TPTP Problem File: ALG169+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : ALG169+1 : TPTP v8.2.0. Released v2.7.0.
% Domain : General Algebra
% Problem : Quasigroups 5 QG4: CPROPS-ISO-COMPLETE-PROBLEM-4
% Version : Especial.
% English :
% Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% Source : [Mei03]
% Names :
% Status : Theorem
% Rating : 0.10 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.15 v7.2.0, 0.08 v7.1.0, 0.09 v7.0.0, 0.07 v6.3.0, 0.14 v6.2.0, 0.18 v6.1.0, 0.17 v5.5.0, 0.44 v5.3.0, 0.45 v5.2.0, 0.50 v5.0.0, 0.00 v4.1.0, 0.09 v4.0.1, 0.10 v4.0.0, 0.11 v3.7.0, 0.29 v3.5.0, 0.22 v3.4.0, 0.42 v3.3.0, 0.33 v3.2.0, 0.56 v3.1.0, 0.75 v2.7.0
% Syntax : Number of formulae : 36 ( 0 unt; 0 def)
% Number of atoms : 2201 (2201 equ)
% Maximal formula atoms : 1000 ( 61 avg)
% Number of connectives : 2410 ( 245 ~;1019 |;1146 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 19 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% SPC : FOF_THM_RFO_PEQ
% Comments :
%--------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13
| op1(e10,e10) = e14 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13
| op1(e10,e11) = e14 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13
| op1(e10,e12) = e14 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| op1(e10,e13) = e14 )
& ( op1(e10,e14) = e10
| op1(e10,e14) = e11
| op1(e10,e14) = e12
| op1(e10,e14) = e13
| op1(e10,e14) = e14 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| op1(e11,e10) = e14 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13
| op1(e11,e11) = e14 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| op1(e11,e12) = e14 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| op1(e11,e13) = e14 )
& ( op1(e11,e14) = e10
| op1(e11,e14) = e11
| op1(e11,e14) = e12
| op1(e11,e14) = e13
| op1(e11,e14) = e14 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13
| op1(e12,e10) = e14 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13
| op1(e12,e11) = e14 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13
| op1(e12,e12) = e14 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13
| op1(e12,e13) = e14 )
& ( op1(e12,e14) = e10
| op1(e12,e14) = e11
| op1(e12,e14) = e12
| op1(e12,e14) = e13
| op1(e12,e14) = e14 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13
| op1(e13,e10) = e14 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13
| op1(e13,e11) = e14 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13
| op1(e13,e12) = e14 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13
| op1(e13,e13) = e14 )
& ( op1(e13,e14) = e10
| op1(e13,e14) = e11
| op1(e13,e14) = e12
| op1(e13,e14) = e13
| op1(e13,e14) = e14 )
& ( op1(e14,e10) = e10
| op1(e14,e10) = e11
| op1(e14,e10) = e12
| op1(e14,e10) = e13
| op1(e14,e10) = e14 )
& ( op1(e14,e11) = e10
| op1(e14,e11) = e11
| op1(e14,e11) = e12
| op1(e14,e11) = e13
| op1(e14,e11) = e14 )
& ( op1(e14,e12) = e10
| op1(e14,e12) = e11
| op1(e14,e12) = e12
| op1(e14,e12) = e13
| op1(e14,e12) = e14 )
& ( op1(e14,e13) = e10
| op1(e14,e13) = e11
| op1(e14,e13) = e12
| op1(e14,e13) = e13
| op1(e14,e13) = e14 )
& ( op1(e14,e14) = e10
| op1(e14,e14) = e11
| op1(e14,e14) = e12
| op1(e14,e14) = e13
| op1(e14,e14) = e14 ) ) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10
| op1(e10,e14) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10
| op1(e14,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11
| op1(e10,e14) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11
| op1(e14,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12
| op1(e10,e14) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12
| op1(e14,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13
| op1(e10,e14) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13
| op1(e14,e10) = e13 )
& ( op1(e10,e10) = e14
| op1(e10,e11) = e14
| op1(e10,e12) = e14
| op1(e10,e13) = e14
| op1(e10,e14) = e14 )
& ( op1(e10,e10) = e14
| op1(e11,e10) = e14
| op1(e12,e10) = e14
| op1(e13,e10) = e14
| op1(e14,e10) = e14 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10
| op1(e11,e14) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10
| op1(e14,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11
| op1(e11,e14) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11
| op1(e14,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12
| op1(e11,e14) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12
| op1(e14,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13
| op1(e11,e14) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13
| op1(e14,e11) = e13 )
& ( op1(e11,e10) = e14
| op1(e11,e11) = e14
| op1(e11,e12) = e14
| op1(e11,e13) = e14
| op1(e11,e14) = e14 )
& ( op1(e10,e11) = e14
| op1(e11,e11) = e14
| op1(e12,e11) = e14
| op1(e13,e11) = e14
| op1(e14,e11) = e14 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10
| op1(e12,e14) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10
| op1(e14,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11
| op1(e12,e14) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11
| op1(e14,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12
| op1(e12,e14) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12
| op1(e14,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13
| op1(e12,e14) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13
| op1(e14,e12) = e13 )
& ( op1(e12,e10) = e14
| op1(e12,e11) = e14
| op1(e12,e12) = e14
| op1(e12,e13) = e14
| op1(e12,e14) = e14 )
& ( op1(e10,e12) = e14
| op1(e11,e12) = e14
| op1(e12,e12) = e14
| op1(e13,e12) = e14
| op1(e14,e12) = e14 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10
| op1(e13,e14) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10
| op1(e14,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11
| op1(e13,e14) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11
| op1(e14,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12
| op1(e13,e14) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12
| op1(e14,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13
| op1(e13,e14) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13
| op1(e14,e13) = e13 )
& ( op1(e13,e10) = e14
| op1(e13,e11) = e14
| op1(e13,e12) = e14
| op1(e13,e13) = e14
| op1(e13,e14) = e14 )
& ( op1(e10,e13) = e14
| op1(e11,e13) = e14
| op1(e12,e13) = e14
| op1(e13,e13) = e14
| op1(e14,e13) = e14 )
& ( op1(e14,e10) = e10
| op1(e14,e11) = e10
| op1(e14,e12) = e10
| op1(e14,e13) = e10
| op1(e14,e14) = e10 )
& ( op1(e10,e14) = e10
| op1(e11,e14) = e10
| op1(e12,e14) = e10
| op1(e13,e14) = e10
| op1(e14,e14) = e10 )
& ( op1(e14,e10) = e11
| op1(e14,e11) = e11
| op1(e14,e12) = e11
| op1(e14,e13) = e11
| op1(e14,e14) = e11 )
& ( op1(e10,e14) = e11
| op1(e11,e14) = e11
| op1(e12,e14) = e11
| op1(e13,e14) = e11
| op1(e14,e14) = e11 )
& ( op1(e14,e10) = e12
| op1(e14,e11) = e12
| op1(e14,e12) = e12
| op1(e14,e13) = e12
| op1(e14,e14) = e12 )
& ( op1(e10,e14) = e12
| op1(e11,e14) = e12
| op1(e12,e14) = e12
| op1(e13,e14) = e12
| op1(e14,e14) = e12 )
& ( op1(e14,e10) = e13
| op1(e14,e11) = e13
| op1(e14,e12) = e13
| op1(e14,e13) = e13
| op1(e14,e14) = e13 )
& ( op1(e10,e14) = e13
| op1(e11,e14) = e13
| op1(e12,e14) = e13
| op1(e13,e14) = e13
| op1(e14,e14) = e13 )
& ( op1(e14,e10) = e14
| op1(e14,e11) = e14
| op1(e14,e12) = e14
| op1(e14,e13) = e14
| op1(e14,e14) = e14 )
& ( op1(e10,e14) = e14
| op1(e11,e14) = e14
| op1(e12,e14) = e14
| op1(e13,e14) = e14
| op1(e14,e14) = e14 ) ) ).
