%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET199+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:39:22 EDT 2024
% Result : Theorem 2.51s 2.66s
% Output : Refutation 2.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET199+3 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 18:35:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 2.51/2.66 % Version: 1.5
% 2.51/2.66 % SZS status Theorem
% 2.51/2.66 % SZS output start CNFRefutation
% 2.51/2.66 fof(prove_intersection_of_subsets,conjecture,(![B]:(![C]:(![D]:((subset(B,C)&subset(B,D))=>subset(B,intersection(C,D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_of_subsets)).
% 2.51/2.66 fof(c3,negated_conjecture,(~(![B]:(![C]:(![D]:((subset(B,C)&subset(B,D))=>subset(B,intersection(C,D))))))),inference(assume_negation,[status(cth)],[prove_intersection_of_subsets])).
% 2.51/2.66 fof(c4,negated_conjecture,(?[B]:(?[C]:(?[D]:((subset(B,C)&subset(B,D))&~subset(B,intersection(C,D)))))),inference(fof_nnf,[status(thm)],[c3])).
% 2.51/2.66 fof(c5,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((subset(X2,X3)&subset(X2,X4))&~subset(X2,intersection(X3,X4)))))),inference(variable_rename,[status(thm)],[c4])).
% 2.51/2.66 fof(c6,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0001,skolem0003))&~subset(skolem0001,intersection(skolem0002,skolem0003))),inference(skolemize,[status(esa)],[c5])).
% 2.51/2.66 cnf(c9,negated_conjecture,~subset(skolem0001,intersection(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c6])).
% 2.51/2.66 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 2.51/2.66 fof(c24,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])).
% 2.51/2.66 fof(c25,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)],[c24])).
% 2.51/2.66 fof(c26,plain,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((?[X20]:(member(X20,X18)&~member(X20,X19)))|subset(X18,X19))))),inference(variable_rename,[status(thm)],[c25])).
% 2.51/2.66 fof(c28,plain,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0005(X18,X19),X18)&~member(skolem0005(X18,X19),X19))|subset(X18,X19)))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((member(skolem0005(X18,X19),X18)&~member(skolem0005(X18,X19),X19))|subset(X18,X19))))),inference(skolemize,[status(esa)],[c26])).])).
% 2.51/2.66 fof(c29,plain,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0005(X18,X19),X18)|subset(X18,X19))&(~member(skolem0005(X18,X19),X19)|subset(X18,X19))))))))),inference(distribute,[status(thm)],[c28])).
% 2.51/2.66 cnf(c32,plain,~member(skolem0005(X48,X49),X49)|subset(X48,X49),inference(split_conjunct,[status(thm)],[c29])).
% 2.51/2.66 cnf(c7,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 2.51/2.66 cnf(c31,plain,member(skolem0005(X46,X47),X46)|subset(X46,X47),inference(split_conjunct,[status(thm)],[c29])).
% 2.51/2.66 cnf(c30,plain,~subset(X68,X67)|~member(X69,X68)|member(X69,X67),inference(split_conjunct,[status(thm)],[c29])).
% 2.51/2.66 cnf(c56,plain,~subset(X153,X154)|member(skolem0005(X153,X155),X154)|subset(X153,X155),inference(resolution,[status(thm)],[c30, c31])).
% 2.51/2.66 cnf(c160,plain,member(skolem0005(skolem0001,X166),skolem0002)|subset(skolem0001,X166),inference(resolution,[status(thm)],[c56, c7])).
% 2.51/2.66 fof(intersection_defn,axiom,(![B]:(![C]:(![D]:(member(D,intersection(B,C))<=>(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 2.51/2.66 fof(c33,plain,(![B]:(![C]:(![D]:((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(fof_nnf,[status(thm)],[intersection_defn])).
% 2.51/2.66 fof(c34,plain,((![B]:(![C]:(![D]:(~member(D,intersection(B,C))|(member(D,B)&member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(shift_quantors,[status(thm)],[c33])).
% 2.51/2.66 fof(c36,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:((~member(X23,intersection(X21,X22))|(member(X23,X21)&member(X23,X22)))&((~member(X26,X24)|~member(X26,X25))|member(X26,intersection(X24,X25)))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X21]:(![X22]:(![X23]:(~member(X23,intersection(X21,X22))|(member(X23,X21)&member(X23,X22))))))&(![X24]:(![X25]:(![X26]:((~member(X26,X24)|~member(X26,X25))|member(X26,intersection(X24,X25))))))),inference(variable_rename,[status(thm)],[c34])).])).
% 2.51/2.66 fof(c37,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(((~member(X23,intersection(X21,X22))|member(X23,X21))&(~member(X23,intersection(X21,X22))|member(X23,X22)))&((~member(X26,X24)|~member(X26,X25))|member(X26,intersection(X24,X25)))))))))),inference(distribute,[status(thm)],[c36])).
% 2.51/2.66 cnf(c40,plain,~member(X107,X108)|~member(X107,X109)|member(X107,intersection(X108,X109)),inference(split_conjunct,[status(thm)],[c37])).
% 2.51/2.66 cnf(c8,negated_conjecture,subset(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c6])).
% 2.51/2.66 cnf(c155,plain,member(skolem0005(skolem0001,X163),skolem0003)|subset(skolem0001,X163),inference(resolution,[status(thm)],[c56, c8])).
% 2.51/2.66 cnf(c178,plain,subset(skolem0001,X1054)|~member(skolem0005(skolem0001,X1054),X1053)|member(skolem0005(skolem0001,X1054),intersection(X1053,skolem0003)),inference(resolution,[status(thm)],[c155, c40])).
% 2.51/2.66 cnf(c4681,plain,subset(skolem0001,X1453)|member(skolem0005(skolem0001,X1453),intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c178, c160])).
% 2.51/2.66 cnf(c6698,plain,subset(skolem0001,intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c4681, c32])).
% 2.51/2.66 cnf(c6717,plain,$false,inference(resolution,[status(thm)],[c6698, c9])).
% 2.51/2.66 % SZS output end CNFRefutation
% 2.51/2.66
% 2.51/2.66 % Initial clauses : 21
% 2.51/2.66 % Processed clauses : 307
% 2.51/2.66 % Factors computed : 40
% 2.51/2.66 % Resolvents computed: 6638
% 2.51/2.66 % Tautologies deleted: 5
% 2.51/2.66 % Forward subsumed : 339
% 2.51/2.66 % Backward subsumed : 1
% 2.51/2.66 % -------- CPU Time ---------
% 2.51/2.66 % User time : 2.258 s
% 2.51/2.66 % System time : 0.036 s
% 2.51/2.66 % Total time : 2.294 s
%------------------------------------------------------------------------------