%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET591+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET591+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n007.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 18:56:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.59/0.80 % Version: 1.5
% 0.59/0.80 % SZS status Theorem
% 0.59/0.80 % SZS output start CNFRefutation
% 0.59/0.80 fof(prove_th50,conjecture,(![B]:(![C]:(subset(B,difference(C,B))=>B=empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th50)).
% 0.59/0.80 fof(c4,negated_conjecture,(~(![B]:(![C]:(subset(B,difference(C,B))=>B=empty_set)))),inference(assume_negation,[status(cth)],[prove_th50])).
% 0.59/0.80 fof(c5,negated_conjecture,(?[B]:(?[C]:(subset(B,difference(C,B))&B!=empty_set))),inference(fof_nnf,[status(thm)],[c4])).
% 0.59/0.80 fof(c6,negated_conjecture,(?[B]:((?[C]:subset(B,difference(C,B)))&B!=empty_set)),inference(shift_quantors,[status(thm)],[c5])).
% 0.59/0.80 fof(c7,negated_conjecture,(?[X2]:((?[X3]:subset(X2,difference(X3,X2)))&X2!=empty_set)),inference(variable_rename,[status(thm)],[c6])).
% 0.59/0.80 fof(c8,negated_conjecture,(subset(skolem0001,difference(skolem0002,skolem0001))&skolem0001!=empty_set),inference(skolemize,[status(esa)],[c7])).
% 0.59/0.80 cnf(c10,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 0.59/0.80 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_defn)).
% 0.59/0.80 fof(c11,plain,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,[status(thm)],[empty_defn])).
% 0.59/0.80 fof(c12,plain,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,[status(thm)],[c11])).
% 0.59/0.80 fof(c13,plain,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,[status(thm)],[c12])).
% 0.59/0.80 fof(c14,plain,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:((?[X7]:member(X7,X6))|empty(X6)))),inference(variable_rename,[status(thm)],[c13])).
% 0.59/0.80 fof(c16,plain,(![X4]:(![X5]:(![X6]:((~empty(X4)|~member(X5,X4))&(member(skolem0003(X6),X6)|empty(X6)))))),inference(shift_quantors,[status(thm)],[fof(c15,plain,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:(member(skolem0003(X6),X6)|empty(X6)))),inference(skolemize,[status(esa)],[c14])).])).
% 0.59/0.80 cnf(c18,plain,member(skolem0003(X46),X46)|empty(X46),inference(split_conjunct,[status(thm)],[c16])).
% 0.59/0.80 cnf(c17,plain,~empty(X29)|~member(X30,X29),inference(split_conjunct,[status(thm)],[c16])).
% 0.59/0.80 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)).
% 0.59/0.80 fof(c41,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])).
% 0.59/0.80 fof(c42,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)],[c41])).
% 0.59/0.80 fof(c43,plain,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((?[X25]:(member(X25,X23)&~member(X25,X24)))|subset(X23,X24))))),inference(variable_rename,[status(thm)],[c42])).
% 0.59/0.80 fof(c45,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0004(X23,X24),X23)&~member(skolem0004(X23,X24),X24))|subset(X23,X24)))))))),inference(shift_quantors,[status(thm)],[fof(c44,plain,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((member(skolem0004(X23,X24),X23)&~member(skolem0004(X23,X24),X24))|subset(X23,X24))))),inference(skolemize,[status(esa)],[c43])).])).
% 0.59/0.80 fof(c46,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0004(X23,X24),X23)|subset(X23,X24))&(~member(skolem0004(X23,X24),X24)|subset(X23,X24))))))))),inference(distribute,[status(thm)],[c45])).
% 0.59/0.80 cnf(c48,plain,member(skolem0004(X65,X66),X65)|subset(X65,X66),inference(split_conjunct,[status(thm)],[c46])).
% 0.59/0.80 cnf(c66,plain,subset(X68,X69)|~empty(X68),inference(resolution,[status(thm)],[c48, c17])).
% 0.59/0.80 cnf(c71,plain,subset(X71,X72)|member(skolem0003(X71),X71),inference(resolution,[status(thm)],[c66, c18])).
% 0.59/0.80 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.59/0.80 fof(c29,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 0.59/0.80 fof(c30,plain,(![X13]:~member(X13,empty_set)),inference(variable_rename,[status(thm)],[c29])).
% 0.59/0.80 cnf(c31,plain,~member(X28,empty_set),inference(split_conjunct,[status(thm)],[c30])).
