TSTP Solution File: SET366+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 04:37:29 EDT 2022
% Result : Theorem 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 02:26:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.56 # Version: 1.3
% 0.38/0.56 # SZS status Theorem
% 0.38/0.56 # SZS output start CNFRefutation
% 0.38/0.56 fof(thI47,conjecture,(![A]:member(empty_set,power_set(A))),input).
% 0.38/0.56 fof(c11,negated_conjecture,(~(![A]:member(empty_set,power_set(A)))),inference(assume_negation,status(cth),[thI47])).
% 0.38/0.56 fof(c12,negated_conjecture,(?[A]:~member(empty_set,power_set(A))),inference(fof_nnf,status(thm),[c11])).
% 0.38/0.56 fof(c13,negated_conjecture,(?[X2]:~member(empty_set,power_set(X2))),inference(variable_rename,status(thm),[c12])).
% 0.38/0.56 fof(c14,negated_conjecture,~member(empty_set,power_set(skolem0001)),inference(skolemize,status(esa),[c13])).
% 0.38/0.56 cnf(c15,negated_conjecture,~member(empty_set,power_set(skolem0001)),inference(split_conjunct,status(thm),[c14])).
% 0.38/0.56 fof(power_set,axiom,(![X]:(![A]:(member(X,power_set(A))<=>subset(X,A)))),input).
% 0.38/0.56 fof(c76,axiom,(![X]:(![A]:((~member(X,power_set(A))|subset(X,A))&(~subset(X,A)|member(X,power_set(A)))))),inference(fof_nnf,status(thm),[power_set])).
% 0.38/0.56 fof(c77,axiom,((![X]:(![A]:(~member(X,power_set(A))|subset(X,A))))&(![X]:(![A]:(~subset(X,A)|member(X,power_set(A)))))),inference(shift_quantors,status(thm),[c76])).
% 0.38/0.56 fof(c79,axiom,(![X44]:(![X45]:(![X46]:(![X47]:((~member(X44,power_set(X45))|subset(X44,X45))&(~subset(X46,X47)|member(X46,power_set(X47)))))))),inference(shift_quantors,status(thm),[fof(c78,axiom,((![X44]:(![X45]:(~member(X44,power_set(X45))|subset(X44,X45))))&(![X46]:(![X47]:(~subset(X46,X47)|member(X46,power_set(X47)))))),inference(variable_rename,status(thm),[c77])).])).
% 0.38/0.56 cnf(c81,axiom,~subset(X83,X84)|member(X83,power_set(X84)),inference(split_conjunct,status(thm),[c79])).
% 0.38/0.56 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),input).
% 0.38/0.56 fof(c57,axiom,(![X]:~member(X,empty_set)),inference(fof_simplification,status(thm),[empty_set])).
% 0.38/0.56 fof(c58,axiom,(![X31]:~member(X31,empty_set)),inference(variable_rename,status(thm),[c57])).
% 0.38/0.56 cnf(c59,axiom,~member(X59,empty_set),inference(split_conjunct,status(thm),[c58])).
% 0.38/0.56 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 0.38/0.56 fof(c90,axiom,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[subset])).
% 0.38/0.56 fof(c91,axiom,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c90])).
% 0.38/0.56 fof(c92,axiom,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((?[X57]:(member(X57,X55)&~member(X57,X56)))|subset(X55,X56))))),inference(variable_rename,status(thm),[c91])).
% 0.38/0.56 fof(c94,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56)))))))),inference(shift_quantors,status(thm),[fof(c93,axiom,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56))))),inference(skolemize,status(esa),[c92])).])).
% 0.38/0.56 fof(c95,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)|subset(X55,X56))&(~member(skolem0004(X55,X56),X56)|subset(X55,X56))))))))),inference(distribute,status(thm),[c94])).
% 0.38/0.56 cnf(c97,axiom,member(skolem0004(X145,X144),X145)|subset(X145,X144),inference(split_conjunct,status(thm),[c95])).
% 0.38/0.56 cnf(c135,plain,subset(empty_set,X146),inference(resolution,status(thm),[c97, c59])).
% 0.38/0.56 cnf(c138,plain,member(empty_set,power_set(X147)),inference(resolution,status(thm),[c135, c81])).
% 0.38/0.56 cnf(c142,plain,$false,inference(resolution,status(thm),[c138, c15])).
% 0.38/0.56 # SZS output end CNFRefutation
% 0.38/0.56
% 0.38/0.56 # Initial clauses : 44
% 0.38/0.56 # Processed clauses : 37
% 0.38/0.56 # Factors computed : 0
% 0.38/0.56 # Resolvents computed: 45
% 0.38/0.56 # Tautologies deleted: 1
% 0.38/0.56 # Forward subsumed : 4
% 0.38/0.56 # Backward subsumed : 0
% 0.38/0.56 # -------- CPU Time ---------
% 0.38/0.56 # User time : 0.202 s
% 0.38/0.56 # System time : 0.019 s
% 0.38/0.56 # Total time : 0.221 s
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