%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUN089+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:36:25 EDT 2024

% Result   : Theorem 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   46 (  23   ~;  15   |;   8   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   23 (  19   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
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] :
          ( ! [Y3] :
              ( ~ r1(Y3)
              | ~ r2(Y3,Y2) )
          | ~ r2(Y2,Y1) )
      | ! [Y4] :
          ( ~ id(Y4,Y1)
          | ~ r1(Y4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [Y1] :
        ( ! [Y2] :
            ( ! [Y3] :
                ( ~ r1(Y3)
                | ~ r2(Y3,Y2) )
            | ~ r2(Y2,Y1) )
        | ! [Y4] :
            ( ~ id(Y4,Y1)
            | ~ r1(Y4) ) ),
    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] :
          ( ? [Y3] :
              ( r1(Y3)
              & r2(Y3,Y2) )
          & r2(Y2,Y1) )
      & ? [Y4] :
          ( id(Y4,Y1)
          & r1(Y4) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ( r1(sk0_22)
    & r2(sk0_22,sk0_21)
    & r2(sk0_21,sk0_20)
    & id(sk0_23,sk0_20)
    & r1(sk0_23) ),
    inference(skolemization,[status(esa)],[f91]) ).

fof(f95,plain,
    r2(sk0_21,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f96,plain,
    id(sk0_23,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f97,plain,
    r1(sk0_23),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ id(sk0_23,X0)
      | ~ r2(X1,X0) ),
    inference(resolution,[status(thm)],[f90,f97]) ).

fof(f127,plain,
    ~ id(sk0_23,sk0_20),
    inference(resolution,[status(thm)],[f125,f95]) ).

fof(f128,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f127,f96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUN089+1 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36  % Computer : n012.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Apr 29 22:29:57 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.20/0.37  % Drodi V3.6.0
% 0.20/0.40  % Refutation found
% 0.20/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.017579 seconds
% 0.20/0.40  % CPU time: 0.041307 seconds
% 0.20/0.40  % Total memory used: 2.652 MB
% 0.20/0.40  % Net memory used: 2.648 MB
%------------------------------------------------------------------------------