%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:31:18 EDT 2023

% Result   : Theorem 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   29 (   8 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   34 (  19   ~;  11   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (;  15   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X7,Y10] :
      ( ! [Y20] :
          ( ~ r1(Y20)
          | Y20 != Y10 )
      | ~ r2(X7,Y10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,conjecture,
    ! [Y0] :
      ( ! [Y1] :
          ( Y0 != Y1
          | ~ r2(Y0,Y1) )
      | ~ r1(Y0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ ! [Y0] :
        ( ! [Y1] :
            ( Y0 != Y1
            | ~ r2(Y0,Y1) )
        | ~ r1(Y0) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f62,plain,
    ! [Y10] :
      ( ! [Y20] :
          ( ~ r1(Y20)
          | Y20 != Y10 )
      | ! [X7] : ~ r2(X7,Y10) ),
    inference(miniscoping,[status(esa)],[f11]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ~ r1(X0)
      | X0 != X1
      | ~ r2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f62]) ).

fof(f64,plain,
    ? [Y0] :
      ( ? [Y1] :
          ( Y0 = Y1
          & r2(Y0,Y1) )
      & r1(Y0) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f65,plain,
    ( sk0_20 = sk0_21
    & r2(sk0_20,sk0_21)
    & r1(sk0_20) ),
    inference(skolemization,[status(esa)],[f64]) ).

fof(f66,plain,
    sk0_20 = sk0_21,
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f67,plain,
    r2(sk0_20,sk0_21),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f68,plain,
    r1(sk0_20),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X1,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f63]) ).

fof(f90,plain,
    r2(sk0_20,sk0_20),
    inference(forward_demodulation,[status(thm)],[f66,f67]) ).

fof(f91,plain,
    ~ r1(sk0_20),
    inference(resolution,[status(thm)],[f85,f90]) ).

fof(f92,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f91,f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32  % Computer : n007.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Tue May 30 10:32:17 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.19/0.59  % Refutation found
% 0.19/0.59  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.59  % Elapsed time: 0.039922 seconds
% 0.19/0.59  % CPU time: 0.018857 seconds
% 0.19/0.59  % Memory used: 3.631 MB
%------------------------------------------------------------------------------