TSTP Solution File: GEO086+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 : Sat Jul 16 05:58:12 EDT 2022

% Result   : Theorem 0.39s 0.58s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 18 13:51:47 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.39/0.58  # Version:  1.3
% 0.39/0.58  # SZS status Theorem
% 0.39/0.58  # SZS output start CNFRefutation
% 0.39/0.58  fof(closed_defn,axiom,(![C]:(closed(C)<=>(~(?[P]:end_point(P,C))))),input).
% 0.39/0.58  fof(c63,axiom,(![C]:((~closed(C)|(![P]:~end_point(P,C)))&((?[P]:end_point(P,C))|closed(C)))),inference(fof_nnf,status(thm),[closed_defn])).
% 0.39/0.58  fof(c64,axiom,((![C]:(~closed(C)|(![P]:~end_point(P,C))))&(![C]:((?[P]:end_point(P,C))|closed(C)))),inference(shift_quantors,status(thm),[c63])).
% 0.39/0.58  fof(c65,axiom,((![X40]:(~closed(X40)|(![X41]:~end_point(X41,X40))))&(![X42]:((?[X43]:end_point(X43,X42))|closed(X42)))),inference(variable_rename,status(thm),[c64])).
% 0.39/0.58  fof(c67,axiom,(![X40]:(![X41]:(![X42]:((~closed(X40)|~end_point(X41,X40))&(end_point(skolem0010(X42),X42)|closed(X42)))))),inference(shift_quantors,status(thm),[fof(c66,axiom,((![X40]:(~closed(X40)|(![X41]:~end_point(X41,X40))))&(![X42]:(end_point(skolem0010(X42),X42)|closed(X42)))),inference(skolemize,status(esa),[c65])).])).
% 0.39/0.58  cnf(c68,axiom,~closed(X87)|~end_point(X86,X87),inference(split_conjunct,status(thm),[c67])).
% 0.39/0.58  fof(theorem_2_7_2,conjecture,(![C]:(![Cpp]:((open(C)&part_of(Cpp,C))=>open(Cpp)))),input).
% 0.39/0.58  fof(c8,negated_conjecture,(~(![C]:(![Cpp]:((open(C)&part_of(Cpp,C))=>open(Cpp))))),inference(assume_negation,status(cth),[theorem_2_7_2])).
% 0.39/0.58  fof(c9,negated_conjecture,(?[C]:(?[Cpp]:((open(C)&part_of(Cpp,C))&~open(Cpp)))),inference(fof_nnf,status(thm),[c8])).
% 0.39/0.58  fof(c10,negated_conjecture,(?[X2]:(?[X3]:((open(X2)&part_of(X3,X2))&~open(X3)))),inference(variable_rename,status(thm),[c9])).
% 0.39/0.58  fof(c11,negated_conjecture,((open(skolem0001)&part_of(skolem0002,skolem0001))&~open(skolem0002)),inference(skolemize,status(esa),[c10])).
% 0.39/0.58  cnf(c12,negated_conjecture,open(skolem0001),inference(split_conjunct,status(thm),[c11])).
% 0.39/0.58  fof(open_defn,axiom,(![C]:(open(C)<=>(?[P]:end_point(P,C)))),input).
% 0.39/0.58  fof(c56,axiom,(![C]:((~open(C)|(?[P]:end_point(P,C)))&((![P]:~end_point(P,C))|open(C)))),inference(fof_nnf,status(thm),[open_defn])).
% 0.39/0.58  fof(c57,axiom,((![C]:(~open(C)|(?[P]:end_point(P,C))))&(![C]:((![P]:~end_point(P,C))|open(C)))),inference(shift_quantors,status(thm),[c56])).
% 0.39/0.58  fof(c58,axiom,((![X36]:(~open(X36)|(?[X37]:end_point(X37,X36))))&(![X38]:((![X39]:~end_point(X39,X38))|open(X38)))),inference(variable_rename,status(thm),[c57])).
