%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN234-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:46:18 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  21   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   15 (;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [I,J] :
      ( m1(I,J,I)
      | ~ l0(I)
      | ~ k0(J) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f214,axiom,
    ! [D,E] :
      ( p2(D,E,D)
      | ~ m1(E,D,E) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f253,axiom,
    ! [G,H] :
      ( l3(G,H)
      | ~ r0(G)
      | ~ p2(G,H,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l3(e,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f382,plain,
    r0(e),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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

fof(f397,plain,
    k0(e),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f442,plain,
    ! [J] :
      ( ! [I] :
          ( m1(I,J,I)
          | ~ l0(I) )
      | ~ k0(J) ),
    inference(miniscoping,[status(esa)],[f59]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( m1(X0,X1,X0)
      | ~ l0(X0)
      | ~ k0(X1) ),
    inference(cnf_transformation,[status(esa)],[f442]) ).

fof(f685,plain,
    ! [X0,X1] :
      ( p2(X0,X1,X0)
      | ~ m1(X1,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f214]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( l3(X0,X1)
      | ~ r0(X0)
      | ~ p2(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f253]) ).

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

fof(f963,plain,
    ( spl0_11
  <=> r0(e) ),
    introduced(split_symbol_definition) ).

fof(f965,plain,
    ( ~ r0(e)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f963]) ).

fof(f2037,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f965,f382]) ).

fof(f2038,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f2037]) ).

fof(f2124,plain,
    ! [X0] :
      ( m1(X0,e,X0)
      | ~ l0(X0) ),
    inference(resolution,[status(thm)],[f443,f397]) ).

fof(f2664,plain,
    m1(a,e,a),
    inference(resolution,[status(thm)],[f2124,f389]) ).

fof(f2692,plain,
    p2(e,a,e),
    inference(resolution,[status(thm)],[f685,f2664]) ).

fof(f2717,plain,
    ( spl0_362
  <=> l3(e,a) ),
    introduced(split_symbol_definition) ).

fof(f2718,plain,
    ( l3(e,a)
    | ~ spl0_362 ),
    inference(component_clause,[status(thm)],[f2717]) ).

fof(f2720,plain,
    ( l3(e,a)
    | ~ r0(e) ),
    inference(resolution,[status(thm)],[f2692,f742]) ).

fof(f2721,plain,
    ( spl0_362
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f2720,f2717,f963]) ).

fof(f2722,plain,
    ( $false
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2718,f924]) ).

fof(f2723,plain,
    ~ spl0_362,
    inference(contradiction_clause,[status(thm)],[f2722]) ).

fof(f2724,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2038,f2721,f2723]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09  % Problem  : SYN234-1 : TPTP v8.1.2. Released v1.1.0.
% 0.01/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29  % Computer : n001.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Tue May 30 10:56:15 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 0.08/0.30  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.59  % Elapsed time: 0.070596 seconds
% 0.23/0.59  % CPU time: 0.186596 seconds
% 0.23/0.59  % Memory used: 21.911 MB
%------------------------------------------------------------------------------