fof(ax3,axiom,
( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e10,e11)) = e10
& op1(op1(e12,e10),op1(e10,e12)) = e10
& op1(op1(e13,e10),op1(e10,e13)) = e10
& op1(op1(e14,e10),op1(e10,e14)) = e10
& op1(op1(e10,e11),op1(e11,e10)) = e11
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e11,e12)) = e11
& op1(op1(e13,e11),op1(e11,e13)) = e11
& op1(op1(e14,e11),op1(e11,e14)) = e11
& op1(op1(e10,e12),op1(e12,e10)) = e12
& op1(op1(e11,e12),op1(e12,e11)) = e12
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e12,e13)) = e12
& op1(op1(e14,e12),op1(e12,e14)) = e12
& op1(op1(e10,e13),op1(e13,e10)) = e13
& op1(op1(e11,e13),op1(e13,e11)) = e13
& op1(op1(e12,e13),op1(e13,e12)) = e13
& op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e14,e13),op1(e13,e14)) = e13
& op1(op1(e10,e14),op1(e14,e10)) = e14
& op1(op1(e11,e14),op1(e14,e11)) = e14
& op1(op1(e12,e14),op1(e14,e12)) = e14
& op1(op1(e13,e14),op1(e14,e13)) = e14
& op1(op1(e14,e14),op1(e14,e14)) = e14 ) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23
| op2(e20,e20) = e24 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23
| op2(e20,e21) = e24 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23
| op2(e20,e22) = e24 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| op2(e20,e23) = e24 )
& ( op2(e20,e24) = e20
| op2(e20,e24) = e21
| op2(e20,e24) = e22
| op2(e20,e24) = e23
| op2(e20,e24) = e24 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23
| op2(e21,e20) = e24 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23
| op2(e21,e21) = e24 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23
| op2(e21,e22) = e24 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23
| op2(e21,e23) = e24 )
& ( op2(e21,e24) = e20
| op2(e21,e24) = e21
| op2(e21,e24) = e22
| op2(e21,e24) = e23
| op2(e21,e24) = e24 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23
| op2(e22,e20) = e24 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23
| op2(e22,e21) = e24 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23
| op2(e22,e22) = e24 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23
| op2(e22,e23) = e24 )
& ( op2(e22,e24) = e20
| op2(e22,e24) = e21
| op2(e22,e24) = e22
| op2(e22,e24) = e23
| op2(e22,e24) = e24 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23
| op2(e23,e20) = e24 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23
| op2(e23,e21) = e24 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23
| op2(e23,e22) = e24 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23
| op2(e23,e23) = e24 )
& ( op2(e23,e24) = e20
| op2(e23,e24) = e21
| op2(e23,e24) = e22
| op2(e23,e24) = e23
| op2(e23,e24) = e24 )
& ( op2(e24,e20) = e20
| op2(e24,e20) = e21
| op2(e24,e20) = e22
| op2(e24,e20) = e23
| op2(e24,e20) = e24 )
& ( op2(e24,e21) = e20
| op2(e24,e21) = e21
| op2(e24,e21) = e22
| op2(e24,e21) = e23
| op2(e24,e21) = e24 )
& ( op2(e24,e22) = e20
| op2(e24,e22) = e21
| op2(e24,e22) = e22
| op2(e24,e22) = e23
| op2(e24,e22) = e24 )
& ( op2(e24,e23) = e20
| op2(e24,e23) = e21
| op2(e24,e23) = e22
| op2(e24,e23) = e23
| op2(e24,e23) = e24 )
& ( op2(e24,e24) = e20
| op2(e24,e24) = e21
| op2(e24,e24) = e22
| op2(e24,e24) = e23
| op2(e24,e24) = e24 ) ) ).
fof(ax5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20
| op2(e20,e24) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20
| op2(e24,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21
| op2(e20,e24) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21
| op2(e24,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22
| op2(e20,e24) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22
| op2(e24,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23
| op2(e20,e24) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23
| op2(e24,e20) = e23 )
& ( op2(e20,e20) = e24
| op2(e20,e21) = e24
| op2(e20,e22) = e24
| op2(e20,e23) = e24
| op2(e20,e24) = e24 )
& ( op2(e20,e20) = e24
| op2(e21,e20) = e24
| op2(e22,e20) = e24
| op2(e23,e20) = e24
| op2(e24,e20) = e24 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20
| op2(e21,e24) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20
| op2(e24,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21
| op2(e21,e24) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21
| op2(e24,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22
| op2(e21,e24) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22
| op2(e24,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23
| op2(e21,e24) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23
| op2(e24,e21) = e23 )
& ( op2(e21,e20) = e24
| op2(e21,e21) = e24
| op2(e21,e22) = e24
| op2(e21,e23) = e24
| op2(e21,e24) = e24 )
& ( op2(e20,e21) = e24
| op2(e21,e21) = e24
| op2(e22,e21) = e24
| op2(e23,e21) = e24
| op2(e24,e21) = e24 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20
| op2(e22,e24) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20
| op2(e24,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21
| op2(e22,e24) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21
| op2(e24,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22
| op2(e22,e24) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22
| op2(e24,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23
| op2(e22,e24) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23
| op2(e24,e22) = e23 )
& ( op2(e22,e20) = e24
| op2(e22,e21) = e24
| op2(e22,e22) = e24
| op2(e22,e23) = e24
| op2(e22,e24) = e24 )
& ( op2(e20,e22) = e24
| op2(e21,e22) = e24
| op2(e22,e22) = e24
| op2(e23,e22) = e24
| op2(e24,e22) = e24 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20
| op2(e23,e24) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20
| op2(e24,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21
| op2(e23,e24) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21
| op2(e24,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22
| op2(e23,e24) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22
| op2(e24,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23
| op2(e23,e24) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23
| op2(e24,e23) = e23 )
& ( op2(e23,e20) = e24
| op2(e23,e21) = e24
| op2(e23,e22) = e24
| op2(e23,e23) = e24
| op2(e23,e24) = e24 )
& ( op2(e20,e23) = e24
| op2(e21,e23) = e24
| op2(e22,e23) = e24
| op2(e23,e23) = e24
| op2(e24,e23) = e24 )
& ( op2(e24,e20) = e20
| op2(e24,e21) = e20
| op2(e24,e22) = e20
| op2(e24,e23) = e20
| op2(e24,e24) = e20 )
& ( op2(e20,e24) = e20
| op2(e21,e24) = e20
| op2(e22,e24) = e20
| op2(e23,e24) = e20
| op2(e24,e24) = e20 )
& ( op2(e24,e20) = e21
| op2(e24,e21) = e21
| op2(e24,e22) = e21
| op2(e24,e23) = e21
| op2(e24,e24) = e21 )
& ( op2(e20,e24) = e21
| op2(e21,e24) = e21
| op2(e22,e24) = e21
| op2(e23,e24) = e21
| op2(e24,e24) = e21 )
& ( op2(e24,e20) = e22
| op2(e24,e21) = e22
| op2(e24,e22) = e22
| op2(e24,e23) = e22
| op2(e24,e24) = e22 )
& ( op2(e20,e24) = e22
| op2(e21,e24) = e22
| op2(e22,e24) = e22
| op2(e23,e24) = e22
| op2(e24,e24) = e22 )
& ( op2(e24,e20) = e23
| op2(e24,e21) = e23
| op2(e24,e22) = e23
| op2(e24,e23) = e23
| op2(e24,e24) = e23 )
& ( op2(e20,e24) = e23
| op2(e21,e24) = e23
| op2(e22,e24) = e23
| op2(e23,e24) = e23
| op2(e24,e24) = e23 )
& ( op2(e24,e20) = e24
| op2(e24,e21) = e24
| op2(e24,e22) = e24
| op2(e24,e23) = e24
| op2(e24,e24) = e24 )
& ( op2(e20,e24) = e24
| op2(e21,e24) = e24
| op2(e22,e24) = e24
| op2(e23,e24) = e24
| op2(e24,e24) = e24 ) ) ).
