TPTP Axioms File: PUZ005+0.ax


%------------------------------------------------------------------------------
% File     : PUZ005+0 : TPTP v7.5.0. Released v3.2.0.
% Domain   : Puzzles (Sudoku)
% Axioms   : Sudoku axioms
% Version  : [Hil06] axioms : Especial.
% English  :

% Refs     : [Hil06] Hillenbrand (2006), Email to G. Sutcliffe
% Source   : [Hil06]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of formulae    :  353 (   1 unit)
%            Number of atoms       : 3925 (3924 equality)
%            Maximal formula depth :   37 (  11 average)
%            Number of connectives : 4580 (1008 ~  ;2592  |; 980  &)
%                                         (   0 <=>;   0 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :    2 (   0 propositional; 2-81 arity)
%            Number of functors    :   10 (   9 constant; 0-2 arity)
%            Number of variables   :    0 (   0 singleton;   0 !;   0 ?)
%            Maximal term depth    :    2 (   2 average)
% SPC      : 

% Comments :
%------------------------------------------------------------------------------
%----Lower cardinality bound
fof(ax1,axiom,
    ( n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n7 != n8
    & n7 != n9
    & n8 != n9 )).

%----Row constraints
fof(ax2,axiom,
    ( ssA(n1,n1) = n1
    | ssA(n1,n2) = n1
    | ssA(n1,n3) = n1
    | ssA(n1,n4) = n1
    | ssA(n1,n5) = n1
    | ssA(n1,n6) = n1
    | ssA(n1,n7) = n1
    | ssA(n1,n8) = n1
    | ssA(n1,n9) = n1 )).

fof(ax3,axiom,
    ( ssA(n1,n1) = n2
    | ssA(n1,n2) = n2
    | ssA(n1,n3) = n2
    | ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2 )).

fof(ax4,axiom,
    ( ssA(n1,n1) = n3
    | ssA(n1,n2) = n3
    | ssA(n1,n3) = n3
    | ssA(n1,n4) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n6) = n3
    | ssA(n1,n7) = n3
    | ssA(n1,n8) = n3
    | ssA(n1,n9) = n3 )).

fof(ax5,axiom,
    ( ssA(n1,n1) = n4
    | ssA(n1,n2) = n4
    | ssA(n1,n3) = n4
    | ssA(n1,n4) = n4
    | ssA(n1,n5) = n4
    | ssA(n1,n6) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n9) = n4 )).

fof(ax6,axiom,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n1,n4) = n5
    | ssA(n1,n5) = n5
    | ssA(n1,n6) = n5
    | ssA(n1,n7) = n5
    | ssA(n1,n8) = n5
    | ssA(n1,n9) = n5 )).

fof(ax7,axiom,
    ( ssA(n1,n1) = n6
    | ssA(n1,n2) = n6
    | ssA(n1,n3) = n6
    | ssA(n1,n4) = n6
    | ssA(n1,n5) = n6
    | ssA(n1,n6) = n6
    | ssA(n1,n7) = n6
    | ssA(n1,n8) = n6
    | ssA(n1,n9) = n6 )).

fof(ax8,axiom,
    ( ssA(n1,n1) = n7
    | ssA(n1,n2) = n7
    | ssA(n1,n3) = n7
    | ssA(n1,n4) = n7
    | ssA(n1,n5) = n7
    | ssA(n1,n6) = n7
    | ssA(n1,n7) = n7
    | ssA(n1,n8) = n7
    | ssA(n1,n9) = n7 )).

fof(ax9,axiom,
    ( ssA(n1,n1) = n8
    | ssA(n1,n2) = n8
    | ssA(n1,n3) = n8
    | ssA(n1,n4) = n8
    | ssA(n1,n5) = n8
    | ssA(n1,n6) = n8
    | ssA(n1,n7) = n8
    | ssA(n1,n8) = n8
    | ssA(n1,n9) = n8 )).

fof(ax10,axiom,
    ( ssA(n1,n1) = n9
    | ssA(n1,n2) = n9
    | ssA(n1,n3) = n9
    | ssA(n1,n4) = n9
    | ssA(n1,n5) = n9
    | ssA(n1,n6) = n9
    | ssA(n1,n7) = n9
    | ssA(n1,n8) = n9
    | ssA(n1,n9) = n9 )).

fof(ax11,axiom,
    ( ssA(n1,n1) != ssA(n1,n2)
    & ssA(n1,n1) != ssA(n1,n3)
    & ssA(n1,n1) != ssA(n1,n4)
    & ssA(n1,n1) != ssA(n1,n5)
    & ssA(n1,n1) != ssA(n1,n6)
    & ssA(n1,n1) != ssA(n1,n7)
    & ssA(n1,n1) != ssA(n1,n8)
    & ssA(n1,n1) != ssA(n1,n9)
    & ssA(n1,n2) != ssA(n1,n3)
    & ssA(n1,n2) != ssA(n1,n4)
    & ssA(n1,n2) != ssA(n1,n5)
    & ssA(n1,n2) != ssA(n1,n6)
    & ssA(n1,n2) != ssA(n1,n7)
    & ssA(n1,n2) != ssA(n1,n8)
    & ssA(n1,n2) != ssA(n1,n9)
    & ssA(n1,n3) != ssA(n1,n4)
    & ssA(n1,n3) != ssA(n1,n5)
    & ssA(n1,n3) != ssA(n1,n6)
    & ssA(n1,n3) != ssA(n1,n7)
    & ssA(n1,n3) != ssA(n1,n8)
    & ssA(n1,n3) != ssA(n1,n9)
    & ssA(n1,n4) != ssA(n1,n5)
    & ssA(n1,n4) != ssA(n1,n6)
    & ssA(n1,n4) != ssA(n1,n7)
    & ssA(n1,n4) != ssA(n1,n8)
    & ssA(n1,n4) != ssA(n1,n9)
    & ssA(n1,n5) != ssA(n1,n6)
    & ssA(n1,n5) != ssA(n1,n7)
    & ssA(n1,n5) != ssA(n1,n8)
    & ssA(n1,n5) != ssA(n1,n9)
    & ssA(n1,n6) != ssA(n1,n7)
    & ssA(n1,n6) != ssA(n1,n8)
    & ssA(n1,n6) != ssA(n1,n9)
    & ssA(n1,n7) != ssA(n1,n8)
    & ssA(n1,n7) != ssA(n1,n9)
    & ssA(n1,n8) != ssA(n1,n9) )).

fof(ax12,axiom,
    ( ssA(n2,n1) = n1
    | ssA(n2,n2) = n1
    | ssA(n2,n3) = n1
    | ssA(n2,n4) = n1
    | ssA(n2,n5) = n1
    | ssA(n2,n6) = n1
    | ssA(n2,n7) = n1
    | ssA(n2,n8) = n1
    | ssA(n2,n9) = n1 )).

fof(ax13,axiom,
    ( ssA(n2,n1) = n2
    | ssA(n2,n2) = n2
    | ssA(n2,n3) = n2
    | ssA(n2,n4) = n2
    | ssA(n2,n5) = n2
    | ssA(n2,n6) = n2
    | ssA(n2,n7) = n2
    | ssA(n2,n8) = n2
    | ssA(n2,n9) = n2 )).

fof(ax14,axiom,
    ( ssA(n2,n1) = n3
    | ssA(n2,n2) = n3
    | ssA(n2,n3) = n3
    | ssA(n2,n4) = n3
    | ssA(n2,n5) = n3
    | ssA(n2,n6) = n3
    | ssA(n2,n7) = n3
    | ssA(n2,n8) = n3
    | ssA(n2,n9) = n3 )).

fof(ax15,axiom,
    ( ssA(n2,n1) = n4
    | ssA(n2,n2) = n4
    | ssA(n2,n3) = n4
    | ssA(n2,n4) = n4
    | ssA(n2,n5) = n4
    | ssA(n2,n6) = n4
    | ssA(n2,n7) = n4
    | ssA(n2,n8) = n4
    | ssA(n2,n9) = n4 )).

fof(ax16,axiom,
    ( ssA(n2,n1) = n5
    | ssA(n2,n2) = n5
    | ssA(n2,n3) = n5
    | ssA(n2,n4) = n5
    | ssA(n2,n5) = n5
    | ssA(n2,n6) = n5
    | ssA(n2,n7) = n5
    | ssA(n2,n8) = n5
    | ssA(n2,n9) = n5 )).

fof(ax17,axiom,
    ( ssA(n2,n1) = n6
    | ssA(n2,n2) = n6
    | ssA(n2,n3) = n6
    | ssA(n2,n4) = n6
    | ssA(n2,n5) = n6
    | ssA(n2,n6) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6 )).

fof(ax18,axiom,
    ( ssA(n2,n1) = n7
    | ssA(n2,n2) = n7
    | ssA(n2,n3) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n2,n7) = n7
    | ssA(n2,n8) = n7
    | ssA(n2,n9) = n7 )).

fof(ax19,axiom,
    ( ssA(n2,n1) = n8
    | ssA(n2,n2) = n8
    | ssA(n2,n3) = n8
    | ssA(n2,n4) = n8
    | ssA(n2,n5) = n8
    | ssA(n2,n6) = n8
    | ssA(n2,n7) = n8
    | ssA(n2,n8) = n8
    | ssA(n2,n9) = n8 )).

fof(ax20,axiom,
    ( ssA(n2,n1) = n9
    | ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n2,n7) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n9) = n9 )).

fof(ax21,axiom,
    ( ssA(n2,n1) != ssA(n2,n2)
    & ssA(n2,n1) != ssA(n2,n3)
    & ssA(n2,n1) != ssA(n2,n4)
    & ssA(n2,n1) != ssA(n2,n5)
    & ssA(n2,n1) != ssA(n2,n6)
    & ssA(n2,n1) != ssA(n2,n7)
    & ssA(n2,n1) != ssA(n2,n8)
    & ssA(n2,n1) != ssA(n2,n9)
    & ssA(n2,n2) != ssA(n2,n3)
    & ssA(n2,n2) != ssA(n2,n4)
    & ssA(n2,n2) != ssA(n2,n5)
    & ssA(n2,n2) != ssA(n2,n6)
    & ssA(n2,n2) != ssA(n2,n7)
    & ssA(n2,n2) != ssA(n2,n8)
    & ssA(n2,n2) != ssA(n2,n9)
    & ssA(n2,n3) != ssA(n2,n4)
    & ssA(n2,n3) != ssA(n2,n5)
    & ssA(n2,n3) != ssA(n2,n6)
    & ssA(n2,n3) != ssA(n2,n7)
    & ssA(n2,n3) != ssA(n2,n8)
    & ssA(n2,n3) != ssA(n2,n9)
    & ssA(n2,n4) != ssA(n2,n5)
    & ssA(n2,n4) != ssA(n2,n6)
    & ssA(n2,n4) != ssA(n2,n7)
    & ssA(n2,n4) != ssA(n2,n8)
    & ssA(n2,n4) != ssA(n2,n9)
    & ssA(n2,n5) != ssA(n2,n6)
    & ssA(n2,n5) != ssA(n2,n7)
    & ssA(n2,n5) != ssA(n2,n8)
    & ssA(n2,n5) != ssA(n2,n9)
    & ssA(n2,n6) != ssA(n2,n7)
    & ssA(n2,n6) != ssA(n2,n8)
    & ssA(n2,n6) != ssA(n2,n9)
    & ssA(n2,n7) != ssA(n2,n8)
    & ssA(n2,n7) != ssA(n2,n9)
    & ssA(n2,n8) != ssA(n2,n9) )).

fof(ax22,axiom,
    ( ssA(n3,n1) = n1
    | ssA(n3,n2) = n1
    | ssA(n3,n3) = n1
    | ssA(n3,n4) = n1
    | ssA(n3,n5) = n1
    | ssA(n3,n6) = n1
    | ssA(n3,n7) = n1
    | ssA(n3,n8) = n1
    | ssA(n3,n9) = n1 )).

fof(ax23,axiom,
    ( ssA(n3,n1) = n2
    | ssA(n3,n2) = n2
    | ssA(n3,n3) = n2
    | ssA(n3,n4) = n2
    | ssA(n3,n5) = n2
    | ssA(n3,n6) = n2
    | ssA(n3,n7) = n2
    | ssA(n3,n8) = n2
    | ssA(n3,n9) = n2 )).

fof(ax24,axiom,
    ( ssA(n3,n1) = n3
    | ssA(n3,n2) = n3
    | ssA(n3,n3) = n3
    | ssA(n3,n4) = n3
    | ssA(n3,n5) = n3
    | ssA(n3,n6) = n3
    | ssA(n3,n7) = n3
    | ssA(n3,n8) = n3
    | ssA(n3,n9) = n3 )).

fof(ax25,axiom,
    ( ssA(n3,n1) = n4
    | ssA(n3,n2) = n4
    | ssA(n3,n3) = n4
    | ssA(n3,n4) = n4
    | ssA(n3,n5) = n4
    | ssA(n3,n6) = n4
    | ssA(n3,n7) = n4
    | ssA(n3,n8) = n4
    | ssA(n3,n9) = n4 )).

fof(ax26,axiom,
    ( ssA(n3,n1) = n5
    | ssA(n3,n2) = n5
    | ssA(n3,n3) = n5
    | ssA(n3,n4) = n5
    | ssA(n3,n5) = n5
    | ssA(n3,n6) = n5
    | ssA(n3,n7) = n5
    | ssA(n3,n8) = n5
    | ssA(n3,n9) = n5 )).

fof(ax27,axiom,
    ( ssA(n3,n1) = n6
    | ssA(n3,n2) = n6
    | ssA(n3,n3) = n6
    | ssA(n3,n4) = n6
    | ssA(n3,n5) = n6
    | ssA(n3,n6) = n6
    | ssA(n3,n7) = n6
    | ssA(n3,n8) = n6
    | ssA(n3,n9) = n6 )).

fof(ax28,axiom,
    ( ssA(n3,n1) = n7
    | ssA(n3,n2) = n7
    | ssA(n3,n3) = n7
    | ssA(n3,n4) = n7
    | ssA(n3,n5) = n7
    | ssA(n3,n6) = n7
    | ssA(n3,n7) = n7
    | ssA(n3,n8) = n7
    | ssA(n3,n9) = n7 )).

fof(ax29,axiom,
    ( ssA(n3,n1) = n8
    | ssA(n3,n2) = n8
    | ssA(n3,n3) = n8
    | ssA(n3,n4) = n8
    | ssA(n3,n5) = n8
    | ssA(n3,n6) = n8
    | ssA(n3,n7) = n8
    | ssA(n3,n8) = n8
    | ssA(n3,n9) = n8 )).

fof(ax30,axiom,
    ( ssA(n3,n1) = n9
    | ssA(n3,n2) = n9
    | ssA(n3,n3) = n9
    | ssA(n3,n4) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n6) = n9
    | ssA(n3,n7) = n9
    | ssA(n3,n8) = n9
    | ssA(n3,n9) = n9 )).

fof(ax31,axiom,
    ( ssA(n3,n1) != ssA(n3,n2)
    & ssA(n3,n1) != ssA(n3,n3)
    & ssA(n3,n1) != ssA(n3,n4)
    & ssA(n3,n1) != ssA(n3,n5)
    & ssA(n3,n1) != ssA(n3,n6)
    & ssA(n3,n1) != ssA(n3,n7)
    & ssA(n3,n1) != ssA(n3,n8)
    & ssA(n3,n1) != ssA(n3,n9)
    & ssA(n3,n2) != ssA(n3,n3)
    & ssA(n3,n2) != ssA(n3,n4)
    & ssA(n3,n2) != ssA(n3,n5)
    & ssA(n3,n2) != ssA(n3,n6)
    & ssA(n3,n2) != ssA(n3,n7)
    & ssA(n3,n2) != ssA(n3,n8)
    & ssA(n3,n2) != ssA(n3,n9)
    & ssA(n3,n3) != ssA(n3,n4)
    & ssA(n3,n3) != ssA(n3,n5)
    & ssA(n3,n3) != ssA(n3,n6)
    & ssA(n3,n3) != ssA(n3,n7)
    & ssA(n3,n3) != ssA(n3,n8)
    & ssA(n3,n3) != ssA(n3,n9)
    & ssA(n3,n4) != ssA(n3,n5)
    & ssA(n3,n4) != ssA(n3,n6)
    & ssA(n3,n4) != ssA(n3,n7)
    & ssA(n3,n4) != ssA(n3,n8)
    & ssA(n3,n4) != ssA(n3,n9)
    & ssA(n3,n5) != ssA(n3,n6)
    & ssA(n3,n5) != ssA(n3,n7)
    & ssA(n3,n5) != ssA(n3,n8)
    & ssA(n3,n5) != ssA(n3,n9)
    & ssA(n3,n6) != ssA(n3,n7)
    & ssA(n3,n6) != ssA(n3,n8)
    & ssA(n3,n6) != ssA(n3,n9)
    & ssA(n3,n7) != ssA(n3,n8)
    & ssA(n3,n7) != ssA(n3,n9)
    & ssA(n3,n8) != ssA(n3,n9) )).

fof(ax32,axiom,
    ( ssA(n4,n1) = n1
    | ssA(n4,n2) = n1
    | ssA(n4,n3) = n1
    | ssA(n4,n4) = n1
    | ssA(n4,n5) = n1
    | ssA(n4,n6) = n1
    | ssA(n4,n7) = n1
    | ssA(n4,n8) = n1
    | ssA(n4,n9) = n1 )).

fof(ax33,axiom,
    ( ssA(n4,n1) = n2
    | ssA(n4,n2) = n2
    | ssA(n4,n3) = n2
    | ssA(n4,n4) = n2
    | ssA(n4,n5) = n2
    | ssA(n4,n6) = n2
    | ssA(n4,n7) = n2
    | ssA(n4,n8) = n2
    | ssA(n4,n9) = n2 )).

fof(ax34,axiom,
    ( ssA(n4,n1) = n3
    | ssA(n4,n2) = n3
    | ssA(n4,n3) = n3
    | ssA(n4,n4) = n3
    | ssA(n4,n5) = n3
    | ssA(n4,n6) = n3
    | ssA(n4,n7) = n3
    | ssA(n4,n8) = n3
    | ssA(n4,n9) = n3 )).

fof(ax35,axiom,
    ( ssA(n4,n1) = n4
    | ssA(n4,n2) = n4
    | ssA(n4,n3) = n4
    | ssA(n4,n4) = n4
    | ssA(n4,n5) = n4
    | ssA(n4,n6) = n4
    | ssA(n4,n7) = n4
    | ssA(n4,n8) = n4
    | ssA(n4,n9) = n4 )).

fof(ax36,axiom,
    ( ssA(n4,n1) = n5
    | ssA(n4,n2) = n5
    | ssA(n4,n3) = n5
    | ssA(n4,n4) = n5
    | ssA(n4,n5) = n5
    | ssA(n4,n6) = n5
    | ssA(n4,n7) = n5
    | ssA(n4,n8) = n5
    | ssA(n4,n9) = n5 )).

fof(ax37,axiom,
    ( ssA(n4,n1) = n6
    | ssA(n4,n2) = n6
    | ssA(n4,n3) = n6
    | ssA(n4,n4) = n6
    | ssA(n4,n5) = n6
    | ssA(n4,n6) = n6
    | ssA(n4,n7) = n6
    | ssA(n4,n8) = n6
    | ssA(n4,n9) = n6 )).

fof(ax38,axiom,
    ( ssA(n4,n1) = n7
    | ssA(n4,n2) = n7
    | ssA(n4,n3) = n7
    | ssA(n4,n4) = n7
    | ssA(n4,n5) = n7
    | ssA(n4,n6) = n7
    | ssA(n4,n7) = n7
    | ssA(n4,n8) = n7
    | ssA(n4,n9) = n7 )).

fof(ax39,axiom,
    ( ssA(n4,n1) = n8
    | ssA(n4,n2) = n8
    | ssA(n4,n3) = n8
    | ssA(n4,n4) = n8
    | ssA(n4,n5) = n8
    | ssA(n4,n6) = n8
    | ssA(n4,n7) = n8
    | ssA(n4,n8) = n8
    | ssA(n4,n9) = n8 )).

fof(ax40,axiom,
    ( ssA(n4,n1) = n9
    | ssA(n4,n2) = n9
    | ssA(n4,n3) = n9
    | ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n4,n7) = n9
    | ssA(n4,n8) = n9
    | ssA(n4,n9) = n9 )).

fof(ax41,axiom,
    ( ssA(n4,n1) != ssA(n4,n2)
    & ssA(n4,n1) != ssA(n4,n3)
    & ssA(n4,n1) != ssA(n4,n4)
    & ssA(n4,n1) != ssA(n4,n5)
    & ssA(n4,n1) != ssA(n4,n6)
    & ssA(n4,n1) != ssA(n4,n7)
    & ssA(n4,n1) != ssA(n4,n8)
    & ssA(n4,n1) != ssA(n4,n9)
    & ssA(n4,n2) != ssA(n4,n3)
    & ssA(n4,n2) != ssA(n4,n4)
    & ssA(n4,n2) != ssA(n4,n5)
    & ssA(n4,n2) != ssA(n4,n6)
    & ssA(n4,n2) != ssA(n4,n7)
    & ssA(n4,n2) != ssA(n4,n8)
    & ssA(n4,n2) != ssA(n4,n9)
    & ssA(n4,n3) != ssA(n4,n4)
    & ssA(n4,n3) != ssA(n4,n5)
    & ssA(n4,n3) != ssA(n4,n6)
    & ssA(n4,n3) != ssA(n4,n7)
    & ssA(n4,n3) != ssA(n4,n8)
    & ssA(n4,n3) != ssA(n4,n9)
    & ssA(n4,n4) != ssA(n4,n5)
    & ssA(n4,n4) != ssA(n4,n6)
    & ssA(n4,n4) != ssA(n4,n7)
    & ssA(n4,n4) != ssA(n4,n8)
    & ssA(n4,n4) != ssA(n4,n9)
    & ssA(n4,n5) != ssA(n4,n6)
    & ssA(n4,n5) != ssA(n4,n7)
    & ssA(n4,n5) != ssA(n4,n8)
    & ssA(n4,n5) != ssA(n4,n9)
    & ssA(n4,n6) != ssA(n4,n7)
    & ssA(n4,n6) != ssA(n4,n8)
    & ssA(n4,n6) != ssA(n4,n9)
    & ssA(n4,n7) != ssA(n4,n8)
    & ssA(n4,n7) != ssA(n4,n9)
    & ssA(n4,n8) != ssA(n4,n9) )).

fof(ax42,axiom,
    ( ssA(n5,n1) = n1
    | ssA(n5,n2) = n1
    | ssA(n5,n3) = n1
    | ssA(n5,n4) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n6) = n1
    | ssA(n5,n7) = n1
    | ssA(n5,n8) = n1
    | ssA(n5,n9) = n1 )).

