%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN957+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:48:29 EDT 2023

% Result   : Theorem 0.14s 0.34s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   2 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (  14   ~;   8   |;   3   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (;   9   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [Y] :
      ! [X] :
        ( a(X,Y)
      <=> ~ a(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ ? [Y] :
        ! [X] :
          ( a(X,Y)
        <=> ~ a(X,X) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [Y] :
    ! [X] :
      ( ( ~ a(X,Y)
        | ~ a(X,X) )
      & ( a(X,Y)
        | a(X,X) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ? [Y] :
      ( ! [X] :
          ( ~ a(X,Y)
          | ~ a(X,X) )
      & ! [X] :
          ( a(X,Y)
          | a(X,X) ) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ! [X] :
        ( ~ a(X,sk0_0)
        | ~ a(X,X) )
    & ! [X] :
        ( a(X,sk0_0)
        | a(X,X) ) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ a(X0,sk0_0)
      | ~ a(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0] :
      ( a(X0,sk0_0)
      | a(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ~ a(sk0_0,sk0_0),
    inference(resolution,[status(thm)],[f6,f7]) ).

fof(f15,plain,
    $false,
    inference(resolution,[status(thm)],[f8,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN957+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33  % Computer : n010.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue May 30 10:15:07 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Drodi V3.5.1
% 0.14/0.34  % Refutation found
% 0.14/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.35  % Elapsed time: 0.016619 seconds
% 0.14/0.35  % CPU time: 0.026468 seconds
% 0.14/0.35  % Memory used: 1.784 MB
%------------------------------------------------------------------------------