TSTP Solution File: KRS017-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS017-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 : Tue Apr 30 20:24:36 EDT 2024

% Result   : Unsatisfiable 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  24   ~;  20   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    e(exists),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ a(exists),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X1] :
      ( r(X1,u0r3(X1))
      | ~ e(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X3,X1,X2] :
      ( a(X3)
      | ~ e(X1)
      | ~ r(X1,X2)
      | ~ r(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,plain,
    e(exists),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ~ a(exists),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0] :
      ( r(X0,u0r3(X0))
      | ~ e(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X3,X2] :
      ( ! [X1] :
          ( a(X3)
          | ~ e(X1)
          | ~ r(X1,X2) )
      | ~ r(X3,X2) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( a(X0)
      | ~ e(X1)
      | ~ r(X1,X2)
      | ~ r(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ e(X0)
      | a(X1)
      | ~ e(X0)
      | ~ r(X1,u0r3(X0)) ),
    inference(resolution,[status(thm)],[f10,f12]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ e(X0)
      | a(X1)
      | ~ r(X1,u0r3(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f19]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ e(X0)
      | ~ r(exists,u0r3(X0)) ),
    inference(resolution,[status(thm)],[f20,f9]) ).

fof(f22,plain,
    ( spl0_0
  <=> e(exists) ),
    introduced(split_symbol_definition) ).

fof(f24,plain,
    ( ~ e(exists)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f22]) ).

fof(f25,plain,
    ( ~ e(exists)
    | ~ e(exists) ),
    inference(resolution,[status(thm)],[f21,f10]) ).

fof(f26,plain,
    ~ spl0_0,
    inference(split_clause,[status(thm)],[f25,f22]) ).

fof(f27,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24,f8]) ).

fof(f28,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f27]) ).

fof(f29,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f26,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KRS017-1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 23:52:47 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.33  % Drodi V3.6.0
% 0.16/0.33  % Refutation found
% 0.16/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.35  % Elapsed time: 0.015913 seconds
% 0.16/0.35  % CPU time: 0.015041 seconds
% 0.16/0.35  % Total memory used: 1.090 MB
% 0.16/0.35  % Net memory used: 998.464 KB
%------------------------------------------------------------------------------