%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:40:35 EDT 2024
% Result : Theorem 1.97s 2.19s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n003.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 11:22:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.97/2.19 % Version: 1.5
% 1.97/2.19 % SZS status Theorem
% 1.97/2.19 % SZS output start CNFRefutation
% 1.97/2.19 fof(t3_xboole_0,plain,(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_xboole_0)).
% 1.97/2.19 fof(c16,plain,(![A]:(![B]:((~(~disjoint(A,B)&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B)))))),inference(fof_simplification,[status(thm)],[t3_xboole_0])).
% 1.97/2.19 fof(c17,plain,(![A]:(![B]:((disjoint(A,B)|(?[C]:(in(C,A)&in(C,B))))&((![C]:(~in(C,A)|~in(C,B)))|~disjoint(A,B))))),inference(fof_nnf,[status(thm)],[c16])).
% 1.97/2.19 fof(c18,plain,((![A]:(![B]:(disjoint(A,B)|(?[C]:(in(C,A)&in(C,B))))))&(![A]:(![B]:((![C]:(~in(C,A)|~in(C,B)))|~disjoint(A,B))))),inference(shift_quantors,[status(thm)],[c17])).
% 1.97/2.19 fof(c19,plain,((![X8]:(![X9]:(disjoint(X8,X9)|(?[X10]:(in(X10,X8)&in(X10,X9))))))&(![X11]:(![X12]:((![X13]:(~in(X13,X11)|~in(X13,X12)))|~disjoint(X11,X12))))),inference(variable_rename,[status(thm)],[c18])).
% 1.97/2.19 fof(c21,plain,(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:((disjoint(X8,X9)|(in(skolem0006(X8,X9),X8)&in(skolem0006(X8,X9),X9)))&((~in(X13,X11)|~in(X13,X12))|~disjoint(X11,X12)))))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,((![X8]:(![X9]:(disjoint(X8,X9)|(in(skolem0006(X8,X9),X8)&in(skolem0006(X8,X9),X9)))))&(![X11]:(![X12]:((![X13]:(~in(X13,X11)|~in(X13,X12)))|~disjoint(X11,X12))))),inference(skolemize,[status(esa)],[c19])).])).
% 1.97/2.19 fof(c22,plain,(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:(((disjoint(X8,X9)|in(skolem0006(X8,X9),X8))&(disjoint(X8,X9)|in(skolem0006(X8,X9),X9)))&((~in(X13,X11)|~in(X13,X12))|~disjoint(X11,X12)))))))),inference(distribute,[status(thm)],[c21])).
% 1.97/2.19 cnf(c25,plain,~in(X120,X122)|~in(X120,X121)|~disjoint(X122,X121),inference(split_conjunct,[status(thm)],[c22])).
% 1.97/2.19 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 1.97/2.19 fof(c60,plain,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,[status(thm)],[d1_xboole_0])).
% 1.97/2.19 fof(c61,plain,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,[status(thm)],[c60])).
% 1.97/2.19 fof(c62,plain,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,[status(thm)],[c61])).
% 1.97/2.19 fof(c63,plain,((![X32]:(X32!=empty_set|(![X33]:~in(X33,X32))))&(![X34]:((?[X35]:in(X35,X34))|X34=empty_set))),inference(variable_rename,[status(thm)],[c62])).
% 1.97/2.19 fof(c65,plain,(![X32]:(![X33]:(![X34]:((X32!=empty_set|~in(X33,X32))&(in(skolem0010(X34),X34)|X34=empty_set))))),inference(shift_quantors,[status(thm)],[fof(c64,plain,((![X32]:(X32!=empty_set|(![X33]:~in(X33,X32))))&(![X34]:(in(skolem0010(X34),X34)|X34=empty_set))),inference(skolemize,[status(esa)],[c63])).])).
% 1.97/2.19 cnf(c66,plain,X63!=empty_set|~in(X62,X63),inference(split_conjunct,[status(thm)],[c65])).
% 1.97/2.19 cnf(c23,plain,disjoint(X82,X81)|in(skolem0006(X82,X81),X82),inference(split_conjunct,[status(thm)],[c22])).
% 1.97/2.19 cnf(c103,plain,disjoint(X83,X84)|X83!=empty_set,inference(resolution,[status(thm)],[c23, c66])).
% 1.97/2.19 fof(d7_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_intersection2(A,B)=empty_set))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_xboole_0)).
% 1.97/2.19 fof(c42,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])).
% 1.97/2.19 fof(c43,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)],[c42])).
