%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:39:46 EDT 2024
% Result : Theorem 0.93s 1.12s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n021.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
% 0.14/0.37 % CPUTime :
% 0.93/1.12 % Version: 1.5
% 0.93/1.12 % SZS status Theorem
% 0.93/1.12 % SZS output start CNFRefutation
% 0.93/1.12 fof(prove_th48,conjecture,(![B]:(![C]:(![D]:(![E]:((subset(B,C)&subset(D,E))=>subset(difference(B,E),difference(C,D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th48)).
% 0.93/1.12 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:(![E]:((subset(B,C)&subset(D,E))=>subset(difference(B,E),difference(C,D)))))))),inference(assume_negation,[status(cth)],[prove_th48])).
% 0.93/1.12 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:(?[E]:((subset(B,C)&subset(D,E))&~subset(difference(B,E),difference(C,D))))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.93/1.12 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((subset(X2,X3)&subset(X4,X5))&~subset(difference(X2,X5),difference(X3,X4))))))),inference(variable_rename,[status(thm)],[c1])).
% 0.93/1.12 fof(c3,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0003,skolem0004))&~subset(difference(skolem0001,skolem0004),difference(skolem0002,skolem0003))),inference(skolemize,[status(esa)],[c2])).
% 0.93/1.12 cnf(c6,negated_conjecture,~subset(difference(skolem0001,skolem0004),difference(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c3])).
% 0.93/1.12 cnf(c4,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.93/1.12 fof(difference_subset1,axiom,(![B]:(![C]:(![D]:(subset(B,C)=>subset(difference(B,D),difference(C,D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_subset1)).
% 0.93/1.12 fof(c32,plain,(![B]:(![C]:(![D]:(~subset(B,C)|subset(difference(B,D),difference(C,D)))))),inference(fof_nnf,[status(thm)],[difference_subset1])).
% 0.93/1.12 fof(c33,plain,(![B]:(![C]:(~subset(B,C)|(![D]:subset(difference(B,D),difference(C,D)))))),inference(shift_quantors,[status(thm)],[c32])).
% 0.93/1.12 fof(c35,plain,(![X22]:(![X23]:(![X24]:(~subset(X22,X23)|subset(difference(X22,X24),difference(X23,X24)))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,(![X22]:(![X23]:(~subset(X22,X23)|(![X24]:subset(difference(X22,X24),difference(X23,X24)))))),inference(variable_rename,[status(thm)],[c33])).])).
% 0.93/1.12 cnf(c36,plain,~subset(X64,X62)|subset(difference(X64,X63),difference(X62,X63)),inference(split_conjunct,[status(thm)],[c35])).
% 0.93/1.12 cnf(c74,plain,subset(difference(skolem0001,X67),difference(skolem0002,X67)),inference(resolution,[status(thm)],[c36, c4])).
% 0.93/1.12 fof(transitivity_of_subset,axiom,(![B]:(![C]:(![D]:((subset(B,C)&subset(C,D))=>subset(B,D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity_of_subset)).
% 0.93/1.12 fof(c37,plain,(![B]:(![C]:(![D]:((~subset(B,C)|~subset(C,D))|subset(B,D))))),inference(fof_nnf,[status(thm)],[transitivity_of_subset])).
% 0.93/1.12 fof(c38,plain,(![X25]:(![X26]:(![X27]:((~subset(X25,X26)|~subset(X26,X27))|subset(X25,X27))))),inference(variable_rename,[status(thm)],[c37])).
% 0.93/1.12 cnf(c39,plain,~subset(X45,X44)|~subset(X44,X43)|subset(X45,X43),inference(split_conjunct,[status(thm)],[c38])).
% 0.93/1.12 cnf(c5,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c3])).
% 0.93/1.12 fof(difference_subset2,axiom,(![B]:(![C]:(![D]:(subset(B,C)=>subset(difference(D,C),difference(D,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_subset2)).
% 0.93/1.12 fof(c27,plain,(![B]:(![C]:(![D]:(~subset(B,C)|subset(difference(D,C),difference(D,B)))))),inference(fof_nnf,[status(thm)],[difference_subset2])).
% 0.93/1.12 fof(c28,plain,(![B]:(![C]:(~subset(B,C)|(![D]:subset(difference(D,C),difference(D,B)))))),inference(shift_quantors,[status(thm)],[c27])).
% 0.93/1.12 fof(c30,plain,(![X19]:(![X20]:(![X21]:(~subset(X19,X20)|subset(difference(X21,X20),difference(X21,X19)))))),inference(shift_quantors,[status(thm)],[fof(c29,plain,(![X19]:(![X20]:(~subset(X19,X20)|(![X21]:subset(difference(X21,X20),difference(X21,X19)))))),inference(variable_rename,[status(thm)],[c28])).])).
% 0.93/1.12 cnf(c31,plain,~subset(X55,X56)|subset(difference(X54,X56),difference(X54,X55)),inference(split_conjunct,[status(thm)],[c30])).
% 0.93/1.12 cnf(c57,plain,subset(difference(X60,skolem0004),difference(X60,skolem0003)),inference(resolution,[status(thm)],[c31, c5])).
% 0.93/1.12 cnf(c62,plain,~subset(X159,difference(X160,skolem0004))|subset(X159,difference(X160,skolem0003)),inference(resolution,[status(thm)],[c57, c39])).
% 0.93/1.12 cnf(c303,plain,subset(difference(skolem0001,skolem0004),difference(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c62, c74])).
% 0.93/1.12 cnf(c1650,plain,$false,inference(resolution,[status(thm)],[c303, c6])).
% 0.93/1.12 % SZS output end CNFRefutation
% 0.93/1.12
% 0.93/1.12 % Initial clauses : 13
% 0.93/1.12 % Processed clauses : 112
% 0.93/1.12 % Factors computed : 5
% 0.93/1.12 % Resolvents computed: 1635
% 0.93/1.12 % Tautologies deleted: 2
% 0.93/1.12 % Forward subsumed : 216
% 0.93/1.12 % Backward subsumed : 0
% 0.93/1.12 % -------- CPU Time ---------
% 0.93/1.12 % User time : 0.730 s
% 0.93/1.12 % System time : 0.021 s
% 0.93/1.12 % Total time : 0.751 s
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