## TPTP Problem File: QUA012^1.p

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```%------------------------------------------------------------------------------
% File     : QUA012^1 : TPTP v7.2.0. Released v4.1.0.
% Domain   : Quantales
% Problem  : 0 annihilates arbitrary sums from the left
% Version  : [Hoe09] axioms.
% English  :

% Refs     : [Con71] Conway (1971), Regular Algebra and Finite Machines
%          : [Hoe09] Hoefner (2009), Email to Geoff Sutcliffe
% Source   : [Hoe09]
% Names    : QUA12 [Hoe09]

% Status   : Theorem
% Rating   : 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.57 v6.0.0, 0.43 v5.5.0, 0.67 v5.4.0, 0.80 v4.1.0
% Syntax   : Number of formulae    :   27 (   0 unit;  12 type;   7 defn)
%            Number of atoms       :   97 (  18 equality;  41 variable)
%            Maximal formula depth :   12 (   5 average)
%            Number of connectives :   46 (   0   ~;   1   |;   4   &;  40   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12   :;   0   =)
%            Number of variables   :   28 (   1 sgn;   9   !;   4   ?;  15   ^)
%                                         (  28   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_THM_EQU_NAR