TSTP Solution File: GEO086-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO086-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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  : 300s
% DateTime : Wed May 31 12:07:44 EDT 2023

% Result   : Unsatisfiable 0.14s 0.56s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   36 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  13   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,axiom,
    ! [A,B] :
      ( ~ part_of(A,B)
      | A = B
      | open(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    open(sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ~ open(sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,plain,
    ! [A] :
      ( ! [B] :
          ( ~ part_of(A,B)
          | A = B )
      | open(A) ),
    inference(miniscoping,[status(esa)],[f35]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ part_of(X0,X1)
      | X0 = X1
      | open(X0) ),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f116,plain,
    open(sk14),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f117,plain,
    part_of(sk15,sk14),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f118,plain,
    ~ open(sk15),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f123,plain,
    ( spl0_0
  <=> sk15 = sk14 ),
    introduced(split_symbol_definition) ).

fof(f124,plain,
    ( sk15 = sk14
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f123]) ).

fof(f126,plain,
    ( spl0_1
  <=> open(sk15) ),
    introduced(split_symbol_definition) ).

fof(f127,plain,
    ( open(sk15)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f126]) ).

fof(f129,plain,
    ( sk15 = sk14
    | open(sk15) ),
    inference(resolution,[status(thm)],[f98,f117]) ).

fof(f130,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f129,f123,f126]) ).

fof(f192,plain,
    ( ~ open(sk14)
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f124,f118]) ).

fof(f193,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f116]) ).

fof(f194,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f193]) ).

fof(f225,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118,f127]) ).

fof(f226,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f225]) ).

fof(f227,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f130,f194,f226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO086-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 12:27:59 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.14/0.56  % Refutation found
% 0.14/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56  % Elapsed time: 0.038305 seconds
% 0.14/0.56  % CPU time: 0.020082 seconds
% 0.14/0.56  % Memory used: 3.012 MB
%------------------------------------------------------------------------------