fof(ax43,axiom,
    ( ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n5,n4) = n2
    | ssA(n5,n5) = n2
    | ssA(n5,n6) = n2
    | ssA(n5,n7) = n2
    | ssA(n5,n8) = n2
    | ssA(n5,n9) = n2 )).

fof(ax44,axiom,
    ( ssA(n5,n1) = n3
    | ssA(n5,n2) = n3
    | ssA(n5,n3) = n3
    | ssA(n5,n4) = n3
    | ssA(n5,n5) = n3
    | ssA(n5,n6) = n3
    | ssA(n5,n7) = n3
    | ssA(n5,n8) = n3
    | ssA(n5,n9) = n3 )).

fof(ax45,axiom,
    ( ssA(n5,n1) = n4
    | ssA(n5,n2) = n4
    | ssA(n5,n3) = n4
    | ssA(n5,n4) = n4
    | ssA(n5,n5) = n4
    | ssA(n5,n6) = n4
    | ssA(n5,n7) = n4
    | ssA(n5,n8) = n4
    | ssA(n5,n9) = n4 )).

fof(ax46,axiom,
    ( ssA(n5,n1) = n5
    | ssA(n5,n2) = n5
    | ssA(n5,n3) = n5
    | ssA(n5,n4) = n5
    | ssA(n5,n5) = n5
    | ssA(n5,n6) = n5
    | ssA(n5,n7) = n5
    | ssA(n5,n8) = n5
    | ssA(n5,n9) = n5 )).

fof(ax47,axiom,
    ( ssA(n5,n1) = n6
    | ssA(n5,n2) = n6
    | ssA(n5,n3) = n6
    | ssA(n5,n4) = n6
    | ssA(n5,n5) = n6
    | ssA(n5,n6) = n6
    | ssA(n5,n7) = n6
    | ssA(n5,n8) = n6
    | ssA(n5,n9) = n6 )).

fof(ax48,axiom,
    ( ssA(n5,n1) = n7
    | ssA(n5,n2) = n7
    | ssA(n5,n3) = n7
    | ssA(n5,n4) = n7
    | ssA(n5,n5) = n7
    | ssA(n5,n6) = n7
    | ssA(n5,n7) = n7
    | ssA(n5,n8) = n7
    | ssA(n5,n9) = n7 )).

fof(ax49,axiom,
    ( ssA(n5,n1) = n8
    | ssA(n5,n2) = n8
    | ssA(n5,n3) = n8
    | ssA(n5,n4) = n8
    | ssA(n5,n5) = n8
    | ssA(n5,n6) = n8
    | ssA(n5,n7) = n8
    | ssA(n5,n8) = n8
    | ssA(n5,n9) = n8 )).

fof(ax50,axiom,
    ( ssA(n5,n1) = n9
    | ssA(n5,n2) = n9
    | ssA(n5,n3) = n9
    | ssA(n5,n4) = n9
    | ssA(n5,n5) = n9
    | ssA(n5,n6) = n9
    | ssA(n5,n7) = n9
    | ssA(n5,n8) = n9
    | ssA(n5,n9) = n9 )).

fof(ax51,axiom,
    ( ssA(n5,n1) != ssA(n5,n2)
    & ssA(n5,n1) != ssA(n5,n3)
    & ssA(n5,n1) != ssA(n5,n4)
    & ssA(n5,n1) != ssA(n5,n5)
    & ssA(n5,n1) != ssA(n5,n6)
    & ssA(n5,n1) != ssA(n5,n7)
    & ssA(n5,n1) != ssA(n5,n8)
    & ssA(n5,n1) != ssA(n5,n9)
    & ssA(n5,n2) != ssA(n5,n3)
    & ssA(n5,n2) != ssA(n5,n4)
    & ssA(n5,n2) != ssA(n5,n5)
    & ssA(n5,n2) != ssA(n5,n6)
    & ssA(n5,n2) != ssA(n5,n7)
    & ssA(n5,n2) != ssA(n5,n8)
    & ssA(n5,n2) != ssA(n5,n9)
    & ssA(n5,n3) != ssA(n5,n4)
    & ssA(n5,n3) != ssA(n5,n5)
    & ssA(n5,n3) != ssA(n5,n6)
    & ssA(n5,n3) != ssA(n5,n7)
    & ssA(n5,n3) != ssA(n5,n8)
    & ssA(n5,n3) != ssA(n5,n9)
    & ssA(n5,n4) != ssA(n5,n5)
    & ssA(n5,n4) != ssA(n5,n6)
    & ssA(n5,n4) != ssA(n5,n7)
    & ssA(n5,n4) != ssA(n5,n8)
    & ssA(n5,n4) != ssA(n5,n9)
    & ssA(n5,n5) != ssA(n5,n6)
    & ssA(n5,n5) != ssA(n5,n7)
    & ssA(n5,n5) != ssA(n5,n8)
    & ssA(n5,n5) != ssA(n5,n9)
    & ssA(n5,n6) != ssA(n5,n7)
    & ssA(n5,n6) != ssA(n5,n8)
    & ssA(n5,n6) != ssA(n5,n9)
    & ssA(n5,n7) != ssA(n5,n8)
    & ssA(n5,n7) != ssA(n5,n9)
    & ssA(n5,n8) != ssA(n5,n9) )).

fof(ax52,axiom,
    ( ssA(n6,n1) = n1
    | ssA(n6,n2) = n1
    | ssA(n6,n3) = n1
    | ssA(n6,n4) = n1
    | ssA(n6,n5) = n1
    | ssA(n6,n6) = n1
    | ssA(n6,n7) = n1
    | ssA(n6,n8) = n1
    | ssA(n6,n9) = n1 )).

fof(ax53,axiom,
    ( ssA(n6,n1) = n2
    | ssA(n6,n2) = n2
    | ssA(n6,n3) = n2
    | ssA(n6,n4) = n2
    | ssA(n6,n5) = n2
    | ssA(n6,n6) = n2
    | ssA(n6,n7) = n2
    | ssA(n6,n8) = n2
    | ssA(n6,n9) = n2 )).

fof(ax54,axiom,
    ( ssA(n6,n1) = n3
    | ssA(n6,n2) = n3
    | ssA(n6,n3) = n3
    | ssA(n6,n4) = n3
    | ssA(n6,n5) = n3
    | ssA(n6,n6) = n3
    | ssA(n6,n7) = n3
    | ssA(n6,n8) = n3
    | ssA(n6,n9) = n3 )).

fof(ax55,axiom,
    ( ssA(n6,n1) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n3) = n4
    | ssA(n6,n4) = n4
    | ssA(n6,n5) = n4
    | ssA(n6,n6) = n4
    | ssA(n6,n7) = n4
    | ssA(n6,n8) = n4
    | ssA(n6,n9) = n4 )).

fof(ax56,axiom,
    ( ssA(n6,n1) = n5
    | ssA(n6,n2) = n5
    | ssA(n6,n3) = n5
    | ssA(n6,n4) = n5
    | ssA(n6,n5) = n5
    | ssA(n6,n6) = n5
    | ssA(n6,n7) = n5
    | ssA(n6,n8) = n5
    | ssA(n6,n9) = n5 )).

fof(ax57,axiom,
    ( ssA(n6,n1) = n6
    | ssA(n6,n2) = n6
    | ssA(n6,n3) = n6
    | ssA(n6,n4) = n6
    | ssA(n6,n5) = n6
    | ssA(n6,n6) = n6
    | ssA(n6,n7) = n6
    | ssA(n6,n8) = n6
    | ssA(n6,n9) = n6 )).

fof(ax58,axiom,
    ( ssA(n6,n1) = n7
    | ssA(n6,n2) = n7
    | ssA(n6,n3) = n7
    | ssA(n6,n4) = n7
    | ssA(n6,n5) = n7
    | ssA(n6,n6) = n7
    | ssA(n6,n7) = n7
    | ssA(n6,n8) = n7
    | ssA(n6,n9) = n7 )).

fof(ax59,axiom,
    ( ssA(n6,n1) = n8
    | ssA(n6,n2) = n8
    | ssA(n6,n3) = n8
    | ssA(n6,n4) = n8
    | ssA(n6,n5) = n8
    | ssA(n6,n6) = n8
    | ssA(n6,n7) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n9) = n8 )).

fof(ax60,axiom,
    ( ssA(n6,n1) = n9
    | ssA(n6,n2) = n9
    | ssA(n6,n3) = n9
    | ssA(n6,n4) = n9
    | ssA(n6,n5) = n9
    | ssA(n6,n6) = n9
    | ssA(n6,n7) = n9
    | ssA(n6,n8) = n9
    | ssA(n6,n9) = n9 )).

fof(ax61,axiom,
    ( ssA(n6,n1) != ssA(n6,n2)
    & ssA(n6,n1) != ssA(n6,n3)
    & ssA(n6,n1) != ssA(n6,n4)
    & ssA(n6,n1) != ssA(n6,n5)
    & ssA(n6,n1) != ssA(n6,n6)
    & ssA(n6,n1) != ssA(n6,n7)
    & ssA(n6,n1) != ssA(n6,n8)
    & ssA(n6,n1) != ssA(n6,n9)
    & ssA(n6,n2) != ssA(n6,n3)
    & ssA(n6,n2) != ssA(n6,n4)
    & ssA(n6,n2) != ssA(n6,n5)
    & ssA(n6,n2) != ssA(n6,n6)
    & ssA(n6,n2) != ssA(n6,n7)
    & ssA(n6,n2) != ssA(n6,n8)
    & ssA(n6,n2) != ssA(n6,n9)
    & ssA(n6,n3) != ssA(n6,n4)
    & ssA(n6,n3) != ssA(n6,n5)
    & ssA(n6,n3) != ssA(n6,n6)
    & ssA(n6,n3) != ssA(n6,n7)
    & ssA(n6,n3) != ssA(n6,n8)
    & ssA(n6,n3) != ssA(n6,n9)
    & ssA(n6,n4) != ssA(n6,n5)
    & ssA(n6,n4) != ssA(n6,n6)
    & ssA(n6,n4) != ssA(n6,n7)
    & ssA(n6,n4) != ssA(n6,n8)
    & ssA(n6,n4) != ssA(n6,n9)
    & ssA(n6,n5) != ssA(n6,n6)
    & ssA(n6,n5) != ssA(n6,n7)
    & ssA(n6,n5) != ssA(n6,n8)
    & ssA(n6,n5) != ssA(n6,n9)
    & ssA(n6,n6) != ssA(n6,n7)
    & ssA(n6,n6) != ssA(n6,n8)
    & ssA(n6,n6) != ssA(n6,n9)
    & ssA(n6,n7) != ssA(n6,n8)
    & ssA(n6,n7) != ssA(n6,n9)
    & ssA(n6,n8) != ssA(n6,n9) )).

fof(ax62,axiom,
    ( ssA(n7,n1) = n1
    | ssA(n7,n2) = n1
    | ssA(n7,n3) = n1
    | ssA(n7,n4) = n1
    | ssA(n7,n5) = n1
    | ssA(n7,n6) = n1
    | ssA(n7,n7) = n1
    | ssA(n7,n8) = n1
    | ssA(n7,n9) = n1 )).

fof(ax63,axiom,
    ( ssA(n7,n1) = n2
    | ssA(n7,n2) = n2
    | ssA(n7,n3) = n2
    | ssA(n7,n4) = n2
    | ssA(n7,n5) = n2
    | ssA(n7,n6) = n2
    | ssA(n7,n7) = n2
    | ssA(n7,n8) = n2
    | ssA(n7,n9) = n2 )).

fof(ax64,axiom,
    ( ssA(n7,n1) = n3
    | ssA(n7,n2) = n3
    | ssA(n7,n3) = n3
    | ssA(n7,n4) = n3
    | ssA(n7,n5) = n3
    | ssA(n7,n6) = n3
    | ssA(n7,n7) = n3
    | ssA(n7,n8) = n3
    | ssA(n7,n9) = n3 )).

fof(ax65,axiom,
    ( ssA(n7,n1) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n3) = n4
    | ssA(n7,n4) = n4
    | ssA(n7,n5) = n4
    | ssA(n7,n6) = n4
    | ssA(n7,n7) = n4
    | ssA(n7,n8) = n4
    | ssA(n7,n9) = n4 )).

fof(ax66,axiom,
    ( ssA(n7,n1) = n5
    | ssA(n7,n2) = n5
    | ssA(n7,n3) = n5
    | ssA(n7,n4) = n5
    | ssA(n7,n5) = n5
    | ssA(n7,n6) = n5
    | ssA(n7,n7) = n5
    | ssA(n7,n8) = n5
    | ssA(n7,n9) = n5 )).

fof(ax67,axiom,
    ( ssA(n7,n1) = n6
    | ssA(n7,n2) = n6
    | ssA(n7,n3) = n6
    | ssA(n7,n4) = n6
    | ssA(n7,n5) = n6
    | ssA(n7,n6) = n6
    | ssA(n7,n7) = n6
    | ssA(n7,n8) = n6
    | ssA(n7,n9) = n6 )).

fof(ax68,axiom,
    ( ssA(n7,n1) = n7
    | ssA(n7,n2) = n7
    | ssA(n7,n3) = n7
    | ssA(n7,n4) = n7
    | ssA(n7,n5) = n7
    | ssA(n7,n6) = n7
    | ssA(n7,n7) = n7
    | ssA(n7,n8) = n7
    | ssA(n7,n9) = n7 )).

fof(ax69,axiom,
    ( ssA(n7,n1) = n8
    | ssA(n7,n2) = n8
    | ssA(n7,n3) = n8
    | ssA(n7,n4) = n8
    | ssA(n7,n5) = n8
    | ssA(n7,n6) = n8
    | ssA(n7,n7) = n8
    | ssA(n7,n8) = n8
    | ssA(n7,n9) = n8 )).

fof(ax70,axiom,
    ( ssA(n7,n1) = n9
    | ssA(n7,n2) = n9
    | ssA(n7,n3) = n9
    | ssA(n7,n4) = n9
    | ssA(n7,n5) = n9
    | ssA(n7,n6) = n9
    | ssA(n7,n7) = n9
    | ssA(n7,n8) = n9
    | ssA(n7,n9) = n9 )).

fof(ax71,axiom,
    ( ssA(n7,n1) != ssA(n7,n2)
    & ssA(n7,n1) != ssA(n7,n3)
    & ssA(n7,n1) != ssA(n7,n4)
    & ssA(n7,n1) != ssA(n7,n5)
    & ssA(n7,n1) != ssA(n7,n6)
    & ssA(n7,n1) != ssA(n7,n7)
    & ssA(n7,n1) != ssA(n7,n8)
    & ssA(n7,n1) != ssA(n7,n9)
    & ssA(n7,n2) != ssA(n7,n3)
    & ssA(n7,n2) != ssA(n7,n4)
    & ssA(n7,n2) != ssA(n7,n5)
    & ssA(n7,n2) != ssA(n7,n6)
    & ssA(n7,n2) != ssA(n7,n7)
    & ssA(n7,n2) != ssA(n7,n8)
    & ssA(n7,n2) != ssA(n7,n9)
    & ssA(n7,n3) != ssA(n7,n4)
    & ssA(n7,n3) != ssA(n7,n5)
    & ssA(n7,n3) != ssA(n7,n6)
    & ssA(n7,n3) != ssA(n7,n7)
    & ssA(n7,n3) != ssA(n7,n8)
    & ssA(n7,n3) != ssA(n7,n9)
    & ssA(n7,n4) != ssA(n7,n5)
    & ssA(n7,n4) != ssA(n7,n6)
    & ssA(n7,n4) != ssA(n7,n7)
    & ssA(n7,n4) != ssA(n7,n8)
    & ssA(n7,n4) != ssA(n7,n9)
    & ssA(n7,n5) != ssA(n7,n6)
    & ssA(n7,n5) != ssA(n7,n7)
    & ssA(n7,n5) != ssA(n7,n8)
    & ssA(n7,n5) != ssA(n7,n9)
    & ssA(n7,n6) != ssA(n7,n7)
    & ssA(n7,n6) != ssA(n7,n8)
    & ssA(n7,n6) != ssA(n7,n9)
    & ssA(n7,n7) != ssA(n7,n8)
    & ssA(n7,n7) != ssA(n7,n9)
    & ssA(n7,n8) != ssA(n7,n9) )).

fof(ax72,axiom,
    ( ssA(n8,n1) = n1
    | ssA(n8,n2) = n1
    | ssA(n8,n3) = n1
    | ssA(n8,n4) = n1
    | ssA(n8,n5) = n1
    | ssA(n8,n6) = n1
    | ssA(n8,n7) = n1
    | ssA(n8,n8) = n1
    | ssA(n8,n9) = n1 )).

fof(ax73,axiom,
    ( ssA(n8,n1) = n2
    | ssA(n8,n2) = n2
    | ssA(n8,n3) = n2
    | ssA(n8,n4) = n2
    | ssA(n8,n5) = n2
    | ssA(n8,n6) = n2
    | ssA(n8,n7) = n2
    | ssA(n8,n8) = n2
    | ssA(n8,n9) = n2 )).

fof(ax74,axiom,
    ( ssA(n8,n1) = n3
    | ssA(n8,n2) = n3
    | ssA(n8,n3) = n3
    | ssA(n8,n4) = n3
    | ssA(n8,n5) = n3
    | ssA(n8,n6) = n3
    | ssA(n8,n7) = n3
    | ssA(n8,n8) = n3
    | ssA(n8,n9) = n3 )).

fof(ax75,axiom,
    ( ssA(n8,n1) = n4
    | ssA(n8,n2) = n4
    | ssA(n8,n3) = n4
    | ssA(n8,n4) = n4
    | ssA(n8,n5) = n4
    | ssA(n8,n6) = n4
    | ssA(n8,n7) = n4
    | ssA(n8,n8) = n4
    | ssA(n8,n9) = n4 )).

fof(ax76,axiom,
    ( ssA(n8,n1) = n5
    | ssA(n8,n2) = n5
    | ssA(n8,n3) = n5
    | ssA(n8,n4) = n5
    | ssA(n8,n5) = n5
    | ssA(n8,n6) = n5
    | ssA(n8,n7) = n5
    | ssA(n8,n8) = n5
    | ssA(n8,n9) = n5 )).

fof(ax77,axiom,
    ( ssA(n8,n1) = n6
    | ssA(n8,n2) = n6
    | ssA(n8,n3) = n6
    | ssA(n8,n4) = n6
    | ssA(n8,n5) = n6
    | ssA(n8,n6) = n6
    | ssA(n8,n7) = n6
    | ssA(n8,n8) = n6
    | ssA(n8,n9) = n6 )).

fof(ax78,axiom,
    ( ssA(n8,n1) = n7
    | ssA(n8,n2) = n7
    | ssA(n8,n3) = n7
    | ssA(n8,n4) = n7
    | ssA(n8,n5) = n7
    | ssA(n8,n6) = n7
    | ssA(n8,n7) = n7
    | ssA(n8,n8) = n7
    | ssA(n8,n9) = n7 )).

fof(ax79,axiom,
    ( ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n8,n7) = n8
    | ssA(n8,n8) = n8
    | ssA(n8,n9) = n8 )).

fof(ax80,axiom,
    ( ssA(n8,n1) = n9
    | ssA(n8,n2) = n9
    | ssA(n8,n3) = n9
    | ssA(n8,n4) = n9
    | ssA(n8,n5) = n9
    | ssA(n8,n6) = n9
    | ssA(n8,n7) = n9
    | ssA(n8,n8) = n9
    | ssA(n8,n9) = n9 )).

fof(ax81,axiom,
    ( ssA(n8,n1) != ssA(n8,n2)
    & ssA(n8,n1) != ssA(n8,n3)
    & ssA(n8,n1) != ssA(n8,n4)
    & ssA(n8,n1) != ssA(n8,n5)
    & ssA(n8,n1) != ssA(n8,n6)
    & ssA(n8,n1) != ssA(n8,n7)
    & ssA(n8,n1) != ssA(n8,n8)
    & ssA(n8,n1) != ssA(n8,n9)
    & ssA(n8,n2) != ssA(n8,n3)
    & ssA(n8,n2) != ssA(n8,n4)
    & ssA(n8,n2) != ssA(n8,n5)
    & ssA(n8,n2) != ssA(n8,n6)
    & ssA(n8,n2) != ssA(n8,n7)
    & ssA(n8,n2) != ssA(n8,n8)
    & ssA(n8,n2) != ssA(n8,n9)
    & ssA(n8,n3) != ssA(n8,n4)
    & ssA(n8,n3) != ssA(n8,n5)
    & ssA(n8,n3) != ssA(n8,n6)
    & ssA(n8,n3) != ssA(n8,n7)
    & ssA(n8,n3) != ssA(n8,n8)
    & ssA(n8,n3) != ssA(n8,n9)
    & ssA(n8,n4) != ssA(n8,n5)
    & ssA(n8,n4) != ssA(n8,n6)
    & ssA(n8,n4) != ssA(n8,n7)
    & ssA(n8,n4) != ssA(n8,n8)
    & ssA(n8,n4) != ssA(n8,n9)
    & ssA(n8,n5) != ssA(n8,n6)
    & ssA(n8,n5) != ssA(n8,n7)
    & ssA(n8,n5) != ssA(n8,n8)
    & ssA(n8,n5) != ssA(n8,n9)
    & ssA(n8,n6) != ssA(n8,n7)
    & ssA(n8,n6) != ssA(n8,n8)
    & ssA(n8,n6) != ssA(n8,n9)
    & ssA(n8,n7) != ssA(n8,n8)
    & ssA(n8,n7) != ssA(n8,n9)
    & ssA(n8,n8) != ssA(n8,n9) )).

fof(ax82,axiom,
    ( ssA(n9,n1) = n1
    | ssA(n9,n2) = n1
    | ssA(n9,n3) = n1
    | ssA(n9,n4) = n1
    | ssA(n9,n5) = n1
    | ssA(n9,n6) = n1
    | ssA(n9,n7) = n1
    | ssA(n9,n8) = n1
    | ssA(n9,n9) = n1 )).

fof(ax83,axiom,
    ( ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2
    | ssA(n9,n4) = n2
    | ssA(n9,n5) = n2
    | ssA(n9,n6) = n2
    | ssA(n9,n7) = n2
    | ssA(n9,n8) = n2
    | ssA(n9,n9) = n2 )).

fof(ax84,axiom,
    ( ssA(n9,n1) = n3
    | ssA(n9,n2) = n3
    | ssA(n9,n3) = n3
    | ssA(n9,n4) = n3
    | ssA(n9,n5) = n3
    | ssA(n9,n6) = n3
    | ssA(n9,n7) = n3
    | ssA(n9,n8) = n3
    | ssA(n9,n9) = n3 )).

