%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET008+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 17:38:48 EDT 2024
% Result : Theorem 28.44s 28.64s
% Output : Refutation 28.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET008+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.15 % 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 19:23:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 28.44/28.64 % Version: 1.5
% 28.44/28.64 % SZS status Theorem
% 28.44/28.64 % SZS output start CNFRefutation
% 28.44/28.64 fof(prove_intersection_difference_empty_set,conjecture,(![B]:(![C]:intersection(difference(B,C),C)=empty_set)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_difference_empty_set)).
% 28.44/28.64 fof(c5,negated_conjecture,(~(![B]:(![C]:intersection(difference(B,C),C)=empty_set))),inference(assume_negation,[status(cth)],[prove_intersection_difference_empty_set])).
% 28.44/28.64 fof(c6,negated_conjecture,(?[B]:(?[C]:intersection(difference(B,C),C)!=empty_set)),inference(fof_nnf,[status(thm)],[c5])).
% 28.44/28.64 fof(c7,negated_conjecture,(?[X2]:(?[X3]:intersection(difference(X2,X3),X3)!=empty_set)),inference(variable_rename,[status(thm)],[c6])).
% 28.44/28.64 fof(c8,negated_conjecture,intersection(difference(skolem0001,skolem0002),skolem0002)!=empty_set,inference(skolemize,[status(esa)],[c7])).
% 28.44/28.64 cnf(c9,negated_conjecture,intersection(difference(skolem0001,skolem0002),skolem0002)!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 28.44/28.64 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 28.44/28.64 fof(c49,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 28.44/28.64 fof(c50,plain,(![X28]:~member(X28,empty_set)),inference(variable_rename,[status(thm)],[c49])).
% 28.44/28.64 cnf(c51,plain,~member(X43,empty_set),inference(split_conjunct,[status(thm)],[c50])).
% 28.44/28.64 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)).
% 28.44/28.64 fof(c30,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])).
% 28.44/28.64 fof(c31,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)],[c30])).
% 28.44/28.64 fof(c32,plain,((![X16]:(![X17]:(~subset(X16,X17)|(![X18]:(~member(X18,X16)|member(X18,X17))))))&(![X19]:(![X20]:((?[X21]:(member(X21,X19)&~member(X21,X20)))|subset(X19,X20))))),inference(variable_rename,[status(thm)],[c31])).
% 28.44/28.64 fof(c34,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((~subset(X16,X17)|(~member(X18,X16)|member(X18,X17)))&((member(skolem0005(X19,X20),X19)&~member(skolem0005(X19,X20),X20))|subset(X19,X20)))))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((![X16]:(![X17]:(~subset(X16,X17)|(![X18]:(~member(X18,X16)|member(X18,X17))))))&(![X19]:(![X20]:((member(skolem0005(X19,X20),X19)&~member(skolem0005(X19,X20),X20))|subset(X19,X20))))),inference(skolemize,[status(esa)],[c32])).])).
% 28.44/28.64 fof(c35,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((~subset(X16,X17)|(~member(X18,X16)|member(X18,X17)))&((member(skolem0005(X19,X20),X19)|subset(X19,X20))&(~member(skolem0005(X19,X20),X20)|subset(X19,X20))))))))),inference(distribute,[status(thm)],[c34])).
% 28.44/28.64 cnf(c37,plain,member(skolem0005(X87,X86),X87)|subset(X87,X86),inference(split_conjunct,[status(thm)],[c35])).
% 28.44/28.64 cnf(c90,plain,subset(empty_set,X88),inference(resolution,[status(thm)],[c37, c51])).
% 28.44/28.64 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 28.44/28.64 fof(c41,plain,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,[status(thm)],[equal_defn])).
% 28.44/28.64 fof(c42,plain,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,[status(thm)],[c41])).
% 28.44/28.64 fof(c44,plain,(![X24]:(![X25]:(![X26]:(![X27]:((X24!=X25|(subset(X24,X25)&subset(X25,X24)))&((~subset(X26,X27)|~subset(X27,X26))|X26=X27)))))),inference(shift_quantors,[status(thm)],[fof(c43,plain,((![X24]:(![X25]:(X24!=X25|(subset(X24,X25)&subset(X25,X24)))))&(![X26]:(![X27]:((~subset(X26,X27)|~subset(X27,X26))|X26=X27)))),inference(variable_rename,[status(thm)],[c42])).])).
% 28.44/28.64 fof(c45,plain,(![X24]:(![X25]:(![X26]:(![X27]:(((X24!=X25|subset(X24,X25))&(X24!=X25|subset(X25,X24)))&((~subset(X26,X27)|~subset(X27,X26))|X26=X27)))))),inference(distribute,[status(thm)],[c44])).
% 28.44/28.64 cnf(c48,plain,~subset(X125,X126)|~subset(X126,X125)|X125=X126,inference(split_conjunct,[status(thm)],[c45])).
