%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 : Tue Jul 19 12:38:54 EDT 2022

% Result   : Theorem 0.21s 0.46s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   2 unt;   0 def)
%            Number of atoms       :   16 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   14 (   0 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l23_zfmisc_1,lemma,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ) ).

fof(t46_zfmisc_1,conjecture,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ) ).

fof(subgoal_0,plain,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    inference(strip,[],[t46_zfmisc_1]) ).

fof(negate_0_0,plain,
    ~ ! [A,B] :
        ( in(A,B)
       => set_union2(singleton(A),B) = B ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [A,B] :
      ( set_union2(singleton(A),B) != B
      & in(A,B) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | set_union2(singleton(A),B) = B ),
    inference(canonicalize,[],[l23_zfmisc_1]) ).

fof(normalize_0_2,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | set_union2(singleton(A),B) = B ),
    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
% 0.03/0.13  % Problem  : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 20 01:52:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46  
% 0.21/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.47  
%------------------------------------------------------------------------------