%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUN067+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 : Tue Apr 30 20:36:20 EDT 2024

% Result   : Theorem 0.11s 0.36s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (  20   ~;  11   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :   41 (  34   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X21,X22] :
      ( ~ id(X21,X22)
      | id(X22,X21) ),
    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(f18,axiom,
    ! [X7,Y10] :
      ( ! [Y20] :
          ( ~ id(Y20,Y10)
          | ~ r1(Y20) )
      | ~ r2(X7,Y10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f42,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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(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(Y1,Y2)
      & r1(Y2) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ! [Y1] :
      ( id(Y1,sk0_20(Y1))
      & r1(sk0_20(Y1)) ),
    inference(skolemization,[status(esa)],[f91]) ).

fof(f93,plain,
    ! [X0] : id(X0,sk0_20(X0)),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f94,plain,
    ! [X0] : r1(sk0_20(X0)),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ~ id(X0,sk0_6(X1,X2))
      | ~ r1(X0) ),
    inference(resolution,[status(thm)],[f63,f90]) ).

fof(f126,plain,
    ! [X0,X1,X2] : ~ id(sk0_20(X0),sk0_6(X1,X2)),
    inference(resolution,[status(thm)],[f122,f94]) ).

fof(f128,plain,
    ! [X0,X1,X2] : ~ id(sk0_6(X0,X1),sk0_20(X2)),
    inference(resolution,[status(thm)],[f126,f42]) ).

fof(f129,plain,
    $false,
    inference(resolution,[status(thm)],[f128,f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : NUN067+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 : n014.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 : Mon Apr 29 22:31:04 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.36  % Refutation found
% 0.11/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.019982 seconds
% 0.11/0.37  % CPU time: 0.044105 seconds
% 0.11/0.37  % Total memory used: 2.724 MB
% 0.11/0.37  % Net memory used: 2.707 MB
%------------------------------------------------------------------------------