% 28.44/28.64 cnf(c127,plain,~subset(X129,empty_set)|X129=empty_set,inference(resolution,[status(thm)],[c48, c90])).
% 28.44/28.64 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)).
% 28.44/28.64 fof(c61,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])).
% 28.44/28.64 fof(c62,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)],[c61])).
% 28.44/28.64 fof(c64,plain,(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:((~member(X37,intersection(X35,X36))|(member(X37,X35)&member(X37,X36)))&((~member(X40,X38)|~member(X40,X39))|member(X40,intersection(X38,X39)))))))))),inference(shift_quantors,[status(thm)],[fof(c63,plain,((![X35]:(![X36]:(![X37]:(~member(X37,intersection(X35,X36))|(member(X37,X35)&member(X37,X36))))))&(![X38]:(![X39]:(![X40]:((~member(X40,X38)|~member(X40,X39))|member(X40,intersection(X38,X39))))))),inference(variable_rename,[status(thm)],[c62])).])).
% 28.44/28.64 fof(c65,plain,(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(((~member(X37,intersection(X35,X36))|member(X37,X35))&(~member(X37,intersection(X35,X36))|member(X37,X36)))&((~member(X40,X38)|~member(X40,X39))|member(X40,intersection(X38,X39)))))))))),inference(distribute,[status(thm)],[c64])).
% 28.44/28.64 cnf(c67,plain,~member(X113,intersection(X114,X115))|member(X113,X115),inference(split_conjunct,[status(thm)],[c65])).
% 28.44/28.64 cnf(c113,plain,member(skolem0005(intersection(X382,X380),X381),X380)|subset(intersection(X382,X380),X381),inference(resolution,[status(thm)],[c67, c37])).
% 28.44/28.64 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 28.44/28.64 fof(c52,plain,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,[status(thm)],[difference_defn])).
% 28.44/28.64 fof(c53,plain,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,[status(thm)],[c52])).
% 28.44/28.64 fof(c54,plain,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,[status(thm)],[c53])).
% 28.44/28.64 fof(c56,plain,(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:(![X34]:((~member(X31,difference(X29,X30))|(member(X31,X29)&~member(X31,X30)))&((~member(X34,X32)|member(X34,X33))|member(X34,difference(X32,X33)))))))))),inference(shift_quantors,[status(thm)],[fof(c55,plain,((![X29]:(![X30]:(![X31]:(~member(X31,difference(X29,X30))|(member(X31,X29)&~member(X31,X30))))))&(![X32]:(![X33]:(![X34]:((~member(X34,X32)|member(X34,X33))|member(X34,difference(X32,X33))))))),inference(variable_rename,[status(thm)],[c54])).])).
% 28.44/28.64 fof(c57,plain,(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:(![X34]:(((~member(X31,difference(X29,X30))|member(X31,X29))&(~member(X31,difference(X29,X30))|~member(X31,X30)))&((~member(X34,X32)|member(X34,X33))|member(X34,difference(X32,X33)))))))))),inference(distribute,[status(thm)],[c56])).
% 28.44/28.64 cnf(c59,plain,~member(X108,difference(X109,X107))|~member(X108,X107),inference(split_conjunct,[status(thm)],[c57])).
% 28.44/28.64 cnf(c66,plain,~member(X110,intersection(X111,X112))|member(X110,X111),inference(split_conjunct,[status(thm)],[c65])).
% 28.44/28.64 cnf(c110,plain,member(skolem0005(intersection(X354,X355),X356),X354)|subset(intersection(X354,X355),X356),inference(resolution,[status(thm)],[c66, c37])).
% 28.44/28.64 cnf(c758,plain,subset(intersection(difference(X5857,X5860),X5859),X5858)|~member(skolem0005(intersection(difference(X5857,X5860),X5859),X5858),X5860),inference(resolution,[status(thm)],[c110, c59])).
% 28.44/28.64 cnf(c51298,plain,subset(intersection(difference(X5861,X5863),X5863),X5862),inference(resolution,[status(thm)],[c758, c113])).
% 28.44/28.64 cnf(c51331,plain,intersection(difference(X5864,X5865),X5865)=empty_set,inference(resolution,[status(thm)],[c51298, c127])).
% 28.44/28.64 cnf(c51430,plain,$false,inference(resolution,[status(thm)],[c51331, c9])).
% 28.44/28.64 % SZS output end CNFRefutation
% 28.44/28.64
% 28.44/28.64 % Initial clauses : 30
% 28.44/28.64 % Processed clauses : 870
% 28.44/28.64 % Factors computed : 44
% 28.44/28.64 % Resolvents computed: 51362
% 28.44/28.64 % Tautologies deleted: 14
% 28.44/28.64 % Forward subsumed : 2154
% 28.44/28.64 % Backward subsumed : 28
% 28.44/28.64 % -------- CPU Time ---------
% 28.44/28.64 % User time : 28.148 s
% 28.44/28.64 % System time : 0.124 s
% 28.44/28.64 % Total time : 28.272 s
%------------------------------------------------------------------------------