fof(ax85,axiom,
    ( ssA(n9,n1) = n4
    | ssA(n9,n2) = n4
    | ssA(n9,n3) = n4
    | ssA(n9,n4) = n4
    | ssA(n9,n5) = n4
    | ssA(n9,n6) = n4
    | ssA(n9,n7) = n4
    | ssA(n9,n8) = n4
    | ssA(n9,n9) = n4 )).

fof(ax86,axiom,
    ( ssA(n9,n1) = n5
    | ssA(n9,n2) = n5
    | ssA(n9,n3) = n5
    | ssA(n9,n4) = n5
    | ssA(n9,n5) = n5
    | ssA(n9,n6) = n5
    | ssA(n9,n7) = n5
    | ssA(n9,n8) = n5
    | ssA(n9,n9) = n5 )).

fof(ax87,axiom,
    ( ssA(n9,n1) = n6
    | ssA(n9,n2) = n6
    | ssA(n9,n3) = n6
    | ssA(n9,n4) = n6
    | ssA(n9,n5) = n6
    | ssA(n9,n6) = n6
    | ssA(n9,n7) = n6
    | ssA(n9,n8) = n6
    | ssA(n9,n9) = n6 )).

fof(ax88,axiom,
    ( ssA(n9,n1) = n7
    | ssA(n9,n2) = n7
    | ssA(n9,n3) = n7
    | ssA(n9,n4) = n7
    | ssA(n9,n5) = n7
    | ssA(n9,n6) = n7
    | ssA(n9,n7) = n7
    | ssA(n9,n8) = n7
    | ssA(n9,n9) = n7 )).

fof(ax89,axiom,
    ( ssA(n9,n1) = n8
    | ssA(n9,n2) = n8
    | ssA(n9,n3) = n8
    | ssA(n9,n4) = n8
    | ssA(n9,n5) = n8
    | ssA(n9,n6) = n8
    | ssA(n9,n7) = n8
    | ssA(n9,n8) = n8
    | ssA(n9,n9) = n8 )).

fof(ax90,axiom,
    ( ssA(n9,n1) = n9
    | ssA(n9,n2) = n9
    | ssA(n9,n3) = n9
    | ssA(n9,n4) = n9
    | ssA(n9,n5) = n9
    | ssA(n9,n6) = n9
    | ssA(n9,n7) = n9
    | ssA(n9,n8) = n9
    | ssA(n9,n9) = n9 )).

fof(ax91,axiom,
    ( ssA(n9,n1) != ssA(n9,n2)
    & ssA(n9,n1) != ssA(n9,n3)
    & ssA(n9,n1) != ssA(n9,n4)
    & ssA(n9,n1) != ssA(n9,n5)
    & ssA(n9,n1) != ssA(n9,n6)
    & ssA(n9,n1) != ssA(n9,n7)
    & ssA(n9,n1) != ssA(n9,n8)
    & ssA(n9,n1) != ssA(n9,n9)
    & ssA(n9,n2) != ssA(n9,n3)
    & ssA(n9,n2) != ssA(n9,n4)
    & ssA(n9,n2) != ssA(n9,n5)
    & ssA(n9,n2) != ssA(n9,n6)
    & ssA(n9,n2) != ssA(n9,n7)
    & ssA(n9,n2) != ssA(n9,n8)
    & ssA(n9,n2) != ssA(n9,n9)
    & ssA(n9,n3) != ssA(n9,n4)
    & ssA(n9,n3) != ssA(n9,n5)
    & ssA(n9,n3) != ssA(n9,n6)
    & ssA(n9,n3) != ssA(n9,n7)
    & ssA(n9,n3) != ssA(n9,n8)
    & ssA(n9,n3) != ssA(n9,n9)
    & ssA(n9,n4) != ssA(n9,n5)
    & ssA(n9,n4) != ssA(n9,n6)
    & ssA(n9,n4) != ssA(n9,n7)
    & ssA(n9,n4) != ssA(n9,n8)
    & ssA(n9,n4) != ssA(n9,n9)
    & ssA(n9,n5) != ssA(n9,n6)
    & ssA(n9,n5) != ssA(n9,n7)
    & ssA(n9,n5) != ssA(n9,n8)
    & ssA(n9,n5) != ssA(n9,n9)
    & ssA(n9,n6) != ssA(n9,n7)
    & ssA(n9,n6) != ssA(n9,n8)
    & ssA(n9,n6) != ssA(n9,n9)
    & ssA(n9,n7) != ssA(n9,n8)
    & ssA(n9,n7) != ssA(n9,n9)
    & ssA(n9,n8) != ssA(n9,n9) )).

%----column constraints
fof(ax92,axiom,
    ( ssA(n1,n1) = n1
    | ssA(n2,n1) = n1
    | ssA(n3,n1) = n1
    | ssA(n4,n1) = n1
    | ssA(n5,n1) = n1
    | ssA(n6,n1) = n1
    | ssA(n7,n1) = n1
    | ssA(n8,n1) = n1
    | ssA(n9,n1) = n1 )).

fof(ax93,axiom,
    ( ssA(n1,n1) = n2
    | ssA(n2,n1) = n2
    | ssA(n3,n1) = n2
    | ssA(n4,n1) = n2
    | ssA(n5,n1) = n2
    | ssA(n6,n1) = n2
    | ssA(n7,n1) = n2
    | ssA(n8,n1) = n2
    | ssA(n9,n1) = n2 )).

fof(ax94,axiom,
    ( ssA(n1,n1) = n3
    | ssA(n2,n1) = n3
    | ssA(n3,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n5,n1) = n3
    | ssA(n6,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n9,n1) = n3 )).

fof(ax95,axiom,
    ( ssA(n1,n1) = n4
    | ssA(n2,n1) = n4
    | ssA(n3,n1) = n4
    | ssA(n4,n1) = n4
    | ssA(n5,n1) = n4
    | ssA(n6,n1) = n4
    | ssA(n7,n1) = n4
    | ssA(n8,n1) = n4
    | ssA(n9,n1) = n4 )).

fof(ax96,axiom,
    ( ssA(n1,n1) = n5
    | ssA(n2,n1) = n5
    | ssA(n3,n1) = n5
    | ssA(n4,n1) = n5
    | ssA(n5,n1) = n5
    | ssA(n6,n1) = n5
    | ssA(n7,n1) = n5
    | ssA(n8,n1) = n5
    | ssA(n9,n1) = n5 )).

fof(ax97,axiom,
    ( ssA(n1,n1) = n6
    | ssA(n2,n1) = n6
    | ssA(n3,n1) = n6
    | ssA(n4,n1) = n6
    | ssA(n5,n1) = n6
    | ssA(n6,n1) = n6
    | ssA(n7,n1) = n6
    | ssA(n8,n1) = n6
    | ssA(n9,n1) = n6 )).

fof(ax98,axiom,
    ( ssA(n1,n1) = n7
    | ssA(n2,n1) = n7
    | ssA(n3,n1) = n7
    | ssA(n4,n1) = n7
    | ssA(n5,n1) = n7
    | ssA(n6,n1) = n7
    | ssA(n7,n1) = n7
    | ssA(n8,n1) = n7
    | ssA(n9,n1) = n7 )).

fof(ax99,axiom,
    ( ssA(n1,n1) = n8
    | ssA(n2,n1) = n8
    | ssA(n3,n1) = n8
    | ssA(n4,n1) = n8
    | ssA(n5,n1) = n8
    | ssA(n6,n1) = n8
    | ssA(n7,n1) = n8
    | ssA(n8,n1) = n8
    | ssA(n9,n1) = n8 )).

fof(ax100,axiom,
    ( ssA(n1,n1) = n9
    | ssA(n2,n1) = n9
    | ssA(n3,n1) = n9
    | ssA(n4,n1) = n9
    | ssA(n5,n1) = n9
    | ssA(n6,n1) = n9
    | ssA(n7,n1) = n9
    | ssA(n8,n1) = n9
    | ssA(n9,n1) = n9 )).

fof(ax101,axiom,
    ( ssA(n1,n1) != ssA(n2,n1)
    & ssA(n1,n1) != ssA(n3,n1)
    & ssA(n1,n1) != ssA(n4,n1)
    & ssA(n1,n1) != ssA(n5,n1)
    & ssA(n1,n1) != ssA(n6,n1)
    & ssA(n1,n1) != ssA(n7,n1)
    & ssA(n1,n1) != ssA(n8,n1)
    & ssA(n1,n1) != ssA(n9,n1)
    & ssA(n2,n1) != ssA(n3,n1)
    & ssA(n2,n1) != ssA(n4,n1)
    & ssA(n2,n1) != ssA(n5,n1)
    & ssA(n2,n1) != ssA(n6,n1)
    & ssA(n2,n1) != ssA(n7,n1)
    & ssA(n2,n1) != ssA(n8,n1)
    & ssA(n2,n1) != ssA(n9,n1)
    & ssA(n3,n1) != ssA(n4,n1)
    & ssA(n3,n1) != ssA(n5,n1)
    & ssA(n3,n1) != ssA(n6,n1)
    & ssA(n3,n1) != ssA(n7,n1)
    & ssA(n3,n1) != ssA(n8,n1)
    & ssA(n3,n1) != ssA(n9,n1)
    & ssA(n4,n1) != ssA(n5,n1)
    & ssA(n4,n1) != ssA(n6,n1)
    & ssA(n4,n1) != ssA(n7,n1)
    & ssA(n4,n1) != ssA(n8,n1)
    & ssA(n4,n1) != ssA(n9,n1)
    & ssA(n5,n1) != ssA(n6,n1)
    & ssA(n5,n1) != ssA(n7,n1)
    & ssA(n5,n1) != ssA(n8,n1)
    & ssA(n5,n1) != ssA(n9,n1)
    & ssA(n6,n1) != ssA(n7,n1)
    & ssA(n6,n1) != ssA(n8,n1)
    & ssA(n6,n1) != ssA(n9,n1)
    & ssA(n7,n1) != ssA(n8,n1)
    & ssA(n7,n1) != ssA(n9,n1)
    & ssA(n8,n1) != ssA(n9,n1) )).

fof(ax102,axiom,
    ( ssA(n1,n2) = n1
    | ssA(n2,n2) = n1
    | ssA(n3,n2) = n1
    | ssA(n4,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n7,n2) = n1
    | ssA(n8,n2) = n1
    | ssA(n9,n2) = n1 )).

fof(ax103,axiom,
    ( ssA(n1,n2) = n2
    | ssA(n2,n2) = n2
    | ssA(n3,n2) = n2
    | ssA(n4,n2) = n2
    | ssA(n5,n2) = n2
    | ssA(n6,n2) = n2
    | ssA(n7,n2) = n2
    | ssA(n8,n2) = n2
    | ssA(n9,n2) = n2 )).

fof(ax104,axiom,
    ( ssA(n1,n2) = n3
    | ssA(n2,n2) = n3
    | ssA(n3,n2) = n3
    | ssA(n4,n2) = n3
    | ssA(n5,n2) = n3
    | ssA(n6,n2) = n3
    | ssA(n7,n2) = n3
    | ssA(n8,n2) = n3
    | ssA(n9,n2) = n3 )).

fof(ax105,axiom,
    ( ssA(n1,n2) = n4
    | ssA(n2,n2) = n4
    | ssA(n3,n2) = n4
    | ssA(n4,n2) = n4
    | ssA(n5,n2) = n4
    | ssA(n6,n2) = n4
    | ssA(n7,n2) = n4
    | ssA(n8,n2) = n4
    | ssA(n9,n2) = n4 )).

fof(ax106,axiom,
    ( ssA(n1,n2) = n5
    | ssA(n2,n2) = n5
    | ssA(n3,n2) = n5
    | ssA(n4,n2) = n5
    | ssA(n5,n2) = n5
    | ssA(n6,n2) = n5
    | ssA(n7,n2) = n5
    | ssA(n8,n2) = n5
    | ssA(n9,n2) = n5 )).

fof(ax107,axiom,
    ( ssA(n1,n2) = n6
    | ssA(n2,n2) = n6
    | ssA(n3,n2) = n6
    | ssA(n4,n2) = n6
    | ssA(n5,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n7,n2) = n6
    | ssA(n8,n2) = n6
    | ssA(n9,n2) = n6 )).

fof(ax108,axiom,
    ( ssA(n1,n2) = n7
    | ssA(n2,n2) = n7
    | ssA(n3,n2) = n7
    | ssA(n4,n2) = n7
    | ssA(n5,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n7,n2) = n7
    | ssA(n8,n2) = n7
    | ssA(n9,n2) = n7 )).

fof(ax109,axiom,
    ( ssA(n1,n2) = n8
    | ssA(n2,n2) = n8
    | ssA(n3,n2) = n8
    | ssA(n4,n2) = n8
    | ssA(n5,n2) = n8
    | ssA(n6,n2) = n8
    | ssA(n7,n2) = n8
    | ssA(n8,n2) = n8
    | ssA(n9,n2) = n8 )).

fof(ax110,axiom,
    ( ssA(n1,n2) = n9
    | ssA(n2,n2) = n9
    | ssA(n3,n2) = n9
    | ssA(n4,n2) = n9
    | ssA(n5,n2) = n9
    | ssA(n6,n2) = n9
    | ssA(n7,n2) = n9
    | ssA(n8,n2) = n9
    | ssA(n9,n2) = n9 )).

fof(ax111,axiom,
    ( ssA(n1,n2) != ssA(n2,n2)
    & ssA(n1,n2) != ssA(n3,n2)
    & ssA(n1,n2) != ssA(n4,n2)
    & ssA(n1,n2) != ssA(n5,n2)
    & ssA(n1,n2) != ssA(n6,n2)
    & ssA(n1,n2) != ssA(n7,n2)
    & ssA(n1,n2) != ssA(n8,n2)
    & ssA(n1,n2) != ssA(n9,n2)
    & ssA(n2,n2) != ssA(n3,n2)
    & ssA(n2,n2) != ssA(n4,n2)
    & ssA(n2,n2) != ssA(n5,n2)
    & ssA(n2,n2) != ssA(n6,n2)
    & ssA(n2,n2) != ssA(n7,n2)
    & ssA(n2,n2) != ssA(n8,n2)
    & ssA(n2,n2) != ssA(n9,n2)
    & ssA(n3,n2) != ssA(n4,n2)
    & ssA(n3,n2) != ssA(n5,n2)
    & ssA(n3,n2) != ssA(n6,n2)
    & ssA(n3,n2) != ssA(n7,n2)
    & ssA(n3,n2) != ssA(n8,n2)
    & ssA(n3,n2) != ssA(n9,n2)
    & ssA(n4,n2) != ssA(n5,n2)
    & ssA(n4,n2) != ssA(n6,n2)
    & ssA(n4,n2) != ssA(n7,n2)
    & ssA(n4,n2) != ssA(n8,n2)
    & ssA(n4,n2) != ssA(n9,n2)
    & ssA(n5,n2) != ssA(n6,n2)
    & ssA(n5,n2) != ssA(n7,n2)
    & ssA(n5,n2) != ssA(n8,n2)
    & ssA(n5,n2) != ssA(n9,n2)
    & ssA(n6,n2) != ssA(n7,n2)
    & ssA(n6,n2) != ssA(n8,n2)
    & ssA(n6,n2) != ssA(n9,n2)
    & ssA(n7,n2) != ssA(n8,n2)
    & ssA(n7,n2) != ssA(n9,n2)
    & ssA(n8,n2) != ssA(n9,n2) )).

fof(ax112,axiom,
    ( ssA(n1,n3) = n1
    | ssA(n2,n3) = n1
    | ssA(n3,n3) = n1
    | ssA(n4,n3) = n1
    | ssA(n5,n3) = n1
    | ssA(n6,n3) = n1
    | ssA(n7,n3) = n1
    | ssA(n8,n3) = n1
    | ssA(n9,n3) = n1 )).

fof(ax113,axiom,
    ( ssA(n1,n3) = n2
    | ssA(n2,n3) = n2
    | ssA(n3,n3) = n2
    | ssA(n4,n3) = n2
    | ssA(n5,n3) = n2
    | ssA(n6,n3) = n2
    | ssA(n7,n3) = n2
    | ssA(n8,n3) = n2
    | ssA(n9,n3) = n2 )).

fof(ax114,axiom,
    ( ssA(n1,n3) = n3
    | ssA(n2,n3) = n3
    | ssA(n3,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n6,n3) = n3
    | ssA(n7,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n9,n3) = n3 )).

fof(ax115,axiom,
    ( ssA(n1,n3) = n4
    | ssA(n2,n3) = n4
    | ssA(n3,n3) = n4
    | ssA(n4,n3) = n4
    | ssA(n5,n3) = n4
    | ssA(n6,n3) = n4
    | ssA(n7,n3) = n4
    | ssA(n8,n3) = n4
    | ssA(n9,n3) = n4 )).

fof(ax116,axiom,
    ( ssA(n1,n3) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n3) = n5
    | ssA(n4,n3) = n5
    | ssA(n5,n3) = n5
    | ssA(n6,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n9,n3) = n5 )).

fof(ax117,axiom,
    ( ssA(n1,n3) = n6
    | ssA(n2,n3) = n6
    | ssA(n3,n3) = n6
    | ssA(n4,n3) = n6
    | ssA(n5,n3) = n6
    | ssA(n6,n3) = n6
    | ssA(n7,n3) = n6
    | ssA(n8,n3) = n6
    | ssA(n9,n3) = n6 )).

fof(ax118,axiom,
    ( ssA(n1,n3) = n7
    | ssA(n2,n3) = n7
    | ssA(n3,n3) = n7
    | ssA(n4,n3) = n7
    | ssA(n5,n3) = n7
    | ssA(n6,n3) = n7
    | ssA(n7,n3) = n7
    | ssA(n8,n3) = n7
    | ssA(n9,n3) = n7 )).

fof(ax119,axiom,
    ( ssA(n1,n3) = n8
    | ssA(n2,n3) = n8
    | ssA(n3,n3) = n8
    | ssA(n4,n3) = n8
    | ssA(n5,n3) = n8
    | ssA(n6,n3) = n8
    | ssA(n7,n3) = n8
    | ssA(n8,n3) = n8
    | ssA(n9,n3) = n8 )).

fof(ax120,axiom,
    ( ssA(n1,n3) = n9
    | ssA(n2,n3) = n9
    | ssA(n3,n3) = n9
    | ssA(n4,n3) = n9
    | ssA(n5,n3) = n9
    | ssA(n6,n3) = n9
    | ssA(n7,n3) = n9
    | ssA(n8,n3) = n9
    | ssA(n9,n3) = n9 )).

fof(ax121,axiom,
    ( ssA(n1,n3) != ssA(n2,n3)
    & ssA(n1,n3) != ssA(n3,n3)
    & ssA(n1,n3) != ssA(n4,n3)
    & ssA(n1,n3) != ssA(n5,n3)
    & ssA(n1,n3) != ssA(n6,n3)
    & ssA(n1,n3) != ssA(n7,n3)
    & ssA(n1,n3) != ssA(n8,n3)
    & ssA(n1,n3) != ssA(n9,n3)
    & ssA(n2,n3) != ssA(n3,n3)
    & ssA(n2,n3) != ssA(n4,n3)
    & ssA(n2,n3) != ssA(n5,n3)
    & ssA(n2,n3) != ssA(n6,n3)
    & ssA(n2,n3) != ssA(n7,n3)
    & ssA(n2,n3) != ssA(n8,n3)
    & ssA(n2,n3) != ssA(n9,n3)
    & ssA(n3,n3) != ssA(n4,n3)
    & ssA(n3,n3) != ssA(n5,n3)
    & ssA(n3,n3) != ssA(n6,n3)
    & ssA(n3,n3) != ssA(n7,n3)
    & ssA(n3,n3) != ssA(n8,n3)
    & ssA(n3,n3) != ssA(n9,n3)
    & ssA(n4,n3) != ssA(n5,n3)
    & ssA(n4,n3) != ssA(n6,n3)
    & ssA(n4,n3) != ssA(n7,n3)
    & ssA(n4,n3) != ssA(n8,n3)
    & ssA(n4,n3) != ssA(n9,n3)
    & ssA(n5,n3) != ssA(n6,n3)
    & ssA(n5,n3) != ssA(n7,n3)
    & ssA(n5,n3) != ssA(n8,n3)
    & ssA(n5,n3) != ssA(n9,n3)
    & ssA(n6,n3) != ssA(n7,n3)
    & ssA(n6,n3) != ssA(n8,n3)
    & ssA(n6,n3) != ssA(n9,n3)
    & ssA(n7,n3) != ssA(n8,n3)
    & ssA(n7,n3) != ssA(n9,n3)
    & ssA(n8,n3) != ssA(n9,n3) )).

fof(ax122,axiom,
    ( ssA(n1,n4) = n1
    | ssA(n2,n4) = n1
    | ssA(n3,n4) = n1
    | ssA(n4,n4) = n1
    | ssA(n5,n4) = n1
    | ssA(n6,n4) = n1
    | ssA(n7,n4) = n1
    | ssA(n8,n4) = n1
    | ssA(n9,n4) = n1 )).

fof(ax123,axiom,
    ( ssA(n1,n4) = n2
    | ssA(n2,n4) = n2
    | ssA(n3,n4) = n2
    | ssA(n4,n4) = n2
    | ssA(n5,n4) = n2
    | ssA(n6,n4) = n2
    | ssA(n7,n4) = n2
    | ssA(n8,n4) = n2
    | ssA(n9,n4) = n2 )).

fof(ax124,axiom,
    ( ssA(n1,n4) = n3
    | ssA(n2,n4) = n3
    | ssA(n3,n4) = n3
    | ssA(n4,n4) = n3
    | ssA(n5,n4) = n3
    | ssA(n6,n4) = n3
    | ssA(n7,n4) = n3
    | ssA(n8,n4) = n3
    | ssA(n9,n4) = n3 )).

fof(ax125,axiom,
    ( ssA(n1,n4) = n4
    | ssA(n2,n4) = n4
    | ssA(n3,n4) = n4
    | ssA(n4,n4) = n4
    | ssA(n5,n4) = n4
    | ssA(n6,n4) = n4
    | ssA(n7,n4) = n4
    | ssA(n8,n4) = n4
    | ssA(n9,n4) = n4 )).

fof(ax126,axiom,
    ( ssA(n1,n4) = n5
    | ssA(n2,n4) = n5
    | ssA(n3,n4) = n5
    | ssA(n4,n4) = n5
    | ssA(n5,n4) = n5
    | ssA(n6,n4) = n5
    | ssA(n7,n4) = n5
    | ssA(n8,n4) = n5
    | ssA(n9,n4) = n5 )).

