%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN222-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  22   ~;  20   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,axiom,
    n0(c,d),
    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(f104,axiom,
    ! [G,H] :
      ( p1(G,G,G)
      | ~ n0(H,G) ),
    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(X,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f403,plain,
    n0(c,d),
    inference(cnf_transformation,[status(esa)],[f34]) ).

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(f513,plain,
    ! [G] :
      ( p1(G,G,G)
      | ! [H] : ~ n0(H,G) ),
    inference(miniscoping,[status(esa)],[f104]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( p1(X0,X0,X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f513]) ).

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,d),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1654,plain,
    ( spl0_206
  <=> l3(d,d) ),
    introduced(split_symbol_definition) ).

fof(f1655,plain,
    ( l3(d,d)
    | ~ spl0_206 ),
    inference(component_clause,[status(thm)],[f1654]) ).

fof(f2010,plain,
    k1(d),
    inference(resolution,[status(thm)],[f409,f403]) ).

fof(f2078,plain,
    p2(d,d,d),
    inference(resolution,[status(thm)],[f659,f2010]) ).

fof(f2142,plain,
    ( spl0_304
  <=> p1(d,d,d) ),
    introduced(split_symbol_definition) ).

fof(f2144,plain,
    ( ~ p1(d,d,d)
    | spl0_304 ),
    inference(component_clause,[status(thm)],[f2142]) ).

fof(f2145,plain,
    ( l3(d,d)
    | ~ p1(d,d,d) ),
    inference(resolution,[status(thm)],[f2078,f744]) ).

fof(f2146,plain,
    ( spl0_206
    | ~ spl0_304 ),
    inference(split_clause,[status(thm)],[f2145,f1654,f2142]) ).

fof(f2257,plain,
    p1(d,d,d),
    inference(resolution,[status(thm)],[f514,f403]) ).

fof(f2258,plain,
    ( $false
    | spl0_304 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2257,f2144]) ).

fof(f2259,plain,
    spl0_304,
    inference(contradiction_clause,[status(thm)],[f2258]) ).

fof(f2261,plain,
    ( $false
    | ~ spl0_206 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1655,f924]) ).

fof(f2262,plain,
    ~ spl0_206,
    inference(contradiction_clause,[status(thm)],[f2261]) ).

fof(f2263,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2146,f2259,f2262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN222-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:51:03 EDT 2024
% 0.20/0.35  % CPUTime  : 
% 0.20/0.36  % Drodi V3.6.0
% 0.20/0.39  % Refutation found
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.040996 seconds
% 0.20/0.39  % CPU time: 0.111183 seconds
% 0.20/0.39  % Total memory used: 16.838 MB
% 0.20/0.39  % Net memory used: 16.741 MB
%------------------------------------------------------------------------------