TSTP Solution File: SET592+3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET592+3 : TPTP v8.1.2. Released v2.2.0.
% 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 17:39:47 EDT 2024
% Result : Theorem 1.22s 1.45s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET592+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.15 % 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 18:51:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 1.22/1.45 % Version: 1.5
% 1.22/1.45 % SZS status Theorem
% 1.22/1.45 % SZS output start CNFRefutation
% 1.22/1.45 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 1.22/1.45 fof(c60,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 1.22/1.45 fof(c61,plain,(![X35]:~member(X35,empty_set)),inference(variable_rename,[status(thm)],[c60])).
% 1.22/1.45 cnf(c62,plain,~member(X42,empty_set),inference(split_conjunct,[status(thm)],[c61])).
% 1.22/1.45 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_defn)).
% 1.22/1.45 fof(c23,plain,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,[status(thm)],[empty_defn])).
% 1.22/1.45 fof(c24,plain,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,[status(thm)],[c23])).
% 1.22/1.45 fof(c25,plain,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,[status(thm)],[c24])).
% 1.22/1.45 fof(c26,plain,((![X12]:(~empty(X12)|(![X13]:~member(X13,X12))))&(![X14]:((?[X15]:member(X15,X14))|empty(X14)))),inference(variable_rename,[status(thm)],[c25])).
% 1.22/1.45 fof(c28,plain,(![X12]:(![X13]:(![X14]:((~empty(X12)|~member(X13,X12))&(member(skolem0005(X14),X14)|empty(X14)))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X12]:(~empty(X12)|(![X13]:~member(X13,X12))))&(![X14]:(member(skolem0005(X14),X14)|empty(X14)))),inference(skolemize,[status(esa)],[c26])).])).
% 1.22/1.45 cnf(c30,plain,member(skolem0005(X60),X60)|empty(X60),inference(split_conjunct,[status(thm)],[c28])).
% 1.22/1.45 cnf(c74,plain,empty(empty_set),inference(resolution,[status(thm)],[c30, c62])).
% 1.22/1.45 cnf(c3,axiom,X66!=X67|~empty(X66)|empty(X67),theory(equality)).
% 1.22/1.45 cnf(symmetry,axiom,X43!=X44|X44=X43,theory(equality)).
% 1.22/1.45 fof(prove_th51,conjecture,(![B]:(![C]:(![D]:(((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set)=>B=empty_set)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th51)).
% 1.22/1.45 fof(c4,negated_conjecture,(~(![B]:(![C]:(![D]:(((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set)=>B=empty_set))))),inference(assume_negation,[status(cth)],[prove_th51])).
% 1.22/1.45 fof(c5,negated_conjecture,(?[B]:(?[C]:(?[D]:(((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set)&B!=empty_set)))),inference(fof_nnf,[status(thm)],[c4])).
% 1.22/1.45 fof(c6,negated_conjecture,(?[B]:((?[C]:(?[D]:((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set)))&B!=empty_set)),inference(shift_quantors,[status(thm)],[c5])).
% 1.22/1.45 fof(c7,negated_conjecture,(?[X2]:((?[X3]:(?[X4]:((subset(X2,X3)&subset(X2,X4))&intersection(X3,X4)=empty_set)))&X2!=empty_set)),inference(variable_rename,[status(thm)],[c6])).
% 1.22/1.45 fof(c8,negated_conjecture,(((subset(skolem0001,skolem0002)&subset(skolem0001,skolem0003))&intersection(skolem0002,skolem0003)=empty_set)&skolem0001!=empty_set),inference(skolemize,[status(esa)],[c7])).
% 1.22/1.45 cnf(c11,negated_conjecture,intersection(skolem0002,skolem0003)=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 1.22/1.45 cnf(c79,plain,empty_set=intersection(skolem0002,skolem0003),inference(resolution,[status(thm)],[c11, symmetry])).
% 1.22/1.45 cnf(c98,plain,~empty(empty_set)|empty(intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c79, c3])).
% 1.22/1.45 cnf(c350,plain,empty(intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c98, c74])).
% 1.22/1.45 cnf(c29,plain,~empty(X46)|~member(X47,X46),inference(split_conjunct,[status(thm)],[c28])).
% 1.22/1.45 cnf(c12,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 1.22/1.45 fof(subset_of_empty_set_is_empty_set,axiom,(![B]:(subset(B,empty_set)=>B=empty_set)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_of_empty_set_is_empty_set)).
% 1.22/1.45 fof(c66,plain,(![B]:(~subset(B,empty_set)|B=empty_set)),inference(fof_nnf,[status(thm)],[subset_of_empty_set_is_empty_set])).
% 1.22/1.45 fof(c67,plain,(![X39]:(~subset(X39,empty_set)|X39=empty_set)),inference(variable_rename,[status(thm)],[c66])).
% 1.22/1.45 cnf(c68,plain,~subset(X75,empty_set)|X75=empty_set,inference(split_conjunct,[status(thm)],[c67])).
