%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:39:45 EDT 2024
% Result : Theorem 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed May 8 18:56:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.41/0.59 % Version: 1.5
% 0.41/0.59 % SZS status Theorem
% 0.41/0.59 % SZS output start CNFRefutation
% 0.41/0.59 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.41/0.59 fof(c8,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.41/0.59 fof(c9,plain,(![X5]:(![X6]:(~intersect(X5,X6)|intersect(X6,X5)))),inference(variable_rename,[status(thm)],[c8])).
% 0.41/0.59 cnf(c10,plain,~intersect(X17,X18)|intersect(X18,X17),inference(split_conjunct,[status(thm)],[c9])).
% 0.41/0.59 fof(prove_th17,conjecture,(![B]:(![C]:((![D]:(member(D,B)=>(~member(D,C))))=>disjoint(B,C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th17)).
% 0.41/0.59 fof(c0,negated_conjecture,(~(![B]:(![C]:((![D]:(member(D,B)=>(~member(D,C))))=>disjoint(B,C))))),inference(assume_negation,[status(cth)],[prove_th17])).
% 0.41/0.59 fof(c1,negated_conjecture,(~(![B]:(![C]:((![D]:(member(D,B)=>~member(D,C)))=>disjoint(B,C))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.41/0.59 fof(c2,negated_conjecture,(?[B]:(?[C]:((![D]:(~member(D,B)|~member(D,C)))&~disjoint(B,C)))),inference(fof_nnf,[status(thm)],[c1])).
% 0.41/0.59 fof(c3,negated_conjecture,(?[X2]:(?[X3]:((![X4]:(~member(X4,X2)|~member(X4,X3)))&~disjoint(X2,X3)))),inference(variable_rename,[status(thm)],[c2])).
% 0.41/0.59 fof(c5,negated_conjecture,(![X4]:((~member(X4,skolem0001)|~member(X4,skolem0002))&~disjoint(skolem0001,skolem0002))),inference(shift_quantors,[status(thm)],[fof(c4,negated_conjecture,((![X4]:(~member(X4,skolem0001)|~member(X4,skolem0002)))&~disjoint(skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c3])).])).
% 0.41/0.59 cnf(c7,negated_conjecture,~disjoint(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c5])).
% 0.41/0.59 fof(disjoint_defn,axiom,(![B]:(![C]:(disjoint(B,C)<=>(~intersect(B,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjoint_defn)).
% 0.41/0.59 fof(c11,plain,(![B]:(![C]:(disjoint(B,C)<=>~intersect(B,C)))),inference(fof_simplification,[status(thm)],[disjoint_defn])).
% 0.41/0.59 fof(c12,plain,(![B]:(![C]:((~disjoint(B,C)|~intersect(B,C))&(intersect(B,C)|disjoint(B,C))))),inference(fof_nnf,[status(thm)],[c11])).
% 0.41/0.59 fof(c13,plain,((![B]:(![C]:(~disjoint(B,C)|~intersect(B,C))))&(![B]:(![C]:(intersect(B,C)|disjoint(B,C))))),inference(shift_quantors,[status(thm)],[c12])).
% 0.41/0.59 fof(c15,plain,(![X7]:(![X8]:(![X9]:(![X10]:((~disjoint(X7,X8)|~intersect(X7,X8))&(intersect(X9,X10)|disjoint(X9,X10))))))),inference(shift_quantors,[status(thm)],[fof(c14,plain,((![X7]:(![X8]:(~disjoint(X7,X8)|~intersect(X7,X8))))&(![X9]:(![X10]:(intersect(X9,X10)|disjoint(X9,X10))))),inference(variable_rename,[status(thm)],[c13])).])).
% 0.41/0.59 cnf(c17,plain,intersect(X22,X21)|disjoint(X22,X21),inference(split_conjunct,[status(thm)],[c15])).
% 0.41/0.59 cnf(c29,plain,intersect(skolem0001,skolem0002),inference(resolution,[status(thm)],[c17, c7])).
% 0.41/0.59 cnf(c30,plain,intersect(skolem0002,skolem0001),inference(resolution,[status(thm)],[c29, c10])).
% 0.41/0.59 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)).
% 0.41/0.59 fof(c18,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])).
% 0.41/0.59 fof(c19,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)],[c18])).
% 0.41/0.59 fof(c20,plain,((![X11]:(![X12]:(~intersect(X11,X12)|(?[X13]:(member(X13,X11)&member(X13,X12))))))&(![X14]:(![X15]:((![X16]:(~member(X16,X14)|~member(X16,X15)))|intersect(X14,X15))))),inference(variable_rename,[status(thm)],[c19])).
% 0.41/0.59 fof(c22,plain,(![X11]:(![X12]:(![X14]:(![X15]:(![X16]:((~intersect(X11,X12)|(member(skolem0003(X11,X12),X11)&member(skolem0003(X11,X12),X12)))&((~member(X16,X14)|~member(X16,X15))|intersect(X14,X15)))))))),inference(shift_quantors,[status(thm)],[fof(c21,plain,((![X11]:(![X12]:(~intersect(X11,X12)|(member(skolem0003(X11,X12),X11)&member(skolem0003(X11,X12),X12)))))&(![X14]:(![X15]:((![X16]:(~member(X16,X14)|~member(X16,X15)))|intersect(X14,X15))))),inference(skolemize,[status(esa)],[c20])).])).
% 0.41/0.59 fof(c23,plain,(![X11]:(![X12]:(![X14]:(![X15]:(![X16]:(((~intersect(X11,X12)|member(skolem0003(X11,X12),X11))&(~intersect(X11,X12)|member(skolem0003(X11,X12),X12)))&((~member(X16,X14)|~member(X16,X15))|intersect(X14,X15)))))))),inference(distribute,[status(thm)],[c22])).
% 0.41/0.59 cnf(c25,plain,~intersect(X32,X33)|member(skolem0003(X32,X33),X33),inference(split_conjunct,[status(thm)],[c23])).
% 0.41/0.59 cnf(c46,plain,member(skolem0003(skolem0002,skolem0001),skolem0001),inference(resolution,[status(thm)],[c25, c30])).
% 0.41/0.59 cnf(c6,negated_conjecture,~member(X23,skolem0001)|~member(X23,skolem0002),inference(split_conjunct,[status(thm)],[c5])).
% 0.41/0.59 cnf(c24,plain,~intersect(X24,X25)|member(skolem0003(X24,X25),X24),inference(split_conjunct,[status(thm)],[c23])).
% 0.41/0.59 cnf(c37,plain,member(skolem0003(skolem0002,skolem0001),skolem0002),inference(resolution,[status(thm)],[c24, c30])).
% 0.41/0.59 cnf(c49,plain,~member(skolem0003(skolem0002,skolem0001),skolem0001),inference(resolution,[status(thm)],[c37, c6])).
% 0.41/0.59 cnf(c140,plain,$false,inference(resolution,[status(thm)],[c49, c46])).
% 0.41/0.59 % SZS output end CNFRefutation
% 0.41/0.59
% 0.41/0.59 % Initial clauses : 8
% 0.41/0.59 % Processed clauses : 31
% 0.41/0.59 % Factors computed : 1
% 0.41/0.59 % Resolvents computed: 113
% 0.41/0.59 % Tautologies deleted: 1
% 0.41/0.59 % Forward subsumed : 34
% 0.41/0.59 % Backward subsumed : 0
% 0.41/0.59 % -------- CPU Time ---------
% 0.41/0.59 % User time : 0.192 s
% 0.41/0.59 % System time : 0.016 s
% 0.41/0.59 % Total time : 0.208 s
%------------------------------------------------------------------------------