%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 03:38:12 EDT 2022

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   2 unt;   0 def)
%            Number of atoms       :   30 (  21 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   47 (  26   ~;   5   |;  14   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (   0 sgn  17   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t41_zfmisc_1,conjecture,
    ! [A,B] :
      ~ ( A != singleton(B)
        & A != empty_set
        & ! [C] :
            ~ ( in(C,A)
              & C != B ) ) ).

fof(l45_zfmisc_1,axiom,
    ! [A,B] :
      ~ ( A != singleton(B)
        & A != empty_set
        & ! [C] :
            ~ ( in(C,A)
              & C != B ) ) ).

fof(subgoal_0,plain,
    ! [A,B] :
      ( ( A != singleton(B)
        & A != empty_set )
     => ~ ! [C] :
            ~ ( in(C,A)
              & C != B ) ),
    inference(strip,[],[t41_zfmisc_1]) ).

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

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

fof(normalize_0_1,plain,
    ! [A,B] :
      ( A = empty_set
      | A = singleton(B)
      | ? [C] :
          ( C != B
          & in(C,A) ) ),
    inference(canonicalize,[],[l45_zfmisc_1]) ).

fof(normalize_0_2,plain,
    ! [A,B] :
      ( A = empty_set
      | A = singleton(B)
      | ? [C] :
          ( C != B
          & in(C,A) ) ),
    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
% 0.11/0.12  % Problem  : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 00:50:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------