%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET626+3 : 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 17:39:52 EDT 2024
% Result : Theorem 0.40s 0.61s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET626+3 : TPTP v8.1.2. Released v2.2.0.
% 0.15/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.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 : Wed May 8 19:39:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.40/0.61 % Version: 1.5
% 0.40/0.61 % SZS status Theorem
% 0.40/0.61 % SZS output start CNFRefutation
% 0.40/0.61 fof(prove_th102,conjecture,(![B]:(![C]:(![D]:(intersect(B,intersection(C,D))=>intersect(B,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th102)).
% 0.40/0.61 fof(c3,negated_conjecture,(~(![B]:(![C]:(![D]:(intersect(B,intersection(C,D))=>intersect(B,C)))))),inference(assume_negation,[status(cth)],[prove_th102])).
% 0.40/0.61 fof(c4,negated_conjecture,(?[B]:(?[C]:(?[D]:(intersect(B,intersection(C,D))&~intersect(B,C))))),inference(fof_nnf,[status(thm)],[c3])).
% 0.40/0.61 fof(c5,negated_conjecture,(?[B]:(?[C]:((?[D]:intersect(B,intersection(C,D)))&~intersect(B,C)))),inference(shift_quantors,[status(thm)],[c4])).
% 0.40/0.61 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:intersect(X2,intersection(X3,X4)))&~intersect(X2,X3)))),inference(variable_rename,[status(thm)],[c5])).
% 0.40/0.61 fof(c7,negated_conjecture,(intersect(skolem0001,intersection(skolem0002,skolem0003))&~intersect(skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c6])).
% 0.40/0.61 cnf(c9,negated_conjecture,~intersect(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c7])).
% 0.40/0.61 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.40/0.61 fof(c20,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.40/0.61 fof(c21,plain,(![X12]:(![X13]:(~intersect(X12,X13)|intersect(X13,X12)))),inference(variable_rename,[status(thm)],[c20])).
% 0.40/0.61 cnf(c22,plain,~intersect(X33,X32)|intersect(X32,X33),inference(split_conjunct,[status(thm)],[c21])).
% 0.40/0.61 fof(intersection_defn,axiom,(![B]:(![C]:(![D]:(member(D,intersection(B,C))<=>(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.40/0.61 fof(c34,plain,(![B]:(![C]:(![D]:((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(fof_nnf,[status(thm)],[intersection_defn])).
% 0.40/0.61 fof(c35,plain,((![B]:(![C]:(![D]:(~member(D,intersection(B,C))|(member(D,B)&member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(shift_quantors,[status(thm)],[c34])).
% 0.40/0.61 fof(c37,plain,(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~member(X24,intersection(X22,X23))|(member(X24,X22)&member(X24,X23)))&((~member(X27,X25)|~member(X27,X26))|member(X27,intersection(X25,X26)))))))))),inference(shift_quantors,[status(thm)],[fof(c36,plain,((![X22]:(![X23]:(![X24]:(~member(X24,intersection(X22,X23))|(member(X24,X22)&member(X24,X23))))))&(![X25]:(![X26]:(![X27]:((~member(X27,X25)|~member(X27,X26))|member(X27,intersection(X25,X26))))))),inference(variable_rename,[status(thm)],[c35])).])).
% 0.40/0.61 fof(c38,plain,(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(((~member(X24,intersection(X22,X23))|member(X24,X22))&(~member(X24,intersection(X22,X23))|member(X24,X23)))&((~member(X27,X25)|~member(X27,X26))|member(X27,intersection(X25,X26)))))))))),inference(distribute,[status(thm)],[c37])).
% 0.40/0.61 cnf(c39,plain,~member(X54,intersection(X53,X52))|member(X54,X53),inference(split_conjunct,[status(thm)],[c38])).
% 0.40/0.61 cnf(c8,negated_conjecture,intersect(skolem0001,intersection(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.40/0.61 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)).
% 0.40/0.61 fof(c25,plain,(![B]:(![C]:((~intersect(B,C)|(?[D]:(member(D,B)&member(D,C))))&((![D]:(~member(D,B)|~member(D,C)))|intersect(B,C))))),inference(fof_nnf,[status(thm)],[intersect_defn])).
