%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : Wed May 31 12:31:16 EDT 2023

% Result   : Theorem 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   58 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   71 (  35   ~;  26   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   38 (;  33   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X3,X10] :
      ( ! [Y12] :
          ( ! [Y13] :
              ( ~ r2(X3,Y13)
              | Y13 != Y12 )
          | ~ r2(X10,Y12) )
      | X3 = X10 ),
    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] :
          ( ! [Y4] :
              ( ~ r1(Y4)
              | ~ r2(Y4,Y2) )
          | Y2 != Y1 )
      | ! [Y3] :
          ( ! [Y5] :
              ( ~ r1(Y5)
              | ~ r2(Y5,Y3) )
          | ~ r2(Y3,Y1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ ! [Y1] :
        ( ! [Y2] :
            ( ! [Y4] :
                ( ~ r1(Y4)
                | ~ r2(Y4,Y2) )
            | Y2 != Y1 )
        | ! [Y3] :
            ( ! [Y5] :
                ( ~ r1(Y5)
                | ~ r2(Y5,Y3) )
            | ~ r2(Y3,Y1) ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3] :
      ( ~ r2(X0,X1)
      | X1 != X2
      | ~ r2(X3,X2)
      | X0 = X3 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

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] :
          ( ? [Y4] :
              ( r1(Y4)
              & r2(Y4,Y2) )
          & Y2 = Y1 )
      & ? [Y3] :
          ( ? [Y5] :
              ( r1(Y5)
              & r2(Y5,Y3) )
          & r2(Y3,Y1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f65,plain,
    ( r1(sk0_22)
    & r2(sk0_22,sk0_21)
    & sk0_21 = sk0_20
    & r1(sk0_24)
    & r2(sk0_24,sk0_23)
    & r2(sk0_23,sk0_20) ),
    inference(skolemization,[status(esa)],[f64]) ).

fof(f66,plain,
    r1(sk0_22),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f67,plain,
    r2(sk0_22,sk0_21),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f68,plain,
    sk0_21 = sk0_20,
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f70,plain,
    r2(sk0_24,sk0_23),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f71,plain,
    r2(sk0_23,sk0_20),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ~ r2(X0,X1)
      | ~ r2(X2,X1)
      | X0 = X2 ),
    inference(destructive_equality_resolution,[status(esa)],[f46]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X1,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f63]) ).

fof(f93,plain,
    r2(sk0_22,sk0_20),
    inference(forward_demodulation,[status(thm)],[f68,f67]) ).

fof(f95,plain,
    ~ r1(sk0_23),
    inference(resolution,[status(thm)],[f88,f70]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ r2(X0,sk0_20)
      | X0 = sk0_23 ),
    inference(resolution,[status(thm)],[f87,f71]) ).

fof(f100,plain,
    sk0_22 = sk0_23,
    inference(resolution,[status(thm)],[f97,f93]) ).

fof(f102,plain,
    ~ r1(sk0_22),
    inference(backward_demodulation,[status(thm)],[f100,f95]) ).

fof(f103,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f102,f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:38:37 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.31  % Drodi V3.5.1
% 0.16/0.54  % Refutation found
% 0.16/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.015972 seconds
% 0.16/0.54  % CPU time: 0.012886 seconds
% 0.16/0.54  % Memory used: 3.647 MB
%------------------------------------------------------------------------------