%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:39:49 EDT 2024
% Result : Theorem 0.46s 0.68s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 19:23:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.46/0.68 % Version: 1.5
% 0.46/0.68 % SZS status Theorem
% 0.46/0.68 % SZS output start CNFRefutation
% 0.46/0.68 fof(prove_th76,conjecture,(![B]:(![C]:difference(B,union(B,C))=empty_set)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th76)).
% 0.46/0.68 fof(c5,negated_conjecture,(~(![B]:(![C]:difference(B,union(B,C))=empty_set))),inference(assume_negation,[status(cth)],[prove_th76])).
% 0.46/0.68 fof(c6,negated_conjecture,(?[B]:(?[C]:difference(B,union(B,C))!=empty_set)),inference(fof_nnf,[status(thm)],[c5])).
% 0.46/0.68 fof(c7,negated_conjecture,(?[X2]:(?[X3]:difference(X2,union(X2,X3))!=empty_set)),inference(variable_rename,[status(thm)],[c6])).
% 0.46/0.68 fof(c8,negated_conjecture,difference(skolem0001,union(skolem0001,skolem0002))!=empty_set,inference(skolemize,[status(esa)],[c7])).
% 0.46/0.68 cnf(c9,negated_conjecture,difference(skolem0001,union(skolem0001,skolem0002))!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 0.46/0.68 fof(subset_of_union,axiom,(![B]:(![C]:subset(B,union(B,C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_of_union)).
% 0.46/0.68 fof(c75,plain,(![X45]:(![X46]:subset(X45,union(X45,X46)))),inference(variable_rename,[status(thm)],[subset_of_union])).
% 0.46/0.68 cnf(c76,plain,subset(X52,union(X52,X53)),inference(split_conjunct,[status(thm)],[c75])).
% 0.46/0.68 fof(difference_empty_set,axiom,(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_empty_set)).
% 0.46/0.68 fof(c69,plain,(![B]:(![C]:((difference(B,C)!=empty_set|subset(B,C))&(~subset(B,C)|difference(B,C)=empty_set)))),inference(fof_nnf,[status(thm)],[difference_empty_set])).
% 0.46/0.68 fof(c70,plain,((![B]:(![C]:(difference(B,C)!=empty_set|subset(B,C))))&(![B]:(![C]:(~subset(B,C)|difference(B,C)=empty_set)))),inference(shift_quantors,[status(thm)],[c69])).
% 0.46/0.68 fof(c72,plain,(![X41]:(![X42]:(![X43]:(![X44]:((difference(X41,X42)!=empty_set|subset(X41,X42))&(~subset(X43,X44)|difference(X43,X44)=empty_set)))))),inference(shift_quantors,[status(thm)],[fof(c71,plain,((![X41]:(![X42]:(difference(X41,X42)!=empty_set|subset(X41,X42))))&(![X43]:(![X44]:(~subset(X43,X44)|difference(X43,X44)=empty_set)))),inference(variable_rename,[status(thm)],[c70])).])).
% 0.46/0.68 cnf(c74,plain,~subset(X163,X164)|difference(X163,X164)=empty_set,inference(split_conjunct,[status(thm)],[c72])).
% 0.46/0.68 cnf(c233,plain,difference(X215,union(X215,X216))=empty_set,inference(resolution,[status(thm)],[c74, c76])).
% 0.46/0.68 cnf(c337,plain,$false,inference(resolution,[status(thm)],[c233, c9])).
% 0.46/0.68 % SZS output end CNFRefutation
% 0.46/0.68
% 0.46/0.68 % Initial clauses : 33
% 0.46/0.68 % Processed clauses : 59
% 0.46/0.68 % Factors computed : 6
% 0.46/0.68 % Resolvents computed: 255
% 0.46/0.68 % Tautologies deleted: 4
% 0.46/0.68 % Forward subsumed : 47
% 0.46/0.68 % Backward subsumed : 2
% 0.46/0.68 % -------- CPU Time ---------
% 0.46/0.68 % User time : 0.314 s
% 0.46/0.68 % System time : 0.020 s
% 0.46/0.68 % Total time : 0.334 s
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