% 1.97/2.19 fof(c45,plain,(![X19]:(![X20]:(![X21]:(![X22]:((~disjoint(X19,X20)|set_intersection2(X19,X20)=empty_set)&(set_intersection2(X21,X22)!=empty_set|disjoint(X21,X22))))))),inference(shift_quantors,[status(thm)],[fof(c44,plain,((![X19]:(![X20]:(~disjoint(X19,X20)|set_intersection2(X19,X20)=empty_set)))&(![X21]:(![X22]:(set_intersection2(X21,X22)!=empty_set|disjoint(X21,X22))))),inference(variable_rename,[status(thm)],[c43])).])).
% 1.97/2.19 cnf(c46,plain,~disjoint(X130,X129)|set_intersection2(X130,X129)=empty_set,inference(split_conjunct,[status(thm)],[c45])).
% 1.97/2.19 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/sandbox2/benchmark/theBenchmark.p', t4_xboole_0)).
% 1.97/2.19 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])).
% 1.97/2.19 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])).
% 1.97/2.19 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])).
% 1.97/2.19 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])).
% 1.97/2.19 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])).
% 1.97/2.19 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])).])).
% 1.97/2.19 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])).
% 1.97/2.19 cnf(c13,negated_conjecture,~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c11])).
% 1.97/2.19 cnf(c47,plain,set_intersection2(X137,X136)!=empty_set|disjoint(X137,X136),inference(split_conjunct,[status(thm)],[c45])).
% 1.97/2.19 cnf(c67,plain,in(skolem0010(X97),X97)|X97=empty_set,inference(split_conjunct,[status(thm)],[c65])).
% 1.97/2.19 cnf(c15,negated_conjecture,~in(X110,set_intersection2(skolem0001,skolem0002))|disjoint(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c11])).
% 1.97/2.19 cnf(c154,plain,disjoint(skolem0003,skolem0004)|set_intersection2(skolem0001,skolem0002)=empty_set,inference(resolution,[status(thm)],[c15, c67])).
% 1.97/2.19 cnf(c1157,plain,disjoint(skolem0003,skolem0004)|disjoint(skolem0001,skolem0002),inference(resolution,[status(thm)],[c154, c47])).
% 1.97/2.19 cnf(c1176,plain,disjoint(skolem0003,skolem0004),inference(resolution,[status(thm)],[c1157, c13])).
% 1.97/2.19 cnf(c1182,plain,set_intersection2(skolem0003,skolem0004)=empty_set,inference(resolution,[status(thm)],[c1176, c46])).
% 1.97/2.19 cnf(c1203,plain,disjoint(set_intersection2(skolem0003,skolem0004),X636),inference(resolution,[status(thm)],[c1182, c103])).
% 1.97/2.19 cnf(c1221,plain,~in(X1428,set_intersection2(skolem0003,skolem0004))|~in(X1428,X1427),inference(resolution,[status(thm)],[c1203, c25])).
% 1.97/2.19 cnf(c5128,plain,~in(X1429,set_intersection2(skolem0003,skolem0004)),inference(factor,[status(thm)],[c1221])).
% 1.97/2.19 cnf(c12,negated_conjecture,~disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c11])).
% 1.97/2.19 cnf(c14,negated_conjecture,~in(X99,set_intersection2(skolem0001,skolem0002))|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c11])).
% 1.97/2.19 cnf(c135,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004))|set_intersection2(skolem0001,skolem0002)=empty_set,inference(resolution,[status(thm)],[c14, c67])).
% 1.97/2.19 cnf(c5221,plain,set_intersection2(skolem0001,skolem0002)=empty_set,inference(resolution,[status(thm)],[c5128, c135])).
% 1.97/2.19 cnf(c5506,plain,disjoint(skolem0001,skolem0002),inference(resolution,[status(thm)],[c5221, c47])).
% 1.97/2.19 cnf(c5526,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(resolution,[status(thm)],[c5506, c12])).
% 1.97/2.19 cnf(c6043,plain,$false,inference(resolution,[status(thm)],[c5526, c5128])).
% 1.97/2.19 % SZS output end CNFRefutation
% 1.97/2.19
% 1.97/2.19 % Initial clauses : 33
% 1.97/2.19 % Processed clauses : 332
% 1.97/2.19 % Factors computed : 41
% 1.97/2.19 % Resolvents computed: 5945
% 1.97/2.19 % Tautologies deleted: 18
% 1.97/2.19 % Forward subsumed : 632
% 1.97/2.19 % Backward subsumed : 47
% 1.97/2.19 % -------- CPU Time ---------
% 1.97/2.19 % User time : 1.807 s
% 1.97/2.19 % System time : 0.027 s
% 1.97/2.19 % Total time : 1.834 s
%------------------------------------------------------------------------------