%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:39:21 EDT 2024
% Result : Theorem 132.56s 132.79s
% Output : Refutation 132.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Wed May 8 18:52:22 EDT 2024
% 0.17/0.31 % CPUTime :
% 132.56/132.79 % Version: 1.5
% 132.56/132.79 % SZS status Theorem
% 132.56/132.79 % SZS output start CNFRefutation
% 132.56/132.79 fof(prove_subset_union,conjecture,(![B]:(![C]:(subset(B,C)=>union(B,C)=C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_union)).
% 132.56/132.79 fof(c3,negated_conjecture,(~(![B]:(![C]:(subset(B,C)=>union(B,C)=C)))),inference(assume_negation,[status(cth)],[prove_subset_union])).
% 132.56/132.79 fof(c4,negated_conjecture,(?[B]:(?[C]:(subset(B,C)&union(B,C)!=C))),inference(fof_nnf,[status(thm)],[c3])).
% 132.56/132.79 fof(c5,negated_conjecture,(?[X2]:(?[X3]:(subset(X2,X3)&union(X2,X3)!=X3))),inference(variable_rename,[status(thm)],[c4])).
% 132.56/132.79 fof(c6,negated_conjecture,(subset(skolem0001,skolem0002)&union(skolem0001,skolem0002)!=skolem0002),inference(skolemize,[status(esa)],[c5])).
% 132.56/132.79 cnf(c8,negated_conjecture,union(skolem0001,skolem0002)!=skolem0002,inference(split_conjunct,[status(thm)],[c6])).
% 132.56/132.79 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 132.56/132.79 fof(c23,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])).
% 132.56/132.79 fof(c24,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)],[c23])).
% 132.56/132.79 fof(c26,plain,(![X14]:(![X15]:(![X16]:(![X17]:((X14!=X15|(subset(X14,X15)&subset(X15,X14)))&((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))))),inference(shift_quantors,[status(thm)],[fof(c25,plain,((![X14]:(![X15]:(X14!=X15|(subset(X14,X15)&subset(X15,X14)))))&(![X16]:(![X17]:((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))),inference(variable_rename,[status(thm)],[c24])).])).
% 132.56/132.79 fof(c27,plain,(![X14]:(![X15]:(![X16]:(![X17]:(((X14!=X15|subset(X14,X15))&(X14!=X15|subset(X15,X14)))&((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))))),inference(distribute,[status(thm)],[c26])).
% 132.56/132.79 cnf(c30,plain,~subset(X84,X85)|~subset(X85,X84)|X84=X85,inference(split_conjunct,[status(thm)],[c27])).
% 132.56/132.79 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)).
% 132.56/132.79 fof(c31,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])).
% 132.56/132.79 fof(c32,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)],[c31])).
% 132.56/132.79 fof(c33,plain,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~member(X20,X18)|member(X20,X19))))))&(![X21]:(![X22]:((?[X23]:(member(X23,X21)&~member(X23,X22)))|subset(X21,X22))))),inference(variable_rename,[status(thm)],[c32])).
% 132.56/132.79 fof(c35,plain,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~member(X20,X18)|member(X20,X19)))&((member(skolem0004(X21,X22),X21)&~member(skolem0004(X21,X22),X22))|subset(X21,X22)))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~member(X20,X18)|member(X20,X19))))))&(![X21]:(![X22]:((member(skolem0004(X21,X22),X21)&~member(skolem0004(X21,X22),X22))|subset(X21,X22))))),inference(skolemize,[status(esa)],[c33])).])).
% 132.56/132.79 fof(c36,plain,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~member(X20,X18)|member(X20,X19)))&((member(skolem0004(X21,X22),X21)|subset(X21,X22))&(~member(skolem0004(X21,X22),X22)|subset(X21,X22))))))))),inference(distribute,[status(thm)],[c35])).
% 132.56/132.79 cnf(c39,plain,~member(skolem0004(X66,X65),X65)|subset(X66,X65),inference(split_conjunct,[status(thm)],[c36])).
% 132.56/132.79 cnf(c38,plain,member(skolem0004(X64,X63),X64)|subset(X64,X63),inference(split_conjunct,[status(thm)],[c36])).
% 132.56/132.79 fof(union_defn,axiom,(![B]:(![C]:(![D]:(member(D,union(B,C))<=>(member(D,B)|member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 132.56/132.79 fof(c40,plain,(![B]:(![C]:(![D]:((~member(D,union(B,C))|(member(D,B)|member(D,C)))&((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(fof_nnf,[status(thm)],[union_defn])).