% 1.22/1.45 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)).
% 1.22/1.45 fof(c43,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])).
% 1.22/1.45 fof(c44,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)],[c43])).
% 1.22/1.45 fof(c45,plain,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~member(X25,X23)|member(X25,X24))))))&(![X26]:(![X27]:((?[X28]:(member(X28,X26)&~member(X28,X27)))|subset(X26,X27))))),inference(variable_rename,[status(thm)],[c44])).
% 1.22/1.45 fof(c47,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~member(X25,X23)|member(X25,X24)))&((member(skolem0006(X26,X27),X26)&~member(skolem0006(X26,X27),X27))|subset(X26,X27)))))))),inference(shift_quantors,[status(thm)],[fof(c46,plain,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~member(X25,X23)|member(X25,X24))))))&(![X26]:(![X27]:((member(skolem0006(X26,X27),X26)&~member(skolem0006(X26,X27),X27))|subset(X26,X27))))),inference(skolemize,[status(esa)],[c45])).])).
% 1.22/1.45 fof(c48,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~member(X25,X23)|member(X25,X24)))&((member(skolem0006(X26,X27),X26)|subset(X26,X27))&(~member(skolem0006(X26,X27),X27)|subset(X26,X27))))))))),inference(distribute,[status(thm)],[c47])).
% 1.22/1.45 cnf(c50,plain,member(skolem0006(X90,X89),X90)|subset(X90,X89),inference(split_conjunct,[status(thm)],[c48])).
% 1.22/1.45 cnf(c110,plain,subset(X95,X96)|~empty(X95),inference(resolution,[status(thm)],[c50, c29])).
% 1.22/1.45 cnf(c118,plain,subset(X98,X99)|member(skolem0005(X98),X98),inference(resolution,[status(thm)],[c110, c30])).
% 1.22/1.45 cnf(c120,plain,member(skolem0005(X116),X116)|X116=empty_set,inference(resolution,[status(thm)],[c118, c68])).
% 1.22/1.45 cnf(c170,plain,member(skolem0005(skolem0001),skolem0001),inference(resolution,[status(thm)],[c120, c12])).
% 1.22/1.45 cnf(c49,plain,~subset(X123,X124)|~member(X125,X123)|member(X125,X124),inference(split_conjunct,[status(thm)],[c48])).
% 1.22/1.45 cnf(c193,plain,~subset(skolem0001,X198)|member(skolem0005(skolem0001),X198),inference(resolution,[status(thm)],[c49, c170])).
% 1.22/1.45 cnf(c9,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 1.22/1.45 cnf(c10,negated_conjecture,subset(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c8])).
% 1.22/1.45 fof(intersection_of_subsets,axiom,(![B]:(![C]:(![D]:((subset(B,C)&subset(B,D))=>subset(B,intersection(C,D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_of_subsets)).
% 1.22/1.45 fof(c63,plain,(![B]:(![C]:(![D]:((~subset(B,C)|~subset(B,D))|subset(B,intersection(C,D)))))),inference(fof_nnf,[status(thm)],[intersection_of_subsets])).
% 1.22/1.45 fof(c64,plain,(![X36]:(![X37]:(![X38]:((~subset(X36,X37)|~subset(X36,X38))|subset(X36,intersection(X37,X38)))))),inference(variable_rename,[status(thm)],[c63])).
% 1.22/1.45 cnf(c65,plain,~subset(X139,X137)|~subset(X139,X138)|subset(X139,intersection(X137,X138)),inference(split_conjunct,[status(thm)],[c64])).
% 1.22/1.45 cnf(c222,plain,~subset(skolem0001,X863)|subset(skolem0001,intersection(X863,skolem0003)),inference(resolution,[status(thm)],[c65, c10])).
% 1.22/1.45 cnf(c3609,plain,subset(skolem0001,intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c222, c9])).
% 1.22/1.45 cnf(c3677,plain,member(skolem0005(skolem0001),intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c3609, c193])).
% 1.22/1.45 cnf(c3761,plain,~empty(intersection(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c3677, c29])).
% 1.22/1.45 cnf(c3793,plain,$false,inference(resolution,[status(thm)],[c3761, c350])).
% 1.22/1.45 % SZS output end CNFRefutation
% 1.22/1.45
% 1.22/1.45 % Initial clauses : 31
% 1.22/1.45 % Processed clauses : 268
% 1.22/1.45 % Factors computed : 19
% 1.22/1.45 % Resolvents computed: 3706
% 1.22/1.45 % Tautologies deleted: 7
% 1.22/1.45 % Forward subsumed : 381
% 1.22/1.45 % Backward subsumed : 6
% 1.22/1.45 % -------- CPU Time ---------
% 1.22/1.45 % User time : 1.062 s
% 1.22/1.45 % System time : 0.023 s
% 1.22/1.45 % Total time : 1.085 s
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