%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN220-1 : TPTP v8.1.2. Released v1.1.0.
% 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 12:46:16 EDT 2023

% Result   : Unsatisfiable 0.14s 0.34s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  21   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   21 (;  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f106,axiom,
    ! [D] :
      ( p1(D,D,D)
      | ~ k0(D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f376,plain,
    n0(d,b),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f401,plain,
    k0(b),
    inference(cnf_transformation,[status(esa)],[f32]) ).

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(f517,plain,
    ! [X0] :
      ( p1(X0,X0,X0)
      | ~ k0(X0) ),
    inference(cnf_transformation,[status(esa)],[f106]) ).

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(X0,b),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1166,plain,
    ( spl0_69
  <=> p1(b,b,b) ),
    introduced(split_symbol_definition) ).

fof(f1168,plain,
    ( ~ p1(b,b,b)
    | spl0_69 ),
    inference(component_clause,[status(thm)],[f1166]) ).

fof(f2005,plain,
    k1(b),
    inference(resolution,[status(thm)],[f409,f376]) ).

fof(f2071,plain,
    p1(b,b,b),
    inference(resolution,[status(thm)],[f517,f401]) ).

fof(f2080,plain,
    p2(b,b,b),
    inference(resolution,[status(thm)],[f659,f2005]) ).

fof(f2188,plain,
    ( spl0_308
  <=> l3(b,b) ),
    introduced(split_symbol_definition) ).

fof(f2189,plain,
    ( l3(b,b)
    | ~ spl0_308 ),
    inference(component_clause,[status(thm)],[f2188]) ).

fof(f2193,plain,
    ( l3(b,b)
    | ~ p1(b,b,b) ),
    inference(resolution,[status(thm)],[f2080,f744]) ).

fof(f2194,plain,
    ( spl0_308
    | ~ spl0_69 ),
    inference(split_clause,[status(thm)],[f2193,f2188,f1166]) ).

fof(f2195,plain,
    ( $false
    | spl0_69 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1168,f2071]) ).

fof(f2196,plain,
    spl0_69,
    inference(contradiction_clause,[status(thm)],[f2195]) ).

fof(f2197,plain,
    ( $false
    | ~ spl0_308 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2189,f924]) ).

fof(f2198,plain,
    ~ spl0_308,
    inference(contradiction_clause,[status(thm)],[f2197]) ).

fof(f2199,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2194,f2196,f2198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SYN220-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n016.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:52:29 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 0.14/0.34  % Refutation found
% 0.14/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.57  % Elapsed time: 0.056522 seconds
% 0.21/0.57  % CPU time: 0.058492 seconds
% 0.21/0.57  % Memory used: 4.390 MB
%------------------------------------------------------------------------------