% 132.56/132.79 fof(c41,plain,((![B]:(![C]:(![D]:(~member(D,union(B,C))|(member(D,B)|member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(shift_quantors,[status(thm)],[c40])).
% 132.56/132.79 fof(c43,plain,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:((~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25)))&((~member(X29,X27)&~member(X29,X28))|member(X29,union(X27,X28)))))))))),inference(shift_quantors,[status(thm)],[fof(c42,plain,((![X24]:(![X25]:(![X26]:(~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25))))))&(![X27]:(![X28]:(![X29]:((~member(X29,X27)&~member(X29,X28))|member(X29,union(X27,X28))))))),inference(variable_rename,[status(thm)],[c41])).])).
% 132.56/132.79 fof(c44,plain,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:((~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25)))&((~member(X29,X27)|member(X29,union(X27,X28)))&(~member(X29,X28)|member(X29,union(X27,X28))))))))))),inference(distribute,[status(thm)],[c43])).
% 132.56/132.79 cnf(c47,plain,~member(X75,X77)|member(X75,union(X76,X77)),inference(split_conjunct,[status(thm)],[c44])).
% 132.56/132.79 cnf(c67,plain,member(skolem0004(X138,X140),union(X139,X138))|subset(X138,X140),inference(resolution,[status(thm)],[c47, c38])).
% 132.56/132.79 cnf(c140,plain,subset(X141,union(X142,X141)),inference(resolution,[status(thm)],[c67, c39])).
% 132.56/132.79 cnf(c148,plain,~subset(union(X156,X157),X157)|union(X156,X157)=X157,inference(resolution,[status(thm)],[c140, c30])).
% 132.56/132.79 cnf(c7,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 132.56/132.79 cnf(c37,plain,~subset(X92,X93)|~member(X91,X92)|member(X91,X93),inference(split_conjunct,[status(thm)],[c36])).
% 132.56/132.79 cnf(c45,plain,~member(X109,union(X108,X107))|member(X109,X108)|member(X109,X107),inference(split_conjunct,[status(thm)],[c44])).
% 132.56/132.79 cnf(c108,plain,member(skolem0004(union(X593,X592),X594),X593)|member(skolem0004(union(X593,X592),X594),X592)|subset(union(X593,X592),X594),inference(resolution,[status(thm)],[c45, c38])).
% 132.56/132.79 cnf(c1284,plain,member(skolem0004(union(X3568,X3569),X3569),X3568)|subset(union(X3568,X3569),X3569),inference(resolution,[status(thm)],[c108, c39])).
% 132.56/132.79 cnf(c22826,plain,member(skolem0004(union(X8055,X8054),X8054),X8055)|union(X8055,X8054)=X8054,inference(resolution,[status(thm)],[c1284, c148])).
% 132.56/132.79 cnf(c77990,plain,member(skolem0004(union(skolem0001,skolem0002),skolem0002),skolem0001),inference(resolution,[status(thm)],[c22826, c8])).
% 132.56/132.79 cnf(c78285,plain,~subset(skolem0001,X12382)|member(skolem0004(union(skolem0001,skolem0002),skolem0002),X12382),inference(resolution,[status(thm)],[c77990, c37])).
% 132.56/132.79 cnf(c139964,plain,member(skolem0004(union(skolem0001,skolem0002),skolem0002),skolem0002),inference(resolution,[status(thm)],[c78285, c7])).
% 132.56/132.79 cnf(c139993,plain,subset(union(skolem0001,skolem0002),skolem0002),inference(resolution,[status(thm)],[c139964, c39])).
% 132.56/132.79 cnf(c140018,plain,union(skolem0001,skolem0002)=skolem0002,inference(resolution,[status(thm)],[c139993, c148])).
% 132.56/132.79 cnf(c140088,plain,$false,inference(resolution,[status(thm)],[c140018, c8])).
% 132.56/132.79 % SZS output end CNFRefutation
% 132.56/132.79
% 132.56/132.79 % Initial clauses : 23
% 132.56/132.79 % Processed clauses : 1220
% 132.56/132.79 % Factors computed : 492
% 132.56/132.79 % Resolvents computed: 139807
% 132.56/132.79 % Tautologies deleted: 13
% 132.56/132.79 % Forward subsumed : 4053
% 132.56/132.79 % Backward subsumed : 27
% 132.56/132.79 % -------- CPU Time ---------
% 132.56/132.79 % User time : 132.079 s
% 132.56/132.79 % System time : 0.369 s
% 132.56/132.79 % Total time : 132.448 s
%------------------------------------------------------------------------------