fof(ax127,axiom,
    ( ssA(n1,n4) = n6
    | ssA(n2,n4) = n6
    | ssA(n3,n4) = n6
    | ssA(n4,n4) = n6
    | ssA(n5,n4) = n6
    | ssA(n6,n4) = n6
    | ssA(n7,n4) = n6
    | ssA(n8,n4) = n6
    | ssA(n9,n4) = n6 )).

fof(ax128,axiom,
    ( ssA(n1,n4) = n7
    | ssA(n2,n4) = n7
    | ssA(n3,n4) = n7
    | ssA(n4,n4) = n7
    | ssA(n5,n4) = n7
    | ssA(n6,n4) = n7
    | ssA(n7,n4) = n7
    | ssA(n8,n4) = n7
    | ssA(n9,n4) = n7 )).

fof(ax129,axiom,
    ( ssA(n1,n4) = n8
    | ssA(n2,n4) = n8
    | ssA(n3,n4) = n8
    | ssA(n4,n4) = n8
    | ssA(n5,n4) = n8
    | ssA(n6,n4) = n8
    | ssA(n7,n4) = n8
    | ssA(n8,n4) = n8
    | ssA(n9,n4) = n8 )).

fof(ax130,axiom,
    ( ssA(n1,n4) = n9
    | ssA(n2,n4) = n9
    | ssA(n3,n4) = n9
    | ssA(n4,n4) = n9
    | ssA(n5,n4) = n9
    | ssA(n6,n4) = n9
    | ssA(n7,n4) = n9
    | ssA(n8,n4) = n9
    | ssA(n9,n4) = n9 )).

fof(ax131,axiom,
    ( ssA(n1,n4) != ssA(n2,n4)
    & ssA(n1,n4) != ssA(n3,n4)
    & ssA(n1,n4) != ssA(n4,n4)
    & ssA(n1,n4) != ssA(n5,n4)
    & ssA(n1,n4) != ssA(n6,n4)
    & ssA(n1,n4) != ssA(n7,n4)
    & ssA(n1,n4) != ssA(n8,n4)
    & ssA(n1,n4) != ssA(n9,n4)
    & ssA(n2,n4) != ssA(n3,n4)
    & ssA(n2,n4) != ssA(n4,n4)
    & ssA(n2,n4) != ssA(n5,n4)
    & ssA(n2,n4) != ssA(n6,n4)
    & ssA(n2,n4) != ssA(n7,n4)
    & ssA(n2,n4) != ssA(n8,n4)
    & ssA(n2,n4) != ssA(n9,n4)
    & ssA(n3,n4) != ssA(n4,n4)
    & ssA(n3,n4) != ssA(n5,n4)
    & ssA(n3,n4) != ssA(n6,n4)
    & ssA(n3,n4) != ssA(n7,n4)
    & ssA(n3,n4) != ssA(n8,n4)
    & ssA(n3,n4) != ssA(n9,n4)
    & ssA(n4,n4) != ssA(n5,n4)
    & ssA(n4,n4) != ssA(n6,n4)
    & ssA(n4,n4) != ssA(n7,n4)
    & ssA(n4,n4) != ssA(n8,n4)
    & ssA(n4,n4) != ssA(n9,n4)
    & ssA(n5,n4) != ssA(n6,n4)
    & ssA(n5,n4) != ssA(n7,n4)
    & ssA(n5,n4) != ssA(n8,n4)
    & ssA(n5,n4) != ssA(n9,n4)
    & ssA(n6,n4) != ssA(n7,n4)
    & ssA(n6,n4) != ssA(n8,n4)
    & ssA(n6,n4) != ssA(n9,n4)
    & ssA(n7,n4) != ssA(n8,n4)
    & ssA(n7,n4) != ssA(n9,n4)
    & ssA(n8,n4) != ssA(n9,n4) )).

fof(ax132,axiom,
    ( ssA(n1,n5) = n1
    | ssA(n2,n5) = n1
    | ssA(n3,n5) = n1
    | ssA(n4,n5) = n1
    | ssA(n5,n5) = n1
    | ssA(n6,n5) = n1
    | ssA(n7,n5) = n1
    | ssA(n8,n5) = n1
    | ssA(n9,n5) = n1 )).

fof(ax133,axiom,
    ( ssA(n1,n5) = n2
    | ssA(n2,n5) = n2
    | ssA(n3,n5) = n2
    | ssA(n4,n5) = n2
    | ssA(n5,n5) = n2
    | ssA(n6,n5) = n2
    | ssA(n7,n5) = n2
    | ssA(n8,n5) = n2
    | ssA(n9,n5) = n2 )).

fof(ax134,axiom,
    ( ssA(n1,n5) = n3
    | ssA(n2,n5) = n3
    | ssA(n3,n5) = n3
    | ssA(n4,n5) = n3
    | ssA(n5,n5) = n3
    | ssA(n6,n5) = n3
    | ssA(n7,n5) = n3
    | ssA(n8,n5) = n3
    | ssA(n9,n5) = n3 )).

fof(ax135,axiom,
    ( ssA(n1,n5) = n4
    | ssA(n2,n5) = n4
    | ssA(n3,n5) = n4
    | ssA(n4,n5) = n4
    | ssA(n5,n5) = n4
    | ssA(n6,n5) = n4
    | ssA(n7,n5) = n4
    | ssA(n8,n5) = n4
    | ssA(n9,n5) = n4 )).

fof(ax136,axiom,
    ( ssA(n1,n5) = n5
    | ssA(n2,n5) = n5
    | ssA(n3,n5) = n5
    | ssA(n4,n5) = n5
    | ssA(n5,n5) = n5
    | ssA(n6,n5) = n5
    | ssA(n7,n5) = n5
    | ssA(n8,n5) = n5
    | ssA(n9,n5) = n5 )).

fof(ax137,axiom,
    ( ssA(n1,n5) = n6
    | ssA(n2,n5) = n6
    | ssA(n3,n5) = n6
    | ssA(n4,n5) = n6
    | ssA(n5,n5) = n6
    | ssA(n6,n5) = n6
    | ssA(n7,n5) = n6
    | ssA(n8,n5) = n6
    | ssA(n9,n5) = n6 )).

fof(ax138,axiom,
    ( ssA(n1,n5) = n7
    | ssA(n2,n5) = n7
    | ssA(n3,n5) = n7
    | ssA(n4,n5) = n7
    | ssA(n5,n5) = n7
    | ssA(n6,n5) = n7
    | ssA(n7,n5) = n7
    | ssA(n8,n5) = n7
    | ssA(n9,n5) = n7 )).

fof(ax139,axiom,
    ( ssA(n1,n5) = n8
    | ssA(n2,n5) = n8
    | ssA(n3,n5) = n8
    | ssA(n4,n5) = n8
    | ssA(n5,n5) = n8
    | ssA(n6,n5) = n8
    | ssA(n7,n5) = n8
    | ssA(n8,n5) = n8
    | ssA(n9,n5) = n8 )).

fof(ax140,axiom,
    ( ssA(n1,n5) = n9
    | ssA(n2,n5) = n9
    | ssA(n3,n5) = n9
    | ssA(n4,n5) = n9
    | ssA(n5,n5) = n9
    | ssA(n6,n5) = n9
    | ssA(n7,n5) = n9
    | ssA(n8,n5) = n9
    | ssA(n9,n5) = n9 )).

fof(ax141,axiom,
    ( ssA(n1,n5) != ssA(n2,n5)
    & ssA(n1,n5) != ssA(n3,n5)
    & ssA(n1,n5) != ssA(n4,n5)
    & ssA(n1,n5) != ssA(n5,n5)
    & ssA(n1,n5) != ssA(n6,n5)
    & ssA(n1,n5) != ssA(n7,n5)
    & ssA(n1,n5) != ssA(n8,n5)
    & ssA(n1,n5) != ssA(n9,n5)
    & ssA(n2,n5) != ssA(n3,n5)
    & ssA(n2,n5) != ssA(n4,n5)
    & ssA(n2,n5) != ssA(n5,n5)
    & ssA(n2,n5) != ssA(n6,n5)
    & ssA(n2,n5) != ssA(n7,n5)
    & ssA(n2,n5) != ssA(n8,n5)
    & ssA(n2,n5) != ssA(n9,n5)
    & ssA(n3,n5) != ssA(n4,n5)
    & ssA(n3,n5) != ssA(n5,n5)
    & ssA(n3,n5) != ssA(n6,n5)
    & ssA(n3,n5) != ssA(n7,n5)
    & ssA(n3,n5) != ssA(n8,n5)
    & ssA(n3,n5) != ssA(n9,n5)
    & ssA(n4,n5) != ssA(n5,n5)
    & ssA(n4,n5) != ssA(n6,n5)
    & ssA(n4,n5) != ssA(n7,n5)
    & ssA(n4,n5) != ssA(n8,n5)
    & ssA(n4,n5) != ssA(n9,n5)
    & ssA(n5,n5) != ssA(n6,n5)
    & ssA(n5,n5) != ssA(n7,n5)
    & ssA(n5,n5) != ssA(n8,n5)
    & ssA(n5,n5) != ssA(n9,n5)
    & ssA(n6,n5) != ssA(n7,n5)
    & ssA(n6,n5) != ssA(n8,n5)
    & ssA(n6,n5) != ssA(n9,n5)
    & ssA(n7,n5) != ssA(n8,n5)
    & ssA(n7,n5) != ssA(n9,n5)
    & ssA(n8,n5) != ssA(n9,n5) )).

fof(ax142,axiom,
    ( ssA(n1,n6) = n1
    | ssA(n2,n6) = n1
    | ssA(n3,n6) = n1
    | ssA(n4,n6) = n1
    | ssA(n5,n6) = n1
    | ssA(n6,n6) = n1
    | ssA(n7,n6) = n1
    | ssA(n8,n6) = n1
    | ssA(n9,n6) = n1 )).

fof(ax143,axiom,
    ( ssA(n1,n6) = n2
    | ssA(n2,n6) = n2
    | ssA(n3,n6) = n2
    | ssA(n4,n6) = n2
    | ssA(n5,n6) = n2
    | ssA(n6,n6) = n2
    | ssA(n7,n6) = n2
    | ssA(n8,n6) = n2
    | ssA(n9,n6) = n2 )).

fof(ax144,axiom,
    ( ssA(n1,n6) = n3
    | ssA(n2,n6) = n3
    | ssA(n3,n6) = n3
    | ssA(n4,n6) = n3
    | ssA(n5,n6) = n3
    | ssA(n6,n6) = n3
    | ssA(n7,n6) = n3
    | ssA(n8,n6) = n3
    | ssA(n9,n6) = n3 )).

fof(ax145,axiom,
    ( ssA(n1,n6) = n4
    | ssA(n2,n6) = n4
    | ssA(n3,n6) = n4
    | ssA(n4,n6) = n4
    | ssA(n5,n6) = n4
    | ssA(n6,n6) = n4
    | ssA(n7,n6) = n4
    | ssA(n8,n6) = n4
    | ssA(n9,n6) = n4 )).

fof(ax146,axiom,
    ( ssA(n1,n6) = n5
    | ssA(n2,n6) = n5
    | ssA(n3,n6) = n5
    | ssA(n4,n6) = n5
    | ssA(n5,n6) = n5
    | ssA(n6,n6) = n5
    | ssA(n7,n6) = n5
    | ssA(n8,n6) = n5
    | ssA(n9,n6) = n5 )).

fof(ax147,axiom,
    ( ssA(n1,n6) = n6
    | ssA(n2,n6) = n6
    | ssA(n3,n6) = n6
    | ssA(n4,n6) = n6
    | ssA(n5,n6) = n6
    | ssA(n6,n6) = n6
    | ssA(n7,n6) = n6
    | ssA(n8,n6) = n6
    | ssA(n9,n6) = n6 )).

fof(ax148,axiom,
    ( ssA(n1,n6) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n6) = n7
    | ssA(n4,n6) = n7
    | ssA(n5,n6) = n7
    | ssA(n6,n6) = n7
    | ssA(n7,n6) = n7
    | ssA(n8,n6) = n7
    | ssA(n9,n6) = n7 )).

fof(ax149,axiom,
    ( ssA(n1,n6) = n8
    | ssA(n2,n6) = n8
    | ssA(n3,n6) = n8
    | ssA(n4,n6) = n8
    | ssA(n5,n6) = n8
    | ssA(n6,n6) = n8
    | ssA(n7,n6) = n8
    | ssA(n8,n6) = n8
    | ssA(n9,n6) = n8 )).

fof(ax150,axiom,
    ( ssA(n1,n6) = n9
    | ssA(n2,n6) = n9
    | ssA(n3,n6) = n9
    | ssA(n4,n6) = n9
    | ssA(n5,n6) = n9
    | ssA(n6,n6) = n9
    | ssA(n7,n6) = n9
    | ssA(n8,n6) = n9
    | ssA(n9,n6) = n9 )).

fof(ax151,axiom,
    ( ssA(n1,n6) != ssA(n2,n6)
    & ssA(n1,n6) != ssA(n3,n6)
    & ssA(n1,n6) != ssA(n4,n6)
    & ssA(n1,n6) != ssA(n5,n6)
    & ssA(n1,n6) != ssA(n6,n6)
    & ssA(n1,n6) != ssA(n7,n6)
    & ssA(n1,n6) != ssA(n8,n6)
    & ssA(n1,n6) != ssA(n9,n6)
    & ssA(n2,n6) != ssA(n3,n6)
    & ssA(n2,n6) != ssA(n4,n6)
    & ssA(n2,n6) != ssA(n5,n6)
    & ssA(n2,n6) != ssA(n6,n6)
    & ssA(n2,n6) != ssA(n7,n6)
    & ssA(n2,n6) != ssA(n8,n6)
    & ssA(n2,n6) != ssA(n9,n6)
    & ssA(n3,n6) != ssA(n4,n6)
    & ssA(n3,n6) != ssA(n5,n6)
    & ssA(n3,n6) != ssA(n6,n6)
    & ssA(n3,n6) != ssA(n7,n6)
    & ssA(n3,n6) != ssA(n8,n6)
    & ssA(n3,n6) != ssA(n9,n6)
    & ssA(n4,n6) != ssA(n5,n6)
    & ssA(n4,n6) != ssA(n6,n6)
    & ssA(n4,n6) != ssA(n7,n6)
    & ssA(n4,n6) != ssA(n8,n6)
    & ssA(n4,n6) != ssA(n9,n6)
    & ssA(n5,n6) != ssA(n6,n6)
    & ssA(n5,n6) != ssA(n7,n6)
    & ssA(n5,n6) != ssA(n8,n6)
    & ssA(n5,n6) != ssA(n9,n6)
    & ssA(n6,n6) != ssA(n7,n6)
    & ssA(n6,n6) != ssA(n8,n6)
    & ssA(n6,n6) != ssA(n9,n6)
    & ssA(n7,n6) != ssA(n8,n6)
    & ssA(n7,n6) != ssA(n9,n6)
    & ssA(n8,n6) != ssA(n9,n6) )).

fof(ax152,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n2,n7) = n1
    | ssA(n3,n7) = n1
    | ssA(n4,n7) = n1
    | ssA(n5,n7) = n1
    | ssA(n6,n7) = n1
    | ssA(n7,n7) = n1
    | ssA(n8,n7) = n1
    | ssA(n9,n7) = n1 )).

fof(ax153,axiom,
    ( ssA(n1,n7) = n2
    | ssA(n2,n7) = n2
    | ssA(n3,n7) = n2
    | ssA(n4,n7) = n2
    | ssA(n5,n7) = n2
    | ssA(n6,n7) = n2
    | ssA(n7,n7) = n2
    | ssA(n8,n7) = n2
    | ssA(n9,n7) = n2 )).

fof(ax154,axiom,
    ( ssA(n1,n7) = n3
    | ssA(n2,n7) = n3
    | ssA(n3,n7) = n3
    | ssA(n4,n7) = n3
    | ssA(n5,n7) = n3
    | ssA(n6,n7) = n3
    | ssA(n7,n7) = n3
    | ssA(n8,n7) = n3
    | ssA(n9,n7) = n3 )).

fof(ax155,axiom,
    ( ssA(n1,n7) = n4
    | ssA(n2,n7) = n4
    | ssA(n3,n7) = n4
    | ssA(n4,n7) = n4
    | ssA(n5,n7) = n4
    | ssA(n6,n7) = n4
    | ssA(n7,n7) = n4
    | ssA(n8,n7) = n4
    | ssA(n9,n7) = n4 )).

fof(ax156,axiom,
    ( ssA(n1,n7) = n5
    | ssA(n2,n7) = n5
    | ssA(n3,n7) = n5
    | ssA(n4,n7) = n5
    | ssA(n5,n7) = n5
    | ssA(n6,n7) = n5
    | ssA(n7,n7) = n5
    | ssA(n8,n7) = n5
    | ssA(n9,n7) = n5 )).

fof(ax157,axiom,
    ( ssA(n1,n7) = n6
    | ssA(n2,n7) = n6
    | ssA(n3,n7) = n6
    | ssA(n4,n7) = n6
    | ssA(n5,n7) = n6
    | ssA(n6,n7) = n6
    | ssA(n7,n7) = n6
    | ssA(n8,n7) = n6
    | ssA(n9,n7) = n6 )).

fof(ax158,axiom,
    ( ssA(n1,n7) = n7
    | ssA(n2,n7) = n7
    | ssA(n3,n7) = n7
    | ssA(n4,n7) = n7
    | ssA(n5,n7) = n7
    | ssA(n6,n7) = n7
    | ssA(n7,n7) = n7
    | ssA(n8,n7) = n7
    | ssA(n9,n7) = n7 )).

fof(ax159,axiom,
    ( ssA(n1,n7) = n8
    | ssA(n2,n7) = n8
    | ssA(n3,n7) = n8
    | ssA(n4,n7) = n8
    | ssA(n5,n7) = n8
    | ssA(n6,n7) = n8
    | ssA(n7,n7) = n8
    | ssA(n8,n7) = n8
    | ssA(n9,n7) = n8 )).

fof(ax160,axiom,
    ( ssA(n1,n7) = n9
    | ssA(n2,n7) = n9
    | ssA(n3,n7) = n9
    | ssA(n4,n7) = n9
    | ssA(n5,n7) = n9
    | ssA(n6,n7) = n9
    | ssA(n7,n7) = n9
    | ssA(n8,n7) = n9
    | ssA(n9,n7) = n9 )).

fof(ax161,axiom,
    ( ssA(n1,n7) != ssA(n2,n7)
    & ssA(n1,n7) != ssA(n3,n7)
    & ssA(n1,n7) != ssA(n4,n7)
    & ssA(n1,n7) != ssA(n5,n7)
    & ssA(n1,n7) != ssA(n6,n7)
    & ssA(n1,n7) != ssA(n7,n7)
    & ssA(n1,n7) != ssA(n8,n7)
    & ssA(n1,n7) != ssA(n9,n7)
    & ssA(n2,n7) != ssA(n3,n7)
    & ssA(n2,n7) != ssA(n4,n7)
    & ssA(n2,n7) != ssA(n5,n7)
    & ssA(n2,n7) != ssA(n6,n7)
    & ssA(n2,n7) != ssA(n7,n7)
    & ssA(n2,n7) != ssA(n8,n7)
    & ssA(n2,n7) != ssA(n9,n7)
    & ssA(n3,n7) != ssA(n4,n7)
    & ssA(n3,n7) != ssA(n5,n7)
    & ssA(n3,n7) != ssA(n6,n7)
    & ssA(n3,n7) != ssA(n7,n7)
    & ssA(n3,n7) != ssA(n8,n7)
    & ssA(n3,n7) != ssA(n9,n7)
    & ssA(n4,n7) != ssA(n5,n7)
    & ssA(n4,n7) != ssA(n6,n7)
    & ssA(n4,n7) != ssA(n7,n7)
    & ssA(n4,n7) != ssA(n8,n7)
    & ssA(n4,n7) != ssA(n9,n7)
    & ssA(n5,n7) != ssA(n6,n7)
    & ssA(n5,n7) != ssA(n7,n7)
    & ssA(n5,n7) != ssA(n8,n7)
    & ssA(n5,n7) != ssA(n9,n7)
    & ssA(n6,n7) != ssA(n7,n7)
    & ssA(n6,n7) != ssA(n8,n7)
    & ssA(n6,n7) != ssA(n9,n7)
    & ssA(n7,n7) != ssA(n8,n7)
    & ssA(n7,n7) != ssA(n9,n7)
    & ssA(n8,n7) != ssA(n9,n7) )).

fof(ax162,axiom,
    ( ssA(n1,n8) = n1
    | ssA(n2,n8) = n1
    | ssA(n3,n8) = n1
    | ssA(n4,n8) = n1
    | ssA(n5,n8) = n1
    | ssA(n6,n8) = n1
    | ssA(n7,n8) = n1
    | ssA(n8,n8) = n1
    | ssA(n9,n8) = n1 )).

fof(ax163,axiom,
    ( ssA(n1,n8) = n2
    | ssA(n2,n8) = n2
    | ssA(n3,n8) = n2
    | ssA(n4,n8) = n2
    | ssA(n5,n8) = n2
    | ssA(n6,n8) = n2
    | ssA(n7,n8) = n2
    | ssA(n8,n8) = n2
    | ssA(n9,n8) = n2 )).

fof(ax164,axiom,
    ( ssA(n1,n8) = n3
    | ssA(n2,n8) = n3
    | ssA(n3,n8) = n3
    | ssA(n4,n8) = n3
    | ssA(n5,n8) = n3
    | ssA(n6,n8) = n3
    | ssA(n7,n8) = n3
    | ssA(n8,n8) = n3
    | ssA(n9,n8) = n3 )).

fof(ax165,axiom,
    ( ssA(n1,n8) = n4
    | ssA(n2,n8) = n4
    | ssA(n3,n8) = n4
    | ssA(n4,n8) = n4
    | ssA(n5,n8) = n4
    | ssA(n6,n8) = n4
    | ssA(n7,n8) = n4
    | ssA(n8,n8) = n4
    | ssA(n9,n8) = n4 )).

fof(ax166,axiom,
    ( ssA(n1,n8) = n5
    | ssA(n2,n8) = n5
    | ssA(n3,n8) = n5
    | ssA(n4,n8) = n5
    | ssA(n5,n8) = n5
    | ssA(n6,n8) = n5
    | ssA(n7,n8) = n5
    | ssA(n8,n8) = n5
    | ssA(n9,n8) = n5 )).

fof(ax167,axiom,
    ( ssA(n1,n8) = n6
    | ssA(n2,n8) = n6
    | ssA(n3,n8) = n6
    | ssA(n4,n8) = n6
    | ssA(n5,n8) = n6
    | ssA(n6,n8) = n6
    | ssA(n7,n8) = n6
    | ssA(n8,n8) = n6
    | ssA(n9,n8) = n6 )).

