%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV392+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n004.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  : 600s
% DateTime : Wed Jul 20 20:31:28 EDT 2022

% Result   : Theorem 0.15s 0.39s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   21 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   8   ~;   1   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn  15   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax22,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V) ).

fof(l28_co,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 ) ) ) ).

fof(subgoal_0,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(strip,[],[l28_co]) ).

fof(negate_0_0,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(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [U,V] :
      ( pair_in_list(create_slb,U,V)
      & ? [W] :
          ( U != W
          & ~ pair_in_list(remove_slb(create_slb,W),U,V)
          & contains_slb(create_slb,W) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(canonicalize,[],[ax22]) ).

fof(normalize_0_2,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_2]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV392+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Thu Jun 16 02:46:23 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39  
% 0.15/0.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.39  
%------------------------------------------------------------------------------