!=W|(~memberP(X,Y)))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Z,Y))))))&(nil!=X|nil!=W)))))))))))),inference(assume_negation,[status(cth)],[co1])).
% 15.08/15.31 fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((V!=X|U!=W)|totalorderedP(U))|((![Y]:(ssItem(Y)=>((cons(Y,nil)!=W|~memberP(X,Y))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Z,Y))))))&(nil!=X|nil!=W)))))))))))),inference(fof_simplification,[status(thm)],[c23])).
% 15.08/15.31 fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&(((V=X&U=W)&~totalorderedP(U))&((?[Y]:(ssItem(Y)&((cons(Y,nil)=W&memberP(X,Y))&(![Z]:(((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Z,Y))))))|(nil=X&nil=W))))))))))),inference(fof_nnf,[status(thm)],[c24])).
% 15.08/15.31 fof(c26,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:(ssList(X5)&(((X3=X5&X2=X4)&~totalorderedP(X2))&((?[X6]:(ssItem(X6)&((cons(X6,nil)=X4&memberP(X5,X6))&(![X7]:(((~ssItem(X7)|X6=X7)|~memberP(X5,X7))|~leq(X7,X6))))))|(nil=X5&nil=X4))))))))))),inference(variable_rename,[status(thm)],[c25])).
% 15.08/15.31 fof(c28,negated_conjecture,(![X7]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~totalorderedP(skolem0001))&((ssItem(skolem0005)&((cons(skolem0005,nil)=skolem0003&memberP(skolem0004,skolem0005))&(((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(X7,skolem0005))))|(nil=skolem0004&nil=skolem0003)))))))),inference(shift_quantors,[status(thm)],[fof(c27,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~totalorderedP(skolem0001))&((ssItem(skolem0005)&((cons(skolem0005,nil)=skolem0003&memberP(skolem0004,skolem0005))&(![X7]:(((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(X7,skolem0005)))))|(nil=skolem0004&nil=skolem0003))))))),inference(skolemize,[status(esa)],[c26])).])).
% 15.08/15.31 fof(c29,negated_conjecture,(![X7]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~totalorderedP(skolem0001))&(((ssItem(skolem0005)|nil=skolem0004)&(ssItem(skolem0005)|nil=skolem0003))&((((cons(skolem0005,nil)=skolem0003|nil=skolem0004)&(cons(skolem0005,nil)=skolem0003|nil=skolem0003))&((memberP(skolem0004,skolem0005)|nil=skolem0004)&(memberP(skolem0004,skolem0005)|nil=skolem0003)))&(((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(X7,skolem0005))|nil=skolem0004)&((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(X7,skolem0005))|nil=skolem0003)))))))))),inference(distribute,[status(thm)],[c28])).
% 15.08/15.31 cnf(c36,negated_conjecture,~totalorderedP(skolem0001),inference(split_conjunct,[status(thm)],[c29])).
% 15.08/15.31 cnf(symmetry,axiom,X253!=X254|X254=X253,theory(equality)).
% 15.08/15.31 cnf(c35,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.08/15.31 cnf(c522,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c35, symmetry])).
% 15.08/15.31 cnf(c17,axiom,X333!=X332|~totalorderedP(X333)|totalorderedP(X332),theory(equality)).
% 15.08/15.31 cnf(c640,plain,~totalorderedP(skolem0003)|totalorderedP(skolem0001),inference(resolution,[status(thm)],[c17, c522])).
% 15.08/15.31 fof(ax66,axiom,totalorderedP(nil),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax66)).
% 15.08/15.31 cnf(c167,plain,totalorderedP(nil),inference(split_conjunct,[status(thm)],[ax66])).
% 15.08/15.31 fof(ax65,axiom,(![U]:(ssItem(U)=>totalorderedP(cons(U,nil)))),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax65)).
% 15.08/15.31 fof(c168,plain,(![U]:(~ssItem(U)|totalorderedP(cons(U,nil)))),inference(fof_nnf,[status(thm)],[ax65])).
% 15.08/15.31 fof(c169,plain,(![X59]:(~ssItem(X59)|totalorderedP(cons(X59,nil)))),inference(variable_rename,[status(thm)],[c168])).
% 15.08/15.31 cnf(c170,plain,~ssItem(X355)|totalorderedP(cons(X355,nil)),inference(split_conjunct,[status(thm)],[c169])).
% 15.08/15.31 cnf(c38,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.08/15.31 cnf(c693,plain,ssItem(skolem0005)|~totalorderedP(nil)|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c38, c17])).
% 15.08/15.31 cnf(c26195,plain,ssItem(skolem0005)|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c693, c167])).
% 15.08/15.31 cnf(c26211,plain,ssItem(skolem0005)|totalorderedP(skolem0001),inference(resolution,[status(thm)],[c26195, c640])).
% 15.08/15.31 cnf(c26227,plain,ssItem(skolem0005),inference(resolution,[status(thm)],[c26211, c36])).
% 15.08/15.31 cnf(c26228,plain,totalorderedP(cons(skolem0005,nil)),inference(resolution,[status(thm)],[c26227, c170])).
% 15.08/15.31 cnf(c40,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.08/15.31 cnf(c757,plain,nil=skolem0003|~totalorderedP(cons(skolem0005,nil))|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c40, c17])).
% 15.08/15.31 cnf(c29351,plain,nil=skolem0003|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c757, c26228])).
% 15.08/15.31 cnf(c31000,plain,totalorderedP(skolem0003)|~totalorderedP(nil),inference(resolution,[status(thm)],[c29351, c17])).
% 15.08/15.31 cnf(c31058,plain,totalorderedP(skolem0003),inference(resolution,[status(thm)],[c31000, c167])).
% 15.08/15.31 cnf(c31059,plain,totalorderedP(skolem0001),inference(resolution,[status(thm)],[c31058, c640])).
% 15.08/15.31 cnf(c31060,plain,$false,inference(resolution,[status(thm)],[c31059, c36])).
% 15.08/15.31 % SZS output end CNFRefutation
% 15.08/15.31
% 15.08/15.31 % Initial clauses : 231
% 15.08/15.31 % Processed clauses : 1291
% 15.08/15.31 % Factors computed : 44
% 15.08/15.31 % Resolvents computed: 30503
% 15.08/15.31 % Tautologies deleted: 14
% 15.08/15.31 % Forward subsumed : 757
% 15.08/15.31 % Backward subsumed : 377
% 15.08/15.31 % -------- CPU Time ---------
% 15.08/15.31 % User time : 14.892 s
% 15.08/15.31 % System time : 0.076 s
% 15.08/15.31 % Total time : 14.968 s
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