%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 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 17:39:48 EDT 2024
% Result : Theorem 0.70s 0.88s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n018.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 : Wed May 8 18:24:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.70/0.88 % Version: 1.5
% 0.70/0.88 % SZS status Theorem
% 0.70/0.88 % SZS output start CNFRefutation
% 0.70/0.88 fof(thI29,conjecture,(![E]:equal_set(difference(E,E),empty_set)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI29)).
% 0.70/0.88 fof(c11,negated_conjecture,(~(![E]:equal_set(difference(E,E),empty_set))),inference(assume_negation,[status(cth)],[thI29])).
% 0.70/0.88 fof(c12,negated_conjecture,(?[E]:~equal_set(difference(E,E),empty_set)),inference(fof_nnf,[status(thm)],[c11])).
% 0.70/0.88 fof(c13,negated_conjecture,(?[X2]:~equal_set(difference(X2,X2),empty_set)),inference(variable_rename,[status(thm)],[c12])).
% 0.70/0.88 fof(c14,negated_conjecture,~equal_set(difference(skolem0001,skolem0001),empty_set),inference(skolemize,[status(esa)],[c13])).
% 0.70/0.88 cnf(c15,negated_conjecture,~equal_set(difference(skolem0001,skolem0001),empty_set),inference(split_conjunct,[status(thm)],[c14])).
% 0.70/0.88 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.70/0.88 fof(c57,plain,(![X]:~member(X,empty_set)),inference(fof_simplification,[status(thm)],[empty_set])).
% 0.70/0.88 fof(c58,plain,(![X31]:~member(X31,empty_set)),inference(variable_rename,[status(thm)],[c57])).
% 0.70/0.88 cnf(c59,plain,~member(X59,empty_set),inference(split_conjunct,[status(thm)],[c58])).
% 0.70/0.88 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)).
% 0.70/0.88 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])).
% 0.70/0.88 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])).
% 0.70/0.88 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])).
% 0.70/0.88 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])).])).
% 0.70/0.88 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])).
% 0.70/0.88 cnf(c97,plain,member(skolem0004(X146,X145),X146)|subset(X146,X145),inference(split_conjunct,[status(thm)],[c95])).
% 0.70/0.88 cnf(c139,plain,subset(empty_set,X147),inference(resolution,[status(thm)],[c97, c59])).
% 0.70/0.88 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)).
% 0.70/0.88 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])).
% 0.70/0.88 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])).
% 0.70/0.88 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])).])).
% 0.70/0.88 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])).
% 0.70/0.88 cnf(c89,plain,~subset(X174,X173)|~subset(X173,X174)|equal_set(X174,X173),inference(split_conjunct,[status(thm)],[c86])).
% 0.70/0.88 cnf(c165,plain,~subset(X184,empty_set)|equal_set(X184,empty_set),inference(resolution,[status(thm)],[c89, c139])).
% 0.70/0.88 fof(difference,axiom,(![B]:(![A]:(![E]:(member(B,difference(E,A))<=>(member(B,E)&(~member(B,A))))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.70/0.88 fof(c48,plain,(![B]:(![A]:(![E]:(member(B,difference(E,A))<=>(member(B,E)&~member(B,A)))))),inference(fof_simplification,[status(thm)],[difference])).
% 0.70/0.88 fof(c49,plain,(![B]:(![A]:(![E]:((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&((~member(B,E)|member(B,A))|member(B,difference(E,A))))))),inference(fof_nnf,[status(thm)],[c48])).
% 0.70/0.88 fof(c50,plain,((![B]:(![A]:(![E]:(~member(B,difference(E,A))|(member(B,E)&~member(B,A))))))&(![B]:(![A]:(![E]:((~member(B,E)|member(B,A))|member(B,difference(E,A))))))),inference(shift_quantors,[status(thm)],[c49])).
% 0.70/0.88 fof(c52,plain,(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:((~member(X25,difference(X27,X26))|(member(X25,X27)&~member(X25,X26)))&((~member(X28,X30)|member(X28,X29))|member(X28,difference(X30,X29)))))))))),inference(shift_quantors,[status(thm)],[fof(c51,plain,((![X25]:(![X26]:(![X27]:(~member(X25,difference(X27,X26))|(member(X25,X27)&~member(X25,X26))))))&(![X28]:(![X29]:(![X30]:((~member(X28,X30)|member(X28,X29))|member(X28,difference(X30,X29))))))),inference(variable_rename,[status(thm)],[c50])).])).
% 0.70/0.88 fof(c53,plain,(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(((~member(X25,difference(X27,X26))|member(X25,X27))&(~member(X25,difference(X27,X26))|~member(X25,X26)))&((~member(X28,X30)|member(X28,X29))|member(X28,difference(X30,X29)))))))))),inference(distribute,[status(thm)],[c52])).
% 0.70/0.88 cnf(c54,plain,~member(X104,difference(X105,X106))|member(X104,X105),inference(split_conjunct,[status(thm)],[c53])).
% 0.70/0.88 cnf(c138,plain,subset(difference(X544,X546),X545)|member(skolem0004(difference(X544,X546),X545),X544),inference(resolution,[status(thm)],[c97, c54])).
% 0.70/0.88 cnf(c55,plain,~member(X107,difference(X108,X109))|~member(X107,X109),inference(split_conjunct,[status(thm)],[c53])).
% 0.70/0.88 cnf(c140,plain,subset(difference(X554,X556),X555)|~member(skolem0004(difference(X554,X556),X555),X556),inference(resolution,[status(thm)],[c97, c55])).
% 0.70/0.88 cnf(c1110,plain,subset(difference(X558,X558),X557),inference(resolution,[status(thm)],[c140, c138])).
% 0.70/0.88 cnf(c1121,plain,equal_set(difference(X559,X559),empty_set),inference(resolution,[status(thm)],[c1110, c165])).
% 0.70/0.88 cnf(c1122,plain,$false,inference(resolution,[status(thm)],[c1121, c15])).
% 0.70/0.88 % SZS output end CNFRefutation
% 0.70/0.88
% 0.70/0.88 % Initial clauses : 44
% 0.70/0.88 % Processed clauses : 155
% 0.70/0.88 % Factors computed : 10
% 0.70/0.88 % Resolvents computed: 1017
% 0.70/0.88 % Tautologies deleted: 2
% 0.70/0.88 % Forward subsumed : 109
% 0.70/0.88 % Backward subsumed : 1
% 0.70/0.88 % -------- CPU Time ---------
% 0.70/0.88 % User time : 0.501 s
% 0.70/0.88 % System time : 0.018 s
% 0.70/0.88 % Total time : 0.519 s
%------------------------------------------------------------------------------