## TPTP Problem File: SEU163+1.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Domain   : Set theory
% Problem  : MPTP bushy problem t92_zfmisc_1
% Version  : [Urb07] axioms : Especial.
% English  :

% Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
%          : [Urb07] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb07]
% Names    : bushy-t92_zfmisc_1 [Urb07]

% Status   : Theorem
% Rating   : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% Syntax   : Number of formulae    :    5 (   2 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)
% SPC      : FOF_THM_RFO_NEQ

% Comments : Translated by MPTP 0.2 from the original problem in the Mizar
%            library, www.mizar.org
%------------------------------------------------------------------------------
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A) ).

fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ) ).

fof(dt_k3_tarski,axiom,
\$true ).

fof(t92_zfmisc_1,conjecture,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ) ).

fof(l50_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ) ).

%------------------------------------------------------------------------------
```