TSTP Solution File: SET095+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET095+4 : 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 04:35:37 EDT 2022
% Result : Theorem 3.18s 3.43s
% Output : Refutation 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n022.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 : Mon Jul 11 00:14:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.18/3.43 # Version: 1.3
% 3.18/3.43 # SZS status Theorem
% 3.18/3.43 # SZS output start CNFRefutation
% 3.18/3.43 fof(thI44,conjecture,(![A]:(![X]:(member(X,A)=>subset(singleton(X),A)))),input).
% 3.18/3.43 fof(c11,negated_conjecture,(~(![A]:(![X]:(member(X,A)=>subset(singleton(X),A))))),inference(assume_negation,status(cth),[thI44])).
% 3.18/3.43 fof(c12,negated_conjecture,(?[A]:(?[X]:(member(X,A)&~subset(singleton(X),A)))),inference(fof_nnf,status(thm),[c11])).
% 3.18/3.43 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(member(X3,X2)&~subset(singleton(X3),X2)))),inference(variable_rename,status(thm),[c12])).
% 3.18/3.43 fof(c14,negated_conjecture,(member(skolem0002,skolem0001)&~subset(singleton(skolem0002),skolem0001)),inference(skolemize,status(esa),[c13])).
% 3.18/3.43 cnf(c16,negated_conjecture,~subset(singleton(skolem0002),skolem0001),inference(split_conjunct,status(thm),[c14])).
% 3.18/3.43 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 3.18/3.43 fof(c91,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])).
% 3.18/3.43 fof(c92,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),[c91])).
% 3.18/3.43 fof(c93,axiom,((![X53]:(![X54]:(~subset(X53,X54)|(![X55]:(~member(X55,X53)|member(X55,X54))))))&(![X56]:(![X57]:((?[X58]:(member(X58,X56)&~member(X58,X57)))|subset(X56,X57))))),inference(variable_rename,status(thm),[c92])).
% 3.18/3.43 fof(c95,axiom,(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:((~subset(X53,X54)|(~member(X55,X53)|member(X55,X54)))&((member(skolem0005(X56,X57),X56)&~member(skolem0005(X56,X57),X57))|subset(X56,X57)))))))),inference(shift_quantors,status(thm),[fof(c94,axiom,((![X53]:(![X54]:(~subset(X53,X54)|(![X55]:(~member(X55,X53)|member(X55,X54))))))&(![X56]:(![X57]:((member(skolem0005(X56,X57),X56)&~member(skolem0005(X56,X57),X57))|subset(X56,X57))))),inference(skolemize,status(esa),[c93])).])).
% 3.18/3.43 fof(c96,axiom,(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:((~subset(X53,X54)|(~member(X55,X53)|member(X55,X54)))&((member(skolem0005(X56,X57),X56)|subset(X56,X57))&(~member(skolem0005(X56,X57),X57)|subset(X56,X57))))))))),inference(distribute,status(thm),[c95])).
% 3.18/3.43 cnf(c99,axiom,~member(skolem0005(X164,X163),X163)|subset(X164,X163),inference(split_conjunct,status(thm),[c96])).
% 3.18/3.43 cnf(reflexivity,axiom,X59=X59,eq_axiom).
% 3.18/3.43 cnf(c15,negated_conjecture,member(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 3.18/3.43 cnf(c9,plain,X185!=X188|X186!=X187|~member(X185,X186)|member(X188,X187),eq_axiom).
% 3.18/3.43 cnf(c179,plain,skolem0002!=X662|skolem0001!=X661|member(X662,X661),inference(resolution,status(thm),[c9, c15])).
% 3.18/3.43 cnf(c1423,plain,skolem0002!=X663|member(X663,skolem0001),inference(resolution,status(thm),[c179, reflexivity])).
% 3.18/3.43 cnf(symmetry,axiom,X61!=X62|X62=X61,eq_axiom).
% 3.18/3.43 fof(singleton,axiom,(![X]:(![A]:(member(X,singleton(A))<=>X=A))),input).
% 3.18/3.43 fof(c43,axiom,(![X]:(![A]:((~member(X,singleton(A))|X=A)&(X!=A|member(X,singleton(A)))))),inference(fof_nnf,status(thm),[singleton])).
% 3.18/3.43 fof(c44,axiom,((![X]:(![A]:(~member(X,singleton(A))|X=A)))&(![X]:(![A]:(X!=A|member(X,singleton(A)))))),inference(shift_quantors,status(thm),[c43])).
% 3.18/3.43 fof(c46,axiom,(![X22]:(![X23]:(![X24]:(![X25]:((~member(X22,singleton(X23))|X22=X23)&(X24!=X25|member(X24,singleton(X25)))))))),inference(shift_quantors,status(thm),[fof(c45,axiom,((![X22]:(![X23]:(~member(X22,singleton(X23))|X22=X23)))&(![X24]:(![X25]:(X24!=X25|member(X24,singleton(X25)))))),inference(variable_rename,status(thm),[c44])).])).
% 3.18/3.43 cnf(c47,axiom,~member(X74,singleton(X73))|X74=X73,inference(split_conjunct,status(thm),[c46])).
% 3.18/3.43 cnf(c98,axiom,member(skolem0005(X152,X151),X152)|subset(X152,X151),inference(split_conjunct,status(thm),[c96])).
% 3.18/3.43 cnf(c138,plain,subset(singleton(X488),X487)|skolem0005(singleton(X488),X487)=X488,inference(resolution,status(thm),[c98, c47])).
% 3.18/3.43 cnf(c944,plain,skolem0005(singleton(skolem0002),skolem0001)=skolem0002,inference(resolution,status(thm),[c138, c16])).
% 3.18/3.43 cnf(c1651,plain,skolem0002=skolem0005(singleton(skolem0002),skolem0001),inference(resolution,status(thm),[c944, symmetry])).
% 3.18/3.43 cnf(c1896,plain,member(skolem0005(singleton(skolem0002),skolem0001),skolem0001),inference(resolution,status(thm),[c1651, c1423])).
% 3.18/3.43 cnf(c9159,plain,subset(singleton(skolem0002),skolem0001),inference(resolution,status(thm),[c1896, c99])).
% 3.18/3.43 cnf(c9167,plain,$false,inference(resolution,status(thm),[c9159, c16])).
% 3.18/3.43 # SZS output end CNFRefutation
% 3.18/3.43
% 3.18/3.43 # Initial clauses : 45
% 3.18/3.43 # Processed clauses : 405
% 3.18/3.43 # Factors computed : 2
% 3.18/3.43 # Resolvents computed: 9069
% 3.18/3.43 # Tautologies deleted: 23
% 3.18/3.43 # Forward subsumed : 670
% 3.18/3.43 # Backward subsumed : 3
% 3.18/3.43 # -------- CPU Time ---------
% 3.18/3.43 # User time : 3.058 s
% 3.18/3.43 # System time : 0.024 s
% 3.18/3.43 # Total time : 3.082 s
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