% 0.40/0.61 fof(c26,plain,((![B]:(![C]:(~intersect(B,C)|(?[D]:(member(D,B)&member(D,C))))))&(![B]:(![C]:((![D]:(~member(D,B)|~member(D,C)))|intersect(B,C))))),inference(shift_quantors,[status(thm)],[c25])).
% 0.40/0.61 fof(c27,plain,((![X16]:(![X17]:(~intersect(X16,X17)|(?[X18]:(member(X18,X16)&member(X18,X17))))))&(![X19]:(![X20]:((![X21]:(~member(X21,X19)|~member(X21,X20)))|intersect(X19,X20))))),inference(variable_rename,[status(thm)],[c26])).
% 0.40/0.61 fof(c29,plain,(![X16]:(![X17]:(![X19]:(![X20]:(![X21]:((~intersect(X16,X17)|(member(skolem0005(X16,X17),X16)&member(skolem0005(X16,X17),X17)))&((~member(X21,X19)|~member(X21,X20))|intersect(X19,X20)))))))),inference(shift_quantors,[status(thm)],[fof(c28,plain,((![X16]:(![X17]:(~intersect(X16,X17)|(member(skolem0005(X16,X17),X16)&member(skolem0005(X16,X17),X17)))))&(![X19]:(![X20]:((![X21]:(~member(X21,X19)|~member(X21,X20)))|intersect(X19,X20))))),inference(skolemize,[status(esa)],[c27])).])).
% 0.40/0.61 fof(c30,plain,(![X16]:(![X17]:(![X19]:(![X20]:(![X21]:(((~intersect(X16,X17)|member(skolem0005(X16,X17),X16))&(~intersect(X16,X17)|member(skolem0005(X16,X17),X17)))&((~member(X21,X19)|~member(X21,X20))|intersect(X19,X20)))))))),inference(distribute,[status(thm)],[c29])).
% 0.40/0.61 cnf(c32,plain,~intersect(X50,X51)|member(skolem0005(X50,X51),X51),inference(split_conjunct,[status(thm)],[c30])).
% 0.40/0.61 cnf(c55,plain,member(skolem0005(skolem0001,intersection(skolem0002,skolem0003)),intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c32, c8])).
% 0.40/0.61 cnf(c161,plain,member(skolem0005(skolem0001,intersection(skolem0002,skolem0003)),skolem0002),inference(resolution,[status(thm)],[c55, c39])).
% 0.40/0.61 cnf(c33,plain,~member(X70,X68)|~member(X70,X69)|intersect(X68,X69),inference(split_conjunct,[status(thm)],[c30])).
% 0.40/0.61 cnf(c31,plain,~intersect(X48,X49)|member(skolem0005(X48,X49),X48),inference(split_conjunct,[status(thm)],[c30])).
% 0.40/0.61 cnf(c53,plain,member(skolem0005(skolem0001,intersection(skolem0002,skolem0003)),skolem0001),inference(resolution,[status(thm)],[c31, c8])).
% 0.40/0.61 cnf(c66,plain,~member(skolem0005(skolem0001,intersection(skolem0002,skolem0003)),X123)|intersect(X123,skolem0001),inference(resolution,[status(thm)],[c53, c33])).
% 0.40/0.61 cnf(c258,plain,intersect(skolem0002,skolem0001),inference(resolution,[status(thm)],[c66, c161])).
% 0.40/0.61 cnf(c264,plain,intersect(skolem0001,skolem0002),inference(resolution,[status(thm)],[c258, c22])).
% 0.40/0.61 cnf(c273,plain,$false,inference(resolution,[status(thm)],[c264, c9])).
% 0.40/0.61 % SZS output end CNFRefutation
% 0.40/0.61
% 0.40/0.61 % Initial clauses : 20
% 0.40/0.61 % Processed clauses : 63
% 0.40/0.61 % Factors computed : 7
% 0.40/0.61 % Resolvents computed: 229
% 0.40/0.61 % Tautologies deleted: 2
% 0.40/0.61 % Forward subsumed : 32
% 0.40/0.61 % Backward subsumed : 0
% 0.40/0.61 % -------- CPU Time ---------
% 0.40/0.61 % User time : 0.229 s
% 0.40/0.61 % System time : 0.018 s
% 0.40/0.61 % Total time : 0.247 s
%------------------------------------------------------------------------------