%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   40 (  24 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   43 (  19   ~;   5   |;   9   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 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   :   24 (   0 sgn  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t39_zfmisc_1,conjecture,
    ! [A,B] :
      ( subset(A,singleton(B))
    <=> ( A = empty_set
        | A = singleton(B) ) ) ).

fof(l4_zfmisc_1,axiom,
    ! [A,B] :
      ( subset(A,singleton(B))
    <=> ( A = empty_set
        | A = singleton(B) ) ) ).

fof(subgoal_0,plain,
    ! [A,B] :
      ( ( subset(A,singleton(B))
        & A != empty_set )
     => A = singleton(B) ),
    inference(strip,[],[t39_zfmisc_1]) ).

fof(subgoal_1,plain,
    ! [A,B] :
      ( ( A = empty_set
        | A = singleton(B) )
     => subset(A,singleton(B)) ),
    inference(strip,[],[t39_zfmisc_1]) ).

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

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

fof(normalize_0_1,plain,
    ! [A,B] :
      ( ~ subset(A,singleton(B))
    <=> ( A != empty_set
        & A != singleton(B) ) ),
    inference(canonicalize,[],[l4_zfmisc_1]) ).

fof(normalize_0_2,plain,
    ! [A,B] :
      ( ~ subset(A,singleton(B))
    <=> ( A != empty_set
        & A != singleton(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]) ).

fof(negate_1_0,plain,
    ~ ! [A,B] :
        ( ( A = empty_set
          | A = singleton(B) )
       => subset(A,singleton(B)) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ? [A,B] :
      ( ~ subset(A,singleton(B))
      & ( A = empty_set
        | A = singleton(B) ) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_1,plain,
    ! [A,B] :
      ( ~ subset(A,singleton(B))
    <=> ( A != empty_set
        & A != singleton(B) ) ),
    inference(canonicalize,[],[l4_zfmisc_1]) ).

fof(normalize_1_2,plain,
    ! [A,B] :
      ( ~ subset(A,singleton(B))
    <=> ( A != empty_set
        & A != singleton(B) ) ),
    inference(specialize,[],[normalize_1_1]) ).

fof(normalize_1_3,plain,
    $false,
    inference(simplify,[],[normalize_1_0,normalize_1_2]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 07:56:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------