TSTP Solution File: KRS075+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : KRS075+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 17:28:38 EDT 2024

% Result   : Unsatisfiable 0.48s 0.68s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KRS075+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  9 00:14:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.48/0.68  % Version:  1.5
% 0.48/0.68  % SZS status Unsatisfiable
% 0.48/0.68  % SZS output start CNFRefutation
% 0.48/0.68  fof(axiom_9,axiom,cUnsatisfiable(i2003_11_14_17_19_02584),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_9)).
% 0.48/0.68  cnf(c18,plain,cUnsatisfiable(i2003_11_14_17_19_02584),inference(split_conjunct,[status(thm)],[axiom_9])).
% 0.48/0.68  fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rf1(X,Y)&(~cp(Y))))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.48/0.68  fof(c46,plain,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rf1(X,Y)&~cp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y)))))),inference(fof_simplification,[status(thm)],[axiom_2])).
% 0.48/0.68  fof(c47,plain,(![X]:((~cUnsatisfiable(X)|(((?[Y]:(rf1(X,Y)&~cp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y)))))&((((![Y]:(~rf1(X,Y)|cp(Y)))|(![Y]:(~rs(X,Y)|~cowlThing(Y))))|(![Y]:(~rf(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[c46])).
% 0.48/0.68  fof(c48,plain,((![X]:(~cUnsatisfiable(X)|(((?[Y]:(rf1(X,Y)&~cp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y))))))&(![X]:((((![Y]:(~rf1(X,Y)|cp(Y)))|(![Y]:(~rs(X,Y)|~cowlThing(Y))))|(![Y]:(~rf(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c47])).
% 0.48/0.68  fof(c49,plain,((![X27]:(~cUnsatisfiable(X27)|(((?[X28]:(rf1(X27,X28)&~cp(X28)))&(?[X29]:(rs(X27,X29)&cowlThing(X29))))&(?[X30]:(rf(X27,X30)&cp(X30))))))&(![X31]:((((![X32]:(~rf1(X31,X32)|cp(X32)))|(![X33]:(~rs(X31,X33)|~cowlThing(X33))))|(![X34]:(~rf(X31,X34)|~cp(X34))))|cUnsatisfiable(X31)))),inference(variable_rename,[status(thm)],[c48])).
% 0.48/0.68  fof(c51,plain,(![X27]:(![X31]:(![X32]:(![X33]:(![X34]:((~cUnsatisfiable(X27)|(((rf1(X27,skolem0001(X27))&~cp(skolem0001(X27)))&(rs(X27,skolem0002(X27))&cowlThing(skolem0002(X27))))&(rf(X27,skolem0003(X27))&cp(skolem0003(X27)))))&((((~rf1(X31,X32)|cp(X32))|(~rs(X31,X33)|~cowlThing(X33)))|(~rf(X31,X34)|~cp(X34)))|cUnsatisfiable(X31)))))))),inference(shift_quantors,[status(thm)],[fof(c50,plain,((![X27]:(~cUnsatisfiable(X27)|(((rf1(X27,skolem0001(X27))&~cp(skolem0001(X27)))&(rs(X27,skolem0002(X27))&cowlThing(skolem0002(X27))))&(rf(X27,skolem0003(X27))&cp(skolem0003(X27))))))&(![X31]:((((![X32]:(~rf1(X31,X32)|cp(X32)))|(![X33]:(~rs(X31,X33)|~cowlThing(X33))))|(![X34]:(~rf(X31,X34)|~cp(X34))))|cUnsatisfiable(X31)))),inference(skolemize,[status(esa)],[c49])).])).
% 0.48/0.68  fof(c52,plain,(![X27]:(![X31]:(![X32]:(![X33]:(![X34]:(((((~cUnsatisfiable(X27)|rf1(X27,skolem0001(X27)))&(~cUnsatisfiable(X27)|~cp(skolem0001(X27))))&((~cUnsatisfiable(X27)|rs(X27,skolem0002(X27)))&(~cUnsatisfiable(X27)|cowlThing(skolem0002(X27)))))&((~cUnsatisfiable(X27)|rf(X27,skolem0003(X27)))&(~cUnsatisfiable(X27)|cp(skolem0003(X27)))))&((((~rf1(X31,X32)|cp(X32))|(~rs(X31,X33)|~cowlThing(X33)))|(~rf(X31,X34)|~cp(X34)))|cUnsatisfiable(X31)))))))),inference(distribute,[status(thm)],[c51])).
% 0.48/0.68  cnf(c54,plain,~cUnsatisfiable(X118)|~cp(skolem0001(X118)),inference(split_conjunct,[status(thm)],[c52])).
% 0.48/0.68  cnf(c3,axiom,X131!=X130|~cp(X131)|cp(X130),theory(equality)).
% 0.48/0.68  cnf(symmetry,axiom,X92!=X91|X91=X92,theory(equality)).
% 0.48/0.68  cnf(c53,plain,~cUnsatisfiable(X126)|rf1(X126,skolem0001(X126)),inference(split_conjunct,[status(thm)],[c52])).
% 0.48/0.68  cnf(c133,plain,rf1(i2003_11_14_17_19_02584,skolem0001(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c53, c18])).
% 0.48/0.68  fof(axiom_10,axiom,(![X]:(![Y]:(rs(X,Y)=>rf1(X,Y)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_10)).
% 0.48/0.68  fof(c15,plain,(![X]:(![Y]:(~rs(X,Y)|rf1(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_10])).
% 0.48/0.68  fof(c16,plain,(![X4]:(![X5]:(~rs(X4,X5)|rf1(X4,X5)))),inference(variable_rename,[status(thm)],[c15])).
% 0.48/0.68  cnf(c17,plain,~rs(X98,X99)|rf1(X98,X99),inference(split_conjunct,[status(thm)],[c16])).
