%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET063+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:39:03 EDT 2024
% Result : Theorem 0.67s 0.88s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET063+4 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:51:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.67/0.88 % Version: 1.5
% 0.67/0.88 % SZS status Theorem
% 0.67/0.88 % SZS output start CNFRefutation
% 0.67/0.88 fof(thI17,conjecture,(![A]:equal_set(intersection(A,empty_set),empty_set)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI17)).
% 0.67/0.88 fof(c11,negated_conjecture,(~(![A]:equal_set(intersection(A,empty_set),empty_set))),inference(assume_negation,[status(cth)],[thI17])).
% 0.67/0.88 fof(c12,negated_conjecture,(?[A]:~equal_set(intersection(A,empty_set),empty_set)),inference(fof_nnf,[status(thm)],[c11])).
% 0.67/0.88 fof(c13,negated_conjecture,(?[X2]:~equal_set(intersection(X2,empty_set),empty_set)),inference(variable_rename,[status(thm)],[c12])).
% 0.67/0.88 fof(c14,negated_conjecture,~equal_set(intersection(skolem0001,empty_set),empty_set),inference(skolemize,[status(esa)],[c13])).
% 0.67/0.88 cnf(c15,negated_conjecture,~equal_set(intersection(skolem0001,empty_set),empty_set),inference(split_conjunct,[status(thm)],[c14])).
% 0.67/0.88 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.67/0.88 fof(c57,plain,(![X]:~member(X,empty_set)),inference(fof_simplification,[status(thm)],[empty_set])).
% 0.67/0.88 fof(c58,plain,(![X31]:~member(X31,empty_set)),inference(variable_rename,[status(thm)],[c57])).
% 0.67/0.88 cnf(c59,plain,~member(X59,empty_set),inference(split_conjunct,[status(thm)],[c58])).
% 0.67/0.88 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.67/0.88 fof(c90,plain,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[subset])).
% 0.67/0.88 fof(c91,plain,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c90])).
% 0.67/0.88 fof(c92,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((?[X57]:(member(X57,X55)&~member(X57,X56)))|subset(X55,X56))))),inference(variable_rename,[status(thm)],[c91])).
% 0.67/0.88 fof(c94,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56)))))))),inference(shift_quantors,[status(thm)],[fof(c93,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56))))),inference(skolemize,[status(esa)],[c92])).])).
% 0.67/0.88 fof(c95,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)|subset(X55,X56))&(~member(skolem0004(X55,X56),X56)|subset(X55,X56))))))))),inference(distribute,[status(thm)],[c94])).
% 0.67/0.88 cnf(c97,plain,member(skolem0004(X145,X146),X145)|subset(X145,X146),inference(split_conjunct,[status(thm)],[c95])).
% 0.67/0.88 cnf(c140,plain,subset(empty_set,X147),inference(resolution,[status(thm)],[c97, c59])).
% 0.67/0.88 fof(equal_set,axiom,(![A]:(![B]:(equal_set(A,B)<=>(subset(A,B)&subset(B,A))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.67/0.88 fof(c82,plain,(![A]:(![B]:((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(fof_nnf,[status(thm)],[equal_set])).
% 0.67/0.88 fof(c83,plain,((![A]:(![B]:(~equal_set(A,B)|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(shift_quantors,[status(thm)],[c82])).
% 0.67/0.88 fof(c85,plain,(![X48]:(![X49]:(![X50]:(![X51]:((~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(shift_quantors,[status(thm)],[fof(c84,plain,((![X48]:(![X49]:(~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))))&(![X50]:(![X51]:((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))),inference(variable_rename,[status(thm)],[c83])).])).
% 0.67/0.88 fof(c86,plain,(![X48]:(![X49]:(![X50]:(![X51]:(((~equal_set(X48,X49)|subset(X48,X49))&(~equal_set(X48,X49)|subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(distribute,[status(thm)],[c85])).
% 0.67/0.88 cnf(c89,plain,~subset(X174,X173)|~subset(X173,X174)|equal_set(X174,X173),inference(split_conjunct,[status(thm)],[c86])).
% 0.67/0.88 cnf(c166,plain,~subset(X184,empty_set)|equal_set(X184,empty_set),inference(resolution,[status(thm)],[c89, c140])).
% 0.67/0.88 cnf(c98,plain,~member(skolem0004(X158,X159),X159)|subset(X158,X159),inference(split_conjunct,[status(thm)],[c95])).
% 0.67/0.88 fof(intersection,axiom,(![X]:(![A]:(![B]:(member(X,intersection(A,B))<=>(member(X,A)&member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.67/0.88 fof(c68,plain,(![X]:(![A]:(![B]:((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&((~member(X,A)|~member(X,B))|member(X,intersection(A,B))))))),inference(fof_nnf,[status(thm)],[intersection])).
% 0.67/0.88 fof(c69,plain,((![X]:(![A]:(![B]:(~member(X,intersection(A,B))|(member(X,A)&member(X,B))))))&(![X]:(![A]:(![B]:((~member(X,A)|~member(X,B))|member(X,intersection(A,B))))))),inference(shift_quantors,[status(thm)],[c68])).
% 0.67/0.88 fof(c71,plain,(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:((~member(X38,intersection(X39,X40))|(member(X38,X39)&member(X38,X40)))&((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43)))))))))),inference(shift_quantors,[status(thm)],[fof(c70,plain,((![X38]:(![X39]:(![X40]:(~member(X38,intersection(X39,X40))|(member(X38,X39)&member(X38,X40))))))&(![X41]:(![X42]:(![X43]:((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43))))))),inference(variable_rename,[status(thm)],[c69])).])).
% 0.67/0.88 fof(c72,plain,(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:(((~member(X38,intersection(X39,X40))|member(X38,X39))&(~member(X38,intersection(X39,X40))|member(X38,X40)))&((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43)))))))))),inference(distribute,[status(thm)],[c71])).
% 0.67/0.88 cnf(c74,plain,~member(X144,intersection(X143,X142))|member(X144,X142),inference(split_conjunct,[status(thm)],[c72])).
% 0.67/0.88 cnf(c136,plain,subset(intersection(X521,X520),X519)|member(skolem0004(intersection(X521,X520),X519),X520),inference(resolution,[status(thm)],[c97, c74])).
% 0.67/0.88 cnf(c995,plain,subset(intersection(X522,X523),X523),inference(resolution,[status(thm)],[c136, c98])).
% 0.67/0.88 cnf(c1008,plain,equal_set(intersection(X542,empty_set),empty_set),inference(resolution,[status(thm)],[c995, c166])).
% 0.67/0.88 cnf(c1078,plain,$false,inference(resolution,[status(thm)],[c1008, c15])).
% 0.67/0.88 % SZS output end CNFRefutation
% 0.67/0.88
% 0.67/0.88 % Initial clauses : 44
% 0.67/0.88 % Processed clauses : 152
% 0.67/0.88 % Factors computed : 10
% 0.67/0.88 % Resolvents computed: 972
% 0.67/0.88 % Tautologies deleted: 2
% 0.67/0.88 % Forward subsumed : 105
% 0.67/0.88 % Backward subsumed : 1
% 0.67/0.88 % -------- CPU Time ---------
% 0.67/0.88 % User time : 0.504 s
% 0.67/0.88 % System time : 0.015 s
% 0.67/0.88 % Total time : 0.519 s
%------------------------------------------------------------------------------