% 0.59/0.80 cnf(c64,plain,subset(empty_set,X67),inference(resolution,[status(thm)],[c48, c31])).
% 0.59/0.80 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.59/0.80 fof(c21,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])).
% 0.59/0.80 fof(c22,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)],[c21])).
% 0.59/0.80 fof(c24,plain,(![X9]:(![X10]:(![X11]:(![X12]:((X9!=X10|(subset(X9,X10)&subset(X10,X9)))&((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X9]:(![X10]:(X9!=X10|(subset(X9,X10)&subset(X10,X9)))))&(![X11]:(![X12]:((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))),inference(variable_rename,[status(thm)],[c22])).])).
% 0.59/0.80 fof(c25,plain,(![X9]:(![X10]:(![X11]:(![X12]:(((X9!=X10|subset(X9,X10))&(X9!=X10|subset(X10,X9)))&((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))))),inference(distribute,[status(thm)],[c24])).
% 0.59/0.80 cnf(c28,plain,~subset(X83,X84)|~subset(X84,X83)|X83=X84,inference(split_conjunct,[status(thm)],[c25])).
% 0.59/0.80 cnf(c85,plain,~subset(X90,empty_set)|X90=empty_set,inference(resolution,[status(thm)],[c28, c64])).
% 0.59/0.80 cnf(c92,plain,X94=empty_set|member(skolem0003(X94),X94),inference(resolution,[status(thm)],[c85, c71])).
% 0.59/0.80 cnf(c99,plain,member(skolem0003(skolem0001),skolem0001),inference(resolution,[status(thm)],[c92, c10])).
% 0.59/0.80 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)).
% 0.59/0.80 fof(c32,plain,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,[status(thm)],[difference_defn])).
% 0.59/0.80 fof(c33,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)],[c32])).
% 0.59/0.80 fof(c34,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)],[c33])).
% 0.59/0.80 fof(c36,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~member(X16,difference(X14,X15))|(member(X16,X14)&~member(X16,X15)))&((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18)))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X14]:(![X15]:(![X16]:(~member(X16,difference(X14,X15))|(member(X16,X14)&~member(X16,X15))))))&(![X17]:(![X18]:(![X19]:((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18))))))),inference(variable_rename,[status(thm)],[c34])).])).
% 0.59/0.80 fof(c37,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((~member(X16,difference(X14,X15))|member(X16,X14))&(~member(X16,difference(X14,X15))|~member(X16,X15)))&((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18)))))))))),inference(distribute,[status(thm)],[c36])).
% 0.59/0.80 cnf(c39,plain,~member(X59,difference(X60,X58))|~member(X59,X58),inference(split_conjunct,[status(thm)],[c37])).
% 0.59/0.80 cnf(c9,negated_conjecture,subset(skolem0001,difference(skolem0002,skolem0001)),inference(split_conjunct,[status(thm)],[c8])).
% 0.59/0.80 cnf(c47,plain,~subset(X91,X93)|~member(X92,X91)|member(X92,X93),inference(split_conjunct,[status(thm)],[c46])).
% 0.59/0.80 cnf(c114,plain,~subset(skolem0001,X257)|member(skolem0003(skolem0001),X257),inference(resolution,[status(thm)],[c99, c47])).
% 0.59/0.80 cnf(c319,plain,member(skolem0003(skolem0001),difference(skolem0002,skolem0001)),inference(resolution,[status(thm)],[c114, c9])).
% 0.59/0.80 cnf(c598,plain,~member(skolem0003(skolem0001),skolem0001),inference(resolution,[status(thm)],[c319, c39])).
% 0.59/0.80 cnf(c625,plain,$false,inference(resolution,[status(thm)],[c598, c99])).
% 0.59/0.80 % SZS output end CNFRefutation
% 0.59/0.80
% 0.59/0.80 % Initial clauses : 22
% 0.59/0.80 % Processed clauses : 96
% 0.59/0.80 % Factors computed : 7
% 0.59/0.80 % Resolvents computed: 576
% 0.59/0.80 % Tautologies deleted: 4
% 0.59/0.80 % Forward subsumed : 112
% 0.59/0.80 % Backward subsumed : 2
% 0.59/0.80 % -------- CPU Time ---------
% 0.59/0.80 % User time : 0.411 s
% 0.59/0.80 % System time : 0.015 s
% 0.59/0.80 % Total time : 0.426 s
%------------------------------------------------------------------------------