%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:31:15 EDT 2023

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   33 (  10   ~;   5   |;  18   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   0 con; 1-2 aty)
%            Number of variables   :   30 (;  19   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X20] : id(X20,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X1,X8] :
    ? [Y4] :
      ( ? [Y5] :
          ( id(Y5,Y4)
          & ? [Y15] :
              ( r2(X8,Y15)
              & r3(X1,Y15,Y5) ) )
      & ? [Y7] :
          ( r2(Y7,Y4)
          & r3(X1,X8,Y7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X5] :
    ? [Y8] :
      ( ? [Y17] :
          ( r1(Y17)
          & r4(X5,Y17,Y8) )
      & ? [Y18] :
          ( id(Y8,Y18)
          & r1(Y18) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ? [Y1] :
      ( id(Y1,Y1)
      & ? [Y2] :
          ( r1(Y2)
          & r2(Y2,Y1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f41,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f61,plain,
    ! [X1,X8] :
      ( id(sk0_5(X8,X1),sk0_4(X8,X1))
      & r2(X8,sk0_6(X8,X1))
      & r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
      & r2(sk0_7(X8,X1),sk0_4(X8,X1))
      & r3(X1,X8,sk0_7(X8,X1)) ),
    inference(skolemization,[status(esa)],[f12]) ).

fof(f63,plain,
    ! [X0,X1] : r2(X0,sk0_6(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f78,plain,
    ! [X5] :
      ( r1(sk0_15(X5))
      & r4(X5,sk0_15(X5),sk0_14(X5))
      & id(sk0_14(X5),sk0_16(X5))
      & r1(sk0_16(X5)) ),
    inference(skolemization,[status(esa)],[f16]) ).

fof(f82,plain,
    ! [X0] : r1(sk0_16(X0)),
    inference(cnf_transformation,[status(esa)],[f78]) ).

fof(f91,plain,
    ! [Y1] :
      ( ~ id(Y1,Y1)
      | ! [Y2] :
          ( ~ r1(Y2)
          | ~ r2(Y2,Y1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ id(X0,X0)
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f92,f41]) ).

fof(f126,plain,
    ! [X0,X1] : ~ r2(sk0_16(X0),X1),
    inference(resolution,[status(thm)],[f82,f120]) ).

fof(f127,plain,
    $false,
    inference(resolution,[status(thm)],[f63,f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:59:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58  % Elapsed time: 0.017613 seconds
% 0.19/0.58  % CPU time: 0.020794 seconds
% 0.19/0.58  % Memory used: 609.878 KB
%------------------------------------------------------------------------------