%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  21   ~;  13   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (;  16   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X7,Y10] :
      ( ! [Y20] :
          ( ~ id(Y20,Y10)
          | ~ r1(Y20) )
      | ~ r2(X7,Y10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [Y1] :
      ( ! [Y2] :
          ( ~ id(Y2,Y1)
          | ~ r1(Y2) )
      | ! [Y3] :
          ( ~ r1(Y3)
          | ~ r2(Y3,Y1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [Y1] :
        ( ! [Y2] :
            ( ~ id(Y2,Y1)
            | ~ r1(Y2) )
        | ! [Y3] :
            ( ~ r1(Y3)
            | ~ r2(Y3,Y1) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f89,plain,
    ! [Y10] :
      ( ! [Y20] :
          ( ~ id(Y20,Y10)
          | ~ r1(Y20) )
      | ! [X7] : ~ r2(X7,Y10) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ id(X0,X1)
      | ~ r1(X0)
      | ~ r2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f89]) ).

fof(f91,plain,
    ? [Y1] :
      ( ? [Y2] :
          ( id(Y2,Y1)
          & r1(Y2) )
      & ? [Y3] :
          ( r1(Y3)
          & r2(Y3,Y1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ( id(sk0_21,sk0_20)
    & r1(sk0_21)
    & r1(sk0_22)
    & r2(sk0_22,sk0_20) ),
    inference(skolemization,[status(esa)],[f91]) ).

fof(f93,plain,
    id(sk0_21,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f94,plain,
    r1(sk0_21),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f96,plain,
    r2(sk0_22,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ id(X0,sk0_20)
      | ~ r1(X0) ),
    inference(resolution,[status(thm)],[f90,f96]) ).

fof(f126,plain,
    ~ id(sk0_21,sk0_20),
    inference(resolution,[status(thm)],[f124,f94]) ).

fof(f127,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f126,f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n024.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Tue May 30 10:43:48 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Drodi V3.5.1
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.59  % Elapsed time: 0.035136 seconds
% 0.18/0.59  % CPU time: 0.013525 seconds
% 0.18/0.59  % Memory used: 611.953 KB
%------------------------------------------------------------------------------