%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET983+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 17:40:27 EDT 2024
% Result : Theorem 66.11s 66.36s
% Output : Refutation 66.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:01:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 66.11/66.36 % Version: 1.5
% 66.11/66.36 % SZS status Theorem
% 66.11/66.36 % SZS output start CNFRefutation
% 66.11/66.36 fof(t137_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:((in(A,cartesian_product2(B,C))&in(A,cartesian_product2(D,E)))=>in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t137_zfmisc_1)).
% 66.11/66.36 fof(c4,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:((in(A,cartesian_product2(B,C))&in(A,cartesian_product2(D,E)))=>in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E)))))))))),inference(assume_negation,[status(cth)],[t137_zfmisc_1])).
% 66.11/66.36 fof(c5,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:((in(A,cartesian_product2(B,C))&in(A,cartesian_product2(D,E)))&~in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))))))))),inference(fof_nnf,[status(thm)],[c4])).
% 66.11/66.36 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:((in(X2,cartesian_product2(X3,X4))&in(X2,cartesian_product2(X5,X6)))&~in(X2,cartesian_product2(set_intersection2(X3,X5),set_intersection2(X4,X6))))))))),inference(variable_rename,[status(thm)],[c5])).
% 66.11/66.36 fof(c7,negated_conjecture,((in(skolem0001,cartesian_product2(skolem0002,skolem0003))&in(skolem0001,cartesian_product2(skolem0004,skolem0005)))&~in(skolem0001,cartesian_product2(set_intersection2(skolem0002,skolem0004),set_intersection2(skolem0003,skolem0005)))),inference(skolemize,[status(esa)],[c6])).
% 66.11/66.36 cnf(c10,negated_conjecture,~in(skolem0001,cartesian_product2(set_intersection2(skolem0002,skolem0004),set_intersection2(skolem0003,skolem0005))),inference(split_conjunct,[status(thm)],[c7])).
% 66.11/66.36 cnf(c8,negated_conjecture,in(skolem0001,cartesian_product2(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 66.11/66.36 cnf(c9,negated_conjecture,in(skolem0001,cartesian_product2(skolem0004,skolem0005)),inference(split_conjunct,[status(thm)],[c7])).
% 66.11/66.36 cnf(reflexivity,axiom,X27=X27,theory(equality)).
% 66.11/66.36 fof(d3_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_intersection2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&in(D,B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 66.11/66.36 fof(c23,plain,(![A]:(![B]:(![C]:((C!=set_intersection2(A,B)|(![D]:((~in(D,C)|(in(D,A)&in(D,B)))&((~in(D,A)|~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))|C=set_intersection2(A,B)))))),inference(fof_nnf,[status(thm)],[d3_xboole_0])).
% 66.11/66.36 fof(c24,plain,((![A]:(![B]:(![C]:(C!=set_intersection2(A,B)|((![D]:(~in(D,C)|(in(D,A)&in(D,B))))&(![D]:((~in(D,A)|~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))|C=set_intersection2(A,B)))))),inference(shift_quantors,[status(thm)],[c23])).
% 66.11/66.36 fof(c25,plain,((![X14]:(![X15]:(![X16]:(X16!=set_intersection2(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&in(X17,X15))))&(![X18]:((~in(X18,X14)|~in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|(~in(X22,X19)|~in(X22,X20)))&(in(X22,X21)|(in(X22,X19)&in(X22,X20)))))|X21=set_intersection2(X19,X20)))))),inference(variable_rename,[status(thm)],[c24])).
% 66.11/66.36 fof(c27,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X16!=set_intersection2(X14,X15)|((~in(X17,X16)|(in(X17,X14)&in(X17,X15)))&((~in(X18,X14)|~in(X18,X15))|in(X18,X16))))&(((~in(skolem0008(X19,X20,X21),X21)|(~in(skolem0008(X19,X20,X21),X19)|~in(skolem0008(X19,X20,X21),X20)))&(in(skolem0008(X19,X20,X21),X21)|(in(skolem0008(X19,X20,X21),X19)&in(skolem0008(X19,X20,X21),X20))))|X21=set_intersection2(X19,X20))))))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X14]:(![X15]:(![X16]:(X16!=set_intersection2(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&in(X17,X15))))&(![X18]:((~in(X18,X14)|~in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:(((~in(skolem0008(X19,X20,X21),X21)|(~in(skolem0008(X19,X20,X21),X19)|~in(skolem0008(X19,X20,X21),X20)))&(in(skolem0008(X19,X20,X21),X21)|(in(skolem0008(X19,X20,X21),X19)&in(skolem0008(X19,X20,X21),X20))))|X21=set_intersection2(X19,X20)))))),inference(skolemize,[status(esa)],[c25])).])).
