%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:39:53 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 18:29:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % Version: 1.5
% 0.21/0.55 % SZS status Theorem
% 0.21/0.55 % SZS output start CNFRefutation
% 0.21/0.55 fof(prove_th113,conjecture,(![B]:(![C]:(![D]:(intersect(B,difference(C,D))=>intersect(B,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th113)).
% 0.21/0.55 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:(intersect(B,difference(C,D))=>intersect(B,C)))))),inference(assume_negation,[status(cth)],[prove_th113])).
% 0.21/0.55 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:(intersect(B,difference(C,D))&~intersect(B,C))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.21/0.55 fof(c2,negated_conjecture,(?[B]:(?[C]:((?[D]:intersect(B,difference(C,D)))&~intersect(B,C)))),inference(shift_quantors,[status(thm)],[c1])).
% 0.21/0.55 fof(c3,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:intersect(X2,difference(X3,X4)))&~intersect(X2,X3)))),inference(variable_rename,[status(thm)],[c2])).
% 0.21/0.55 fof(c4,negated_conjecture,(intersect(skolem0001,difference(skolem0002,skolem0003))&~intersect(skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c3])).
% 0.21/0.55 cnf(c6,negated_conjecture,~intersect(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.21/0.55 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.21/0.55 fof(c7,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.21/0.55 fof(c8,plain,(![X5]:(![X6]:(~intersect(X5,X6)|intersect(X6,X5)))),inference(variable_rename,[status(thm)],[c7])).
% 0.21/0.55 cnf(c9,plain,~intersect(X20,X19)|intersect(X19,X20),inference(split_conjunct,[status(thm)],[c8])).
% 0.21/0.55 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.21/0.55 fof(c19,plain,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,[status(thm)],[difference_defn])).
% 0.21/0.55 fof(c20,plain,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,[status(thm)],[c19])).
% 0.21/0.55 fof(c21,plain,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,[status(thm)],[c20])).
% 0.21/0.55 fof(c23,plain,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((~member(X15,difference(X13,X14))|(member(X15,X13)&~member(X15,X14)))&((~member(X18,X16)|member(X18,X17))|member(X18,difference(X16,X17)))))))))),inference(shift_quantors,[status(thm)],[fof(c22,plain,((![X13]:(![X14]:(![X15]:(~member(X15,difference(X13,X14))|(member(X15,X13)&~member(X15,X14))))))&(![X16]:(![X17]:(![X18]:((~member(X18,X16)|member(X18,X17))|member(X18,difference(X16,X17))))))),inference(variable_rename,[status(thm)],[c21])).])).
% 0.21/0.55 fof(c24,plain,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(((~member(X15,difference(X13,X14))|member(X15,X13))&(~member(X15,difference(X13,X14))|~member(X15,X14)))&((~member(X18,X16)|member(X18,X17))|member(X18,difference(X16,X17)))))))))),inference(distribute,[status(thm)],[c23])).
% 0.21/0.55 cnf(c25,plain,~member(X25,difference(X27,X26))|member(X25,X27),inference(split_conjunct,[status(thm)],[c24])).
% 0.21/0.55 cnf(c5,negated_conjecture,intersect(skolem0001,difference(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c4])).
% 0.21/0.55 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)).
% 0.21/0.55 fof(c10,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])).
% 0.21/0.55 fof(c11,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)],[c10])).
% 0.21/0.55 fof(c12,plain,((![X7]:(![X8]:(~intersect(X7,X8)|(?[X9]:(member(X9,X7)&member(X9,X8))))))&(![X10]:(![X11]:((![X12]:(~member(X12,X10)|~member(X12,X11)))|intersect(X10,X11))))),inference(variable_rename,[status(thm)],[c11])).
% 0.21/0.55 fof(c14,plain,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:((~intersect(X7,X8)|(member(skolem0004(X7,X8),X7)&member(skolem0004(X7,X8),X8)))&((~member(X12,X10)|~member(X12,X11))|intersect(X10,X11)))))))),inference(shift_quantors,[status(thm)],[fof(c13,plain,((![X7]:(![X8]:(~intersect(X7,X8)|(member(skolem0004(X7,X8),X7)&member(skolem0004(X7,X8),X8)))))&(![X10]:(![X11]:((![X12]:(~member(X12,X10)|~member(X12,X11)))|intersect(X10,X11))))),inference(skolemize,[status(esa)],[c12])).])).
% 0.21/0.55 fof(c15,plain,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:(((~intersect(X7,X8)|member(skolem0004(X7,X8),X7))&(~intersect(X7,X8)|member(skolem0004(X7,X8),X8)))&((~member(X12,X10)|~member(X12,X11))|intersect(X10,X11)))))))),inference(distribute,[status(thm)],[c14])).
% 0.21/0.55 cnf(c17,plain,~intersect(X24,X23)|member(skolem0004(X24,X23),X23),inference(split_conjunct,[status(thm)],[c15])).
% 0.21/0.55 cnf(c32,plain,member(skolem0004(skolem0001,difference(skolem0002,skolem0003)),difference(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c17, c5])).
% 0.21/0.55 cnf(c54,plain,member(skolem0004(skolem0001,difference(skolem0002,skolem0003)),skolem0002),inference(resolution,[status(thm)],[c32, c25])).
% 0.21/0.55 cnf(c18,plain,~member(X32,X31)|~member(X32,X33)|intersect(X31,X33),inference(split_conjunct,[status(thm)],[c15])).
% 0.21/0.55 cnf(c16,plain,~intersect(X22,X21)|member(skolem0004(X22,X21),X22),inference(split_conjunct,[status(thm)],[c15])).
% 0.21/0.55 cnf(c30,plain,member(skolem0004(skolem0001,difference(skolem0002,skolem0003)),skolem0001),inference(resolution,[status(thm)],[c16, c5])).
% 0.21/0.55 cnf(c37,plain,~member(skolem0004(skolem0001,difference(skolem0002,skolem0003)),X41)|intersect(X41,skolem0001),inference(resolution,[status(thm)],[c30, c18])).
% 0.21/0.55 cnf(c86,plain,intersect(skolem0002,skolem0001),inference(resolution,[status(thm)],[c37, c54])).
% 0.21/0.55 cnf(c90,plain,intersect(skolem0001,skolem0002),inference(resolution,[status(thm)],[c86, c9])).
% 0.21/0.55 cnf(c92,plain,$false,inference(resolution,[status(thm)],[c90, c6])).
% 0.21/0.55 % SZS output end CNFRefutation
% 0.21/0.55
% 0.21/0.55 % Initial clauses : 9
% 0.21/0.55 % Processed clauses : 28
% 0.21/0.55 % Factors computed : 1
% 0.21/0.55 % Resolvents computed: 66
% 0.21/0.55 % Tautologies deleted: 0
% 0.21/0.55 % Forward subsumed : 12
% 0.21/0.55 % Backward subsumed : 0
% 0.21/0.55 % -------- CPU Time ---------
% 0.21/0.55 % User time : 0.176 s
% 0.21/0.55 % System time : 0.019 s
% 0.21/0.55 % Total time : 0.196 s
%------------------------------------------------------------------------------