%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:39:52 EDT 2024
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n012.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 18:53:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % Version: 1.5
% 0.20/0.56 % SZS status Theorem
% 0.20/0.56 % SZS output start CNFRefutation
% 0.20/0.56 fof(prove_th101,conjecture,(![B]:(![C]:(![D]:((intersect(B,C)&subset(C,D))=>intersect(B,D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th101)).
% 0.20/0.56 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:((intersect(B,C)&subset(C,D))=>intersect(B,D)))))),inference(assume_negation,[status(cth)],[prove_th101])).
% 0.20/0.56 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:((intersect(B,C)&subset(C,D))&~intersect(B,D))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.20/0.56 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((intersect(X2,X3)&subset(X3,X4))&~intersect(X2,X4))))),inference(variable_rename,[status(thm)],[c1])).
% 0.20/0.56 fof(c3,negated_conjecture,((intersect(skolem0001,skolem0002)&subset(skolem0002,skolem0003))&~intersect(skolem0001,skolem0003)),inference(skolemize,[status(esa)],[c2])).
% 0.20/0.56 cnf(c6,negated_conjecture,~intersect(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.20/0.56 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.20/0.56 fof(c9,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.20/0.56 fof(c10,plain,(![X6]:(![X7]:(~intersect(X6,X7)|intersect(X7,X6)))),inference(variable_rename,[status(thm)],[c9])).
% 0.20/0.56 cnf(c11,plain,~intersect(X22,X21)|intersect(X21,X22),inference(split_conjunct,[status(thm)],[c10])).
% 0.20/0.56 cnf(c5,negated_conjecture,subset(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.20/0.56 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.20/0.56 fof(c12,plain,(![B]:(![C]:((~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))&((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(fof_nnf,[status(thm)],[subset_defn])).
% 0.20/0.56 fof(c13,plain,((![B]:(![C]:(~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))))&(![B]:(![C]:((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(shift_quantors,[status(thm)],[c12])).
% 0.20/0.56 fof(c14,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(member(X13,X11)&~member(X13,X12)))|subset(X11,X12))))),inference(variable_rename,[status(thm)],[c13])).
% 0.20/0.56 fof(c16,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0004(X11,X12),X11)&~member(skolem0004(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,[status(thm)],[fof(c15,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((member(skolem0004(X11,X12),X11)&~member(skolem0004(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,[status(esa)],[c14])).])).
% 0.20/0.56 fof(c17,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0004(X11,X12),X11)|subset(X11,X12))&(~member(skolem0004(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,[status(thm)],[c16])).
% 0.20/0.56 cnf(c18,plain,~subset(X25,X24)|~member(X23,X25)|member(X23,X24),inference(split_conjunct,[status(thm)],[c17])).
% 0.20/0.56 cnf(c4,negated_conjecture,intersect(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.20/0.56 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)).
% 0.20/0.56 fof(c21,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])).
% 0.20/0.56 fof(c22,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)],[c21])).
% 0.20/0.56 fof(c23,plain,((![X14]:(![X15]:(~intersect(X14,X15)|(?[X16]:(member(X16,X14)&member(X16,X15))))))&(![X17]:(![X18]:((![X19]:(~member(X19,X17)|~member(X19,X18)))|intersect(X17,X18))))),inference(variable_rename,[status(thm)],[c22])).
% 0.20/0.56 fof(c25,plain,(![X14]:(![X15]:(![X17]:(![X18]:(![X19]:((~intersect(X14,X15)|(member(skolem0005(X14,X15),X14)&member(skolem0005(X14,X15),X15)))&((~member(X19,X17)|~member(X19,X18))|intersect(X17,X18)))))))),inference(shift_quantors,[status(thm)],[fof(c24,plain,((![X14]:(![X15]:(~intersect(X14,X15)|(member(skolem0005(X14,X15),X14)&member(skolem0005(X14,X15),X15)))))&(![X17]:(![X18]:((![X19]:(~member(X19,X17)|~member(X19,X18)))|intersect(X17,X18))))),inference(skolemize,[status(esa)],[c23])).])).
% 0.20/0.56 fof(c26,plain,(![X14]:(![X15]:(![X17]:(![X18]:(![X19]:(((~intersect(X14,X15)|member(skolem0005(X14,X15),X14))&(~intersect(X14,X15)|member(skolem0005(X14,X15),X15)))&((~member(X19,X17)|~member(X19,X18))|intersect(X17,X18)))))))),inference(distribute,[status(thm)],[c25])).
% 0.20/0.56 cnf(c28,plain,~intersect(X33,X34)|member(skolem0005(X33,X34),X34),inference(split_conjunct,[status(thm)],[c26])).
% 0.20/0.56 cnf(c38,plain,member(skolem0005(skolem0001,skolem0002),skolem0002),inference(resolution,[status(thm)],[c28, c4])).
% 0.20/0.56 cnf(c40,plain,~subset(skolem0002,X49)|member(skolem0005(skolem0001,skolem0002),X49),inference(resolution,[status(thm)],[c38, c18])).
% 0.20/0.56 cnf(c86,plain,member(skolem0005(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c40, c5])).
% 0.20/0.56 cnf(c27,plain,~intersect(X31,X32)|member(skolem0005(X31,X32),X31),inference(split_conjunct,[status(thm)],[c26])).
% 0.20/0.56 cnf(c34,plain,member(skolem0005(skolem0001,skolem0002),skolem0001),inference(resolution,[status(thm)],[c27, c4])).
% 0.20/0.56 cnf(c29,plain,~member(X36,X35)|~member(X36,X37)|intersect(X35,X37),inference(split_conjunct,[status(thm)],[c26])).
% 0.20/0.56 cnf(c45,plain,~member(skolem0005(skolem0001,skolem0002),X65)|intersect(X65,skolem0001),inference(resolution,[status(thm)],[c29, c34])).
% 0.20/0.56 cnf(c113,plain,intersect(skolem0003,skolem0001),inference(resolution,[status(thm)],[c45, c86])).
% 0.20/0.56 cnf(c120,plain,intersect(skolem0001,skolem0003),inference(resolution,[status(thm)],[c113, c11])).
% 0.20/0.56 cnf(c126,plain,$false,inference(resolution,[status(thm)],[c120, c6])).
% 0.20/0.56 % SZS output end CNFRefutation
% 0.20/0.56
% 0.20/0.56 % Initial clauses : 11
% 0.20/0.56 % Processed clauses : 40
% 0.20/0.56 % Factors computed : 1
% 0.20/0.56 % Resolvents computed: 98
% 0.20/0.56 % Tautologies deleted: 0
% 0.20/0.56 % Forward subsumed : 28
% 0.20/0.56 % Backward subsumed : 0
% 0.20/0.56 % -------- CPU Time ---------
% 0.20/0.56 % User time : 0.186 s
% 0.20/0.56 % System time : 0.019 s
% 0.20/0.56 % Total time : 0.205 s
%------------------------------------------------------------------------------