TSTP Solution File: SET062+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 : 600s
% DateTime : Tue Jul 19 04:35:02 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jul 10 12:18:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 # Version: 1.3
% 0.20/0.51 # SZS status Theorem
% 0.20/0.51 # SZS output start CNFRefutation
% 0.20/0.51 fof(prove_empty_set_subset,conjecture,(![B]:subset(empty_set,B)),input).
% 0.20/0.51 fof(c0,negated_conjecture,(~(![B]:subset(empty_set,B))),inference(assume_negation,status(cth),[prove_empty_set_subset])).
% 0.20/0.51 fof(c1,negated_conjecture,(?[B]:~subset(empty_set,B)),inference(fof_nnf,status(thm),[c0])).
% 0.20/0.51 fof(c2,negated_conjecture,(?[X2]:~subset(empty_set,X2)),inference(variable_rename,status(thm),[c1])).
% 0.20/0.51 fof(c3,negated_conjecture,~subset(empty_set,skolem0001),inference(skolemize,status(esa),[c2])).
% 0.20/0.51 cnf(c4,negated_conjecture,~subset(empty_set,skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.20/0.51 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),input).
% 0.20/0.51 fof(c24,axiom,(![B]:~member(B,empty_set)),inference(fof_simplification,status(thm),[empty_set_defn])).
% 0.20/0.51 fof(c25,axiom,(![X14]:~member(X14,empty_set)),inference(variable_rename,status(thm),[c24])).
% 0.20/0.51 cnf(c26,axiom,~member(X16,empty_set),inference(split_conjunct,status(thm),[c25])).
% 0.20/0.51 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 0.20/0.51 fof(c15,axiom,(![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])).
% 0.20/0.51 fof(c16,axiom,((![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])).
% 0.20/0.51 fof(c17,axiom,((![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])).
% 0.20/0.51 fof(c19,axiom,(![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,axiom,((![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])).])).
% 0.20/0.51 fof(c20,axiom,(![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])).
% 0.20/0.51 cnf(c22,axiom,member(skolem0003(X25,X24),X25)|subset(X25,X24),inference(split_conjunct,status(thm),[c20])).
% 0.20/0.51 cnf(c32,plain,subset(empty_set,X26),inference(resolution,status(thm),[c22, c26])).
% 0.20/0.51 cnf(c34,plain,$false,inference(resolution,status(thm),[c32, c4])).
% 0.20/0.51 # SZS output end CNFRefutation
% 0.20/0.51
% 0.20/0.51 # Initial clauses : 8
% 0.20/0.51 # Processed clauses : 9
% 0.20/0.51 # Factors computed : 0
% 0.20/0.51 # Resolvents computed: 8
% 0.20/0.51 # Tautologies deleted: 1
% 0.20/0.51 # Forward subsumed : 0
% 0.20/0.51 # Backward subsumed : 0
% 0.20/0.51 # -------- CPU Time ---------
% 0.20/0.51 # User time : 0.151 s
% 0.20/0.51 # System time : 0.019 s
% 0.20/0.51 # Total time : 0.170 s
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