TSTP Solution File: SET194+3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:58:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.37/0.60 % Version: 1.5
% 0.37/0.60 % SZS status Theorem
% 0.37/0.60 % SZS output start CNFRefutation
% 0.37/0.60 fof(prove_subset_of_union,conjecture,(![B]:(![C]:subset(B,union(B,C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_of_union)).
% 0.37/0.60 fof(c3,negated_conjecture,(~(![B]:(![C]:subset(B,union(B,C))))),inference(assume_negation,[status(cth)],[prove_subset_of_union])).
% 0.37/0.60 fof(c4,negated_conjecture,(?[B]:(?[C]:~subset(B,union(B,C)))),inference(fof_nnf,[status(thm)],[c3])).
% 0.37/0.60 fof(c5,negated_conjecture,(?[X2]:(?[X3]:~subset(X2,union(X2,X3)))),inference(variable_rename,[status(thm)],[c4])).
% 0.37/0.60 fof(c6,negated_conjecture,~subset(skolem0001,union(skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c5])).
% 0.37/0.60 cnf(c7,negated_conjecture,~subset(skolem0001,union(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c6])).
% 0.37/0.60 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)).
% 0.37/0.60 fof(c22,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])).
% 0.37/0.60 fof(c23,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)],[c22])).
% 0.37/0.60 fof(c24,plain,((![X14]:(![X15]:(~subset(X14,X15)|(![X16]:(~member(X16,X14)|member(X16,X15))))))&(![X17]:(![X18]:((?[X19]:(member(X19,X17)&~member(X19,X18)))|subset(X17,X18))))),inference(variable_rename,[status(thm)],[c23])).
% 0.37/0.60 fof(c26,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((~subset(X14,X15)|(~member(X16,X14)|member(X16,X15)))&((member(skolem0004(X17,X18),X17)&~member(skolem0004(X17,X18),X18))|subset(X17,X18)))))))),inference(shift_quantors,[status(thm)],[fof(c25,plain,((![X14]:(![X15]:(~subset(X14,X15)|(![X16]:(~member(X16,X14)|member(X16,X15))))))&(![X17]:(![X18]:((member(skolem0004(X17,X18),X17)&~member(skolem0004(X17,X18),X18))|subset(X17,X18))))),inference(skolemize,[status(esa)],[c24])).])).
% 0.37/0.60 fof(c27,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((~subset(X14,X15)|(~member(X16,X14)|member(X16,X15)))&((member(skolem0004(X17,X18),X17)|subset(X17,X18))&(~member(skolem0004(X17,X18),X18)|subset(X17,X18))))))))),inference(distribute,[status(thm)],[c26])).
% 0.37/0.60 cnf(c30,plain,~member(skolem0004(X47,X48),X48)|subset(X47,X48),inference(split_conjunct,[status(thm)],[c27])).
% 0.37/0.60 cnf(c29,plain,member(skolem0004(X41,X42),X41)|subset(X41,X42),inference(split_conjunct,[status(thm)],[c27])).
% 0.37/0.60 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)).
% 0.37/0.60 fof(c31,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])).
% 0.37/0.60 fof(c32,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)],[c31])).
% 0.37/0.60 fof(c34,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:((~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21)))&((~member(X25,X23)&~member(X25,X24))|member(X25,union(X23,X24)))))))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((![X20]:(![X21]:(![X22]:(~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:(![X25]:((~member(X25,X23)&~member(X25,X24))|member(X25,union(X23,X24))))))),inference(variable_rename,[status(thm)],[c32])).])).
% 0.37/0.60 fof(c35,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:((~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21)))&((~member(X25,X23)|member(X25,union(X23,X24)))&(~member(X25,X24)|member(X25,union(X23,X24))))))))))),inference(distribute,[status(thm)],[c34])).
% 0.37/0.60 cnf(c37,plain,~member(X52,X51)|member(X52,union(X51,X50)),inference(split_conjunct,[status(thm)],[c35])).
% 0.37/0.60 cnf(c49,plain,member(skolem0004(X104,X105),union(X104,X106))|subset(X104,X105),inference(resolution,[status(thm)],[c37, c29])).
% 0.37/0.60 cnf(c104,plain,subset(X107,union(X107,X108)),inference(resolution,[status(thm)],[c49, c30])).
% 0.37/0.60 cnf(c109,plain,$false,inference(resolution,[status(thm)],[c104, c7])).
% 0.37/0.60 % SZS output end CNFRefutation
% 0.37/0.60
% 0.37/0.60 % Initial clauses : 19
% 0.37/0.60 % Processed clauses : 27
% 0.37/0.60 % Factors computed : 5
% 0.37/0.60 % Resolvents computed: 66
% 0.37/0.60 % Tautologies deleted: 2
% 0.37/0.60 % Forward subsumed : 11
% 0.37/0.60 % Backward subsumed : 0
% 0.37/0.60 % -------- CPU Time ---------
% 0.37/0.60 % User time : 0.218 s
% 0.37/0.60 % System time : 0.019 s
% 0.37/0.60 % Total time : 0.237 s
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