%--------------------------------------------------------------------------
% File     : FLD009-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain   : Field Theory (Ordered fields)
% Problem  : Linear equations in the multiplicative group have a solution
% Version  : [Dra93] axioms : Especial.
%            Theorem formulation : Functional with glxx axiom set.
% English  :

% Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% Source   : [Dra93]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.36 v9.0.0, 0.25 v8.2.0, 0.29 v7.5.0, 0.33 v7.1.0, 0.67 v7.0.0, 0.62 v6.3.0, 0.57 v6.2.0, 0.56 v6.1.0, 0.57 v6.0.0, 0.71 v5.5.0, 0.75 v5.4.0, 0.80 v5.2.0, 0.50 v5.1.0, 0.45 v5.0.0, 0.64 v4.1.0, 0.62 v4.0.1, 0.60 v4.0.0, 0.57 v3.5.0, 0.71 v3.4.0, 0.50 v3.3.0, 0.33 v2.7.0, 0.25 v2.6.0, 0.67 v2.5.0, 0.40 v2.4.0, 0.60 v2.3.0, 0.67 v2.2.1, 0.67 v2.1.0
% Syntax   : Number of clauses     :   31 (   7 unt;   3 nHn;  31 RR)
%            Number of literals    :   77 (   0 equ;  46 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   51 (   1 sgn)
% SPC      : CNF_UNS_RFO_NEQ_NHN

% Comments :
% Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
%--------------------------------------------------------------------------
include('Axioms/FLD001-0.ax').
%--------------------------------------------------------------------------
cnf(a_is_defined,hypothesis,
    defined(a) ).

cnf(b_is_defined,hypothesis,
    defined(b) ).

cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
    ~ equalish(a,additive_identity) ).

cnf(multiply_not_equal_to_b_4,negated_conjecture,
    ~ equalish(multiply(a,X),b) ).

%--------------------------------------------------------------------------