TSTP Solution File: SET705+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 04:39:43 EDT 2022
% Result : Theorem 0.46s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 23:05:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.62 # Version: 1.3
% 0.46/0.62 # SZS status Theorem
% 0.46/0.62 # SZS output start CNFRefutation
% 0.46/0.62 fof(thI48,conjecture,(![A]:member(A,power_set(A))),input).
% 0.46/0.62 fof(c11,negated_conjecture,(~(![A]:member(A,power_set(A)))),inference(assume_negation,status(cth),[thI48])).
% 0.46/0.62 fof(c12,negated_conjecture,(?[A]:~member(A,power_set(A))),inference(fof_nnf,status(thm),[c11])).
% 0.46/0.62 fof(c13,negated_conjecture,(?[X2]:~member(X2,power_set(X2))),inference(variable_rename,status(thm),[c12])).
% 0.46/0.62 fof(c14,negated_conjecture,~member(skolem0001,power_set(skolem0001)),inference(skolemize,status(esa),[c13])).
% 0.46/0.62 cnf(c15,negated_conjecture,~member(skolem0001,power_set(skolem0001)),inference(split_conjunct,status(thm),[c14])).
% 0.46/0.62 fof(power_set,axiom,(![X]:(![A]:(member(X,power_set(A))<=>subset(X,A)))),input).
% 0.46/0.62 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])).
% 0.46/0.62 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])).
% 0.46/0.62 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])).])).
% 0.46/0.62 cnf(c81,axiom,~subset(X84,X83)|member(X84,power_set(X83)),inference(split_conjunct,status(thm),[c79])).
% 0.46/0.62 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 0.46/0.62 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])).
% 0.46/0.62 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])).
% 0.46/0.62 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])).
% 0.46/0.62 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])).])).
% 0.46/0.62 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])).
% 0.46/0.62 cnf(c97,axiom,member(skolem0004(X145,X144),X145)|subset(X145,X144),inference(split_conjunct,status(thm),[c95])).
% 0.46/0.62 cnf(c98,axiom,~member(skolem0004(X158,X157),X157)|subset(X158,X157),inference(split_conjunct,status(thm),[c95])).
% 0.46/0.62 cnf(c147,plain,subset(X159,X159),inference(resolution,status(thm),[c98, c97])).
% 0.46/0.62 cnf(c148,plain,member(X162,power_set(X162)),inference(resolution,status(thm),[c147, c81])).
% 0.46/0.62 cnf(c151,plain,$false,inference(resolution,status(thm),[c148, c15])).
% 0.46/0.62 # SZS output end CNFRefutation
% 0.46/0.62
% 0.46/0.62 # Initial clauses : 44
% 0.46/0.62 # Processed clauses : 43
% 0.46/0.62 # Factors computed : 0
% 0.46/0.62 # Resolvents computed: 55
% 0.46/0.62 # Tautologies deleted: 1
% 0.46/0.62 # Forward subsumed : 5
% 0.46/0.62 # Backward subsumed : 0
% 0.46/0.62 # -------- CPU Time ---------
% 0.46/0.62 # User time : 0.262 s
% 0.46/0.62 # System time : 0.016 s
% 0.46/0.62 # Total time : 0.278 s
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