%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET062+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 17:39:02 EDT 2024
% Result : Theorem 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Wed May 8 18:55:37 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.15/0.45 % Version: 1.5
% 0.15/0.45 % SZS status Theorem
% 0.15/0.45 % SZS output start CNFRefutation
% 0.15/0.45 fof(prove_empty_set_subset,conjecture,(![B]:subset(empty_set,B)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_empty_set_subset)).
% 0.15/0.45 fof(c0,negated_conjecture,(~(![B]:subset(empty_set,B))),inference(assume_negation,[status(cth)],[prove_empty_set_subset])).
% 0.15/0.45 fof(c1,negated_conjecture,(?[B]:~subset(empty_set,B)),inference(fof_nnf,[status(thm)],[c0])).
% 0.15/0.45 fof(c2,negated_conjecture,(?[X2]:~subset(empty_set,X2)),inference(variable_rename,[status(thm)],[c1])).
% 0.15/0.45 fof(c3,negated_conjecture,~subset(empty_set,skolem0001),inference(skolemize,[status(esa)],[c2])).
% 0.15/0.45 cnf(c4,negated_conjecture,~subset(empty_set,skolem0001),inference(split_conjunct,[status(thm)],[c3])).
% 0.15/0.45 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.15/0.45 fof(c24,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 0.15/0.45 fof(c25,plain,(![X14]:~member(X14,empty_set)),inference(variable_rename,[status(thm)],[c24])).
% 0.15/0.45 cnf(c26,plain,~member(X16,empty_set),inference(split_conjunct,[status(thm)],[c25])).
% 0.15/0.45 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.15/0.45 fof(c15,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])).
% 0.15/0.45 fof(c16,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)],[c15])).
% 0.15/0.45 fof(c17,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(member(X13,X11)&~member(X13,X12)))|subset(X11,X12))))),inference(variable_rename,[status(thm)],[c16])).
% 0.15/0.45 fof(c19,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0003(X11,X12),X11)&~member(skolem0003(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,[status(thm)],[fof(c18,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((member(skolem0003(X11,X12),X11)&~member(skolem0003(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,[status(esa)],[c17])).])).
% 0.15/0.45 fof(c20,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0003(X11,X12),X11)|subset(X11,X12))&(~member(skolem0003(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,[status(thm)],[c19])).
% 0.15/0.45 cnf(c22,plain,member(skolem0003(X25,X24),X25)|subset(X25,X24),inference(split_conjunct,[status(thm)],[c20])).
% 0.15/0.45 cnf(c32,plain,subset(empty_set,X26),inference(resolution,[status(thm)],[c22, c26])).
% 0.15/0.45 cnf(c34,plain,$false,inference(resolution,[status(thm)],[c32, c4])).
% 0.15/0.45 % SZS output end CNFRefutation
% 0.15/0.45
% 0.15/0.45 % Initial clauses : 8
% 0.15/0.45 % Processed clauses : 9
% 0.15/0.45 % Factors computed : 0
% 0.15/0.45 % Resolvents computed: 8
% 0.15/0.45 % Tautologies deleted: 1
% 0.15/0.45 % Forward subsumed : 0
% 0.15/0.45 % Backward subsumed : 0
% 0.15/0.45 % -------- CPU Time ---------
% 0.15/0.45 % User time : 0.136 s
% 0.15/0.45 % System time : 0.009 s
% 0.15/0.45 % Total time : 0.145 s
%------------------------------------------------------------------------------