%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN224-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:51:37 EDT 2024

% Result   : Unsatisfiable 0.17s 0.56s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [I,J] :
      ( k1(I)
      | ~ n0(J,I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f126,axiom,
    ( p1(a,a,a)
    | ~ l0(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f197,axiom,
    ! [A] :
      ( p2(A,A,A)
      | ~ k1(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f254,axiom,
    ! [D,E,F] :
      ( l3(D,D)
      | ~ p1(D,D,E)
      | ~ p2(E,F,D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ l3(a,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f389,plain,
    l0(a),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f406,plain,
    n0(b,a),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f408,plain,
    ! [I] :
      ( k1(I)
      | ! [J] : ~ n0(J,I) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( k1(X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f408]) ).

fof(f549,plain,
    ( p1(a,a,a)
    | ~ l0(a) ),
    inference(cnf_transformation,[status(esa)],[f126]) ).

fof(f659,plain,
    ! [X0] :
      ( p2(X0,X0,X0)
      | ~ k1(X0) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f743,plain,
    ! [D,E] :
      ( l3(D,D)
      | ~ p1(D,D,E)
      | ! [F] : ~ p2(E,F,D) ),
    inference(miniscoping,[status(esa)],[f254]) ).

fof(f744,plain,
    ! [X0,X1,X2] :
      ( l3(X0,X0)
      | ~ p1(X0,X0,X1)
      | ~ p2(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f743]) ).

fof(f924,plain,
    ! [X0] : ~ l3(a,X0),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1005,plain,
    ( spl0_23
  <=> l0(a) ),
    introduced(split_symbol_definition) ).

fof(f1007,plain,
    ( ~ l0(a)
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f1005]) ).

fof(f1159,plain,
    ( spl0_67
  <=> p1(a,a,a) ),
    introduced(split_symbol_definition) ).

fof(f1210,plain,
    ( spl0_67
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f549,f1159,f1005]) ).

fof(f2011,plain,
    k1(a),
    inference(resolution,[status(thm)],[f409,f406]) ).

fof(f2022,plain,
    ( $false
    | spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1007,f389]) ).

fof(f2023,plain,
    spl0_23,
    inference(contradiction_clause,[status(thm)],[f2022]) ).

fof(f2077,plain,
    p2(a,a,a),
    inference(resolution,[status(thm)],[f659,f2011]) ).

fof(f2133,plain,
    ( spl0_303
  <=> l3(a,a) ),
    introduced(split_symbol_definition) ).

fof(f2134,plain,
    ( l3(a,a)
    | ~ spl0_303 ),
    inference(component_clause,[status(thm)],[f2133]) ).

fof(f2138,plain,
    ( l3(a,a)
    | ~ p1(a,a,a) ),
    inference(resolution,[status(thm)],[f2077,f744]) ).

fof(f2139,plain,
    ( spl0_303
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f2138,f2133,f1159]) ).

fof(f2140,plain,
    ( $false
    | ~ spl0_303 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2134,f924]) ).

fof(f2141,plain,
    ~ spl0_303,
    inference(contradiction_clause,[status(thm)],[f2140]) ).

fof(f2142,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1210,f2023,f2139,f2141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.31  % Problem  : SYN224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.31  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.52  % Computer : n019.cluster.edu
% 0.14/0.52  % Model    : x86_64 x86_64
% 0.14/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.52  % Memory   : 8042.1875MB
% 0.14/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.52  % CPULimit : 300
% 0.14/0.52  % WCLimit  : 300
% 0.14/0.52  % DateTime : Mon Apr 29 21:53:45 EDT 2024
% 0.14/0.52  % CPUTime  : 
% 0.17/0.54  % Drodi V3.6.0
% 0.17/0.56  % Refutation found
% 0.17/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57  % Elapsed time: 0.033155 seconds
% 0.17/0.57  % CPU time: 0.070077 seconds
% 0.17/0.57  % Total memory used: 13.805 MB
% 0.17/0.57  % Net memory used: 13.739 MB
%------------------------------------------------------------------------------