fof(ax6,axiom,
( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e20,e21)) = e20
& op2(op2(e22,e20),op2(e20,e22)) = e20
& op2(op2(e23,e20),op2(e20,e23)) = e20
& op2(op2(e24,e20),op2(e20,e24)) = e20
& op2(op2(e20,e21),op2(e21,e20)) = e21
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e21,e22)) = e21
& op2(op2(e23,e21),op2(e21,e23)) = e21
& op2(op2(e24,e21),op2(e21,e24)) = e21
& op2(op2(e20,e22),op2(e22,e20)) = e22
& op2(op2(e21,e22),op2(e22,e21)) = e22
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e22,e23)) = e22
& op2(op2(e24,e22),op2(e22,e24)) = e22
& op2(op2(e20,e23),op2(e23,e20)) = e23
& op2(op2(e21,e23),op2(e23,e21)) = e23
& op2(op2(e22,e23),op2(e23,e22)) = e23
& op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e24,e23),op2(e23,e24)) = e23
& op2(op2(e20,e24),op2(e24,e20)) = e24
& op2(op2(e21,e24),op2(e24,e21)) = e24
& op2(op2(e22,e24),op2(e24,e22)) = e24
& op2(op2(e23,e24),op2(e24,e23)) = e24
& op2(op2(e24,e24),op2(e24,e24)) = e24 ) ).
fof(ax7,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e14,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e14,e10)
& op1(e13,e10) != op1(e14,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e14,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e14,e11)
& op1(e13,e11) != op1(e14,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e14,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e14,e12)
& op1(e13,e12) != op1(e14,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e14,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e14,e13)
& op1(e13,e13) != op1(e14,e13)
& op1(e10,e14) != op1(e11,e14)
& op1(e10,e14) != op1(e12,e14)
& op1(e10,e14) != op1(e13,e14)
& op1(e10,e14) != op1(e14,e14)
& op1(e11,e14) != op1(e12,e14)
& op1(e11,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e13,e14)
& op1(e12,e14) != op1(e14,e14)
& op1(e13,e14) != op1(e14,e14)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e14)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e14)
& op1(e10,e13) != op1(e10,e14)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e14)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e14)
& op1(e11,e13) != op1(e11,e14)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e14)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e14)
& op1(e12,e13) != op1(e12,e14)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e14)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e14)
& op1(e13,e13) != op1(e13,e14)
& op1(e14,e10) != op1(e14,e11)
& op1(e14,e10) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e13)
& op1(e14,e10) != op1(e14,e14)
& op1(e14,e11) != op1(e14,e12)
& op1(e14,e11) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e13)
& op1(e14,e12) != op1(e14,e14)
& op1(e14,e13) != op1(e14,e14) ) ).
fof(ax8,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e24,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e24,e20)
& op2(e23,e20) != op2(e24,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e24,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e24,e21)
& op2(e23,e21) != op2(e24,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e24,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e24,e22)
& op2(e23,e22) != op2(e24,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e24,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e24,e23)
& op2(e23,e23) != op2(e24,e23)
& op2(e20,e24) != op2(e21,e24)
& op2(e20,e24) != op2(e22,e24)
& op2(e20,e24) != op2(e23,e24)
& op2(e20,e24) != op2(e24,e24)
& op2(e21,e24) != op2(e22,e24)
& op2(e21,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e23,e24)
& op2(e22,e24) != op2(e24,e24)
& op2(e23,e24) != op2(e24,e24)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e24)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e24)
& op2(e20,e23) != op2(e20,e24)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e24)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e24)
& op2(e21,e23) != op2(e21,e24)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e24)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e24)
& op2(e22,e23) != op2(e22,e24)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e24)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e24)
& op2(e23,e23) != op2(e23,e24)
& op2(e24,e20) != op2(e24,e21)
& op2(e24,e20) != op2(e24,e22)
& op2(e24,e20) != op2(e24,e23)
& op2(e24,e20) != op2(e24,e24)
& op2(e24,e21) != op2(e24,e22)
& op2(e24,e21) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e23)
& op2(e24,e22) != op2(e24,e24)
& op2(e24,e23) != op2(e24,e24) ) ).
fof(ax9,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ) ).
fof(ax10,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ) ).
fof(ax11,axiom,
( e10 != e20
& e10 != e21
& e10 != e22
& e10 != e23
& e10 != e24
& e11 != e20
& e11 != e21
& e11 != e22
& e11 != e23
& e11 != e24
& e12 != e20
& e12 != e21
& e12 != e22
& e12 != e23
& e12 != e24
& e13 != e20
& e13 != e21
& e13 != e22
& e13 != e23
& e13 != e24
& e14 != e20
& e14 != e21
& e14 != e22
& e14 != e23
& e14 != e24 ) ).
fof(ax12,axiom,
( op1(op1(e10,e10),e10) = e10
& op1(op1(e10,e11),e11) = e10
& op1(op1(e10,e12),e12) = e10
& op1(op1(e10,e13),e13) = e10
& op1(op1(e10,e14),e14) = e10
& op1(op1(e11,e10),e10) = e11
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e12),e12) = e11
& op1(op1(e11,e13),e13) = e11
& op1(op1(e11,e14),e14) = e11
& op1(op1(e12,e10),e10) = e12
& op1(op1(e12,e11),e11) = e12
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e13),e13) = e12
& op1(op1(e12,e14),e14) = e12
& op1(op1(e13,e10),e10) = e13
& op1(op1(e13,e11),e11) = e13
& op1(op1(e13,e12),e12) = e13
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e14),e14) = e13
& op1(op1(e14,e10),e10) = e14
& op1(op1(e14,e11),e11) = e14
& op1(op1(e14,e12),e12) = e14
& op1(op1(e14,e13),e13) = e14
& op1(op1(e14,e14),e14) = e14 ) ).
