TPTP Problem File: SET347+4.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SET347+4 : TPTP v8.2.0. Released v2.2.0.
% Domain : Set Theory (Naive)
% Problem : Sum of the empty set is the empty set
% Version : [Pas99] axioms.
% English :
% Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% Source : [Pas99]
% Names :
% Status : Theorem
% Rating : 0.11 v8.2.0, 0.14 v8.1.0, 0.19 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.17 v6.0.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.17 v4.0.0, 0.21 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.25 v2.4.0, 0.25 v2.3.0, 0.00 v2.2.1
% Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% Number of atoms : 30 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 2 ~; 2 |; 4 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 27 !; 1 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%--------------------------------------------------------------------------
%----Include set theory definitions
include('Axioms/SET006+0.ax').
%--------------------------------------------------------------------------
fof(thI38,conjecture,
equal_set(sum(empty_set),empty_set) ).
%--------------------------------------------------------------------------