fof(ax168,axiom,
    ( ssA(n1,n8) = n7
    | ssA(n2,n8) = n7
    | ssA(n3,n8) = n7
    | ssA(n4,n8) = n7
    | ssA(n5,n8) = n7
    | ssA(n6,n8) = n7
    | ssA(n7,n8) = n7
    | ssA(n8,n8) = n7
    | ssA(n9,n8) = n7 )).

fof(ax169,axiom,
    ( ssA(n1,n8) = n8
    | ssA(n2,n8) = n8
    | ssA(n3,n8) = n8
    | ssA(n4,n8) = n8
    | ssA(n5,n8) = n8
    | ssA(n6,n8) = n8
    | ssA(n7,n8) = n8
    | ssA(n8,n8) = n8
    | ssA(n9,n8) = n8 )).

fof(ax170,axiom,
    ( ssA(n1,n8) = n9
    | ssA(n2,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n4,n8) = n9
    | ssA(n5,n8) = n9
    | ssA(n6,n8) = n9
    | ssA(n7,n8) = n9
    | ssA(n8,n8) = n9
    | ssA(n9,n8) = n9 )).

fof(ax171,axiom,
    ( ssA(n1,n8) != ssA(n2,n8)
    & ssA(n1,n8) != ssA(n3,n8)
    & ssA(n1,n8) != ssA(n4,n8)
    & ssA(n1,n8) != ssA(n5,n8)
    & ssA(n1,n8) != ssA(n6,n8)
    & ssA(n1,n8) != ssA(n7,n8)
    & ssA(n1,n8) != ssA(n8,n8)
    & ssA(n1,n8) != ssA(n9,n8)
    & ssA(n2,n8) != ssA(n3,n8)
    & ssA(n2,n8) != ssA(n4,n8)
    & ssA(n2,n8) != ssA(n5,n8)
    & ssA(n2,n8) != ssA(n6,n8)
    & ssA(n2,n8) != ssA(n7,n8)
    & ssA(n2,n8) != ssA(n8,n8)
    & ssA(n2,n8) != ssA(n9,n8)
    & ssA(n3,n8) != ssA(n4,n8)
    & ssA(n3,n8) != ssA(n5,n8)
    & ssA(n3,n8) != ssA(n6,n8)
    & ssA(n3,n8) != ssA(n7,n8)
    & ssA(n3,n8) != ssA(n8,n8)
    & ssA(n3,n8) != ssA(n9,n8)
    & ssA(n4,n8) != ssA(n5,n8)
    & ssA(n4,n8) != ssA(n6,n8)
    & ssA(n4,n8) != ssA(n7,n8)
    & ssA(n4,n8) != ssA(n8,n8)
    & ssA(n4,n8) != ssA(n9,n8)
    & ssA(n5,n8) != ssA(n6,n8)
    & ssA(n5,n8) != ssA(n7,n8)
    & ssA(n5,n8) != ssA(n8,n8)
    & ssA(n5,n8) != ssA(n9,n8)
    & ssA(n6,n8) != ssA(n7,n8)
    & ssA(n6,n8) != ssA(n8,n8)
    & ssA(n6,n8) != ssA(n9,n8)
    & ssA(n7,n8) != ssA(n8,n8)
    & ssA(n7,n8) != ssA(n9,n8)
    & ssA(n8,n8) != ssA(n9,n8) )).

fof(ax172,axiom,
    ( ssA(n1,n9) = n1
    | ssA(n2,n9) = n1
    | ssA(n3,n9) = n1
    | ssA(n4,n9) = n1
    | ssA(n5,n9) = n1
    | ssA(n6,n9) = n1
    | ssA(n7,n9) = n1
    | ssA(n8,n9) = n1
    | ssA(n9,n9) = n1 )).

fof(ax173,axiom,
    ( ssA(n1,n9) = n2
    | ssA(n2,n9) = n2
    | ssA(n3,n9) = n2
    | ssA(n4,n9) = n2
    | ssA(n5,n9) = n2
    | ssA(n6,n9) = n2
    | ssA(n7,n9) = n2
    | ssA(n8,n9) = n2
    | ssA(n9,n9) = n2 )).

fof(ax174,axiom,
    ( ssA(n1,n9) = n3
    | ssA(n2,n9) = n3
    | ssA(n3,n9) = n3
    | ssA(n4,n9) = n3
    | ssA(n5,n9) = n3
    | ssA(n6,n9) = n3
    | ssA(n7,n9) = n3
    | ssA(n8,n9) = n3
    | ssA(n9,n9) = n3 )).

fof(ax175,axiom,
    ( ssA(n1,n9) = n4
    | ssA(n2,n9) = n4
    | ssA(n3,n9) = n4
    | ssA(n4,n9) = n4
    | ssA(n5,n9) = n4
    | ssA(n6,n9) = n4
    | ssA(n7,n9) = n4
    | ssA(n8,n9) = n4
    | ssA(n9,n9) = n4 )).

fof(ax176,axiom,
    ( ssA(n1,n9) = n5
    | ssA(n2,n9) = n5
    | ssA(n3,n9) = n5
    | ssA(n4,n9) = n5
    | ssA(n5,n9) = n5
    | ssA(n6,n9) = n5
    | ssA(n7,n9) = n5
    | ssA(n8,n9) = n5
    | ssA(n9,n9) = n5 )).

fof(ax177,axiom,
    ( ssA(n1,n9) = n6
    | ssA(n2,n9) = n6
    | ssA(n3,n9) = n6
    | ssA(n4,n9) = n6
    | ssA(n5,n9) = n6
    | ssA(n6,n9) = n6
    | ssA(n7,n9) = n6
    | ssA(n8,n9) = n6
    | ssA(n9,n9) = n6 )).

fof(ax178,axiom,
    ( ssA(n1,n9) = n7
    | ssA(n2,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n4,n9) = n7
    | ssA(n5,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n7,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n9,n9) = n7 )).

fof(ax179,axiom,
    ( ssA(n1,n9) = n8
    | ssA(n2,n9) = n8
    | ssA(n3,n9) = n8
    | ssA(n4,n9) = n8
    | ssA(n5,n9) = n8
    | ssA(n6,n9) = n8
    | ssA(n7,n9) = n8
    | ssA(n8,n9) = n8
    | ssA(n9,n9) = n8 )).

fof(ax180,axiom,
    ( ssA(n1,n9) = n9
    | ssA(n2,n9) = n9
    | ssA(n3,n9) = n9
    | ssA(n4,n9) = n9
    | ssA(n5,n9) = n9
    | ssA(n6,n9) = n9
    | ssA(n7,n9) = n9
    | ssA(n8,n9) = n9
    | ssA(n9,n9) = n9 )).

fof(ax181,axiom,
    ( ssA(n1,n9) != ssA(n2,n9)
    & ssA(n1,n9) != ssA(n3,n9)
    & ssA(n1,n9) != ssA(n4,n9)
    & ssA(n1,n9) != ssA(n5,n9)
    & ssA(n1,n9) != ssA(n6,n9)
    & ssA(n1,n9) != ssA(n7,n9)
    & ssA(n1,n9) != ssA(n8,n9)
    & ssA(n1,n9) != ssA(n9,n9)
    & ssA(n2,n9) != ssA(n3,n9)
    & ssA(n2,n9) != ssA(n4,n9)
    & ssA(n2,n9) != ssA(n5,n9)
    & ssA(n2,n9) != ssA(n6,n9)
    & ssA(n2,n9) != ssA(n7,n9)
    & ssA(n2,n9) != ssA(n8,n9)
    & ssA(n2,n9) != ssA(n9,n9)
    & ssA(n3,n9) != ssA(n4,n9)
    & ssA(n3,n9) != ssA(n5,n9)
    & ssA(n3,n9) != ssA(n6,n9)
    & ssA(n3,n9) != ssA(n7,n9)
    & ssA(n3,n9) != ssA(n8,n9)
    & ssA(n3,n9) != ssA(n9,n9)
    & ssA(n4,n9) != ssA(n5,n9)
    & ssA(n4,n9) != ssA(n6,n9)
    & ssA(n4,n9) != ssA(n7,n9)
    & ssA(n4,n9) != ssA(n8,n9)
    & ssA(n4,n9) != ssA(n9,n9)
    & ssA(n5,n9) != ssA(n6,n9)
    & ssA(n5,n9) != ssA(n7,n9)
    & ssA(n5,n9) != ssA(n8,n9)
    & ssA(n5,n9) != ssA(n9,n9)
    & ssA(n6,n9) != ssA(n7,n9)
    & ssA(n6,n9) != ssA(n8,n9)
    & ssA(n6,n9) != ssA(n9,n9)
    & ssA(n7,n9) != ssA(n8,n9)
    & ssA(n7,n9) != ssA(n9,n9)
    & ssA(n8,n9) != ssA(n9,n9) )).

%----Subsquare constraints
fof(ax182,axiom,
    ( ssA(n1,n1) = n1
    | ssA(n1,n2) = n1
    | ssA(n1,n3) = n1
    | ssA(n2,n1) = n1
    | ssA(n2,n2) = n1
    | ssA(n2,n3) = n1
    | ssA(n3,n1) = n1
    | ssA(n3,n2) = n1
    | ssA(n3,n3) = n1 )).

fof(ax183,axiom,
    ( ssA(n1,n1) = n2
    | ssA(n1,n2) = n2
    | ssA(n1,n3) = n2
    | ssA(n2,n1) = n2
    | ssA(n2,n2) = n2
    | ssA(n2,n3) = n2
    | ssA(n3,n1) = n2
    | ssA(n3,n2) = n2
    | ssA(n3,n3) = n2 )).

fof(ax184,axiom,
    ( ssA(n1,n1) = n3
    | ssA(n1,n2) = n3
    | ssA(n1,n3) = n3
    | ssA(n2,n1) = n3
    | ssA(n2,n2) = n3
    | ssA(n2,n3) = n3
    | ssA(n3,n1) = n3
    | ssA(n3,n2) = n3
    | ssA(n3,n3) = n3 )).

fof(ax185,axiom,
    ( ssA(n1,n1) = n4
    | ssA(n1,n2) = n4
    | ssA(n1,n3) = n4
    | ssA(n2,n1) = n4
    | ssA(n2,n2) = n4
    | ssA(n2,n3) = n4
    | ssA(n3,n1) = n4
    | ssA(n3,n2) = n4
    | ssA(n3,n3) = n4 )).

fof(ax186,axiom,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n2,n1) = n5
    | ssA(n2,n2) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n1) = n5
    | ssA(n3,n2) = n5
    | ssA(n3,n3) = n5 )).

fof(ax187,axiom,
    ( ssA(n1,n1) = n6
    | ssA(n1,n2) = n6
    | ssA(n1,n3) = n6
    | ssA(n2,n1) = n6
    | ssA(n2,n2) = n6
    | ssA(n2,n3) = n6
    | ssA(n3,n1) = n6
    | ssA(n3,n2) = n6
    | ssA(n3,n3) = n6 )).

fof(ax188,axiom,
    ( ssA(n1,n1) = n7
    | ssA(n1,n2) = n7
    | ssA(n1,n3) = n7
    | ssA(n2,n1) = n7
    | ssA(n2,n2) = n7
    | ssA(n2,n3) = n7
    | ssA(n3,n1) = n7
    | ssA(n3,n2) = n7
    | ssA(n3,n3) = n7 )).

fof(ax189,axiom,
    ( ssA(n1,n1) = n8
    | ssA(n1,n2) = n8
    | ssA(n1,n3) = n8
    | ssA(n2,n1) = n8
    | ssA(n2,n2) = n8
    | ssA(n2,n3) = n8
    | ssA(n3,n1) = n8
    | ssA(n3,n2) = n8
    | ssA(n3,n3) = n8 )).

fof(ax190,axiom,
    ( ssA(n1,n1) = n9
    | ssA(n1,n2) = n9
    | ssA(n1,n3) = n9
    | ssA(n2,n1) = n9
    | ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n3,n1) = n9
    | ssA(n3,n2) = n9
    | ssA(n3,n3) = n9 )).

fof(ax191,axiom,
    ( ssA(n1,n1) != ssA(n1,n2)
    & ssA(n1,n1) != ssA(n1,n3)
    & ssA(n1,n1) != ssA(n2,n1)
    & ssA(n1,n1) != ssA(n2,n2)
    & ssA(n1,n1) != ssA(n2,n3)
    & ssA(n1,n1) != ssA(n3,n1)
    & ssA(n1,n1) != ssA(n3,n2)
    & ssA(n1,n1) != ssA(n3,n3)
    & ssA(n1,n2) != ssA(n1,n3)
    & ssA(n1,n2) != ssA(n2,n1)
    & ssA(n1,n2) != ssA(n2,n2)
    & ssA(n1,n2) != ssA(n2,n3)
    & ssA(n1,n2) != ssA(n3,n1)
    & ssA(n1,n2) != ssA(n3,n2)
    & ssA(n1,n2) != ssA(n3,n3)
    & ssA(n1,n3) != ssA(n2,n1)
    & ssA(n1,n3) != ssA(n2,n2)
    & ssA(n1,n3) != ssA(n2,n3)
    & ssA(n1,n3) != ssA(n3,n1)
    & ssA(n1,n3) != ssA(n3,n2)
    & ssA(n1,n3) != ssA(n3,n3)
    & ssA(n2,n1) != ssA(n2,n2)
    & ssA(n2,n1) != ssA(n2,n3)
    & ssA(n2,n1) != ssA(n3,n1)
    & ssA(n2,n1) != ssA(n3,n2)
    & ssA(n2,n1) != ssA(n3,n3)
    & ssA(n2,n2) != ssA(n2,n3)
    & ssA(n2,n2) != ssA(n3,n1)
    & ssA(n2,n2) != ssA(n3,n2)
    & ssA(n2,n2) != ssA(n3,n3)
    & ssA(n2,n3) != ssA(n3,n1)
    & ssA(n2,n3) != ssA(n3,n2)
    & ssA(n2,n3) != ssA(n3,n3)
    & ssA(n3,n1) != ssA(n3,n2)
    & ssA(n3,n1) != ssA(n3,n3)
    & ssA(n3,n2) != ssA(n3,n3) )).

fof(ax192,axiom,
    ( ssA(n1,n4) = n1
    | ssA(n1,n5) = n1
    | ssA(n1,n6) = n1
    | ssA(n2,n4) = n1
    | ssA(n2,n5) = n1
    | ssA(n2,n6) = n1
    | ssA(n3,n4) = n1
    | ssA(n3,n5) = n1
    | ssA(n3,n6) = n1 )).

fof(ax193,axiom,
    ( ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n2,n4) = n2
    | ssA(n2,n5) = n2
    | ssA(n2,n6) = n2
    | ssA(n3,n4) = n2
    | ssA(n3,n5) = n2
    | ssA(n3,n6) = n2 )).

fof(ax194,axiom,
    ( ssA(n1,n4) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n6) = n3
    | ssA(n2,n4) = n3
    | ssA(n2,n5) = n3
    | ssA(n2,n6) = n3
    | ssA(n3,n4) = n3
    | ssA(n3,n5) = n3
    | ssA(n3,n6) = n3 )).

fof(ax195,axiom,
    ( ssA(n1,n4) = n4
    | ssA(n1,n5) = n4
    | ssA(n1,n6) = n4
    | ssA(n2,n4) = n4
    | ssA(n2,n5) = n4
    | ssA(n2,n6) = n4
    | ssA(n3,n4) = n4
    | ssA(n3,n5) = n4
    | ssA(n3,n6) = n4 )).

fof(ax196,axiom,
    ( ssA(n1,n4) = n5
    | ssA(n1,n5) = n5
    | ssA(n1,n6) = n5
    | ssA(n2,n4) = n5
    | ssA(n2,n5) = n5
    | ssA(n2,n6) = n5
    | ssA(n3,n4) = n5
    | ssA(n3,n5) = n5
    | ssA(n3,n6) = n5 )).

fof(ax197,axiom,
    ( ssA(n1,n4) = n6
    | ssA(n1,n5) = n6
    | ssA(n1,n6) = n6
    | ssA(n2,n4) = n6
    | ssA(n2,n5) = n6
    | ssA(n2,n6) = n6
    | ssA(n3,n4) = n6
    | ssA(n3,n5) = n6
    | ssA(n3,n6) = n6 )).

fof(ax198,axiom,
    ( ssA(n1,n4) = n7
    | ssA(n1,n5) = n7
    | ssA(n1,n6) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n4) = n7
    | ssA(n3,n5) = n7
    | ssA(n3,n6) = n7 )).

fof(ax199,axiom,
    ( ssA(n1,n4) = n8
    | ssA(n1,n5) = n8
    | ssA(n1,n6) = n8
    | ssA(n2,n4) = n8
    | ssA(n2,n5) = n8
    | ssA(n2,n6) = n8
    | ssA(n3,n4) = n8
    | ssA(n3,n5) = n8
    | ssA(n3,n6) = n8 )).

fof(ax200,axiom,
    ( ssA(n1,n4) = n9
    | ssA(n1,n5) = n9
    | ssA(n1,n6) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n3,n4) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n6) = n9 )).

fof(ax201,axiom,
    ( ssA(n1,n4) != ssA(n1,n5)
    & ssA(n1,n4) != ssA(n1,n6)
    & ssA(n1,n4) != ssA(n2,n4)
    & ssA(n1,n4) != ssA(n2,n5)
    & ssA(n1,n4) != ssA(n2,n6)
    & ssA(n1,n4) != ssA(n3,n4)
    & ssA(n1,n4) != ssA(n3,n5)
    & ssA(n1,n4) != ssA(n3,n6)
    & ssA(n1,n5) != ssA(n1,n6)
    & ssA(n1,n5) != ssA(n2,n4)
    & ssA(n1,n5) != ssA(n2,n5)
    & ssA(n1,n5) != ssA(n2,n6)
    & ssA(n1,n5) != ssA(n3,n4)
    & ssA(n1,n5) != ssA(n3,n5)
    & ssA(n1,n5) != ssA(n3,n6)
    & ssA(n1,n6) != ssA(n2,n4)
    & ssA(n1,n6) != ssA(n2,n5)
    & ssA(n1,n6) != ssA(n2,n6)
    & ssA(n1,n6) != ssA(n3,n4)
    & ssA(n1,n6) != ssA(n3,n5)
    & ssA(n1,n6) != ssA(n3,n6)
    & ssA(n2,n4) != ssA(n2,n5)
    & ssA(n2,n4) != ssA(n2,n6)
    & ssA(n2,n4) != ssA(n3,n4)
    & ssA(n2,n4) != ssA(n3,n5)
    & ssA(n2,n4) != ssA(n3,n6)
    & ssA(n2,n5) != ssA(n2,n6)
    & ssA(n2,n5) != ssA(n3,n4)
    & ssA(n2,n5) != ssA(n3,n5)
    & ssA(n2,n5) != ssA(n3,n6)
    & ssA(n2,n6) != ssA(n3,n4)
    & ssA(n2,n6) != ssA(n3,n5)
    & ssA(n2,n6) != ssA(n3,n6)
    & ssA(n3,n4) != ssA(n3,n5)
    & ssA(n3,n4) != ssA(n3,n6)
    & ssA(n3,n5) != ssA(n3,n6) )).

fof(ax202,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n1,n8) = n1
    | ssA(n1,n9) = n1
    | ssA(n2,n7) = n1
    | ssA(n2,n8) = n1
    | ssA(n2,n9) = n1
    | ssA(n3,n7) = n1
    | ssA(n3,n8) = n1
    | ssA(n3,n9) = n1 )).

fof(ax203,axiom,
    ( ssA(n1,n7) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2
    | ssA(n2,n7) = n2
    | ssA(n2,n8) = n2
    | ssA(n2,n9) = n2
    | ssA(n3,n7) = n2
    | ssA(n3,n8) = n2
    | ssA(n3,n9) = n2 )).

fof(ax204,axiom,
    ( ssA(n1,n7) = n3
    | ssA(n1,n8) = n3
    | ssA(n1,n9) = n3
    | ssA(n2,n7) = n3
    | ssA(n2,n8) = n3
    | ssA(n2,n9) = n3
    | ssA(n3,n7) = n3
    | ssA(n3,n8) = n3
    | ssA(n3,n9) = n3 )).

fof(ax205,axiom,
    ( ssA(n1,n7) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n9) = n4
    | ssA(n2,n7) = n4
    | ssA(n2,n8) = n4
    | ssA(n2,n9) = n4
    | ssA(n3,n7) = n4
    | ssA(n3,n8) = n4
    | ssA(n3,n9) = n4 )).

fof(ax206,axiom,
    ( ssA(n1,n7) = n5
    | ssA(n1,n8) = n5
    | ssA(n1,n9) = n5
    | ssA(n2,n7) = n5
    | ssA(n2,n8) = n5
    | ssA(n2,n9) = n5
    | ssA(n3,n7) = n5
    | ssA(n3,n8) = n5
    | ssA(n3,n9) = n5 )).

fof(ax207,axiom,
    ( ssA(n1,n7) = n6
    | ssA(n1,n8) = n6
    | ssA(n1,n9) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6
    | ssA(n3,n7) = n6
    | ssA(n3,n8) = n6
    | ssA(n3,n9) = n6 )).

fof(ax208,axiom,
    ( ssA(n1,n7) = n7
    | ssA(n1,n8) = n7
    | ssA(n1,n9) = n7
    | ssA(n2,n7) = n7
    | ssA(n2,n8) = n7
    | ssA(n2,n9) = n7
    | ssA(n3,n7) = n7
    | ssA(n3,n8) = n7
    | ssA(n3,n9) = n7 )).

fof(ax209,axiom,
    ( ssA(n1,n7) = n8
    | ssA(n1,n8) = n8
    | ssA(n1,n9) = n8
    | ssA(n2,n7) = n8
    | ssA(n2,n8) = n8
    | ssA(n2,n9) = n8
    | ssA(n3,n7) = n8
    | ssA(n3,n8) = n8
    | ssA(n3,n9) = n8 )).

fof(ax210,axiom,
    ( ssA(n1,n7) = n9
    | ssA(n1,n8) = n9
    | ssA(n1,n9) = n9
    | ssA(n2,n7) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n9) = n9
    | ssA(n3,n7) = n9
    | ssA(n3,n8) = n9
    | ssA(n3,n9) = n9 )).

