%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:40:34 EDT 2024
% Result : Theorem 5.32s 5.46s
% Output : Refutation 5.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed May 8 11:42:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 5.32/5.46 % Version: 1.5
% 5.32/5.46 % SZS status Theorem
% 5.32/5.46 % SZS output start CNFRefutation
% 5.32/5.46 fof(d7_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_intersection2(A,B)=empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d7_xboole_0)).
% 5.32/5.46 fof(c32,plain,(![A]:(![B]:((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(fof_nnf,[status(thm)],[d7_xboole_0])).
% 5.32/5.46 fof(c33,plain,((![A]:(![B]:(~disjoint(A,B)|set_intersection2(A,B)=empty_set)))&(![A]:(![B]:(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(shift_quantors,[status(thm)],[c32])).
% 5.32/5.46 fof(c35,plain,(![X13]:(![X14]:(![X15]:(![X16]:((~disjoint(X13,X14)|set_intersection2(X13,X14)=empty_set)&(set_intersection2(X15,X16)!=empty_set|disjoint(X15,X16))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((![X13]:(![X14]:(~disjoint(X13,X14)|set_intersection2(X13,X14)=empty_set)))&(![X15]:(![X16]:(set_intersection2(X15,X16)!=empty_set|disjoint(X15,X16))))),inference(variable_rename,[status(thm)],[c33])).])).
% 5.32/5.46 cnf(c36,plain,~disjoint(X83,X84)|set_intersection2(X83,X84)=empty_set,inference(split_conjunct,[status(thm)],[c35])).
% 5.32/5.46 fof(t4_xboole_0,conjecture,(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~in(C,set_intersection2(A,B))))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_xboole_0)).
% 5.32/5.46 fof(c4,negated_conjecture,(~(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~in(C,set_intersection2(A,B))))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))))),inference(assume_negation,[status(cth)],[t4_xboole_0])).
% 5.32/5.46 fof(c5,negated_conjecture,(~(![A]:(![B]:((~(~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B)))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))))),inference(fof_simplification,[status(thm)],[c4])).
% 5.32/5.46 fof(c6,negated_conjecture,(?[A]:(?[B]:((~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B))))|((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))),inference(fof_nnf,[status(thm)],[c5])).
% 5.32/5.46 fof(c7,negated_conjecture,((?[A]:(?[B]:(~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B))))))|(?[A]:(?[B]:((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))),inference(shift_quantors,[status(thm)],[c6])).
% 5.32/5.46 fof(c8,negated_conjecture,((?[X2]:(?[X3]:(~disjoint(X2,X3)&(![X4]:~in(X4,set_intersection2(X2,X3))))))|(?[X5]:(?[X6]:((?[X7]:in(X7,set_intersection2(X5,X6)))&disjoint(X5,X6))))),inference(variable_rename,[status(thm)],[c7])).
% 5.32/5.46 fof(c10,negated_conjecture,(![X4]:((~disjoint(skolem0001,skolem0002)&~in(X4,set_intersection2(skolem0001,skolem0002)))|(in(skolem0005,set_intersection2(skolem0003,skolem0004))&disjoint(skolem0003,skolem0004)))),inference(shift_quantors,[status(thm)],[fof(c9,negated_conjecture,((~disjoint(skolem0001,skolem0002)&(![X4]:~in(X4,set_intersection2(skolem0001,skolem0002))))|(in(skolem0005,set_intersection2(skolem0003,skolem0004))&disjoint(skolem0003,skolem0004))),inference(skolemize,[status(esa)],[c8])).])).
% 5.32/5.46 fof(c11,negated_conjecture,(![X4]:(((~disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)))&(~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004)))&((~in(X4,set_intersection2(skolem0001,skolem0002))|in(skolem0005,set_intersection2(skolem0003,skolem0004)))&(~in(X4,set_intersection2(skolem0001,skolem0002))|disjoint(skolem0003,skolem0004))))),inference(distribute,[status(thm)],[c10])).
% 5.32/5.46 cnf(c13,negated_conjecture,~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c11])).
