TSTP Solution File: SET974+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:40:26 EDT 2024
% Result : Theorem 28.95s 29.18s
% Output : Refutation 28.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 19:01:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 28.95/29.18 % Version: 1.5
% 28.95/29.18 % SZS status Theorem
% 28.95/29.18 % SZS output start CNFRefutation
% 28.95/29.18 fof(t127_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:((disjoint(A,B)|disjoint(C,D))=>disjoint(cartesian_product2(A,C),cartesian_product2(B,D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t127_zfmisc_1)).
% 28.95/29.18 fof(c16,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:((disjoint(A,B)|disjoint(C,D))=>disjoint(cartesian_product2(A,C),cartesian_product2(B,D)))))))),inference(assume_negation,[status(cth)],[t127_zfmisc_1])).
% 28.95/29.18 fof(c17,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:((disjoint(A,B)|disjoint(C,D))&~disjoint(cartesian_product2(A,C),cartesian_product2(B,D))))))),inference(fof_nnf,[status(thm)],[c16])).
% 28.95/29.18 fof(c18,negated_conjecture,(?[X8]:(?[X9]:(?[X10]:(?[X11]:((disjoint(X8,X9)|disjoint(X10,X11))&~disjoint(cartesian_product2(X8,X10),cartesian_product2(X9,X11))))))),inference(variable_rename,[status(thm)],[c17])).
% 28.95/29.18 fof(c19,negated_conjecture,((disjoint(skolem0002,skolem0003)|disjoint(skolem0004,skolem0005))&~disjoint(cartesian_product2(skolem0002,skolem0004),cartesian_product2(skolem0003,skolem0005))),inference(skolemize,[status(esa)],[c18])).
% 28.95/29.18 cnf(c21,negated_conjecture,~disjoint(cartesian_product2(skolem0002,skolem0004),cartesian_product2(skolem0003,skolem0005)),inference(split_conjunct,[status(thm)],[c19])).
% 28.95/29.18 fof(t4_xboole_0,axiom,(![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)).
% 28.95/29.18 fof(c8,plain,(![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)],[t4_xboole_0])).
% 28.95/29.18 fof(c9,plain,(![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)],[c8])).
% 28.95/29.18 fof(c10,plain,((![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)],[c9])).
% 28.95/29.18 fof(c11,plain,((![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)],[c10])).
% 28.95/29.18 fof(c13,plain,(![X2]:(![X3]:(![X5]:(![X6]:(![X7]:((disjoint(X2,X3)|in(skolem0001(X2,X3),set_intersection2(X2,X3)))&(~in(X7,set_intersection2(X5,X6))|~disjoint(X5,X6)))))))),inference(shift_quantors,[status(thm)],[fof(c12,plain,((![X2]:(![X3]:(disjoint(X2,X3)|in(skolem0001(X2,X3),set_intersection2(X2,X3)))))&(![X5]:(![X6]:((![X7]:~in(X7,set_intersection2(X5,X6)))|~disjoint(X5,X6))))),inference(skolemize,[status(esa)],[c11])).])).
% 28.95/29.18 cnf(c15,plain,~in(X75,set_intersection2(X77,X76))|~disjoint(X77,X76),inference(split_conjunct,[status(thm)],[c13])).
% 28.95/29.18 cnf(c14,plain,disjoint(X117,X116)|in(skolem0001(X117,X116),set_intersection2(X117,X116)),inference(split_conjunct,[status(thm)],[c13])).
% 28.95/29.18 fof(t104_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(~(in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))&(![F]:(![G]:(~((A=ordered_pair(F,G)&in(F,set_intersection2(B,D)))&in(G,set_intersection2(C,E))))))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t104_zfmisc_1)).
% 28.95/29.18 fof(c22,plain,(![A]:(![B]:(![C]:(![D]:(![E]:(~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))|(?[F]:(?[G]:((A=ordered_pair(F,G)&in(F,set_intersection2(B,D)))&in(G,set_intersection2(C,E))))))))))),inference(fof_nnf,[status(thm)],[t104_zfmisc_1])).
% 28.95/29.18 fof(c23,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(~in(X12,set_intersection2(cartesian_product2(X13,X14),cartesian_product2(X15,X16)))|(?[X17]:(?[X18]:((X12=ordered_pair(X17,X18)&in(X17,set_intersection2(X13,X15)))&in(X18,set_intersection2(X14,X16))))))))))),inference(variable_rename,[status(thm)],[c22])).
% 28.95/29.18 fof(c24,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(~in(X12,set_intersection2(cartesian_product2(X13,X14),cartesian_product2(X15,X16)))|((X12=ordered_pair(skolem0006(X12,X13,X14,X15,X16),skolem0007(X12,X13,X14,X15,X16))&in(skolem0006(X12,X13,X14,X15,X16),set_intersection2(X13,X15)))&in(skolem0007(X12,X13,X14,X15,X16),set_intersection2(X14,X16))))))))),inference(skolemize,[status(esa)],[c23])).