fof(ax211,axiom,
    ( ssA(n1,n7) != ssA(n1,n8)
    & ssA(n1,n7) != ssA(n1,n9)
    & ssA(n1,n7) != ssA(n2,n7)
    & ssA(n1,n7) != ssA(n2,n8)
    & ssA(n1,n7) != ssA(n2,n9)
    & ssA(n1,n7) != ssA(n3,n7)
    & ssA(n1,n7) != ssA(n3,n8)
    & ssA(n1,n7) != ssA(n3,n9)
    & ssA(n1,n8) != ssA(n1,n9)
    & ssA(n1,n8) != ssA(n2,n7)
    & ssA(n1,n8) != ssA(n2,n8)
    & ssA(n1,n8) != ssA(n2,n9)
    & ssA(n1,n8) != ssA(n3,n7)
    & ssA(n1,n8) != ssA(n3,n8)
    & ssA(n1,n8) != ssA(n3,n9)
    & ssA(n1,n9) != ssA(n2,n7)
    & ssA(n1,n9) != ssA(n2,n8)
    & ssA(n1,n9) != ssA(n2,n9)
    & ssA(n1,n9) != ssA(n3,n7)
    & ssA(n1,n9) != ssA(n3,n8)
    & ssA(n1,n9) != ssA(n3,n9)
    & ssA(n2,n7) != ssA(n2,n8)
    & ssA(n2,n7) != ssA(n2,n9)
    & ssA(n2,n7) != ssA(n3,n7)
    & ssA(n2,n7) != ssA(n3,n8)
    & ssA(n2,n7) != ssA(n3,n9)
    & ssA(n2,n8) != ssA(n2,n9)
    & ssA(n2,n8) != ssA(n3,n7)
    & ssA(n2,n8) != ssA(n3,n8)
    & ssA(n2,n8) != ssA(n3,n9)
    & ssA(n2,n9) != ssA(n3,n7)
    & ssA(n2,n9) != ssA(n3,n8)
    & ssA(n2,n9) != ssA(n3,n9)
    & ssA(n3,n7) != ssA(n3,n8)
    & ssA(n3,n7) != ssA(n3,n9)
    & ssA(n3,n8) != ssA(n3,n9) )).

fof(ax212,axiom,
    ( ssA(n4,n1) = n1
    | ssA(n4,n2) = n1
    | ssA(n4,n3) = n1
    | ssA(n5,n1) = n1
    | ssA(n5,n2) = n1
    | ssA(n5,n3) = n1
    | ssA(n6,n1) = n1
    | ssA(n6,n2) = n1
    | ssA(n6,n3) = n1 )).

fof(ax213,axiom,
    ( ssA(n4,n1) = n2
    | ssA(n4,n2) = n2
    | ssA(n4,n3) = n2
    | ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n6,n1) = n2
    | ssA(n6,n2) = n2
    | ssA(n6,n3) = n2 )).

fof(ax214,axiom,
    ( ssA(n4,n1) = n3
    | ssA(n4,n2) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n1) = n3
    | ssA(n5,n2) = n3
    | ssA(n5,n3) = n3
    | ssA(n6,n1) = n3
    | ssA(n6,n2) = n3
    | ssA(n6,n3) = n3 )).

fof(ax215,axiom,
    ( ssA(n4,n1) = n4
    | ssA(n4,n2) = n4
    | ssA(n4,n3) = n4
    | ssA(n5,n1) = n4
    | ssA(n5,n2) = n4
    | ssA(n5,n3) = n4
    | ssA(n6,n1) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n3) = n4 )).

fof(ax216,axiom,
    ( ssA(n4,n1) = n5
    | ssA(n4,n2) = n5
    | ssA(n4,n3) = n5
    | ssA(n5,n1) = n5
    | ssA(n5,n2) = n5
    | ssA(n5,n3) = n5
    | ssA(n6,n1) = n5
    | ssA(n6,n2) = n5
    | ssA(n6,n3) = n5 )).

fof(ax217,axiom,
    ( ssA(n4,n1) = n6
    | ssA(n4,n2) = n6
    | ssA(n4,n3) = n6
    | ssA(n5,n1) = n6
    | ssA(n5,n2) = n6
    | ssA(n5,n3) = n6
    | ssA(n6,n1) = n6
    | ssA(n6,n2) = n6
    | ssA(n6,n3) = n6 )).

fof(ax218,axiom,
    ( ssA(n4,n1) = n7
    | ssA(n4,n2) = n7
    | ssA(n4,n3) = n7
    | ssA(n5,n1) = n7
    | ssA(n5,n2) = n7
    | ssA(n5,n3) = n7
    | ssA(n6,n1) = n7
    | ssA(n6,n2) = n7
    | ssA(n6,n3) = n7 )).

fof(ax219,axiom,
    ( ssA(n4,n1) = n8
    | ssA(n4,n2) = n8
    | ssA(n4,n3) = n8
    | ssA(n5,n1) = n8
    | ssA(n5,n2) = n8
    | ssA(n5,n3) = n8
    | ssA(n6,n1) = n8
    | ssA(n6,n2) = n8
    | ssA(n6,n3) = n8 )).

fof(ax220,axiom,
    ( ssA(n4,n1) = n9
    | ssA(n4,n2) = n9
    | ssA(n4,n3) = n9
    | ssA(n5,n1) = n9
    | ssA(n5,n2) = n9
    | ssA(n5,n3) = n9
    | ssA(n6,n1) = n9
    | ssA(n6,n2) = n9
    | ssA(n6,n3) = n9 )).

fof(ax221,axiom,
    ( ssA(n4,n1) != ssA(n4,n2)
    & ssA(n4,n1) != ssA(n4,n3)
    & ssA(n4,n1) != ssA(n5,n1)
    & ssA(n4,n1) != ssA(n5,n2)
    & ssA(n4,n1) != ssA(n5,n3)
    & ssA(n4,n1) != ssA(n6,n1)
    & ssA(n4,n1) != ssA(n6,n2)
    & ssA(n4,n1) != ssA(n6,n3)
    & ssA(n4,n2) != ssA(n4,n3)
    & ssA(n4,n2) != ssA(n5,n1)
    & ssA(n4,n2) != ssA(n5,n2)
    & ssA(n4,n2) != ssA(n5,n3)
    & ssA(n4,n2) != ssA(n6,n1)
    & ssA(n4,n2) != ssA(n6,n2)
    & ssA(n4,n2) != ssA(n6,n3)
    & ssA(n4,n3) != ssA(n5,n1)
    & ssA(n4,n3) != ssA(n5,n2)
    & ssA(n4,n3) != ssA(n5,n3)
    & ssA(n4,n3) != ssA(n6,n1)
    & ssA(n4,n3) != ssA(n6,n2)
    & ssA(n4,n3) != ssA(n6,n3)
    & ssA(n5,n1) != ssA(n5,n2)
    & ssA(n5,n1) != ssA(n5,n3)
    & ssA(n5,n1) != ssA(n6,n1)
    & ssA(n5,n1) != ssA(n6,n2)
    & ssA(n5,n1) != ssA(n6,n3)
    & ssA(n5,n2) != ssA(n5,n3)
    & ssA(n5,n2) != ssA(n6,n1)
    & ssA(n5,n2) != ssA(n6,n2)
    & ssA(n5,n2) != ssA(n6,n3)
    & ssA(n5,n3) != ssA(n6,n1)
    & ssA(n5,n3) != ssA(n6,n2)
    & ssA(n5,n3) != ssA(n6,n3)
    & ssA(n6,n1) != ssA(n6,n2)
    & ssA(n6,n1) != ssA(n6,n3)
    & ssA(n6,n2) != ssA(n6,n3) )).

fof(ax222,axiom,
    ( ssA(n4,n4) = n1
    | ssA(n4,n5) = n1
    | ssA(n4,n6) = n1
    | ssA(n5,n4) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n6) = n1
    | ssA(n6,n4) = n1
    | ssA(n6,n5) = n1
    | ssA(n6,n6) = n1 )).

fof(ax223,axiom,
    ( ssA(n4,n4) = n2
    | ssA(n4,n5) = n2
    | ssA(n4,n6) = n2
    | ssA(n5,n4) = n2
    | ssA(n5,n5) = n2
    | ssA(n5,n6) = n2
    | ssA(n6,n4) = n2
    | ssA(n6,n5) = n2
    | ssA(n6,n6) = n2 )).

fof(ax224,axiom,
    ( ssA(n4,n4) = n3
    | ssA(n4,n5) = n3
    | ssA(n4,n6) = n3
    | ssA(n5,n4) = n3
    | ssA(n5,n5) = n3
    | ssA(n5,n6) = n3
    | ssA(n6,n4) = n3
    | ssA(n6,n5) = n3
    | ssA(n6,n6) = n3 )).

fof(ax225,axiom,
    ( ssA(n4,n4) = n4
    | ssA(n4,n5) = n4
    | ssA(n4,n6) = n4
    | ssA(n5,n4) = n4
    | ssA(n5,n5) = n4
    | ssA(n5,n6) = n4
    | ssA(n6,n4) = n4
    | ssA(n6,n5) = n4
    | ssA(n6,n6) = n4 )).

fof(ax226,axiom,
    ( ssA(n4,n4) = n5
    | ssA(n4,n5) = n5
    | ssA(n4,n6) = n5
    | ssA(n5,n4) = n5
    | ssA(n5,n5) = n5
    | ssA(n5,n6) = n5
    | ssA(n6,n4) = n5
    | ssA(n6,n5) = n5
    | ssA(n6,n6) = n5 )).

fof(ax227,axiom,
    ( ssA(n4,n4) = n6
    | ssA(n4,n5) = n6
    | ssA(n4,n6) = n6
    | ssA(n5,n4) = n6
    | ssA(n5,n5) = n6
    | ssA(n5,n6) = n6
    | ssA(n6,n4) = n6
    | ssA(n6,n5) = n6
    | ssA(n6,n6) = n6 )).

fof(ax228,axiom,
    ( ssA(n4,n4) = n7
    | ssA(n4,n5) = n7
    | ssA(n4,n6) = n7
    | ssA(n5,n4) = n7
    | ssA(n5,n5) = n7
    | ssA(n5,n6) = n7
    | ssA(n6,n4) = n7
    | ssA(n6,n5) = n7
    | ssA(n6,n6) = n7 )).

fof(ax229,axiom,
    ( ssA(n4,n4) = n8
    | ssA(n4,n5) = n8
    | ssA(n4,n6) = n8
    | ssA(n5,n4) = n8
    | ssA(n5,n5) = n8
    | ssA(n5,n6) = n8
    | ssA(n6,n4) = n8
    | ssA(n6,n5) = n8
    | ssA(n6,n6) = n8 )).

fof(ax230,axiom,
    ( ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n5,n4) = n9
    | ssA(n5,n5) = n9
    | ssA(n5,n6) = n9
    | ssA(n6,n4) = n9
    | ssA(n6,n5) = n9
    | ssA(n6,n6) = n9 )).

fof(ax231,axiom,
    ( ssA(n4,n4) != ssA(n4,n5)
    & ssA(n4,n4) != ssA(n4,n6)
    & ssA(n4,n4) != ssA(n5,n4)
    & ssA(n4,n4) != ssA(n5,n5)
    & ssA(n4,n4) != ssA(n5,n6)
    & ssA(n4,n4) != ssA(n6,n4)
    & ssA(n4,n4) != ssA(n6,n5)
    & ssA(n4,n4) != ssA(n6,n6)
    & ssA(n4,n5) != ssA(n4,n6)
    & ssA(n4,n5) != ssA(n5,n4)
    & ssA(n4,n5) != ssA(n5,n5)
    & ssA(n4,n5) != ssA(n5,n6)
    & ssA(n4,n5) != ssA(n6,n4)
    & ssA(n4,n5) != ssA(n6,n5)
    & ssA(n4,n5) != ssA(n6,n6)
    & ssA(n4,n6) != ssA(n5,n4)
    & ssA(n4,n6) != ssA(n5,n5)
    & ssA(n4,n6) != ssA(n5,n6)
    & ssA(n4,n6) != ssA(n6,n4)
    & ssA(n4,n6) != ssA(n6,n5)
    & ssA(n4,n6) != ssA(n6,n6)
    & ssA(n5,n4) != ssA(n5,n5)
    & ssA(n5,n4) != ssA(n5,n6)
    & ssA(n5,n4) != ssA(n6,n4)
    & ssA(n5,n4) != ssA(n6,n5)
    & ssA(n5,n4) != ssA(n6,n6)
    & ssA(n5,n5) != ssA(n5,n6)
    & ssA(n5,n5) != ssA(n6,n4)
    & ssA(n5,n5) != ssA(n6,n5)
    & ssA(n5,n5) != ssA(n6,n6)
    & ssA(n5,n6) != ssA(n6,n4)
    & ssA(n5,n6) != ssA(n6,n5)
    & ssA(n5,n6) != ssA(n6,n6)
    & ssA(n6,n4) != ssA(n6,n5)
    & ssA(n6,n4) != ssA(n6,n6)
    & ssA(n6,n5) != ssA(n6,n6) )).

fof(ax232,axiom,
    ( ssA(n4,n7) = n1
    | ssA(n4,n8) = n1
    | ssA(n4,n9) = n1
    | ssA(n5,n7) = n1
    | ssA(n5,n8) = n1
    | ssA(n5,n9) = n1
    | ssA(n6,n7) = n1
    | ssA(n6,n8) = n1
    | ssA(n6,n9) = n1 )).

fof(ax233,axiom,
    ( ssA(n4,n7) = n2
    | ssA(n4,n8) = n2
    | ssA(n4,n9) = n2
    | ssA(n5,n7) = n2
    | ssA(n5,n8) = n2
    | ssA(n5,n9) = n2
    | ssA(n6,n7) = n2
    | ssA(n6,n8) = n2
    | ssA(n6,n9) = n2 )).

fof(ax234,axiom,
    ( ssA(n4,n7) = n3
    | ssA(n4,n8) = n3
    | ssA(n4,n9) = n3
    | ssA(n5,n7) = n3
    | ssA(n5,n8) = n3
    | ssA(n5,n9) = n3
    | ssA(n6,n7) = n3
    | ssA(n6,n8) = n3
    | ssA(n6,n9) = n3 )).

fof(ax235,axiom,
    ( ssA(n4,n7) = n4
    | ssA(n4,n8) = n4
    | ssA(n4,n9) = n4
    | ssA(n5,n7) = n4
    | ssA(n5,n8) = n4
    | ssA(n5,n9) = n4
    | ssA(n6,n7) = n4
    | ssA(n6,n8) = n4
    | ssA(n6,n9) = n4 )).

fof(ax236,axiom,
    ( ssA(n4,n7) = n5
    | ssA(n4,n8) = n5
    | ssA(n4,n9) = n5
    | ssA(n5,n7) = n5
    | ssA(n5,n8) = n5
    | ssA(n5,n9) = n5
    | ssA(n6,n7) = n5
    | ssA(n6,n8) = n5
    | ssA(n6,n9) = n5 )).

fof(ax237,axiom,
    ( ssA(n4,n7) = n6
    | ssA(n4,n8) = n6
    | ssA(n4,n9) = n6
    | ssA(n5,n7) = n6
    | ssA(n5,n8) = n6
    | ssA(n5,n9) = n6
    | ssA(n6,n7) = n6
    | ssA(n6,n8) = n6
    | ssA(n6,n9) = n6 )).

fof(ax238,axiom,
    ( ssA(n4,n7) = n7
    | ssA(n4,n8) = n7
    | ssA(n4,n9) = n7
    | ssA(n5,n7) = n7
    | ssA(n5,n8) = n7
    | ssA(n5,n9) = n7
    | ssA(n6,n7) = n7
    | ssA(n6,n8) = n7
    | ssA(n6,n9) = n7 )).

fof(ax239,axiom,
    ( ssA(n4,n7) = n8
    | ssA(n4,n8) = n8
    | ssA(n4,n9) = n8
    | ssA(n5,n7) = n8
    | ssA(n5,n8) = n8
    | ssA(n5,n9) = n8
    | ssA(n6,n7) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n9) = n8 )).

fof(ax240,axiom,
    ( ssA(n4,n7) = n9
    | ssA(n4,n8) = n9
    | ssA(n4,n9) = n9
    | ssA(n5,n7) = n9
    | ssA(n5,n8) = n9
    | ssA(n5,n9) = n9
    | ssA(n6,n7) = n9
    | ssA(n6,n8) = n9
    | ssA(n6,n9) = n9 )).

fof(ax241,axiom,
    ( ssA(n4,n7) != ssA(n4,n8)
    & ssA(n4,n7) != ssA(n4,n9)
    & ssA(n4,n7) != ssA(n5,n7)
    & ssA(n4,n7) != ssA(n5,n8)
    & ssA(n4,n7) != ssA(n5,n9)
    & ssA(n4,n7) != ssA(n6,n7)
    & ssA(n4,n7) != ssA(n6,n8)
    & ssA(n4,n7) != ssA(n6,n9)
    & ssA(n4,n8) != ssA(n4,n9)
    & ssA(n4,n8) != ssA(n5,n7)
    & ssA(n4,n8) != ssA(n5,n8)
    & ssA(n4,n8) != ssA(n5,n9)
    & ssA(n4,n8) != ssA(n6,n7)
    & ssA(n4,n8) != ssA(n6,n8)
    & ssA(n4,n8) != ssA(n6,n9)
    & ssA(n4,n9) != ssA(n5,n7)
    & ssA(n4,n9) != ssA(n5,n8)
    & ssA(n4,n9) != ssA(n5,n9)
    & ssA(n4,n9) != ssA(n6,n7)
    & ssA(n4,n9) != ssA(n6,n8)
    & ssA(n4,n9) != ssA(n6,n9)
    & ssA(n5,n7) != ssA(n5,n8)
    & ssA(n5,n7) != ssA(n5,n9)
    & ssA(n5,n7) != ssA(n6,n7)
    & ssA(n5,n7) != ssA(n6,n8)
    & ssA(n5,n7) != ssA(n6,n9)
    & ssA(n5,n8) != ssA(n5,n9)
    & ssA(n5,n8) != ssA(n6,n7)
    & ssA(n5,n8) != ssA(n6,n8)
    & ssA(n5,n8) != ssA(n6,n9)
    & ssA(n5,n9) != ssA(n6,n7)
    & ssA(n5,n9) != ssA(n6,n8)
    & ssA(n5,n9) != ssA(n6,n9)
    & ssA(n6,n7) != ssA(n6,n8)
    & ssA(n6,n7) != ssA(n6,n9)
    & ssA(n6,n8) != ssA(n6,n9) )).

fof(ax242,axiom,
    ( ssA(n7,n1) = n1
    | ssA(n7,n2) = n1
    | ssA(n7,n3) = n1
    | ssA(n8,n1) = n1
    | ssA(n8,n2) = n1
    | ssA(n8,n3) = n1
    | ssA(n9,n1) = n1
    | ssA(n9,n2) = n1
    | ssA(n9,n3) = n1 )).

fof(ax243,axiom,
    ( ssA(n7,n1) = n2
    | ssA(n7,n2) = n2
    | ssA(n7,n3) = n2
    | ssA(n8,n1) = n2
    | ssA(n8,n2) = n2
    | ssA(n8,n3) = n2
    | ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2 )).

fof(ax244,axiom,
    ( ssA(n7,n1) = n3
    | ssA(n7,n2) = n3
    | ssA(n7,n3) = n3
    | ssA(n8,n1) = n3
    | ssA(n8,n2) = n3
    | ssA(n8,n3) = n3
    | ssA(n9,n1) = n3
    | ssA(n9,n2) = n3
    | ssA(n9,n3) = n3 )).

fof(ax245,axiom,
    ( ssA(n7,n1) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n3) = n4
    | ssA(n8,n1) = n4
    | ssA(n8,n2) = n4
    | ssA(n8,n3) = n4
    | ssA(n9,n1) = n4
    | ssA(n9,n2) = n4
    | ssA(n9,n3) = n4 )).

fof(ax246,axiom,
    ( ssA(n7,n1) = n5
    | ssA(n7,n2) = n5
    | ssA(n7,n3) = n5
    | ssA(n8,n1) = n5
    | ssA(n8,n2) = n5
    | ssA(n8,n3) = n5
    | ssA(n9,n1) = n5
    | ssA(n9,n2) = n5
    | ssA(n9,n3) = n5 )).

fof(ax247,axiom,
    ( ssA(n7,n1) = n6
    | ssA(n7,n2) = n6
    | ssA(n7,n3) = n6
    | ssA(n8,n1) = n6
    | ssA(n8,n2) = n6
    | ssA(n8,n3) = n6
    | ssA(n9,n1) = n6
    | ssA(n9,n2) = n6
    | ssA(n9,n3) = n6 )).

fof(ax248,axiom,
    ( ssA(n7,n1) = n7
    | ssA(n7,n2) = n7
    | ssA(n7,n3) = n7
    | ssA(n8,n1) = n7
    | ssA(n8,n2) = n7
    | ssA(n8,n3) = n7
    | ssA(n9,n1) = n7
    | ssA(n9,n2) = n7
    | ssA(n9,n3) = n7 )).

fof(ax249,axiom,
    ( ssA(n7,n1) = n8
    | ssA(n7,n2) = n8
    | ssA(n7,n3) = n8
    | ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n9,n1) = n8
    | ssA(n9,n2) = n8
    | ssA(n9,n3) = n8 )).

fof(ax250,axiom,
    ( ssA(n7,n1) = n9
    | ssA(n7,n2) = n9
    | ssA(n7,n3) = n9
    | ssA(n8,n1) = n9
    | ssA(n8,n2) = n9
    | ssA(n8,n3) = n9
    | ssA(n9,n1) = n9
    | ssA(n9,n2) = n9
    | ssA(n9,n3) = n9 )).

fof(ax251,axiom,
    ( ssA(n7,n1) != ssA(n7,n2)
    & ssA(n7,n1) != ssA(n7,n3)
    & ssA(n7,n1) != ssA(n8,n1)
    & ssA(n7,n1) != ssA(n8,n2)
    & ssA(n7,n1) != ssA(n8,n3)
    & ssA(n7,n1) != ssA(n9,n1)
    & ssA(n7,n1) != ssA(n9,n2)
    & ssA(n7,n1) != ssA(n9,n3)
    & ssA(n7,n2) != ssA(n7,n3)
    & ssA(n7,n2) != ssA(n8,n1)
    & ssA(n7,n2) != ssA(n8,n2)
    & ssA(n7,n2) != ssA(n8,n3)
    & ssA(n7,n2) != ssA(n9,n1)
    & ssA(n7,n2) != ssA(n9,n2)
    & ssA(n7,n2) != ssA(n9,n3)
    & ssA(n7,n3) != ssA(n8,n1)
    & ssA(n7,n3) != ssA(n8,n2)
    & ssA(n7,n3) != ssA(n8,n3)
    & ssA(n7,n3) != ssA(n9,n1)
    & ssA(n7,n3) != ssA(n9,n2)
    & ssA(n7,n3) != ssA(n9,n3)
    & ssA(n8,n1) != ssA(n8,n2)
    & ssA(n8,n1) != ssA(n8,n3)
    & ssA(n8,n1) != ssA(n9,n1)
    & ssA(n8,n1) != ssA(n9,n2)
    & ssA(n8,n1) != ssA(n9,n3)
    & ssA(n8,n2) != ssA(n8,n3)
    & ssA(n8,n2) != ssA(n9,n1)
    & ssA(n8,n2) != ssA(n9,n2)
    & ssA(n8,n2) != ssA(n9,n3)
    & ssA(n8,n3) != ssA(n9,n1)
    & ssA(n8,n3) != ssA(n9,n2)
    & ssA(n8,n3) != ssA(n9,n3)
    & ssA(n9,n1) != ssA(n9,n2)
    & ssA(n9,n1) != ssA(n9,n3)
    & ssA(n9,n2) != ssA(n9,n3) )).