% 5.32/5.46 cnf(c15,negated_conjecture,~in(X87,set_intersection2(skolem0001,skolem0002))|disjoint(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c11])).
% 5.32/5.46 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 5.32/5.46 fof(c38,plain,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,[status(thm)],[d1_xboole_0])).
% 5.32/5.46 fof(c39,plain,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,[status(thm)],[c38])).
% 5.32/5.46 fof(c40,plain,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,[status(thm)],[c39])).
% 5.32/5.46 fof(c41,plain,((![X17]:(X17!=empty_set|(![X18]:~in(X18,X17))))&(![X19]:((?[X20]:in(X20,X19))|X19=empty_set))),inference(variable_rename,[status(thm)],[c40])).
% 5.32/5.46 fof(c43,plain,(![X17]:(![X18]:(![X19]:((X17!=empty_set|~in(X18,X17))&(in(skolem0008(X19),X19)|X19=empty_set))))),inference(shift_quantors,[status(thm)],[fof(c42,plain,((![X17]:(X17!=empty_set|(![X18]:~in(X18,X17))))&(![X19]:(in(skolem0008(X19),X19)|X19=empty_set))),inference(skolemize,[status(esa)],[c41])).])).
% 5.32/5.46 cnf(c45,plain,in(skolem0008(X66),X66)|X66=empty_set,inference(split_conjunct,[status(thm)],[c43])).
% 5.32/5.46 cnf(c37,plain,set_intersection2(X86,X85)!=empty_set|disjoint(X86,X85),inference(split_conjunct,[status(thm)],[c35])).
% 5.32/5.46 cnf(c104,plain,disjoint(X224,X225)|in(skolem0008(set_intersection2(X224,X225)),set_intersection2(X224,X225)),inference(resolution,[status(thm)],[c37, c45])).
% 5.32/5.46 cnf(c615,plain,disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(resolution,[status(thm)],[c104, c15])).
% 5.32/5.46 cnf(c623,plain,disjoint(skolem0003,skolem0004),inference(resolution,[status(thm)],[c615, c13])).
% 5.32/5.46 cnf(c629,plain,set_intersection2(skolem0003,skolem0004)=empty_set,inference(resolution,[status(thm)],[c623, c36])).
% 5.32/5.46 cnf(c44,plain,X47!=empty_set|~in(X48,X47),inference(split_conjunct,[status(thm)],[c43])).
% 5.32/5.46 cnf(c12,negated_conjecture,~disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c11])).
% 5.32/5.46 cnf(c14,negated_conjecture,~in(X82,set_intersection2(skolem0001,skolem0002))|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c11])).
% 5.32/5.46 cnf(c102,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004))|set_intersection2(skolem0001,skolem0002)=empty_set,inference(resolution,[status(thm)],[c14, c45])).
% 5.32/5.46 cnf(c581,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004))|disjoint(skolem0001,skolem0002),inference(resolution,[status(thm)],[c102, c37])).
% 5.32/5.46 cnf(c12741,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(resolution,[status(thm)],[c581, c12])).
% 5.32/5.46 cnf(c12745,plain,set_intersection2(skolem0003,skolem0004)!=empty_set,inference(resolution,[status(thm)],[c12741, c44])).
% 5.32/5.46 cnf(c12758,plain,$false,inference(resolution,[status(thm)],[c12745, c629])).
% 5.32/5.46 % SZS output end CNFRefutation
% 5.32/5.46
% 5.32/5.46 % Initial clauses : 24
% 5.32/5.46 % Processed clauses : 561
% 5.32/5.46 % Factors computed : 8
% 5.32/5.46 % Resolvents computed: 12740
% 5.32/5.46 % Tautologies deleted: 4
% 5.32/5.46 % Forward subsumed : 803
% 5.32/5.46 % Backward subsumed : 14
% 5.32/5.46 % -------- CPU Time ---------
% 5.32/5.46 % User time : 5.056 s
% 5.32/5.46 % System time : 0.052 s
% 5.32/5.46 % Total time : 5.108 s
%------------------------------------------------------------------------------