TSTP Solution File: SET604+3 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 04:38:55 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n022.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 14:09:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.38/0.55 # Version: 1.3
% 0.38/0.55 # SZS status Theorem
% 0.38/0.55 # SZS output start CNFRefutation
% 0.38/0.55 fof(prove_no_difference_with_empty_set,conjecture,(![B]:difference(empty_set,B)=empty_set),input).
% 0.38/0.55 fof(c4,negated_conjecture,(~(![B]:difference(empty_set,B)=empty_set)),inference(assume_negation,status(cth),[prove_no_difference_with_empty_set])).
% 0.38/0.55 fof(c5,negated_conjecture,(?[B]:difference(empty_set,B)!=empty_set),inference(fof_nnf,status(thm),[c4])).
% 0.38/0.55 fof(c6,negated_conjecture,(?[X2]:difference(empty_set,X2)!=empty_set),inference(variable_rename,status(thm),[c5])).
% 0.38/0.55 fof(c7,negated_conjecture,difference(empty_set,skolem0001)!=empty_set,inference(skolemize,status(esa),[c6])).
% 0.38/0.55 cnf(c8,negated_conjecture,difference(empty_set,skolem0001)!=empty_set,inference(split_conjunct,status(thm),[c7])).
% 0.38/0.55 fof(empty_set_subset,axiom,(![B]:subset(empty_set,B)),input).
% 0.38/0.55 fof(c54,axiom,(![X29]:subset(empty_set,X29)),inference(variable_rename,status(thm),[empty_set_subset])).
% 0.38/0.55 cnf(c55,axiom,subset(empty_set,X33),inference(split_conjunct,status(thm),[c54])).
% 0.38/0.55 fof(difference_empty_set,axiom,(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C)))),input).
% 0.38/0.55 fof(c48,axiom,(![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])).
% 0.38/0.55 fof(c49,axiom,((![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),[c48])).
% 0.38/0.55 fof(c51,axiom,(![X25]:(![X26]:(![X27]:(![X28]:((difference(X25,X26)!=empty_set|subset(X25,X26))&(~subset(X27,X28)|difference(X27,X28)=empty_set)))))),inference(shift_quantors,status(thm),[fof(c50,axiom,((![X25]:(![X26]:(difference(X25,X26)!=empty_set|subset(X25,X26))))&(![X27]:(![X28]:(~subset(X27,X28)|difference(X27,X28)=empty_set)))),inference(variable_rename,status(thm),[c49])).])).
% 0.38/0.55 cnf(c53,axiom,~subset(X103,X104)|difference(X103,X104)=empty_set,inference(split_conjunct,status(thm),[c51])).
% 0.38/0.55 cnf(c130,plain,difference(empty_set,X123)=empty_set,inference(resolution,status(thm),[c53, c55])).
% 0.38/0.55 cnf(c170,plain,$false,inference(resolution,status(thm),[c130, c8])).
% 0.38/0.55 # SZS output end CNFRefutation
% 0.38/0.55
% 0.38/0.55 # Initial clauses : 24
% 0.38/0.55 # Processed clauses : 38
% 0.38/0.55 # Factors computed : 0
% 0.38/0.55 # Resolvents computed: 115
% 0.38/0.55 # Tautologies deleted: 3
% 0.38/0.55 # Forward subsumed : 23
% 0.38/0.55 # Backward subsumed : 0
% 0.38/0.55 # -------- CPU Time ---------
% 0.38/0.55 # User time : 0.197 s
% 0.38/0.55 # System time : 0.015 s
% 0.38/0.55 # Total time : 0.212 s
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