% 28.95/29.18 fof(c25,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(((~in(X12,set_intersection2(cartesian_product2(X13,X14),cartesian_product2(X15,X16)))|X12=ordered_pair(skolem0006(X12,X13,X14,X15,X16),skolem0007(X12,X13,X14,X15,X16)))&(~in(X12,set_intersection2(cartesian_product2(X13,X14),cartesian_product2(X15,X16)))|in(skolem0006(X12,X13,X14,X15,X16),set_intersection2(X13,X15))))&(~in(X12,set_intersection2(cartesian_product2(X13,X14),cartesian_product2(X15,X16)))|in(skolem0007(X12,X13,X14,X15,X16),set_intersection2(X14,X16))))))))),inference(distribute,[status(thm)],[c24])).
% 28.95/29.18 cnf(c28,plain,~in(X165,set_intersection2(cartesian_product2(X166,X162),cartesian_product2(X163,X164)))|in(skolem0007(X165,X166,X162,X163,X164),set_intersection2(X162,X164)),inference(split_conjunct,[status(thm)],[c25])).
% 28.95/29.18 cnf(c233,plain,in(skolem0007(skolem0001(cartesian_product2(X1180,X1183),cartesian_product2(X1181,X1182)),X1180,X1183,X1181,X1182),set_intersection2(X1183,X1182))|disjoint(cartesian_product2(X1180,X1183),cartesian_product2(X1181,X1182)),inference(resolution,[status(thm)],[c28, c14])).
% 28.95/29.18 cnf(c12375,plain,disjoint(cartesian_product2(X1187,X1189),cartesian_product2(X1188,X1186))|~disjoint(X1189,X1186),inference(resolution,[status(thm)],[c233, c15])).
% 28.95/29.18 fof(symmetry_r1_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)=>disjoint(B,A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry_r1_xboole_0)).
% 28.95/29.18 fof(c29,plain,(![A]:(![B]:(~disjoint(A,B)|disjoint(B,A)))),inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])).
% 28.95/29.18 fof(c30,plain,(![X19]:(![X20]:(~disjoint(X19,X20)|disjoint(X20,X19)))),inference(variable_rename,[status(thm)],[c29])).
% 28.95/29.18 cnf(c31,plain,~disjoint(X44,X43)|disjoint(X43,X44),inference(split_conjunct,[status(thm)],[c30])).
% 28.95/29.18 cnf(c20,negated_conjecture,disjoint(skolem0002,skolem0003)|disjoint(skolem0004,skolem0005),inference(split_conjunct,[status(thm)],[c19])).
% 28.95/29.18 cnf(c132,plain,disjoint(skolem0002,skolem0003)|disjoint(skolem0005,skolem0004),inference(resolution,[status(thm)],[c20, c31])).
% 28.95/29.18 cnf(c27,plain,~in(X152,set_intersection2(cartesian_product2(X153,X149),cartesian_product2(X150,X151)))|in(skolem0006(X152,X153,X149,X150,X151),set_intersection2(X153,X150)),inference(split_conjunct,[status(thm)],[c25])).
% 28.95/29.18 cnf(c221,plain,in(skolem0006(skolem0001(cartesian_product2(X1082,X1083),cartesian_product2(X1080,X1081)),X1082,X1083,X1080,X1081),set_intersection2(X1082,X1080))|disjoint(cartesian_product2(X1082,X1083),cartesian_product2(X1080,X1081)),inference(resolution,[status(thm)],[c27, c14])).
% 28.95/29.18 cnf(c11702,plain,disjoint(cartesian_product2(X1086,X1084),cartesian_product2(X1085,X1087))|~disjoint(X1086,X1085),inference(resolution,[status(thm)],[c221, c15])).
% 28.95/29.18 cnf(c11710,plain,disjoint(cartesian_product2(skolem0002,X3644),cartesian_product2(skolem0003,X3643))|disjoint(skolem0005,skolem0004),inference(resolution,[status(thm)],[c11702, c132])).
% 28.95/29.18 cnf(c58074,plain,disjoint(skolem0005,skolem0004),inference(resolution,[status(thm)],[c11710, c21])).
% 28.95/29.18 cnf(c58089,plain,disjoint(skolem0004,skolem0005),inference(resolution,[status(thm)],[c58074, c31])).
% 28.95/29.18 cnf(c58096,plain,disjoint(cartesian_product2(X3665,skolem0004),cartesian_product2(X3664,skolem0005)),inference(resolution,[status(thm)],[c58089, c12375])).
% 28.95/29.18 cnf(c58989,plain,$false,inference(resolution,[status(thm)],[c58096, c21])).
% 28.95/29.18 % SZS output end CNFRefutation
% 28.95/29.18
% 28.95/29.18 % Initial clauses : 27
% 28.95/29.18 % Processed clauses : 874
% 28.95/29.18 % Factors computed : 7
% 28.95/29.18 % Resolvents computed: 58931
% 28.95/29.18 % Tautologies deleted: 5
% 28.95/29.18 % Forward subsumed : 1235
% 28.95/29.18 % Backward subsumed : 49
% 28.95/29.18 % -------- CPU Time ---------
% 28.95/29.18 % User time : 28.687 s
% 28.95/29.18 % System time : 0.117 s
% 28.95/29.18 % Total time : 28.804 s
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