%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 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 12:31:14 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   35 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   36 (  17   ~;   9   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :   33 (;  26   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X1,X8] :
    ? [Y4] :
      ( ? [Y5] :
          ( ? [Y15] :
              ( r2(X8,Y15)
              & r3(X1,Y15,Y5) )
          & Y5 = Y4 )
      & ? [Y7] :
          ( r2(Y7,Y4)
          & r3(X1,X8,Y7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f12,conjecture,
    ? [Y1] :
    ! [Y2] :
      ( ~ r1(Y2)
      | Y1 != Y2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ ? [Y1] :
      ! [Y2] :
        ( ~ r1(Y2)
        | Y1 != Y2 ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f34,plain,
    ! [X1,X8] :
      ( r2(X8,sk0_6(X8,X1))
      & r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
      & sk0_5(X8,X1) = sk0_4(X8,X1)
      & r2(sk0_7(X8,X1),sk0_4(X8,X1))
      & r3(X1,X8,sk0_7(X8,X1)) ),
    inference(skolemization,[status(esa)],[f5]) ).

fof(f35,plain,
    ! [X0,X1] : r2(X0,sk0_6(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f34]) ).

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,
    ! [Y1] :
    ? [Y2] :
      ( r1(Y2)
      & Y1 = Y2 ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f65,plain,
    ! [Y1] :
      ( r1(sk0_20(Y1))
      & Y1 = sk0_20(Y1) ),
    inference(skolemization,[status(esa)],[f64]) ).

fof(f66,plain,
    ! [X0] : r1(sk0_20(X0)),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f67,plain,
    ! [X0] : X0 = sk0_20(X0),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X1,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f63]) ).

fof(f89,plain,
    ! [X0] : r1(X0),
    inference(forward_demodulation,[status(thm)],[f67,f66]) ).

fof(f90,plain,
    ! [X0,X1] : ~ r2(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f84,f89]) ).

fof(f91,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f35,f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n001.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 : Tue May 30 11:14:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.023368 seconds
% 0.13/0.37  % CPU time: 0.031377 seconds
% 0.13/0.37  % Memory used: 14.454 MB
%------------------------------------------------------------------------------