TSTP Solution File: SWC257+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWC257+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 15.74s 15.93s
% Output   : Refutation 15.74s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SWC257+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n018.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 : Thu May  9 02:43:23 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 15.74/15.93  % Version:  1.5
% 15.74/15.93  % SZS status Theorem
% 15.74/15.93  % SZS output start CNFRefutation
% 15.74/15.93  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(Y,Z)))))&(nil!=X|nil!=W)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 15.74/15.93  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(Y,Z)))))&(nil!=X|nil!=W))))))))))),inference(assume_negation,[status(cth)],[co1])).
% 15.74/15.93  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(Y,Z)))))&(nil!=X|nil!=W))))))))))),inference(fof_simplification,[status(thm)],[c23])).
% 15.74/15.93  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(Y,Z)))))|(nil=X&nil=W)))))))))),inference(fof_nnf,[status(thm)],[c24])).
% 15.74/15.93  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(X6,X7)))))|(nil=X5&nil=X4)))))))))),inference(variable_rename,[status(thm)],[c25])).
% 15.74/15.93  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(skolem0005,X7)))|(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(skolem0005,X7))))|(nil=skolem0004&nil=skolem0003)))))),inference(skolemize,[status(esa)],[c26])).])).
% 15.74/15.93  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(skolem0005,X7))|nil=skolem0004)&((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(skolem0005,X7))|nil=skolem0003)))))))),inference(distribute,[status(thm)],[c28])).
% 15.74/15.93  cnf(c36,negated_conjecture,~totalorderedP(skolem0001),inference(split_conjunct,[status(thm)],[c29])).
% 15.74/15.93  cnf(symmetry,axiom,X253!=X254|X254=X253,theory(equality)).
% 15.74/15.93  cnf(c35,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.74/15.93  cnf(c522,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c35, symmetry])).
% 15.74/15.93  cnf(c17,axiom,X333!=X332|~totalorderedP(X333)|totalorderedP(X332),theory(equality)).
% 15.74/15.93  cnf(c643,plain,~totalorderedP(skolem0003)|totalorderedP(skolem0001),inference(resolution,[status(thm)],[c17, c522])).
% 15.74/15.93  fof(ax66,axiom,totalorderedP(nil),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax66)).
% 15.74/15.93  cnf(c167,plain,totalorderedP(nil),inference(split_conjunct,[status(thm)],[ax66])).
% 15.74/15.93  fof(ax65,axiom,(![U]:(ssItem(U)=>totalorderedP(cons(U,nil)))),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax65)).
% 15.74/15.93  fof(c168,plain,(![U]:(~ssItem(U)|totalorderedP(cons(U,nil)))),inference(fof_nnf,[status(thm)],[ax65])).
% 15.74/15.93  fof(c169,plain,(![X59]:(~ssItem(X59)|totalorderedP(cons(X59,nil)))),inference(variable_rename,[status(thm)],[c168])).
% 15.74/15.93  cnf(c170,plain,~ssItem(X355)|totalorderedP(cons(X355,nil)),inference(split_conjunct,[status(thm)],[c169])).
% 15.74/15.93  cnf(c38,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.74/15.93  cnf(c697,plain,ssItem(skolem0005)|~totalorderedP(nil)|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c38, c17])).
% 15.74/15.93  cnf(c26349,plain,ssItem(skolem0005)|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c697, c167])).
% 15.74/15.93  cnf(c26365,plain,ssItem(skolem0005)|totalorderedP(skolem0001),inference(resolution,[status(thm)],[c26349, c643])).
% 15.74/15.93  cnf(c26381,plain,ssItem(skolem0005),inference(resolution,[status(thm)],[c26365, c36])).
% 15.74/15.93  cnf(c26393,plain,totalorderedP(cons(skolem0005,nil)),inference(resolution,[status(thm)],[c26381, c170])).
% 15.74/15.93  cnf(c40,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 15.74/15.93  cnf(c761,plain,nil=skolem0003|~totalorderedP(cons(skolem0005,nil))|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c40, c17])).
% 15.74/15.93  cnf(c29691,plain,nil=skolem0003|totalorderedP(skolem0003),inference(resolution,[status(thm)],[c761, c26393])).
% 15.74/15.93  cnf(c31602,plain,totalorderedP(skolem0003)|~totalorderedP(nil),inference(resolution,[status(thm)],[c29691, c17])).
% 15.74/15.93  cnf(c31677,plain,totalorderedP(skolem0003),inference(resolution,[status(thm)],[c31602, c167])).
% 15.74/15.93  cnf(c31678,plain,totalorderedP(skolem0001),inference(resolution,[status(thm)],[c31677, c643])).
% 15.74/15.93  cnf(c31679,plain,$false,inference(resolution,[status(thm)],[c31678, c36])).
% 15.74/15.93  % SZS output end CNFRefutation
% 15.74/15.93  
% 15.74/15.93  % Initial clauses    : 231
% 15.74/15.93  % Processed clauses  : 1315
% 15.74/15.93  % Factors computed   : 44
% 15.74/15.93  % Resolvents computed: 31122
% 15.74/15.93  % Tautologies deleted: 14
% 15.74/15.93  % Forward subsumed   : 774
% 15.74/15.93  % Backward subsumed  : 442
% 15.74/15.93  % -------- CPU Time ---------
% 15.74/15.93  % User time          : 15.490 s
% 15.74/15.93  % System time        : 0.074 s
% 15.74/15.93  % Total time         : 15.564 s
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