% 66.11/66.36 fof(c28,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((((X16!=set_intersection2(X14,X15)|(~in(X17,X16)|in(X17,X14)))&(X16!=set_intersection2(X14,X15)|(~in(X17,X16)|in(X17,X15))))&(X16!=set_intersection2(X14,X15)|((~in(X18,X14)|~in(X18,X15))|in(X18,X16))))&(((~in(skolem0008(X19,X20,X21),X21)|(~in(skolem0008(X19,X20,X21),X19)|~in(skolem0008(X19,X20,X21),X20)))|X21=set_intersection2(X19,X20))&(((in(skolem0008(X19,X20,X21),X21)|in(skolem0008(X19,X20,X21),X19))|X21=set_intersection2(X19,X20))&((in(skolem0008(X19,X20,X21),X21)|in(skolem0008(X19,X20,X21),X20))|X21=set_intersection2(X19,X20))))))))))))),inference(distribute,[status(thm)],[c27])).
% 66.11/66.36 cnf(c31,plain,X111!=set_intersection2(X113,X112)|~in(X114,X113)|~in(X114,X112)|in(X114,X111),inference(split_conjunct,[status(thm)],[c28])).
% 66.11/66.36 cnf(c118,plain,~in(X411,X412)|~in(X411,X410)|in(X411,set_intersection2(X412,X410)),inference(resolution,[status(thm)],[c31, reflexivity])).
% 66.11/66.36 cnf(c1044,plain,~in(skolem0001,X2277)|in(skolem0001,set_intersection2(X2277,cartesian_product2(skolem0004,skolem0005))),inference(resolution,[status(thm)],[c118, c9])).
% 66.11/66.36 cnf(c18245,plain,in(skolem0001,set_intersection2(cartesian_product2(skolem0002,skolem0003),cartesian_product2(skolem0004,skolem0005))),inference(resolution,[status(thm)],[c1044, c8])).
% 66.11/66.36 cnf(transitivity,axiom,X31!=X33|X33!=X32|X31=X32,theory(equality)).
% 66.11/66.36 fof(idempotence_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,A)=A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', idempotence_k3_xboole_0)).
% 66.11/66.36 fof(c20,plain,(![A]:set_intersection2(A,A)=A),inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])).
% 66.11/66.36 fof(c21,plain,(![X13]:set_intersection2(X13,X13)=X13),inference(variable_rename,[status(thm)],[c20])).
% 66.11/66.36 cnf(c22,plain,set_intersection2(X28,X28)=X28,inference(split_conjunct,[status(thm)],[c21])).
% 66.11/66.36 cnf(symmetry,axiom,X29!=X30|X30=X29,theory(equality)).
% 66.11/66.36 cnf(c41,plain,X35=set_intersection2(X35,X35),inference(resolution,[status(thm)],[symmetry, c22])).
% 66.11/66.36 cnf(c46,plain,X70!=X69|X70=set_intersection2(X69,X69),inference(resolution,[status(thm)],[c41, transitivity])).
% 66.11/66.36 fof(t123_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:cartesian_product2(set_intersection2(A,B),set_intersection2(C,D))=set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t123_zfmisc_1)).
% 66.11/66.36 fof(c11,plain,(![X7]:(![X8]:(![X9]:(![X10]:cartesian_product2(set_intersection2(X7,X8),set_intersection2(X9,X10))=set_intersection2(cartesian_product2(X7,X9),cartesian_product2(X8,X10)))))),inference(variable_rename,[status(thm)],[t123_zfmisc_1])).
% 66.11/66.36 cnf(c12,plain,cartesian_product2(set_intersection2(X72,X74),set_intersection2(X75,X73))=set_intersection2(cartesian_product2(X72,X75),cartesian_product2(X74,X73)),inference(split_conjunct,[status(thm)],[c11])).
% 66.11/66.36 cnf(c86,plain,cartesian_product2(set_intersection2(X355,X356),set_intersection2(X354,X357))=set_intersection2(set_intersection2(cartesian_product2(X355,X354),cartesian_product2(X356,X357)),set_intersection2(cartesian_product2(X355,X354),cartesian_product2(X356,X357))),inference(resolution,[status(thm)],[c12, c46])).
% 66.11/66.36 cnf(c872,plain,~in(X6912,set_intersection2(cartesian_product2(X6911,X6913),cartesian_product2(X6914,X6915)))|in(X6912,cartesian_product2(set_intersection2(X6911,X6914),set_intersection2(X6913,X6915))),inference(resolution,[status(thm)],[c86, c31])).
% 66.11/66.36 cnf(c89332,plain,in(skolem0001,cartesian_product2(set_intersection2(skolem0002,skolem0004),set_intersection2(skolem0003,skolem0005))),inference(resolution,[status(thm)],[c872, c18245])).
% 66.11/66.36 cnf(c91107,plain,$false,inference(resolution,[status(thm)],[c89332, c10])).
% 66.11/66.36 % SZS output end CNFRefutation
% 66.11/66.36
% 66.11/66.36 % Initial clauses : 22
% 66.11/66.36 % Processed clauses : 1234
% 66.11/66.36 % Factors computed : 89
% 66.11/66.36 % Resolvents computed: 91087
% 66.11/66.36 % Tautologies deleted: 52
% 66.11/66.36 % Forward subsumed : 2242
% 66.11/66.36 % Backward subsumed : 37
% 66.11/66.36 % -------- CPU Time ---------
% 66.11/66.36 % User time : 65.756 s
% 66.11/66.36 % System time : 0.206 s
% 66.11/66.36 % Total time : 65.962 s
%------------------------------------------------------------------------------