% 0.39/0.58  fof(c60,axiom,(![X36]:(![X38]:(![X39]:((~open(X36)|end_point(skolem0009(X36),X36))&(~end_point(X39,X38)|open(X38)))))),inference(shift_quantors,status(thm),[fof(c59,axiom,((![X36]:(~open(X36)|end_point(skolem0009(X36),X36)))&(![X38]:((![X39]:~end_point(X39,X38))|open(X38)))),inference(skolemize,status(esa),[c58])).])).
% 0.39/0.58  cnf(c61,axiom,~open(X100)|end_point(skolem0009(X100),X100),inference(split_conjunct,status(thm),[c60])).
% 0.39/0.58  cnf(c130,plain,end_point(skolem0009(skolem0001),skolem0001),inference(resolution,status(thm),[c61, c12])).
% 0.39/0.58  cnf(c132,plain,~closed(skolem0001),inference(resolution,status(thm),[c130, c68])).
% 0.39/0.58  cnf(c14,negated_conjecture,~open(skolem0002),inference(split_conjunct,status(thm),[c11])).
% 0.39/0.58  cnf(c62,axiom,~end_point(X85,X84)|open(X84),inference(split_conjunct,status(thm),[c60])).
% 0.39/0.58  cnf(c69,axiom,end_point(skolem0010(X105),X105)|closed(X105),inference(split_conjunct,status(thm),[c67])).
% 0.39/0.58  cnf(c138,plain,closed(X111)|open(X111),inference(resolution,status(thm),[c69, c62])).
% 0.39/0.58  cnf(c143,plain,closed(skolem0002),inference(resolution,status(thm),[c138, c14])).
% 0.39/0.58  cnf(c6,plain,X143!=X144|~closed(X143)|closed(X144),eq_axiom).
% 0.39/0.58  cnf(c13,negated_conjecture,part_of(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c11])).
% 0.39/0.58  fof(c1,axiom,(![C]:(![C1]:((part_of(C1,C)&C1!=C)=>open(C1)))),input).
% 0.39/0.58  fof(c53,axiom,(![C]:(![C1]:((~part_of(C1,C)|C1=C)|open(C1)))),inference(fof_nnf,status(thm),[c1])).
% 0.39/0.58  fof(c54,axiom,(![X34]:(![X35]:((~part_of(X35,X34)|X35=X34)|open(X35)))),inference(variable_rename,status(thm),[c53])).
% 0.39/0.58  cnf(c55,axiom,~part_of(X156,X155)|X156=X155|open(X156),inference(split_conjunct,status(thm),[c54])).
% 0.39/0.58  cnf(c172,plain,skolem0002=skolem0001|open(skolem0002),inference(resolution,status(thm),[c55, c13])).
% 0.39/0.58  cnf(c178,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c172, c14])).
% 0.39/0.58  cnf(c180,plain,~closed(skolem0002)|closed(skolem0001),inference(resolution,status(thm),[c178, c6])).
% 0.39/0.58  cnf(c201,plain,closed(skolem0001),inference(resolution,status(thm),[c180, c143])).
% 0.39/0.58  cnf(c207,plain,$false,inference(resolution,status(thm),[c201, c132])).
% 0.39/0.58  # SZS output end CNFRefutation
% 0.39/0.58  
% 0.39/0.58  # Initial clauses    : 57
% 0.39/0.58  # Processed clauses  : 49
% 0.39/0.58  # Factors computed   : 1
% 0.39/0.58  # Resolvents computed: 80
% 0.39/0.58  # Tautologies deleted: 5
% 0.39/0.58  # Forward subsumed   : 10
% 0.39/0.58  # Backward subsumed  : 2
% 0.39/0.58  # -------- CPU Time ---------
% 0.39/0.58  # User time          : 0.234 s
% 0.39/0.58  # System time        : 0.013 s
% 0.39/0.58  # Total time         : 0.247 s
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