fof(ax13,axiom,
( op2(op2(e20,e20),e20) = e20
& op2(op2(e20,e21),e21) = e20
& op2(op2(e20,e22),e22) = e20
& op2(op2(e20,e23),e23) = e20
& op2(op2(e20,e24),e24) = e20
& op2(op2(e21,e20),e20) = e21
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e22),e22) = e21
& op2(op2(e21,e23),e23) = e21
& op2(op2(e21,e24),e24) = e21
& op2(op2(e22,e20),e20) = e22
& op2(op2(e22,e21),e21) = e22
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e23),e23) = e22
& op2(op2(e22,e24),e24) = e22
& op2(op2(e23,e20),e20) = e23
& op2(op2(e23,e21),e21) = e23
& op2(op2(e23,e22),e22) = e23
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e24),e24) = e23
& op2(op2(e24,e20),e20) = e24
& op2(op2(e24,e21),e21) = e24
& op2(op2(e24,e22),e22) = e24
& op2(op2(e24,e23),e23) = e24
& op2(op2(e24,e24),e24) = e24 ) ).
fof(ax14,axiom,
( e10 = op1(e13,e11)
& e12 = op1(e11,op1(e13,e11))
& e14 = op1(op1(e13,e11),op1(e11,op1(e13,e11))) ) ).
fof(ax15,axiom,
( e20 = op2(e23,e21)
& e22 = op2(e21,op2(e23,e21))
& e24 = op2(op2(e23,e21),op2(e21,op2(e23,e21))) ) ).
fof(ax16,axiom,
( h1(e11) = e20
& h1(e13) = e21
& h1(e10) = op2(e21,e20)
& h1(e12) = op2(e20,op2(e21,e20))
& h1(e14) = op2(op2(e21,e20),op2(e20,op2(e21,e20))) ) ).
fof(ax17,axiom,
( h2(e11) = e20
& h2(e13) = e22
& h2(e10) = op2(e22,e20)
& h2(e12) = op2(e20,op2(e22,e20))
& h2(e14) = op2(op2(e22,e20),op2(e20,op2(e22,e20))) ) ).
fof(ax18,axiom,
( h3(e11) = e20
& h3(e13) = e23
& h3(e10) = op2(e23,e20)
& h3(e12) = op2(e20,op2(e23,e20))
& h3(e14) = op2(op2(e23,e20),op2(e20,op2(e23,e20))) ) ).
fof(ax19,axiom,
( h4(e11) = e20
& h4(e13) = e24
& h4(e10) = op2(e24,e20)
& h4(e12) = op2(e20,op2(e24,e20))
& h4(e14) = op2(op2(e24,e20),op2(e20,op2(e24,e20))) ) ).
fof(ax20,axiom,
( h5(e11) = e21
& h5(e13) = e20
& h5(e10) = op2(e20,e21)
& h5(e12) = op2(e21,op2(e20,e21))
& h5(e14) = op2(op2(e20,e21),op2(e21,op2(e20,e21))) ) ).
fof(ax21,axiom,
( h6(e11) = e21
& h6(e13) = e22
& h6(e10) = op2(e22,e21)
& h6(e12) = op2(e21,op2(e22,e21))
& h6(e14) = op2(op2(e22,e21),op2(e21,op2(e22,e21))) ) ).
fof(ax22,axiom,
( h7(e11) = e21
& h7(e13) = e23
& h7(e10) = op2(e23,e21)
& h7(e12) = op2(e21,op2(e23,e21))
& h7(e14) = op2(op2(e23,e21),op2(e21,op2(e23,e21))) ) ).
fof(ax23,axiom,
( h8(e11) = e21
& h8(e13) = e24
& h8(e10) = op2(e24,e21)
& h8(e12) = op2(e21,op2(e24,e21))
& h8(e14) = op2(op2(e24,e21),op2(e21,op2(e24,e21))) ) ).
fof(ax24,axiom,
( h9(e11) = e22
& h9(e13) = e20
& h9(e10) = op2(e20,e22)
& h9(e12) = op2(e22,op2(e20,e22))
& h9(e14) = op2(op2(e20,e22),op2(e22,op2(e20,e22))) ) ).
fof(ax25,axiom,
( h10(e11) = e22
& h10(e13) = e21
& h10(e10) = op2(e21,e22)
& h10(e12) = op2(e22,op2(e21,e22))
& h10(e14) = op2(op2(e21,e22),op2(e22,op2(e21,e22))) ) ).
fof(ax26,axiom,
( h11(e11) = e22
& h11(e13) = e23
& h11(e10) = op2(e23,e22)
& h11(e12) = op2(e22,op2(e23,e22))
& h11(e14) = op2(op2(e23,e22),op2(e22,op2(e23,e22))) ) ).
fof(ax27,axiom,
( h12(e11) = e22
& h12(e13) = e24
& h12(e10) = op2(e24,e22)
& h12(e12) = op2(e22,op2(e24,e22))
& h12(e14) = op2(op2(e24,e22),op2(e22,op2(e24,e22))) ) ).
fof(ax28,axiom,
( h13(e11) = e23
& h13(e13) = e20
& h13(e10) = op2(e20,e23)
& h13(e12) = op2(e23,op2(e20,e23))
& h13(e14) = op2(op2(e20,e23),op2(e23,op2(e20,e23))) ) ).
fof(ax29,axiom,
( h14(e11) = e23
& h14(e13) = e21
& h14(e10) = op2(e21,e23)
& h14(e12) = op2(e23,op2(e21,e23))
& h14(e14) = op2(op2(e21,e23),op2(e23,op2(e21,e23))) ) ).
fof(ax30,axiom,
( h15(e11) = e23
& h15(e13) = e22
& h15(e10) = op2(e22,e23)
& h15(e12) = op2(e23,op2(e22,e23))
& h15(e14) = op2(op2(e22,e23),op2(e23,op2(e22,e23))) ) ).
fof(ax31,axiom,
( h16(e11) = e23
& h16(e13) = e24
& h16(e10) = op2(e24,e23)
& h16(e12) = op2(e23,op2(e24,e23))
& h16(e14) = op2(op2(e24,e23),op2(e23,op2(e24,e23))) ) ).
fof(ax32,axiom,
( h17(e11) = e24
& h17(e13) = e20
& h17(e10) = op2(e20,e24)
& h17(e12) = op2(e24,op2(e20,e24))
& h17(e14) = op2(op2(e20,e24),op2(e24,op2(e20,e24))) ) ).
fof(ax33,axiom,
( h18(e11) = e24
& h18(e13) = e21
& h18(e10) = op2(e21,e24)
& h18(e12) = op2(e24,op2(e21,e24))
& h18(e14) = op2(op2(e21,e24),op2(e24,op2(e21,e24))) ) ).
fof(ax34,axiom,
( h19(e11) = e24
& h19(e13) = e22
& h19(e10) = op2(e22,e24)
& h19(e12) = op2(e24,op2(e22,e24))
& h19(e14) = op2(op2(e22,e24),op2(e24,op2(e22,e24))) ) ).
