%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 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 20:46:55 EDT 2024

% Result   : Theorem 0.14s 0.31s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   20 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   19 (   7   ~;   2   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   8   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [U] : ~ contains_slb(create_slb,U),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [U,V] :
      ( pair_in_list(create_slb,U,V)
     => ! [W] :
          ( contains_slb(create_slb,W)
         => ( pair_in_list(remove_slb(create_slb,W),U,V)
            | U = W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [U,V] :
        ( pair_in_list(create_slb,U,V)
       => ! [W] :
            ( contains_slb(create_slb,W)
           => ( pair_in_list(remove_slb(create_slb,W),U,V)
              | U = W ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f34,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f62,plain,
    ? [U,V] :
      ( pair_in_list(create_slb,U,V)
      & ? [W] :
          ( contains_slb(create_slb,W)
          & ~ pair_in_list(remove_slb(create_slb,W),U,V)
          & U != W ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f63,plain,
    ( pair_in_list(create_slb,sk0_0,sk0_1)
    & contains_slb(create_slb,sk0_2)
    & ~ pair_in_list(remove_slb(create_slb,sk0_2),sk0_0,sk0_1)
    & sk0_0 != sk0_2 ),
    inference(skolemization,[status(esa)],[f62]) ).

fof(f65,plain,
    contains_slb(create_slb,sk0_2),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f70,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f65,f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n014.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue Apr 30 00:48:34 EDT 2024
% 0.14/0.30  % CPUTime  : 
% 0.14/0.31  % Drodi V3.6.0
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32  % Elapsed time: 0.021366 seconds
% 0.14/0.32  % CPU time: 0.021824 seconds
% 0.14/0.32  % Total memory used: 7.295 MB
% 0.14/0.32  % Net memory used: 7.227 MB
%------------------------------------------------------------------------------