%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:45:59 EDT 2023

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  26   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ p_1_2(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X_1,X_2] :
      ( p_1_2(X_1,X_2)
      | ~ p_2_2(X_1,X_2)
      | ~ p_1_1(X_1,X_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X_1,X_2] :
      ( p_1_1(X_1,X_2)
      | ~ nq_1(X_1)
      | ~ nq_2(X_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X_1,X_2] :
      ( p_2_2(X_1,X_2)
      | ~ nq_1(X_1)
      | ~ nq_2(X_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    nq_1(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    nq_2(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ~ p_1_2(a,a),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( p_1_2(X0,X1)
      | ~ p_2_2(X0,X1)
      | ~ p_1_1(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f27,plain,
    ! [X_2] :
      ( ! [X_1] :
          ( p_1_1(X_1,X_2)
          | ~ nq_1(X_1) )
      | ~ nq_2(X_2) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( p_1_1(X0,X1)
      | ~ nq_1(X0)
      | ~ nq_2(X1) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f31,plain,
    ! [X_2] :
      ( ! [X_1] :
          ( p_2_2(X_1,X_2)
          | ~ nq_1(X_1) )
      | ~ nq_2(X_2) ),
    inference(miniscoping,[status(esa)],[f12]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( p_2_2(X0,X1)
      | ~ nq_1(X0)
      | ~ nq_2(X1) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f35,plain,
    nq_1(a),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f37,plain,
    nq_2(a),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f40,plain,
    ! [X0] :
      ( p_1_1(X0,a)
      | ~ nq_1(X0) ),
    inference(resolution,[status(thm)],[f28,f37]) ).

fof(f42,plain,
    p_1_1(a,a),
    inference(resolution,[status(thm)],[f40,f35]) ).

fof(f51,plain,
    ( spl0_2
  <=> p_1_2(a,a) ),
    introduced(split_symbol_definition) ).

fof(f52,plain,
    ( p_1_2(a,a)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f51]) ).

fof(f54,plain,
    ( spl0_3
  <=> p_2_2(a,a) ),
    introduced(split_symbol_definition) ).

fof(f56,plain,
    ( ~ p_2_2(a,a)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f54]) ).

fof(f57,plain,
    ( p_1_2(a,a)
    | ~ p_2_2(a,a) ),
    inference(resolution,[status(thm)],[f42,f19]) ).

fof(f58,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f57,f51,f54]) ).

fof(f124,plain,
    ! [X0] :
      ( p_2_2(X0,a)
      | ~ nq_1(X0) ),
    inference(resolution,[status(thm)],[f32,f37]) ).

fof(f128,plain,
    p_2_2(a,a),
    inference(resolution,[status(thm)],[f124,f35]) ).

fof(f135,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f56,f128]) ).

fof(f136,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f135]) ).

fof(f137,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f52,f18]) ).

fof(f138,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f137]) ).

fof(f139,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f58,f136,f138]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue May 30 10:28:52 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.5.1
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37  % Elapsed time: 0.020369 seconds
% 0.15/0.37  % CPU time: 0.029567 seconds
% 0.15/0.37  % Memory used: 7.191 MB
%------------------------------------------------------------------------------