fof(ax35,axiom,
( h20(e11) = e24
& h20(e13) = e23
& h20(e10) = op2(e23,e24)
& h20(e12) = op2(e24,op2(e23,e24))
& h20(e14) = op2(op2(e23,e24),op2(e24,op2(e23,e24))) ) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e14)) = op2(h1(e10),h1(e14))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e14)) = op2(h1(e11),h1(e14))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e14)) = op2(h1(e12),h1(e14))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20
| h1(e14) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21
| h1(e14) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| h1(e14) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23
| h1(e14) = e23 )
& ( h1(e10) = e24
| h1(e11) = e24
| h1(e12) = e24
| h1(e13) = e24
| h1(e14) = e24 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e14)) = op2(h2(e10),h2(e14))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e14)) = op2(h2(e11),h2(e14))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e14)) = op2(h2(e12),h2(e14))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20
| h2(e14) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21
| h2(e14) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| h2(e14) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23
| h2(e14) = e23 )
& ( h2(e10) = e24
| h2(e11) = e24
| h2(e12) = e24
| h2(e13) = e24
| h2(e14) = e24 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e14)) = op2(h3(e10),h3(e14))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e14)) = op2(h3(e11),h3(e14))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e14)) = op2(h3(e12),h3(e14))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20
| h3(e14) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| h3(e14) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22
| h3(e14) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23
| h3(e14) = e23 )
& ( h3(e10) = e24
| h3(e11) = e24
| h3(e12) = e24
| h3(e13) = e24
| h3(e14) = e24 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e14)) = op2(h4(e10),h4(e14))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e14)) = op2(h4(e11),h4(e14))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e14)) = op2(h4(e12),h4(e14))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13))
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20
| h4(e14) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21
| h4(e14) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22
| h4(e14) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23
| h4(e14) = e23 )
& ( h4(e10) = e24
| h4(e11) = e24
| h4(e12) = e24
| h4(e13) = e24
| h4(e14) = e24 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20
| h5(e14) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21
| h5(e14) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22
| h5(e14) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23
| h5(e14) = e23 )
& ( h5(e10) = e24
| h5(e11) = e24
| h5(e12) = e24
| h5(e13) = e24
| h5(e14) = e24 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e14)) = op2(h6(e10),h6(e14))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e14)) = op2(h6(e11),h6(e14))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e14)) = op2(h6(e12),h6(e14))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e14)) = op2(h6(e13),h6(e14))
& h6(op1(e14,e10)) = op2(h6(e14),h6(e10))
& h6(op1(e14,e11)) = op2(h6(e14),h6(e11))
& h6(op1(e14,e12)) = op2(h6(e14),h6(e12))
& h6(op1(e14,e13)) = op2(h6(e14),h6(e13))
& h6(op1(e14,e14)) = op2(h6(e14),h6(e14))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20
| h6(e14) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21
| h6(e14) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22
| h6(e14) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23
| h6(e14) = e23 )
& ( h6(e10) = e24
| h6(e11) = e24
| h6(e12) = e24
| h6(e13) = e24
| h6(e14) = e24 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e14)) = op2(h7(e10),h7(e14))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e14)) = op2(h7(e11),h7(e14))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e14)) = op2(h7(e12),h7(e14))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e14)) = op2(h7(e13),h7(e14))
& h7(op1(e14,e10)) = op2(h7(e14),h7(e10))
& h7(op1(e14,e11)) = op2(h7(e14),h7(e11))
& h7(op1(e14,e12)) = op2(h7(e14),h7(e12))
& h7(op1(e14,e13)) = op2(h7(e14),h7(e13))
& h7(op1(e14,e14)) = op2(h7(e14),h7(e14))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20
| h7(e14) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21
| h7(e14) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22
| h7(e14) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23
| h7(e14) = e23 )
& ( h7(e10) = e24
| h7(e11) = e24
| h7(e12) = e24
| h7(e13) = e24
| h7(e14) = e24 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e14)) = op2(h8(e10),h8(e14))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e14)) = op2(h8(e11),h8(e14))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e14)) = op2(h8(e12),h8(e14))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e14)) = op2(h8(e13),h8(e14))
& h8(op1(e14,e10)) = op2(h8(e14),h8(e10))
& h8(op1(e14,e11)) = op2(h8(e14),h8(e11))
& h8(op1(e14,e12)) = op2(h8(e14),h8(e12))
& h8(op1(e14,e13)) = op2(h8(e14),h8(e13))
& h8(op1(e14,e14)) = op2(h8(e14),h8(e14))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20
| h8(e14) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21
| h8(e14) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22
| h8(e14) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23