fof(ax252,axiom,
    ( ssA(n7,n4) = n1
    | ssA(n7,n5) = n1
    | ssA(n7,n6) = n1
    | ssA(n8,n4) = n1
    | ssA(n8,n5) = n1
    | ssA(n8,n6) = n1
    | ssA(n9,n4) = n1
    | ssA(n9,n5) = n1
    | ssA(n9,n6) = n1 )).

fof(ax253,axiom,
    ( ssA(n7,n4) = n2
    | ssA(n7,n5) = n2
    | ssA(n7,n6) = n2
    | ssA(n8,n4) = n2
    | ssA(n8,n5) = n2
    | ssA(n8,n6) = n2
    | ssA(n9,n4) = n2
    | ssA(n9,n5) = n2
    | ssA(n9,n6) = n2 )).

fof(ax254,axiom,
    ( ssA(n7,n4) = n3
    | ssA(n7,n5) = n3
    | ssA(n7,n6) = n3
    | ssA(n8,n4) = n3
    | ssA(n8,n5) = n3
    | ssA(n8,n6) = n3
    | ssA(n9,n4) = n3
    | ssA(n9,n5) = n3
    | ssA(n9,n6) = n3 )).

fof(ax255,axiom,
    ( ssA(n7,n4) = n4
    | ssA(n7,n5) = n4
    | ssA(n7,n6) = n4
    | ssA(n8,n4) = n4
    | ssA(n8,n5) = n4
    | ssA(n8,n6) = n4
    | ssA(n9,n4) = n4
    | ssA(n9,n5) = n4
    | ssA(n9,n6) = n4 )).

fof(ax256,axiom,
    ( ssA(n7,n4) = n5
    | ssA(n7,n5) = n5
    | ssA(n7,n6) = n5
    | ssA(n8,n4) = n5
    | ssA(n8,n5) = n5
    | ssA(n8,n6) = n5
    | ssA(n9,n4) = n5
    | ssA(n9,n5) = n5
    | ssA(n9,n6) = n5 )).

fof(ax257,axiom,
    ( ssA(n7,n4) = n6
    | ssA(n7,n5) = n6
    | ssA(n7,n6) = n6
    | ssA(n8,n4) = n6
    | ssA(n8,n5) = n6
    | ssA(n8,n6) = n6
    | ssA(n9,n4) = n6
    | ssA(n9,n5) = n6
    | ssA(n9,n6) = n6 )).

fof(ax258,axiom,
    ( ssA(n7,n4) = n7
    | ssA(n7,n5) = n7
    | ssA(n7,n6) = n7
    | ssA(n8,n4) = n7
    | ssA(n8,n5) = n7
    | ssA(n8,n6) = n7
    | ssA(n9,n4) = n7
    | ssA(n9,n5) = n7
    | ssA(n9,n6) = n7 )).

fof(ax259,axiom,
    ( ssA(n7,n4) = n8
    | ssA(n7,n5) = n8
    | ssA(n7,n6) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n9,n4) = n8
    | ssA(n9,n5) = n8
    | ssA(n9,n6) = n8 )).

fof(ax260,axiom,
    ( ssA(n7,n4) = n9
    | ssA(n7,n5) = n9
    | ssA(n7,n6) = n9
    | ssA(n8,n4) = n9
    | ssA(n8,n5) = n9
    | ssA(n8,n6) = n9
    | ssA(n9,n4) = n9
    | ssA(n9,n5) = n9
    | ssA(n9,n6) = n9 )).

fof(ax261,axiom,
    ( ssA(n7,n4) != ssA(n7,n5)
    & ssA(n7,n4) != ssA(n7,n6)
    & ssA(n7,n4) != ssA(n8,n4)
    & ssA(n7,n4) != ssA(n8,n5)
    & ssA(n7,n4) != ssA(n8,n6)
    & ssA(n7,n4) != ssA(n9,n4)
    & ssA(n7,n4) != ssA(n9,n5)
    & ssA(n7,n4) != ssA(n9,n6)
    & ssA(n7,n5) != ssA(n7,n6)
    & ssA(n7,n5) != ssA(n8,n4)
    & ssA(n7,n5) != ssA(n8,n5)
    & ssA(n7,n5) != ssA(n8,n6)
    & ssA(n7,n5) != ssA(n9,n4)
    & ssA(n7,n5) != ssA(n9,n5)
    & ssA(n7,n5) != ssA(n9,n6)
    & ssA(n7,n6) != ssA(n8,n4)
    & ssA(n7,n6) != ssA(n8,n5)
    & ssA(n7,n6) != ssA(n8,n6)
    & ssA(n7,n6) != ssA(n9,n4)
    & ssA(n7,n6) != ssA(n9,n5)
    & ssA(n7,n6) != ssA(n9,n6)
    & ssA(n8,n4) != ssA(n8,n5)
    & ssA(n8,n4) != ssA(n8,n6)
    & ssA(n8,n4) != ssA(n9,n4)
    & ssA(n8,n4) != ssA(n9,n5)
    & ssA(n8,n4) != ssA(n9,n6)
    & ssA(n8,n5) != ssA(n8,n6)
    & ssA(n8,n5) != ssA(n9,n4)
    & ssA(n8,n5) != ssA(n9,n5)
    & ssA(n8,n5) != ssA(n9,n6)
    & ssA(n8,n6) != ssA(n9,n4)
    & ssA(n8,n6) != ssA(n9,n5)
    & ssA(n8,n6) != ssA(n9,n6)
    & ssA(n9,n4) != ssA(n9,n5)
    & ssA(n9,n4) != ssA(n9,n6)
    & ssA(n9,n5) != ssA(n9,n6) )).

fof(ax262,axiom,
    ( ssA(n7,n7) = n1
    | ssA(n7,n8) = n1
    | ssA(n7,n9) = n1
    | ssA(n8,n7) = n1
    | ssA(n8,n8) = n1
    | ssA(n8,n9) = n1
    | ssA(n9,n7) = n1
    | ssA(n9,n8) = n1
    | ssA(n9,n9) = n1 )).

fof(ax263,axiom,
    ( ssA(n7,n7) = n2
    | ssA(n7,n8) = n2
    | ssA(n7,n9) = n2
    | ssA(n8,n7) = n2
    | ssA(n8,n8) = n2
    | ssA(n8,n9) = n2
    | ssA(n9,n7) = n2
    | ssA(n9,n8) = n2
    | ssA(n9,n9) = n2 )).

fof(ax264,axiom,
    ( ssA(n7,n7) = n3
    | ssA(n7,n8) = n3
    | ssA(n7,n9) = n3
    | ssA(n8,n7) = n3
    | ssA(n8,n8) = n3
    | ssA(n8,n9) = n3
    | ssA(n9,n7) = n3
    | ssA(n9,n8) = n3
    | ssA(n9,n9) = n3 )).

fof(ax265,axiom,
    ( ssA(n7,n7) = n4
    | ssA(n7,n8) = n4
    | ssA(n7,n9) = n4
    | ssA(n8,n7) = n4
    | ssA(n8,n8) = n4
    | ssA(n8,n9) = n4
    | ssA(n9,n7) = n4
    | ssA(n9,n8) = n4
    | ssA(n9,n9) = n4 )).

fof(ax266,axiom,
    ( ssA(n7,n7) = n5
    | ssA(n7,n8) = n5
    | ssA(n7,n9) = n5
    | ssA(n8,n7) = n5
    | ssA(n8,n8) = n5
    | ssA(n8,n9) = n5
    | ssA(n9,n7) = n5
    | ssA(n9,n8) = n5
    | ssA(n9,n9) = n5 )).

fof(ax267,axiom,
    ( ssA(n7,n7) = n6
    | ssA(n7,n8) = n6
    | ssA(n7,n9) = n6
    | ssA(n8,n7) = n6
    | ssA(n8,n8) = n6
    | ssA(n8,n9) = n6
    | ssA(n9,n7) = n6
    | ssA(n9,n8) = n6
    | ssA(n9,n9) = n6 )).

fof(ax268,axiom,
    ( ssA(n7,n7) = n7
    | ssA(n7,n8) = n7
    | ssA(n7,n9) = n7
    | ssA(n8,n7) = n7
    | ssA(n8,n8) = n7
    | ssA(n8,n9) = n7
    | ssA(n9,n7) = n7
    | ssA(n9,n8) = n7
    | ssA(n9,n9) = n7 )).

fof(ax269,axiom,
    ( ssA(n7,n7) = n8
    | ssA(n7,n8) = n8
    | ssA(n7,n9) = n8
    | ssA(n8,n7) = n8
    | ssA(n8,n8) = n8
    | ssA(n8,n9) = n8
    | ssA(n9,n7) = n8
    | ssA(n9,n8) = n8
    | ssA(n9,n9) = n8 )).

fof(ax270,axiom,
    ( ssA(n7,n7) = n9
    | ssA(n7,n8) = n9
    | ssA(n7,n9) = n9
    | ssA(n8,n7) = n9
    | ssA(n8,n8) = n9
    | ssA(n8,n9) = n9
    | ssA(n9,n7) = n9
    | ssA(n9,n8) = n9
    | ssA(n9,n9) = n9 )).

fof(ax271,axiom,
    ( ssA(n7,n7) != ssA(n7,n8)
    & ssA(n7,n7) != ssA(n7,n9)
    & ssA(n7,n7) != ssA(n8,n7)
    & ssA(n7,n7) != ssA(n8,n8)
    & ssA(n7,n7) != ssA(n8,n9)
    & ssA(n7,n7) != ssA(n9,n7)
    & ssA(n7,n7) != ssA(n9,n8)
    & ssA(n7,n7) != ssA(n9,n9)
    & ssA(n7,n8) != ssA(n7,n9)
    & ssA(n7,n8) != ssA(n8,n7)
    & ssA(n7,n8) != ssA(n8,n8)
    & ssA(n7,n8) != ssA(n8,n9)
    & ssA(n7,n8) != ssA(n9,n7)
    & ssA(n7,n8) != ssA(n9,n8)
    & ssA(n7,n8) != ssA(n9,n9)
    & ssA(n7,n9) != ssA(n8,n7)
    & ssA(n7,n9) != ssA(n8,n8)
    & ssA(n7,n9) != ssA(n8,n9)
    & ssA(n7,n9) != ssA(n9,n7)
    & ssA(n7,n9) != ssA(n9,n8)
    & ssA(n7,n9) != ssA(n9,n9)
    & ssA(n8,n7) != ssA(n8,n8)
    & ssA(n8,n7) != ssA(n8,n9)
    & ssA(n8,n7) != ssA(n9,n7)
    & ssA(n8,n7) != ssA(n9,n8)
    & ssA(n8,n7) != ssA(n9,n9)
    & ssA(n8,n8) != ssA(n8,n9)
    & ssA(n8,n8) != ssA(n9,n7)
    & ssA(n8,n8) != ssA(n9,n8)
    & ssA(n8,n8) != ssA(n9,n9)
    & ssA(n8,n9) != ssA(n9,n7)
    & ssA(n8,n9) != ssA(n9,n8)
    & ssA(n8,n9) != ssA(n9,n9)
    & ssA(n9,n7) != ssA(n9,n8)
    & ssA(n9,n7) != ssA(n9,n9)
    & ssA(n9,n8) != ssA(n9,n9) )).

%----Codomain
fof(ax272,axiom,
    ( ssA(n1,n1) = n1
    | ssA(n1,n1) = n2
    | ssA(n1,n1) = n3
    | ssA(n1,n1) = n4
    | ssA(n1,n1) = n5
    | ssA(n1,n1) = n6
    | ssA(n1,n1) = n7
    | ssA(n1,n1) = n8
    | ssA(n1,n1) = n9 )).

fof(ax273,axiom,
    ( ssA(n1,n2) = n1
    | ssA(n1,n2) = n2
    | ssA(n1,n2) = n3
    | ssA(n1,n2) = n4
    | ssA(n1,n2) = n5
    | ssA(n1,n2) = n6
    | ssA(n1,n2) = n7
    | ssA(n1,n2) = n8
    | ssA(n1,n2) = n9 )).

fof(ax274,axiom,
    ( ssA(n1,n3) = n1
    | ssA(n1,n3) = n2
    | ssA(n1,n3) = n3
    | ssA(n1,n3) = n4
    | ssA(n1,n3) = n5
    | ssA(n1,n3) = n6
    | ssA(n1,n3) = n7
    | ssA(n1,n3) = n8
    | ssA(n1,n3) = n9 )).

fof(ax275,axiom,
    ( ssA(n1,n4) = n1
    | ssA(n1,n4) = n2
    | ssA(n1,n4) = n3
    | ssA(n1,n4) = n4
    | ssA(n1,n4) = n5
    | ssA(n1,n4) = n6
    | ssA(n1,n4) = n7
    | ssA(n1,n4) = n8
    | ssA(n1,n4) = n9 )).

fof(ax276,axiom,
    ( ssA(n1,n5) = n1
    | ssA(n1,n5) = n2
    | ssA(n1,n5) = n3
    | ssA(n1,n5) = n4
    | ssA(n1,n5) = n5
    | ssA(n1,n5) = n6
    | ssA(n1,n5) = n7
    | ssA(n1,n5) = n8
    | ssA(n1,n5) = n9 )).

fof(ax277,axiom,
    ( ssA(n1,n6) = n1
    | ssA(n1,n6) = n2
    | ssA(n1,n6) = n3
    | ssA(n1,n6) = n4
    | ssA(n1,n6) = n5
    | ssA(n1,n6) = n6
    | ssA(n1,n6) = n7
    | ssA(n1,n6) = n8
    | ssA(n1,n6) = n9 )).

fof(ax278,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n1,n7) = n2
    | ssA(n1,n7) = n3
    | ssA(n1,n7) = n4
    | ssA(n1,n7) = n5
    | ssA(n1,n7) = n6
    | ssA(n1,n7) = n7
    | ssA(n1,n7) = n8
    | ssA(n1,n7) = n9 )).

fof(ax279,axiom,
    ( ssA(n1,n8) = n1
    | ssA(n1,n8) = n2
    | ssA(n1,n8) = n3
    | ssA(n1,n8) = n4
    | ssA(n1,n8) = n5
    | ssA(n1,n8) = n6
    | ssA(n1,n8) = n7
    | ssA(n1,n8) = n8
    | ssA(n1,n8) = n9 )).

fof(ax280,axiom,
    ( ssA(n1,n9) = n1
    | ssA(n1,n9) = n2
    | ssA(n1,n9) = n3
    | ssA(n1,n9) = n4
    | ssA(n1,n9) = n5
    | ssA(n1,n9) = n6
    | ssA(n1,n9) = n7
    | ssA(n1,n9) = n8
    | ssA(n1,n9) = n9 )).

fof(ax281,axiom,
    ( ssA(n2,n1) = n1
    | ssA(n2,n1) = n2
    | ssA(n2,n1) = n3
    | ssA(n2,n1) = n4
    | ssA(n2,n1) = n5
    | ssA(n2,n1) = n6
    | ssA(n2,n1) = n7
    | ssA(n2,n1) = n8
    | ssA(n2,n1) = n9 )).

fof(ax282,axiom,
    ( ssA(n2,n2) = n1
    | ssA(n2,n2) = n2
    | ssA(n2,n2) = n3
    | ssA(n2,n2) = n4
    | ssA(n2,n2) = n5
    | ssA(n2,n2) = n6
    | ssA(n2,n2) = n7
    | ssA(n2,n2) = n8
    | ssA(n2,n2) = n9 )).

fof(ax283,axiom,
    ( ssA(n2,n3) = n1
    | ssA(n2,n3) = n2
    | ssA(n2,n3) = n3
    | ssA(n2,n3) = n4
    | ssA(n2,n3) = n5
    | ssA(n2,n3) = n6
    | ssA(n2,n3) = n7
    | ssA(n2,n3) = n8
    | ssA(n2,n3) = n9 )).

fof(ax284,axiom,
    ( ssA(n2,n4) = n1
    | ssA(n2,n4) = n2
    | ssA(n2,n4) = n3
    | ssA(n2,n4) = n4
    | ssA(n2,n4) = n5
    | ssA(n2,n4) = n6
    | ssA(n2,n4) = n7
    | ssA(n2,n4) = n8
    | ssA(n2,n4) = n9 )).

fof(ax285,axiom,
    ( ssA(n2,n5) = n1
    | ssA(n2,n5) = n2
    | ssA(n2,n5) = n3
    | ssA(n2,n5) = n4
    | ssA(n2,n5) = n5
    | ssA(n2,n5) = n6
    | ssA(n2,n5) = n7
    | ssA(n2,n5) = n8
    | ssA(n2,n5) = n9 )).

fof(ax286,axiom,
    ( ssA(n2,n6) = n1
    | ssA(n2,n6) = n2
    | ssA(n2,n6) = n3
    | ssA(n2,n6) = n4
    | ssA(n2,n6) = n5
    | ssA(n2,n6) = n6
    | ssA(n2,n6) = n7
    | ssA(n2,n6) = n8
    | ssA(n2,n6) = n9 )).

fof(ax287,axiom,
    ( ssA(n2,n7) = n1
    | ssA(n2,n7) = n2
    | ssA(n2,n7) = n3
    | ssA(n2,n7) = n4
    | ssA(n2,n7) = n5
    | ssA(n2,n7) = n6
    | ssA(n2,n7) = n7
    | ssA(n2,n7) = n8
    | ssA(n2,n7) = n9 )).

fof(ax288,axiom,
    ( ssA(n2,n8) = n1
    | ssA(n2,n8) = n2
    | ssA(n2,n8) = n3
    | ssA(n2,n8) = n4
    | ssA(n2,n8) = n5
    | ssA(n2,n8) = n6
    | ssA(n2,n8) = n7
    | ssA(n2,n8) = n8
    | ssA(n2,n8) = n9 )).

fof(ax289,axiom,
    ( ssA(n2,n9) = n1
    | ssA(n2,n9) = n2
    | ssA(n2,n9) = n3
    | ssA(n2,n9) = n4
    | ssA(n2,n9) = n5
    | ssA(n2,n9) = n6
    | ssA(n2,n9) = n7
    | ssA(n2,n9) = n8
    | ssA(n2,n9) = n9 )).

fof(ax290,axiom,
    ( ssA(n3,n1) = n1
    | ssA(n3,n1) = n2
    | ssA(n3,n1) = n3
    | ssA(n3,n1) = n4
    | ssA(n3,n1) = n5
    | ssA(n3,n1) = n6
    | ssA(n3,n1) = n7
    | ssA(n3,n1) = n8
    | ssA(n3,n1) = n9 )).

fof(ax291,axiom,
    ( ssA(n3,n2) = n1
    | ssA(n3,n2) = n2
    | ssA(n3,n2) = n3
    | ssA(n3,n2) = n4
    | ssA(n3,n2) = n5
    | ssA(n3,n2) = n6
    | ssA(n3,n2) = n7
    | ssA(n3,n2) = n8
    | ssA(n3,n2) = n9 )).

fof(ax292,axiom,
    ( ssA(n3,n3) = n1
    | ssA(n3,n3) = n2
    | ssA(n3,n3) = n3
    | ssA(n3,n3) = n4
    | ssA(n3,n3) = n5
    | ssA(n3,n3) = n6
    | ssA(n3,n3) = n7
    | ssA(n3,n3) = n8
    | ssA(n3,n3) = n9 )).

fof(ax293,axiom,
    ( ssA(n3,n4) = n1
    | ssA(n3,n4) = n2
    | ssA(n3,n4) = n3
    | ssA(n3,n4) = n4
    | ssA(n3,n4) = n5
    | ssA(n3,n4) = n6
    | ssA(n3,n4) = n7
    | ssA(n3,n4) = n8
    | ssA(n3,n4) = n9 )).

fof(ax294,axiom,
    ( ssA(n3,n5) = n1
    | ssA(n3,n5) = n2
    | ssA(n3,n5) = n3
    | ssA(n3,n5) = n4
    | ssA(n3,n5) = n5
    | ssA(n3,n5) = n6
    | ssA(n3,n5) = n7
    | ssA(n3,n5) = n8
    | ssA(n3,n5) = n9 )).

fof(ax295,axiom,
    ( ssA(n3,n6) = n1
    | ssA(n3,n6) = n2
    | ssA(n3,n6) = n3
    | ssA(n3,n6) = n4
    | ssA(n3,n6) = n5
    | ssA(n3,n6) = n6
    | ssA(n3,n6) = n7
    | ssA(n3,n6) = n8
    | ssA(n3,n6) = n9 )).

fof(ax296,axiom,
    ( ssA(n3,n7) = n1
    | ssA(n3,n7) = n2
    | ssA(n3,n7) = n3
    | ssA(n3,n7) = n4
    | ssA(n3,n7) = n5
    | ssA(n3,n7) = n6
    | ssA(n3,n7) = n7
    | ssA(n3,n7) = n8
    | ssA(n3,n7) = n9 )).

fof(ax297,axiom,
    ( ssA(n3,n8) = n1
    | ssA(n3,n8) = n2
    | ssA(n3,n8) = n3
    | ssA(n3,n8) = n4
    | ssA(n3,n8) = n5
    | ssA(n3,n8) = n6
    | ssA(n3,n8) = n7
    | ssA(n3,n8) = n8
    | ssA(n3,n8) = n9 )).

fof(ax298,axiom,
    ( ssA(n3,n9) = n1
    | ssA(n3,n9) = n2
    | ssA(n3,n9) = n3
    | ssA(n3,n9) = n4
    | ssA(n3,n9) = n5
    | ssA(n3,n9) = n6
    | ssA(n3,n9) = n7
    | ssA(n3,n9) = n8
    | ssA(n3,n9) = n9 )).

fof(ax299,axiom,
    ( ssA(n4,n1) = n1
    | ssA(n4,n1) = n2
    | ssA(n4,n1) = n3
    | ssA(n4,n1) = n4
    | ssA(n4,n1) = n5
    | ssA(n4,n1) = n6
    | ssA(n4,n1) = n7
    | ssA(n4,n1) = n8
    | ssA(n4,n1) = n9 )).