% 0.48/0.68  cnf(c55,plain,~cUnsatisfiable(X129)|rs(X129,skolem0002(X129)),inference(split_conjunct,[status(thm)],[c52])).
% 0.48/0.68  cnf(c136,plain,rs(i2003_11_14_17_19_02584,skolem0002(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c55, c18])).
% 0.48/0.68  cnf(c139,plain,rf1(i2003_11_14_17_19_02584,skolem0002(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c136, c17])).
% 0.48/0.68  fof(axiom_4,axiom,(![X]:(![Y]:(![Z]:((rf1(X,Y)&rf1(X,Z))=>Y=Z)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 0.48/0.68  fof(c40,plain,(![X]:(![Y]:(![Z]:((~rf1(X,Y)|~rf1(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.48/0.68  fof(c41,plain,(![X21]:(![X22]:(![X23]:((~rf1(X21,X22)|~rf1(X21,X23))|X22=X23)))),inference(variable_rename,[status(thm)],[c40])).
% 0.48/0.68  cnf(c42,plain,~rf1(X173,X174)|~rf1(X173,X175)|X174=X175,inference(split_conjunct,[status(thm)],[c41])).
% 0.48/0.68  cnf(c162,plain,~rf1(i2003_11_14_17_19_02584,X234)|X234=skolem0002(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c42, c139])).
% 0.48/0.68  cnf(c194,plain,skolem0001(i2003_11_14_17_19_02584)=skolem0002(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c162, c133])).
% 0.48/0.68  cnf(c199,plain,skolem0002(i2003_11_14_17_19_02584)=skolem0001(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c194, symmetry])).
% 0.48/0.68  cnf(c203,plain,~cp(skolem0002(i2003_11_14_17_19_02584))|cp(skolem0001(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c199, c3])).
% 0.48/0.68  cnf(c58,plain,~cUnsatisfiable(X120)|cp(skolem0003(X120)),inference(split_conjunct,[status(thm)],[c52])).
% 0.48/0.68  cnf(c132,plain,cp(skolem0003(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c58, c18])).
% 0.48/0.68  fof(axiom_11,axiom,(![X]:(![Y]:(rs(X,Y)=>rf(X,Y)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_11)).
% 0.48/0.68  fof(c12,plain,(![X]:(![Y]:(~rs(X,Y)|rf(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_11])).
% 0.48/0.68  fof(c13,plain,(![X2]:(![X3]:(~rs(X2,X3)|rf(X2,X3)))),inference(variable_rename,[status(thm)],[c12])).
% 0.48/0.68  cnf(c14,plain,~rs(X97,X96)|rf(X97,X96),inference(split_conjunct,[status(thm)],[c13])).
% 0.48/0.68  cnf(c137,plain,rf(i2003_11_14_17_19_02584,skolem0002(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c136, c14])).
% 0.48/0.68  cnf(c57,plain,~cUnsatisfiable(X137)|rf(X137,skolem0003(X137)),inference(split_conjunct,[status(thm)],[c52])).
% 0.48/0.68  cnf(c147,plain,rf(i2003_11_14_17_19_02584,skolem0003(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c57, c18])).
% 0.48/0.68  fof(axiom_3,axiom,(![X]:(![Y]:(![Z]:((rf(X,Y)&rf(X,Z))=>Y=Z)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.48/0.68  fof(c43,plain,(![X]:(![Y]:(![Z]:((~rf(X,Y)|~rf(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.48/0.68  fof(c44,plain,(![X24]:(![X25]:(![X26]:((~rf(X24,X25)|~rf(X24,X26))|X25=X26)))),inference(variable_rename,[status(thm)],[c43])).
% 0.48/0.68  cnf(c45,plain,~rf(X183,X182)|~rf(X183,X184)|X182=X184,inference(split_conjunct,[status(thm)],[c44])).
% 0.48/0.68  cnf(c166,plain,~rf(i2003_11_14_17_19_02584,X240)|X240=skolem0003(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c45, c147])).
% 0.48/0.68  cnf(c214,plain,skolem0002(i2003_11_14_17_19_02584)=skolem0003(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c166, c137])).
% 0.48/0.68  cnf(c221,plain,skolem0003(i2003_11_14_17_19_02584)=skolem0002(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c214, symmetry])).
% 0.48/0.68  cnf(c224,plain,~cp(skolem0003(i2003_11_14_17_19_02584))|cp(skolem0002(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c221, c3])).
% 0.48/0.68  cnf(c370,plain,cp(skolem0002(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c224, c132])).
% 0.48/0.68  cnf(c374,plain,cp(skolem0001(i2003_11_14_17_19_02584)),inference(resolution,[status(thm)],[c370, c203])).
% 0.48/0.68  cnf(c375,plain,~cUnsatisfiable(i2003_11_14_17_19_02584),inference(resolution,[status(thm)],[c374, c54])).
% 0.48/0.68  cnf(c376,plain,$false,inference(resolution,[status(thm)],[c375, c18])).
% 0.48/0.68  % SZS output end CNFRefutation
% 0.48/0.68  
% 0.48/0.68  % Initial clauses    : 56
% 0.48/0.68  % Processed clauses  : 128
% 0.48/0.68  % Factors computed   : 4
% 0.48/0.68  % Resolvents computed: 246
% 0.48/0.68  % Tautologies deleted: 7
% 0.48/0.68  % Forward subsumed   : 96
% 0.48/0.68  % Backward subsumed  : 3
% 0.48/0.68  % -------- CPU Time ---------
% 0.48/0.68  % User time          : 0.300 s
% 0.48/0.68  % System time        : 0.014 s
% 0.48/0.68  % Total time         : 0.314 s
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