| h8(e14) = e23 )
& ( h8(e10) = e24
| h8(e11) = e24
| h8(e12) = e24
| h8(e13) = e24
| h8(e14) = e24 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e14)) = op2(h9(e10),h9(e14))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e14)) = op2(h9(e11),h9(e14))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e14)) = op2(h9(e12),h9(e14))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e14)) = op2(h9(e13),h9(e14))
& h9(op1(e14,e10)) = op2(h9(e14),h9(e10))
& h9(op1(e14,e11)) = op2(h9(e14),h9(e11))
& h9(op1(e14,e12)) = op2(h9(e14),h9(e12))
& h9(op1(e14,e13)) = op2(h9(e14),h9(e13))
& h9(op1(e14,e14)) = op2(h9(e14),h9(e14))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20
| h9(e14) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21
| h9(e14) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22
| h9(e14) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23
| h9(e14) = e23 )
& ( h9(e10) = e24
| h9(e11) = e24
| h9(e12) = e24
| h9(e13) = e24
| h9(e14) = e24 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e14)) = op2(h10(e10),h10(e14))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e14)) = op2(h10(e11),h10(e14))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e14)) = op2(h10(e12),h10(e14))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e14)) = op2(h10(e13),h10(e14))
& h10(op1(e14,e10)) = op2(h10(e14),h10(e10))
& h10(op1(e14,e11)) = op2(h10(e14),h10(e11))
& h10(op1(e14,e12)) = op2(h10(e14),h10(e12))
& h10(op1(e14,e13)) = op2(h10(e14),h10(e13))
& h10(op1(e14,e14)) = op2(h10(e14),h10(e14))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20
| h10(e14) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21
| h10(e14) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22
| h10(e14) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23
| h10(e14) = e23 )
& ( h10(e10) = e24
| h10(e11) = e24
| h10(e12) = e24
| h10(e13) = e24
| h10(e14) = e24 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e14)) = op2(h11(e10),h11(e14))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e14)) = op2(h11(e11),h11(e14))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e14)) = op2(h11(e12),h11(e14))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e14)) = op2(h11(e13),h11(e14))
& h11(op1(e14,e10)) = op2(h11(e14),h11(e10))
& h11(op1(e14,e11)) = op2(h11(e14),h11(e11))
& h11(op1(e14,e12)) = op2(h11(e14),h11(e12))
& h11(op1(e14,e13)) = op2(h11(e14),h11(e13))
& h11(op1(e14,e14)) = op2(h11(e14),h11(e14))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20
| h11(e14) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21
| h11(e14) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22
| h11(e14) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23
| h11(e14) = e23 )
& ( h11(e10) = e24
| h11(e11) = e24
| h11(e12) = e24
| h11(e13) = e24
| h11(e14) = e24 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e14)) = op2(h12(e10),h12(e14))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e14)) = op2(h12(e11),h12(e14))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e14)) = op2(h12(e12),h12(e14))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e14)) = op2(h12(e13),h12(e14))
& h12(op1(e14,e10)) = op2(h12(e14),h12(e10))
& h12(op1(e14,e11)) = op2(h12(e14),h12(e11))
& h12(op1(e14,e12)) = op2(h12(e14),h12(e12))
& h12(op1(e14,e13)) = op2(h12(e14),h12(e13))
& h12(op1(e14,e14)) = op2(h12(e14),h12(e14))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20
| h12(e14) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21
| h12(e14) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22
| h12(e14) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23
| h12(e14) = e23 )
& ( h12(e10) = e24
| h12(e11) = e24
| h12(e12) = e24
| h12(e13) = e24
| h12(e14) = e24 ) )
| ( h13(op1(e10,e10)) = op2(h13(e10),h13(e10))
& h13(op1(e10,e11)) = op2(h13(e10),h13(e11))
& h13(op1(e10,e12)) = op2(h13(e10),h13(e12))
& h13(op1(e10,e13)) = op2(h13(e10),h13(e13))
& h13(op1(e10,e14)) = op2(h13(e10),h13(e14))
& h13(op1(e11,e10)) = op2(h13(e11),h13(e10))
& h13(op1(e11,e11)) = op2(h13(e11),h13(e11))
& h13(op1(e11,e12)) = op2(h13(e11),h13(e12))
& h13(op1(e11,e13)) = op2(h13(e11),h13(e13))
& h13(op1(e11,e14)) = op2(h13(e11),h13(e14))
& h13(op1(e12,e10)) = op2(h13(e12),h13(e10))
& h13(op1(e12,e11)) = op2(h13(e12),h13(e11))
& h13(op1(e12,e12)) = op2(h13(e12),h13(e12))
& h13(op1(e12,e13)) = op2(h13(e12),h13(e13))
& h13(op1(e12,e14)) = op2(h13(e12),h13(e14))
& h13(op1(e13,e10)) = op2(h13(e13),h13(e10))
& h13(op1(e13,e11)) = op2(h13(e13),h13(e11))
& h13(op1(e13,e12)) = op2(h13(e13),h13(e12))
& h13(op1(e13,e13)) = op2(h13(e13),h13(e13))
& h13(op1(e13,e14)) = op2(h13(e13),h13(e14))
& h13(op1(e14,e10)) = op2(h13(e14),h13(e10))
& h13(op1(e14,e11)) = op2(h13(e14),h13(e11))
& h13(op1(e14,e12)) = op2(h13(e14),h13(e12))
& h13(op1(e14,e13)) = op2(h13(e14),h13(e13))
& h13(op1(e14,e14)) = op2(h13(e14),h13(e14))
& ( h13(e10) = e20
| h13(e11) = e20
| h13(e12) = e20
| h13(e13) = e20
| h13(e14) = e20 )
& ( h13(e10) = e21
| h13(e11) = e21
| h13(e12) = e21
| h13(e13) = e21
| h13(e14) = e21 )
& ( h13(e10) = e22
| h13(e11) = e22
| h13(e12) = e22
| h13(e13) = e22
| h13(e14) = e22 )
& ( h13(e10) = e23
| h13(e11) = e23
| h13(e12) = e23
| h13(e13) = e23
| h13(e14) = e23 )
& ( h13(e10) = e24
| h13(e11) = e24
| h13(e12) = e24
| h13(e13) = e24
| h13(e14) = e24 ) )
| ( h14(op1(e10,e10)) = op2(h14(e10),h14(e10))
& h14(op1(e10,e11)) = op2(h14(e10),h14(e11))
& h14(op1(e10,e12)) = op2(h14(e10),h14(e12))
