TSTP Solution File: SET060+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:39:01 EDT 2024
% Result : Theorem 0.49s 0.70s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.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 : Wed May 8 18:13:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.49/0.70 % Version: 1.5
% 0.49/0.70 % SZS status Theorem
% 0.49/0.70 % SZS output start CNFRefutation
% 0.49/0.70 fof(intersection,axiom,(![X]:(![Y]:(![Z]:(member(Z,intersection(X,Y))<=>(member(Z,X)&member(Z,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', intersection)).
% 0.49/0.70 fof(c192,plain,(![X]:(![Y]:(![Z]:((~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y)))&((~member(Z,X)|~member(Z,Y))|member(Z,intersection(X,Y))))))),inference(fof_nnf,[status(thm)],[intersection])).
% 0.49/0.70 fof(c193,plain,((![X]:(![Y]:(![Z]:(~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y))))))&(![X]:(![Y]:(![Z]:((~member(Z,X)|~member(Z,Y))|member(Z,intersection(X,Y))))))),inference(shift_quantors,[status(thm)],[c192])).
% 0.49/0.70 fof(c195,plain,(![X95]:(![X96]:(![X97]:(![X98]:(![X99]:(![X100]:((~member(X97,intersection(X95,X96))|(member(X97,X95)&member(X97,X96)))&((~member(X100,X98)|~member(X100,X99))|member(X100,intersection(X98,X99)))))))))),inference(shift_quantors,[status(thm)],[fof(c194,plain,((![X95]:(![X96]:(![X97]:(~member(X97,intersection(X95,X96))|(member(X97,X95)&member(X97,X96))))))&(![X98]:(![X99]:(![X100]:((~member(X100,X98)|~member(X100,X99))|member(X100,intersection(X98,X99))))))),inference(variable_rename,[status(thm)],[c193])).])).
% 0.49/0.70 fof(c196,plain,(![X95]:(![X96]:(![X97]:(![X98]:(![X99]:(![X100]:(((~member(X97,intersection(X95,X96))|member(X97,X95))&(~member(X97,intersection(X95,X96))|member(X97,X96)))&((~member(X100,X98)|~member(X100,X99))|member(X100,intersection(X98,X99)))))))))),inference(distribute,[status(thm)],[c195])).
% 0.49/0.70 cnf(c198,plain,~member(X257,intersection(X256,X255))|member(X257,X255),inference(split_conjunct,[status(thm)],[c196])).
% 0.49/0.70 fof(special_classes_lemma,conjecture,(![X]:(![Y]:(~member(Y,intersection(complement(X),X))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', special_classes_lemma)).
% 0.49/0.70 fof(c26,negated_conjecture,(~(![X]:(![Y]:(~member(Y,intersection(complement(X),X)))))),inference(assume_negation,[status(cth)],[special_classes_lemma])).
% 0.49/0.70 fof(c27,negated_conjecture,(~(![X]:(![Y]:~member(Y,intersection(complement(X),X))))),inference(fof_simplification,[status(thm)],[c26])).
% 0.49/0.70 fof(c28,negated_conjecture,(?[X]:(?[Y]:member(Y,intersection(complement(X),X)))),inference(fof_nnf,[status(thm)],[c27])).
% 0.49/0.70 fof(c29,negated_conjecture,(?[X2]:(?[X3]:member(X3,intersection(complement(X2),X2)))),inference(variable_rename,[status(thm)],[c28])).
% 0.49/0.70 fof(c30,negated_conjecture,member(skolem0002,intersection(complement(skolem0001),skolem0001)),inference(skolemize,[status(esa)],[c29])).
% 0.49/0.70 cnf(c31,negated_conjecture,member(skolem0002,intersection(complement(skolem0001),skolem0001)),inference(split_conjunct,[status(thm)],[c30])).
% 0.49/0.70 cnf(c628,plain,member(skolem0002,skolem0001),inference(resolution,[status(thm)],[c31, c198])).
% 0.49/0.70 fof(complement,axiom,(![X]:(![Z]:(member(Z,complement(X))<=>(member(Z,universal_class)&(~member(Z,X)))))),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', complement)).
% 0.49/0.70 fof(c183,plain,(![X]:(![Z]:(member(Z,complement(X))<=>(member(Z,universal_class)&~member(Z,X))))),inference(fof_simplification,[status(thm)],[complement])).
% 0.49/0.70 fof(c184,plain,(![X]:(![Z]:((~member(Z,complement(X))|(member(Z,universal_class)&~member(Z,X)))&((~member(Z,universal_class)|member(Z,X))|member(Z,complement(X)))))),inference(fof_nnf,[status(thm)],[c183])).
% 0.49/0.70 fof(c185,plain,((![X]:(![Z]:(~member(Z,complement(X))|(member(Z,universal_class)&~member(Z,X)))))&(![X]:(![Z]:((~member(Z,universal_class)|member(Z,X))|member(Z,complement(X)))))),inference(shift_quantors,[status(thm)],[c184])).
% 0.49/0.70 fof(c187,plain,(![X91]:(![X92]:(![X93]:(![X94]:((~member(X92,complement(X91))|(member(X92,universal_class)&~member(X92,X91)))&((~member(X94,universal_class)|member(X94,X93))|member(X94,complement(X93)))))))),inference(shift_quantors,[status(thm)],[fof(c186,plain,((![X91]:(![X92]:(~member(X92,complement(X91))|(member(X92,universal_class)&~member(X92,X91)))))&(![X93]:(![X94]:((~member(X94,universal_class)|member(X94,X93))|member(X94,complement(X93)))))),inference(variable_rename,[status(thm)],[c185])).])).
% 0.49/0.70 fof(c188,plain,(![X91]:(![X92]:(![X93]:(![X94]:(((~member(X92,complement(X91))|member(X92,universal_class))&(~member(X92,complement(X91))|~member(X92,X91)))&((~member(X94,universal_class)|member(X94,X93))|member(X94,complement(X93)))))))),inference(distribute,[status(thm)],[c187])).
% 0.49/0.70 cnf(c190,plain,~member(X193,complement(X194))|~member(X193,X194),inference(split_conjunct,[status(thm)],[c188])).
% 0.49/0.70 cnf(c197,plain,~member(X251,intersection(X250,X249))|member(X251,X250),inference(split_conjunct,[status(thm)],[c196])).
% 0.49/0.70 cnf(c627,plain,member(skolem0002,complement(skolem0001)),inference(resolution,[status(thm)],[c31, c197])).
% 0.49/0.70 cnf(c643,plain,~member(skolem0002,skolem0001),inference(resolution,[status(thm)],[c627, c190])).
% 0.49/0.70 cnf(c647,plain,$false,inference(resolution,[status(thm)],[c643, c628])).
% 0.49/0.70 % SZS output end CNFRefutation
% 0.49/0.70
% 0.49/0.70 % Initial clauses : 119
% 0.49/0.70 % Processed clauses : 90
% 0.49/0.70 % Factors computed : 10
% 0.49/0.70 % Resolvents computed: 379
% 0.49/0.70 % Tautologies deleted: 4
% 0.49/0.70 % Forward subsumed : 35
% 0.49/0.70 % Backward subsumed : 1
% 0.49/0.70 % -------- CPU Time ---------
% 0.49/0.70 % User time : 0.344 s
% 0.49/0.70 % System time : 0.014 s
% 0.49/0.70 % Total time : 0.358 s
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