%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:39:44 EDT 2024
% Result : Theorem 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Wed May 8 19:00:22 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.16/0.45 % Version: 1.5
% 0.16/0.45 % SZS status Theorem
% 0.16/0.45 % SZS output start CNFRefutation
% 0.16/0.45 fof(prove_th15,conjecture,(![B]:(![C]:(intersect(B,C)=>(?[D]:(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th15)).
% 0.16/0.45 fof(c0,negated_conjecture,(~(![B]:(![C]:(intersect(B,C)=>(?[D]:(member(D,B)&member(D,C))))))),inference(assume_negation,[status(cth)],[prove_th15])).
% 0.16/0.45 fof(c1,negated_conjecture,(?[B]:(?[C]:(intersect(B,C)&(![D]:(~member(D,B)|~member(D,C)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.16/0.45 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(intersect(X2,X3)&(![X4]:(~member(X4,X2)|~member(X4,X3)))))),inference(variable_rename,[status(thm)],[c1])).
% 0.16/0.45 fof(c4,negated_conjecture,(![X4]:(intersect(skolem0001,skolem0002)&(~member(X4,skolem0001)|~member(X4,skolem0002)))),inference(shift_quantors,[status(thm)],[fof(c3,negated_conjecture,(intersect(skolem0001,skolem0002)&(![X4]:(~member(X4,skolem0001)|~member(X4,skolem0002)))),inference(skolemize,[status(esa)],[c2])).])).
% 0.16/0.45 cnf(c6,negated_conjecture,~member(X15,skolem0001)|~member(X15,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.16/0.45 cnf(c5,negated_conjecture,intersect(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.16/0.45 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.16/0.45 fof(c7,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.16/0.45 fof(c8,plain,(![X5]:(![X6]:(~intersect(X5,X6)|intersect(X6,X5)))),inference(variable_rename,[status(thm)],[c7])).
% 0.16/0.45 cnf(c9,plain,~intersect(X13,X14)|intersect(X14,X13),inference(split_conjunct,[status(thm)],[c8])).
% 0.16/0.45 cnf(c19,plain,intersect(skolem0002,skolem0001),inference(resolution,[status(thm)],[c9, c5])).
% 0.16/0.45 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.16/0.45 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])).
% 0.16/0.45 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])).
% 0.16/0.45 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])).
% 0.16/0.45 fof(c14,plain,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:((~intersect(X7,X8)|(member(skolem0003(X7,X8),X7)&member(skolem0003(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(skolem0003(X7,X8),X7)&member(skolem0003(X7,X8),X8)))))&(![X10]:(![X11]:((![X12]:(~member(X12,X10)|~member(X12,X11)))|intersect(X10,X11))))),inference(skolemize,[status(esa)],[c12])).])).
% 0.16/0.45 fof(c15,plain,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:(((~intersect(X7,X8)|member(skolem0003(X7,X8),X7))&(~intersect(X7,X8)|member(skolem0003(X7,X8),X8)))&((~member(X12,X10)|~member(X12,X11))|intersect(X10,X11)))))))),inference(distribute,[status(thm)],[c14])).
% 0.16/0.45 cnf(c16,plain,~intersect(X16,X17)|member(skolem0003(X16,X17),X16),inference(split_conjunct,[status(thm)],[c15])).
% 0.16/0.45 cnf(c21,plain,member(skolem0003(skolem0002,skolem0001),skolem0002),inference(resolution,[status(thm)],[c16, c19])).
% 0.16/0.45 cnf(c23,plain,~member(skolem0003(skolem0002,skolem0001),skolem0001),inference(resolution,[status(thm)],[c21, c6])).
% 0.16/0.45 cnf(c17,plain,~intersect(X18,X19)|member(skolem0003(X18,X19),X19),inference(split_conjunct,[status(thm)],[c15])).
% 0.16/0.45 cnf(c24,plain,member(skolem0003(skolem0002,skolem0001),skolem0001),inference(resolution,[status(thm)],[c17, c19])).
% 0.16/0.45 cnf(c26,plain,$false,inference(resolution,[status(thm)],[c24, c23])).
% 0.16/0.45 % SZS output end CNFRefutation
% 0.16/0.45
% 0.16/0.45 % Initial clauses : 6
% 0.16/0.45 % Processed clauses : 11
% 0.16/0.45 % Factors computed : 1
% 0.16/0.45 % Resolvents computed: 11
% 0.16/0.45 % Tautologies deleted: 0
% 0.16/0.45 % Forward subsumed : 1
% 0.16/0.45 % Backward subsumed : 0
% 0.16/0.45 % -------- CPU Time ---------
% 0.16/0.45 % User time : 0.133 s
% 0.16/0.45 % System time : 0.009 s
% 0.16/0.45 % Total time : 0.142 s
%------------------------------------------------------------------------------