& h14(op1(e10,e13)) = op2(h14(e10),h14(e13))
& h14(op1(e10,e14)) = op2(h14(e10),h14(e14))
& h14(op1(e11,e10)) = op2(h14(e11),h14(e10))
& h14(op1(e11,e11)) = op2(h14(e11),h14(e11))
& h14(op1(e11,e12)) = op2(h14(e11),h14(e12))
& h14(op1(e11,e13)) = op2(h14(e11),h14(e13))
& h14(op1(e11,e14)) = op2(h14(e11),h14(e14))
& h14(op1(e12,e10)) = op2(h14(e12),h14(e10))
& h14(op1(e12,e11)) = op2(h14(e12),h14(e11))
& h14(op1(e12,e12)) = op2(h14(e12),h14(e12))
& h14(op1(e12,e13)) = op2(h14(e12),h14(e13))
& h14(op1(e12,e14)) = op2(h14(e12),h14(e14))
& h14(op1(e13,e10)) = op2(h14(e13),h14(e10))
& h14(op1(e13,e11)) = op2(h14(e13),h14(e11))
& h14(op1(e13,e12)) = op2(h14(e13),h14(e12))
& h14(op1(e13,e13)) = op2(h14(e13),h14(e13))
& h14(op1(e13,e14)) = op2(h14(e13),h14(e14))
& h14(op1(e14,e10)) = op2(h14(e14),h14(e10))
& h14(op1(e14,e11)) = op2(h14(e14),h14(e11))
& h14(op1(e14,e12)) = op2(h14(e14),h14(e12))
& h14(op1(e14,e13)) = op2(h14(e14),h14(e13))
& h14(op1(e14,e14)) = op2(h14(e14),h14(e14))
& ( h14(e10) = e20
| h14(e11) = e20
| h14(e12) = e20
| h14(e13) = e20
| h14(e14) = e20 )
& ( h14(e10) = e21
| h14(e11) = e21
| h14(e12) = e21
| h14(e13) = e21
| h14(e14) = e21 )
& ( h14(e10) = e22
| h14(e11) = e22
| h14(e12) = e22
| h14(e13) = e22
| h14(e14) = e22 )
& ( h14(e10) = e23
| h14(e11) = e23
| h14(e12) = e23
| h14(e13) = e23
| h14(e14) = e23 )
& ( h14(e10) = e24
| h14(e11) = e24
| h14(e12) = e24
| h14(e13) = e24
| h14(e14) = e24 ) )
| ( h15(op1(e10,e10)) = op2(h15(e10),h15(e10))
& h15(op1(e10,e11)) = op2(h15(e10),h15(e11))
& h15(op1(e10,e12)) = op2(h15(e10),h15(e12))
& h15(op1(e10,e13)) = op2(h15(e10),h15(e13))
& h15(op1(e10,e14)) = op2(h15(e10),h15(e14))
& h15(op1(e11,e10)) = op2(h15(e11),h15(e10))
& h15(op1(e11,e11)) = op2(h15(e11),h15(e11))
& h15(op1(e11,e12)) = op2(h15(e11),h15(e12))
& h15(op1(e11,e13)) = op2(h15(e11),h15(e13))
& h15(op1(e11,e14)) = op2(h15(e11),h15(e14))
& h15(op1(e12,e10)) = op2(h15(e12),h15(e10))
& h15(op1(e12,e11)) = op2(h15(e12),h15(e11))
& h15(op1(e12,e12)) = op2(h15(e12),h15(e12))
& h15(op1(e12,e13)) = op2(h15(e12),h15(e13))
& h15(op1(e12,e14)) = op2(h15(e12),h15(e14))
& h15(op1(e13,e10)) = op2(h15(e13),h15(e10))
& h15(op1(e13,e11)) = op2(h15(e13),h15(e11))
& h15(op1(e13,e12)) = op2(h15(e13),h15(e12))
& h15(op1(e13,e13)) = op2(h15(e13),h15(e13))
& h15(op1(e13,e14)) = op2(h15(e13),h15(e14))
& h15(op1(e14,e10)) = op2(h15(e14),h15(e10))
& h15(op1(e14,e11)) = op2(h15(e14),h15(e11))
& h15(op1(e14,e12)) = op2(h15(e14),h15(e12))
& h15(op1(e14,e13)) = op2(h15(e14),h15(e13))
& h15(op1(e14,e14)) = op2(h15(e14),h15(e14))
& ( h15(e10) = e20
| h15(e11) = e20
| h15(e12) = e20
| h15(e13) = e20
| h15(e14) = e20 )
& ( h15(e10) = e21
| h15(e11) = e21
| h15(e12) = e21
| h15(e13) = e21
| h15(e14) = e21 )
& ( h15(e10) = e22
| h15(e11) = e22
| h15(e12) = e22
| h15(e13) = e22
| h15(e14) = e22 )
& ( h15(e10) = e23
| h15(e11) = e23
| h15(e12) = e23
| h15(e13) = e23
| h15(e14) = e23 )
& ( h15(e10) = e24
| h15(e11) = e24
| h15(e12) = e24
| h15(e13) = e24
| h15(e14) = e24 ) )
| ( h16(op1(e10,e10)) = op2(h16(e10),h16(e10))
& h16(op1(e10,e11)) = op2(h16(e10),h16(e11))
& h16(op1(e10,e12)) = op2(h16(e10),h16(e12))
& h16(op1(e10,e13)) = op2(h16(e10),h16(e13))
& h16(op1(e10,e14)) = op2(h16(e10),h16(e14))
& h16(op1(e11,e10)) = op2(h16(e11),h16(e10))
& h16(op1(e11,e11)) = op2(h16(e11),h16(e11))
& h16(op1(e11,e12)) = op2(h16(e11),h16(e12))
& h16(op1(e11,e13)) = op2(h16(e11),h16(e13))
& h16(op1(e11,e14)) = op2(h16(e11),h16(e14))
& h16(op1(e12,e10)) = op2(h16(e12),h16(e10))
& h16(op1(e12,e11)) = op2(h16(e12),h16(e11))
& h16(op1(e12,e12)) = op2(h16(e12),h16(e12))
& h16(op1(e12,e13)) = op2(h16(e12),h16(e13))
& h16(op1(e12,e14)) = op2(h16(e12),h16(e14))
& h16(op1(e13,e10)) = op2(h16(e13),h16(e10))
& h16(op1(e13,e11)) = op2(h16(e13),h16(e11))
& h16(op1(e13,e12)) = op2(h16(e13),h16(e12))
& h16(op1(e13,e13)) = op2(h16(e13),h16(e13))
& h16(op1(e13,e14)) = op2(h16(e13),h16(e14))
& h16(op1(e14,e10)) = op2(h16(e14),h16(e10))
& h16(op1(e14,e11)) = op2(h16(e14),h16(e11))
& h16(op1(e14,e12)) = op2(h16(e14),h16(e12))
& h16(op1(e14,e13)) = op2(h16(e14),h16(e13))
& h16(op1(e14,e14)) = op2(h16(e14),h16(e14))
& ( h16(e10) = e20
| h16(e11) = e20
| h16(e12) = e20
| h16(e13) = e20
| h16(e14) = e20 )
& ( h16(e10) = e21
| h16(e11) = e21
| h16(e12) = e21
| h16(e13) = e21
| h16(e14) = e21 )
& ( h16(e10) = e22
| h16(e11) = e22
| h16(e12) = e22
| h16(e13) = e22
| h16(e14) = e22 )
& ( h16(e10) = e23
| h16(e11) = e23
| h16(e12) = e23
| h16(e13) = e23
| h16(e14) = e23 )
& ( h16(e10) = e24
| h16(e11) = e24
| h16(e12) = e24
| h16(e13) = e24
| h16(e14) = e24 ) )
| ( h17(op1(e10,e10)) = op2(h17(e10),h17(e10))
& h17(op1(e10,e11)) = op2(h17(e10),h17(e11))
& h17(op1(e10,e12)) = op2(h17(e10),h17(e12))
& h17(op1(e10,e13)) = op2(h17(e10),h17(e13))
& h17(op1(e10,e14)) = op2(h17(e10),h17(e14))
& h17(op1(e11,e10)) = op2(h17(e11),h17(e10))
& h17(op1(e11,e11)) = op2(h17(e11),h17(e11))
& h17(op1(e11,e12)) = op2(h17(e11),h17(e12))
& h17(op1(e11,e13)) = op2(h17(e11),h17(e13))
& h17(op1(e11,e14)) = op2(h17(e11),h17(e14))
& h17(op1(e12,e10)) = op2(h17(e12),h17(e10))
& h17(op1(e12,e11)) = op2(h17(e12),h17(e11))
& h17(op1(e12,e12)) = op2(h17(e12),h17(e12))
& h17(op1(e12,e13)) = op2(h17(e12),h17(e13))
& h17(op1(e12,e14)) = op2(h17(e12),h17(e14))
& h17(op1(e13,e10)) = op2(h17(e13),h17(e10))
& h17(op1(e13,e11)) = op2(h17(e13),h17(e11))
& h17(op1(e13,e12)) = op2(h17(e13),h17(e12))
& h17(op1(e13,e13)) = op2(h17(e13),h17(e13))
& h17(op1(e13,e14)) = op2(h17(e13),h17(e14))