fof(ax300,axiom,
    ( ssA(n4,n2) = n1
    | ssA(n4,n2) = n2
    | ssA(n4,n2) = n3
    | ssA(n4,n2) = n4
    | ssA(n4,n2) = n5
    | ssA(n4,n2) = n6
    | ssA(n4,n2) = n7
    | ssA(n4,n2) = n8
    | ssA(n4,n2) = n9 )).

fof(ax301,axiom,
    ( ssA(n4,n3) = n1
    | ssA(n4,n3) = n2
    | ssA(n4,n3) = n3
    | ssA(n4,n3) = n4
    | ssA(n4,n3) = n5
    | ssA(n4,n3) = n6
    | ssA(n4,n3) = n7
    | ssA(n4,n3) = n8
    | ssA(n4,n3) = n9 )).

fof(ax302,axiom,
    ( ssA(n4,n4) = n1
    | ssA(n4,n4) = n2
    | ssA(n4,n4) = n3
    | ssA(n4,n4) = n4
    | ssA(n4,n4) = n5
    | ssA(n4,n4) = n6
    | ssA(n4,n4) = n7
    | ssA(n4,n4) = n8
    | ssA(n4,n4) = n9 )).

fof(ax303,axiom,
    ( ssA(n4,n5) = n1
    | ssA(n4,n5) = n2
    | ssA(n4,n5) = n3
    | ssA(n4,n5) = n4
    | ssA(n4,n5) = n5
    | ssA(n4,n5) = n6
    | ssA(n4,n5) = n7
    | ssA(n4,n5) = n8
    | ssA(n4,n5) = n9 )).

fof(ax304,axiom,
    ( ssA(n4,n6) = n1
    | ssA(n4,n6) = n2
    | ssA(n4,n6) = n3
    | ssA(n4,n6) = n4
    | ssA(n4,n6) = n5
    | ssA(n4,n6) = n6
    | ssA(n4,n6) = n7
    | ssA(n4,n6) = n8
    | ssA(n4,n6) = n9 )).

fof(ax305,axiom,
    ( ssA(n4,n7) = n1
    | ssA(n4,n7) = n2
    | ssA(n4,n7) = n3
    | ssA(n4,n7) = n4
    | ssA(n4,n7) = n5
    | ssA(n4,n7) = n6
    | ssA(n4,n7) = n7
    | ssA(n4,n7) = n8
    | ssA(n4,n7) = n9 )).

fof(ax306,axiom,
    ( ssA(n4,n8) = n1
    | ssA(n4,n8) = n2
    | ssA(n4,n8) = n3
    | ssA(n4,n8) = n4
    | ssA(n4,n8) = n5
    | ssA(n4,n8) = n6
    | ssA(n4,n8) = n7
    | ssA(n4,n8) = n8
    | ssA(n4,n8) = n9 )).

fof(ax307,axiom,
    ( ssA(n4,n9) = n1
    | ssA(n4,n9) = n2
    | ssA(n4,n9) = n3
    | ssA(n4,n9) = n4
    | ssA(n4,n9) = n5
    | ssA(n4,n9) = n6
    | ssA(n4,n9) = n7
    | ssA(n4,n9) = n8
    | ssA(n4,n9) = n9 )).

fof(ax308,axiom,
    ( ssA(n5,n1) = n1
    | ssA(n5,n1) = n2
    | ssA(n5,n1) = n3
    | ssA(n5,n1) = n4
    | ssA(n5,n1) = n5
    | ssA(n5,n1) = n6
    | ssA(n5,n1) = n7
    | ssA(n5,n1) = n8
    | ssA(n5,n1) = n9 )).

fof(ax309,axiom,
    ( ssA(n5,n2) = n1
    | ssA(n5,n2) = n2
    | ssA(n5,n2) = n3
    | ssA(n5,n2) = n4
    | ssA(n5,n2) = n5
    | ssA(n5,n2) = n6
    | ssA(n5,n2) = n7
    | ssA(n5,n2) = n8
    | ssA(n5,n2) = n9 )).

fof(ax310,axiom,
    ( ssA(n5,n3) = n1
    | ssA(n5,n3) = n2
    | ssA(n5,n3) = n3
    | ssA(n5,n3) = n4
    | ssA(n5,n3) = n5
    | ssA(n5,n3) = n6
    | ssA(n5,n3) = n7
    | ssA(n5,n3) = n8
    | ssA(n5,n3) = n9 )).

fof(ax311,axiom,
    ( ssA(n5,n4) = n1
    | ssA(n5,n4) = n2
    | ssA(n5,n4) = n3
    | ssA(n5,n4) = n4
    | ssA(n5,n4) = n5
    | ssA(n5,n4) = n6
    | ssA(n5,n4) = n7
    | ssA(n5,n4) = n8
    | ssA(n5,n4) = n9 )).

fof(ax312,axiom,
    ( ssA(n5,n5) = n1
    | ssA(n5,n5) = n2
    | ssA(n5,n5) = n3
    | ssA(n5,n5) = n4
    | ssA(n5,n5) = n5
    | ssA(n5,n5) = n6
    | ssA(n5,n5) = n7
    | ssA(n5,n5) = n8
    | ssA(n5,n5) = n9 )).

fof(ax313,axiom,
    ( ssA(n5,n6) = n1
    | ssA(n5,n6) = n2
    | ssA(n5,n6) = n3
    | ssA(n5,n6) = n4
    | ssA(n5,n6) = n5
    | ssA(n5,n6) = n6
    | ssA(n5,n6) = n7
    | ssA(n5,n6) = n8
    | ssA(n5,n6) = n9 )).

fof(ax314,axiom,
    ( ssA(n5,n7) = n1
    | ssA(n5,n7) = n2
    | ssA(n5,n7) = n3
    | ssA(n5,n7) = n4
    | ssA(n5,n7) = n5
    | ssA(n5,n7) = n6
    | ssA(n5,n7) = n7
    | ssA(n5,n7) = n8
    | ssA(n5,n7) = n9 )).

fof(ax315,axiom,
    ( ssA(n5,n8) = n1
    | ssA(n5,n8) = n2
    | ssA(n5,n8) = n3
    | ssA(n5,n8) = n4
    | ssA(n5,n8) = n5
    | ssA(n5,n8) = n6
    | ssA(n5,n8) = n7
    | ssA(n5,n8) = n8
    | ssA(n5,n8) = n9 )).

fof(ax316,axiom,
    ( ssA(n5,n9) = n1
    | ssA(n5,n9) = n2
    | ssA(n5,n9) = n3
    | ssA(n5,n9) = n4
    | ssA(n5,n9) = n5
    | ssA(n5,n9) = n6
    | ssA(n5,n9) = n7
    | ssA(n5,n9) = n8
    | ssA(n5,n9) = n9 )).

fof(ax317,axiom,
    ( ssA(n6,n1) = n1
    | ssA(n6,n1) = n2
    | ssA(n6,n1) = n3
    | ssA(n6,n1) = n4
    | ssA(n6,n1) = n5
    | ssA(n6,n1) = n6
    | ssA(n6,n1) = n7
    | ssA(n6,n1) = n8
    | ssA(n6,n1) = n9 )).

fof(ax318,axiom,
    ( ssA(n6,n2) = n1
    | ssA(n6,n2) = n2
    | ssA(n6,n2) = n3
    | ssA(n6,n2) = n4
    | ssA(n6,n2) = n5
    | ssA(n6,n2) = n6
    | ssA(n6,n2) = n7
    | ssA(n6,n2) = n8
    | ssA(n6,n2) = n9 )).

fof(ax319,axiom,
    ( ssA(n6,n3) = n1
    | ssA(n6,n3) = n2
    | ssA(n6,n3) = n3
    | ssA(n6,n3) = n4
    | ssA(n6,n3) = n5
    | ssA(n6,n3) = n6
    | ssA(n6,n3) = n7
    | ssA(n6,n3) = n8
    | ssA(n6,n3) = n9 )).

fof(ax320,axiom,
    ( ssA(n6,n4) = n1
    | ssA(n6,n4) = n2
    | ssA(n6,n4) = n3
    | ssA(n6,n4) = n4
    | ssA(n6,n4) = n5
    | ssA(n6,n4) = n6
    | ssA(n6,n4) = n7
    | ssA(n6,n4) = n8
    | ssA(n6,n4) = n9 )).

fof(ax321,axiom,
    ( ssA(n6,n5) = n1
    | ssA(n6,n5) = n2
    | ssA(n6,n5) = n3
    | ssA(n6,n5) = n4
    | ssA(n6,n5) = n5
    | ssA(n6,n5) = n6
    | ssA(n6,n5) = n7
    | ssA(n6,n5) = n8
    | ssA(n6,n5) = n9 )).

fof(ax322,axiom,
    ( ssA(n6,n6) = n1
    | ssA(n6,n6) = n2
    | ssA(n6,n6) = n3
    | ssA(n6,n6) = n4
    | ssA(n6,n6) = n5
    | ssA(n6,n6) = n6
    | ssA(n6,n6) = n7
    | ssA(n6,n6) = n8
    | ssA(n6,n6) = n9 )).

fof(ax323,axiom,
    ( ssA(n6,n7) = n1
    | ssA(n6,n7) = n2
    | ssA(n6,n7) = n3
    | ssA(n6,n7) = n4
    | ssA(n6,n7) = n5
    | ssA(n6,n7) = n6
    | ssA(n6,n7) = n7
    | ssA(n6,n7) = n8
    | ssA(n6,n7) = n9 )).

fof(ax324,axiom,
    ( ssA(n6,n8) = n1
    | ssA(n6,n8) = n2
    | ssA(n6,n8) = n3
    | ssA(n6,n8) = n4
    | ssA(n6,n8) = n5
    | ssA(n6,n8) = n6
    | ssA(n6,n8) = n7
    | ssA(n6,n8) = n8
    | ssA(n6,n8) = n9 )).

fof(ax325,axiom,
    ( ssA(n6,n9) = n1
    | ssA(n6,n9) = n2
    | ssA(n6,n9) = n3
    | ssA(n6,n9) = n4
    | ssA(n6,n9) = n5
    | ssA(n6,n9) = n6
    | ssA(n6,n9) = n7
    | ssA(n6,n9) = n8
    | ssA(n6,n9) = n9 )).

fof(ax326,axiom,
    ( ssA(n7,n1) = n1
    | ssA(n7,n1) = n2
    | ssA(n7,n1) = n3
    | ssA(n7,n1) = n4
    | ssA(n7,n1) = n5
    | ssA(n7,n1) = n6
    | ssA(n7,n1) = n7
    | ssA(n7,n1) = n8
    | ssA(n7,n1) = n9 )).

fof(ax327,axiom,
    ( ssA(n7,n2) = n1
    | ssA(n7,n2) = n2
    | ssA(n7,n2) = n3
    | ssA(n7,n2) = n4
    | ssA(n7,n2) = n5
    | ssA(n7,n2) = n6
    | ssA(n7,n2) = n7
    | ssA(n7,n2) = n8
    | ssA(n7,n2) = n9 )).

fof(ax328,axiom,
    ( ssA(n7,n3) = n1
    | ssA(n7,n3) = n2
    | ssA(n7,n3) = n3
    | ssA(n7,n3) = n4
    | ssA(n7,n3) = n5
    | ssA(n7,n3) = n6
    | ssA(n7,n3) = n7
    | ssA(n7,n3) = n8
    | ssA(n7,n3) = n9 )).

fof(ax329,axiom,
    ( ssA(n7,n4) = n1
    | ssA(n7,n4) = n2
    | ssA(n7,n4) = n3
    | ssA(n7,n4) = n4
    | ssA(n7,n4) = n5
    | ssA(n7,n4) = n6
    | ssA(n7,n4) = n7
    | ssA(n7,n4) = n8
    | ssA(n7,n4) = n9 )).

fof(ax330,axiom,
    ( ssA(n7,n5) = n1
    | ssA(n7,n5) = n2
    | ssA(n7,n5) = n3
    | ssA(n7,n5) = n4
    | ssA(n7,n5) = n5
    | ssA(n7,n5) = n6
    | ssA(n7,n5) = n7
    | ssA(n7,n5) = n8
    | ssA(n7,n5) = n9 )).

fof(ax331,axiom,
    ( ssA(n7,n6) = n1
    | ssA(n7,n6) = n2
    | ssA(n7,n6) = n3
    | ssA(n7,n6) = n4
    | ssA(n7,n6) = n5
    | ssA(n7,n6) = n6
    | ssA(n7,n6) = n7
    | ssA(n7,n6) = n8
    | ssA(n7,n6) = n9 )).

fof(ax332,axiom,
    ( ssA(n7,n7) = n1
    | ssA(n7,n7) = n2
    | ssA(n7,n7) = n3
    | ssA(n7,n7) = n4
    | ssA(n7,n7) = n5
    | ssA(n7,n7) = n6
    | ssA(n7,n7) = n7
    | ssA(n7,n7) = n8
    | ssA(n7,n7) = n9 )).

fof(ax333,axiom,
    ( ssA(n7,n8) = n1
    | ssA(n7,n8) = n2
    | ssA(n7,n8) = n3
    | ssA(n7,n8) = n4
    | ssA(n7,n8) = n5
    | ssA(n7,n8) = n6
    | ssA(n7,n8) = n7
    | ssA(n7,n8) = n8
    | ssA(n7,n8) = n9 )).

fof(ax334,axiom,
    ( ssA(n7,n9) = n1
    | ssA(n7,n9) = n2
    | ssA(n7,n9) = n3
    | ssA(n7,n9) = n4
    | ssA(n7,n9) = n5
    | ssA(n7,n9) = n6
    | ssA(n7,n9) = n7
    | ssA(n7,n9) = n8
    | ssA(n7,n9) = n9 )).

fof(ax335,axiom,
    ( ssA(n8,n1) = n1
    | ssA(n8,n1) = n2
    | ssA(n8,n1) = n3
    | ssA(n8,n1) = n4
    | ssA(n8,n1) = n5
    | ssA(n8,n1) = n6
    | ssA(n8,n1) = n7
    | ssA(n8,n1) = n8
    | ssA(n8,n1) = n9 )).

fof(ax336,axiom,
    ( ssA(n8,n2) = n1
    | ssA(n8,n2) = n2
    | ssA(n8,n2) = n3
    | ssA(n8,n2) = n4
    | ssA(n8,n2) = n5
    | ssA(n8,n2) = n6
    | ssA(n8,n2) = n7
    | ssA(n8,n2) = n8
    | ssA(n8,n2) = n9 )).

fof(ax337,axiom,
    ( ssA(n8,n3) = n1
    | ssA(n8,n3) = n2
    | ssA(n8,n3) = n3
    | ssA(n8,n3) = n4
    | ssA(n8,n3) = n5
    | ssA(n8,n3) = n6
    | ssA(n8,n3) = n7
    | ssA(n8,n3) = n8
    | ssA(n8,n3) = n9 )).

fof(ax338,axiom,
    ( ssA(n8,n4) = n1
    | ssA(n8,n4) = n2
    | ssA(n8,n4) = n3
    | ssA(n8,n4) = n4
    | ssA(n8,n4) = n5
    | ssA(n8,n4) = n6
    | ssA(n8,n4) = n7
    | ssA(n8,n4) = n8
    | ssA(n8,n4) = n9 )).

fof(ax339,axiom,
    ( ssA(n8,n5) = n1
    | ssA(n8,n5) = n2
    | ssA(n8,n5) = n3
    | ssA(n8,n5) = n4
    | ssA(n8,n5) = n5
    | ssA(n8,n5) = n6
    | ssA(n8,n5) = n7
    | ssA(n8,n5) = n8
    | ssA(n8,n5) = n9 )).

fof(ax340,axiom,
    ( ssA(n8,n6) = n1
    | ssA(n8,n6) = n2
    | ssA(n8,n6) = n3
    | ssA(n8,n6) = n4
    | ssA(n8,n6) = n5
    | ssA(n8,n6) = n6
    | ssA(n8,n6) = n7
    | ssA(n8,n6) = n8
    | ssA(n8,n6) = n9 )).

fof(ax341,axiom,
    ( ssA(n8,n7) = n1
    | ssA(n8,n7) = n2
    | ssA(n8,n7) = n3
    | ssA(n8,n7) = n4
    | ssA(n8,n7) = n5
    | ssA(n8,n7) = n6
    | ssA(n8,n7) = n7
    | ssA(n8,n7) = n8
    | ssA(n8,n7) = n9 )).

fof(ax342,axiom,
    ( ssA(n8,n8) = n1
    | ssA(n8,n8) = n2
    | ssA(n8,n8) = n3
    | ssA(n8,n8) = n4
    | ssA(n8,n8) = n5
    | ssA(n8,n8) = n6
    | ssA(n8,n8) = n7
    | ssA(n8,n8) = n8
    | ssA(n8,n8) = n9 )).

fof(ax343,axiom,
    ( ssA(n8,n9) = n1
    | ssA(n8,n9) = n2
    | ssA(n8,n9) = n3
    | ssA(n8,n9) = n4
    | ssA(n8,n9) = n5
    | ssA(n8,n9) = n6
    | ssA(n8,n9) = n7
    | ssA(n8,n9) = n8
    | ssA(n8,n9) = n9 )).

fof(ax344,axiom,
    ( ssA(n9,n1) = n1
    | ssA(n9,n1) = n2
    | ssA(n9,n1) = n3
    | ssA(n9,n1) = n4
    | ssA(n9,n1) = n5
    | ssA(n9,n1) = n6
    | ssA(n9,n1) = n7
    | ssA(n9,n1) = n8
    | ssA(n9,n1) = n9 )).

fof(ax345,axiom,
    ( ssA(n9,n2) = n1
    | ssA(n9,n2) = n2
    | ssA(n9,n2) = n3
    | ssA(n9,n2) = n4
    | ssA(n9,n2) = n5
    | ssA(n9,n2) = n6
    | ssA(n9,n2) = n7
    | ssA(n9,n2) = n8
    | ssA(n9,n2) = n9 )).

fof(ax346,axiom,
    ( ssA(n9,n3) = n1
    | ssA(n9,n3) = n2
    | ssA(n9,n3) = n3
    | ssA(n9,n3) = n4
    | ssA(n9,n3) = n5
    | ssA(n9,n3) = n6
    | ssA(n9,n3) = n7
    | ssA(n9,n3) = n8
    | ssA(n9,n3) = n9 )).

fof(ax347,axiom,
    ( ssA(n9,n4) = n1
    | ssA(n9,n4) = n2
    | ssA(n9,n4) = n3
    | ssA(n9,n4) = n4
    | ssA(n9,n4) = n5
    | ssA(n9,n4) = n6
    | ssA(n9,n4) = n7
    | ssA(n9,n4) = n8
    | ssA(n9,n4) = n9 )).

fof(ax348,axiom,
    ( ssA(n9,n5) = n1
    | ssA(n9,n5) = n2
    | ssA(n9,n5) = n3
    | ssA(n9,n5) = n4
    | ssA(n9,n5) = n5
    | ssA(n9,n5) = n6
    | ssA(n9,n5) = n7
    | ssA(n9,n5) = n8
    | ssA(n9,n5) = n9 )).

fof(ax349,axiom,
    ( ssA(n9,n6) = n1
    | ssA(n9,n6) = n2
    | ssA(n9,n6) = n3
    | ssA(n9,n6) = n4
    | ssA(n9,n6) = n5
    | ssA(n9,n6) = n6
    | ssA(n9,n6) = n7
    | ssA(n9,n6) = n8
    | ssA(n9,n6) = n9 )).

fof(ax350,axiom,
    ( ssA(n9,n7) = n1
    | ssA(n9,n7) = n2
    | ssA(n9,n7) = n3
    | ssA(n9,n7) = n4
    | ssA(n9,n7) = n5
    | ssA(n9,n7) = n6
    | ssA(n9,n7) = n7
    | ssA(n9,n7) = n8
    | ssA(n9,n7) = n9 )).

fof(ax351,axiom,
    ( ssA(n9,n8) = n1
    | ssA(n9,n8) = n2
    | ssA(n9,n8) = n3
    | ssA(n9,n8) = n4
    | ssA(n9,n8) = n5
    | ssA(n9,n8) = n6
    | ssA(n9,n8) = n7
    | ssA(n9,n8) = n8
    | ssA(n9,n8) = n9 )).

fof(ax352,axiom,
    ( ssA(n9,n9) = n1
    | ssA(n9,n9) = n2
    | ssA(n9,n9) = n3
    | ssA(n9,n9) = n4
    | ssA(n9,n9) = n5
    | ssA(n9,n9) = n6
    | ssA(n9,n9) = n7
    | ssA(n9,n9) = n8
    | ssA(n9,n9) = n9 )).

%---Output
fof(ax370,axiom,(
    ssP(ssA(n1,n1),ssA(n1,n2),ssA(n1,n3),ssA(n1,n4),ssA(n1,n5),ssA(n1,n6),ssA(n1,n7),ssA(n1,n8),ssA(n1,n9),ssA(n2,n1),ssA(n2,n2),ssA(n2,n3),ssA(n2,n4),ssA(n2,n5),ssA(n2,n6),ssA(n2,n7),ssA(n2,n8),ssA(n2,n9),ssA(n3,n1),ssA(n3,n2),ssA(n3,n3),ssA(n3,n4),ssA(n3,n5),ssA(n3,n6),ssA(n3,n7),ssA(n3,n8),ssA(n3,n9),ssA(n4,n1),ssA(n4,n2),ssA(n4,n3),ssA(n4,n4),ssA(n4,n5),ssA(n4,n6),ssA(n4,n7),ssA(n4,n8),ssA(n4,n9),ssA(n5,n1),ssA(n5,n2),ssA(n5,n3),ssA(n5,n4),ssA(n5,n5),ssA(n5,n6),ssA(n5,n7),ssA(n5,n8),ssA(n5,n9),ssA(n6,n1),ssA(n6,n2),ssA(n6,n3),ssA(n6,n4),ssA(n6,n5),ssA(n6,n6),ssA(n6,n7),ssA(n6,n8),ssA(n6,n9),ssA(n7,n1),ssA(n7,n2),ssA(n7,n3),ssA(n7,n4),ssA(n7,n5),ssA(n7,n6),ssA(n7,n7),ssA(n7,n8),ssA(n7,n9),ssA(n8,n1),ssA(n8,n2),ssA(n8,n3),ssA(n8,n4),ssA(n8,n5),ssA(n8,n6),ssA(n8,n7),ssA(n8,n8),ssA(n8,n9),ssA(n9,n1),ssA(n9,n2),ssA(n9,n3),ssA(n9,n4),ssA(n9,n5),ssA(n9,n6),ssA(n9,n7),ssA(n9,n8),ssA(n9,n9)) )).

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