& h17(op1(e14,e10)) = op2(h17(e14),h17(e10))
& h17(op1(e14,e11)) = op2(h17(e14),h17(e11))
& h17(op1(e14,e12)) = op2(h17(e14),h17(e12))
& h17(op1(e14,e13)) = op2(h17(e14),h17(e13))
& h17(op1(e14,e14)) = op2(h17(e14),h17(e14))
& ( h17(e10) = e20
| h17(e11) = e20
| h17(e12) = e20
| h17(e13) = e20
| h17(e14) = e20 )
& ( h17(e10) = e21
| h17(e11) = e21
| h17(e12) = e21
| h17(e13) = e21
| h17(e14) = e21 )
& ( h17(e10) = e22
| h17(e11) = e22
| h17(e12) = e22
| h17(e13) = e22
| h17(e14) = e22 )
& ( h17(e10) = e23
| h17(e11) = e23
| h17(e12) = e23
| h17(e13) = e23
| h17(e14) = e23 )
& ( h17(e10) = e24
| h17(e11) = e24
| h17(e12) = e24
| h17(e13) = e24
| h17(e14) = e24 ) )
| ( h18(op1(e10,e10)) = op2(h18(e10),h18(e10))
& h18(op1(e10,e11)) = op2(h18(e10),h18(e11))
& h18(op1(e10,e12)) = op2(h18(e10),h18(e12))
& h18(op1(e10,e13)) = op2(h18(e10),h18(e13))
& h18(op1(e10,e14)) = op2(h18(e10),h18(e14))
& h18(op1(e11,e10)) = op2(h18(e11),h18(e10))
& h18(op1(e11,e11)) = op2(h18(e11),h18(e11))
& h18(op1(e11,e12)) = op2(h18(e11),h18(e12))
& h18(op1(e11,e13)) = op2(h18(e11),h18(e13))
& h18(op1(e11,e14)) = op2(h18(e11),h18(e14))
& h18(op1(e12,e10)) = op2(h18(e12),h18(e10))
& h18(op1(e12,e11)) = op2(h18(e12),h18(e11))
& h18(op1(e12,e12)) = op2(h18(e12),h18(e12))
& h18(op1(e12,e13)) = op2(h18(e12),h18(e13))
& h18(op1(e12,e14)) = op2(h18(e12),h18(e14))
& h18(op1(e13,e10)) = op2(h18(e13),h18(e10))
& h18(op1(e13,e11)) = op2(h18(e13),h18(e11))
& h18(op1(e13,e12)) = op2(h18(e13),h18(e12))
& h18(op1(e13,e13)) = op2(h18(e13),h18(e13))
& h18(op1(e13,e14)) = op2(h18(e13),h18(e14))
& h18(op1(e14,e10)) = op2(h18(e14),h18(e10))
& h18(op1(e14,e11)) = op2(h18(e14),h18(e11))
& h18(op1(e14,e12)) = op2(h18(e14),h18(e12))
& h18(op1(e14,e13)) = op2(h18(e14),h18(e13))
& h18(op1(e14,e14)) = op2(h18(e14),h18(e14))
& ( h18(e10) = e20
| h18(e11) = e20
| h18(e12) = e20
| h18(e13) = e20
| h18(e14) = e20 )
& ( h18(e10) = e21
| h18(e11) = e21
| h18(e12) = e21
| h18(e13) = e21
| h18(e14) = e21 )
& ( h18(e10) = e22
| h18(e11) = e22
| h18(e12) = e22
| h18(e13) = e22
| h18(e14) = e22 )
& ( h18(e10) = e23
| h18(e11) = e23
| h18(e12) = e23
| h18(e13) = e23
| h18(e14) = e23 )
& ( h18(e10) = e24
| h18(e11) = e24
| h18(e12) = e24
| h18(e13) = e24
| h18(e14) = e24 ) )
| ( h19(op1(e10,e10)) = op2(h19(e10),h19(e10))
& h19(op1(e10,e11)) = op2(h19(e10),h19(e11))
& h19(op1(e10,e12)) = op2(h19(e10),h19(e12))
& h19(op1(e10,e13)) = op2(h19(e10),h19(e13))
& h19(op1(e10,e14)) = op2(h19(e10),h19(e14))
& h19(op1(e11,e10)) = op2(h19(e11),h19(e10))
& h19(op1(e11,e11)) = op2(h19(e11),h19(e11))
& h19(op1(e11,e12)) = op2(h19(e11),h19(e12))
& h19(op1(e11,e13)) = op2(h19(e11),h19(e13))
& h19(op1(e11,e14)) = op2(h19(e11),h19(e14))
& h19(op1(e12,e10)) = op2(h19(e12),h19(e10))
& h19(op1(e12,e11)) = op2(h19(e12),h19(e11))
& h19(op1(e12,e12)) = op2(h19(e12),h19(e12))
& h19(op1(e12,e13)) = op2(h19(e12),h19(e13))
& h19(op1(e12,e14)) = op2(h19(e12),h19(e14))
& h19(op1(e13,e10)) = op2(h19(e13),h19(e10))
& h19(op1(e13,e11)) = op2(h19(e13),h19(e11))
& h19(op1(e13,e12)) = op2(h19(e13),h19(e12))
& h19(op1(e13,e13)) = op2(h19(e13),h19(e13))
& h19(op1(e13,e14)) = op2(h19(e13),h19(e14))
& h19(op1(e14,e10)) = op2(h19(e14),h19(e10))
& h19(op1(e14,e11)) = op2(h19(e14),h19(e11))
& h19(op1(e14,e12)) = op2(h19(e14),h19(e12))
& h19(op1(e14,e13)) = op2(h19(e14),h19(e13))
& h19(op1(e14,e14)) = op2(h19(e14),h19(e14))
& ( h19(e10) = e20
| h19(e11) = e20
| h19(e12) = e20
| h19(e13) = e20
| h19(e14) = e20 )
& ( h19(e10) = e21
| h19(e11) = e21
| h19(e12) = e21
| h19(e13) = e21
| h19(e14) = e21 )
& ( h19(e10) = e22
| h19(e11) = e22
| h19(e12) = e22
| h19(e13) = e22
| h19(e14) = e22 )
& ( h19(e10) = e23
| h19(e11) = e23
| h19(e12) = e23
| h19(e13) = e23
| h19(e14) = e23 )
& ( h19(e10) = e24
| h19(e11) = e24
| h19(e12) = e24
| h19(e13) = e24
| h19(e14) = e24 ) )
| ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10))
& h20(op1(e10,e11)) = op2(h20(e10),h20(e11))
& h20(op1(e10,e12)) = op2(h20(e10),h20(e12))
& h20(op1(e10,e13)) = op2(h20(e10),h20(e13))
& h20(op1(e10,e14)) = op2(h20(e10),h20(e14))
& h20(op1(e11,e10)) = op2(h20(e11),h20(e10))
& h20(op1(e11,e11)) = op2(h20(e11),h20(e11))
& h20(op1(e11,e12)) = op2(h20(e11),h20(e12))
& h20(op1(e11,e13)) = op2(h20(e11),h20(e13))
& h20(op1(e11,e14)) = op2(h20(e11),h20(e14))
& h20(op1(e12,e10)) = op2(h20(e12),h20(e10))
& h20(op1(e12,e11)) = op2(h20(e12),h20(e11))
& h20(op1(e12,e12)) = op2(h20(e12),h20(e12))
& h20(op1(e12,e13)) = op2(h20(e12),h20(e13))
& h20(op1(e12,e14)) = op2(h20(e12),h20(e14))
& h20(op1(e13,e10)) = op2(h20(e13),h20(e10))
& h20(op1(e13,e11)) = op2(h20(e13),h20(e11))
& h20(op1(e13,e12)) = op2(h20(e13),h20(e12))
& h20(op1(e13,e13)) = op2(h20(e13),h20(e13))
& h20(op1(e13,e14)) = op2(h20(e13),h20(e14))
& h20(op1(e14,e10)) = op2(h20(e14),h20(e10))
& h20(op1(e14,e11)) = op2(h20(e14),h20(e11))
& h20(op1(e14,e12)) = op2(h20(e14),h20(e12))
& h20(op1(e14,e13)) = op2(h20(e14),h20(e13))
& h20(op1(e14,e14)) = op2(h20(e14),h20(e14))
& ( h20(e10) = e20
| h20(e11) = e20
| h20(e12) = e20
| h20(e13) = e20
| h20(e14) = e20 )
& ( h20(e10) = e21
| h20(e11) = e21
| h20(e12) = e21
| h20(e13) = e21
| h20(e14) = e21 )
& ( h20(e10) = e22
| h20(e11) = e22
| h20(e12) = e22
| h20(e13) = e22
| h20(e14) = e22 )
& ( h20(e10) = e23
| h20(e11) = e23
| h20(e12) = e23
| h20(e13) = e23
| h20(e14) = e23 )
& ( h20(e10) = e24
| h20(e11) = e24
| h20(e12) = e24
| h20(e13) = e24
| h20(e14) = e24 ) ) ) ).
%--------------------------------------------------------------------------