TPTP Problem File: ALG026+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : ALG026+1 : TPTP v9.0.0. Released v2.7.0.
% Domain : General Algebra
% Problem : Groups 6: CPROPS-ISO-COMPLETE-PROBLEM-1
% 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 : 0.18 v9.0.0, 0.15 v8.2.0, 0.17 v8.1.0, 0.13 v7.5.0, 0.14 v7.4.0, 0.18 v7.3.0, 0.23 v7.2.0, 0.18 v7.0.0, 0.13 v6.4.0, 0.14 v6.2.0, 0.25 v5.5.0, 0.56 v5.3.0, 0.55 v5.2.0, 0.50 v5.0.0, 0.18 v4.0.1, 0.20 v4.0.0, 0.22 v3.7.0, 0.29 v3.5.0, 0.33 v3.4.0, 0.42 v3.3.0, 0.56 v3.2.0, 0.75 v2.7.0
% Syntax : Number of formulae : 32 ( 2 unt; 0 def)
% Number of atoms : 2160 (2160 equ)
% Maximal formula atoms : 432 ( 67 avg)
% Number of connectives : 2584 ( 456 ~; 615 |;1441 &)
% ( 0 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 41 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 24 ( 24 usr; 14 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,e10) = e15 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13
| op1(e10,e11) = e14
| op1(e10,e11) = e15 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13
| op1(e10,e12) = e14
| op1(e10,e12) = e15 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| op1(e10,e13) = e14
| op1(e10,e13) = e15 )
& ( op1(e10,e14) = e10
| op1(e10,e14) = e11
| op1(e10,e14) = e12
| op1(e10,e14) = e13
| op1(e10,e14) = e14
| op1(e10,e14) = e15 )
& ( op1(e10,e15) = e10
| op1(e10,e15) = e11
| op1(e10,e15) = e12
| op1(e10,e15) = e13
| op1(e10,e15) = e14
| op1(e10,e15) = e15 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| op1(e11,e10) = e14
| op1(e11,e10) = e15 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13
| op1(e11,e11) = e14
| op1(e11,e11) = e15 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| op1(e11,e12) = e14
| op1(e11,e12) = e15 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| op1(e11,e13) = e14
| op1(e11,e13) = e15 )
& ( op1(e11,e14) = e10
| op1(e11,e14) = e11
| op1(e11,e14) = e12
| op1(e11,e14) = e13
| op1(e11,e14) = e14
| op1(e11,e14) = e15 )
& ( op1(e11,e15) = e10
| op1(e11,e15) = e11
| op1(e11,e15) = e12
| op1(e11,e15) = e13
| op1(e11,e15) = e14
| op1(e11,e15) = e15 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13
| op1(e12,e10) = e14
| op1(e12,e10) = e15 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13
| op1(e12,e11) = e14
| op1(e12,e11) = e15 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13
| op1(e12,e12) = e14
| op1(e12,e12) = e15 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13
| op1(e12,e13) = e14
| op1(e12,e13) = e15 )
& ( op1(e12,e14) = e10
| op1(e12,e14) = e11
| op1(e12,e14) = e12
| op1(e12,e14) = e13
| op1(e12,e14) = e14
| op1(e12,e14) = e15 )
& ( op1(e12,e15) = e10
| op1(e12,e15) = e11
| op1(e12,e15) = e12
| op1(e12,e15) = e13
| op1(e12,e15) = e14
| op1(e12,e15) = e15 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13
| op1(e13,e10) = e14
| op1(e13,e10) = e15 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13
| op1(e13,e11) = e14
| op1(e13,e11) = e15 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13
| op1(e13,e12) = e14
| op1(e13,e12) = e15 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13
| op1(e13,e13) = e14
| op1(e13,e13) = e15 )
& ( op1(e13,e14) = e10
| op1(e13,e14) = e11
| op1(e13,e14) = e12
| op1(e13,e14) = e13
| op1(e13,e14) = e14
| op1(e13,e14) = e15 )
& ( op1(e13,e15) = e10
| op1(e13,e15) = e11
| op1(e13,e15) = e12
| op1(e13,e15) = e13
| op1(e13,e15) = e14
| op1(e13,e15) = e15 )
& ( op1(e14,e10) = e10
| op1(e14,e10) = e11
| op1(e14,e10) = e12
| op1(e14,e10) = e13
| op1(e14,e10) = e14
| op1(e14,e10) = e15 )
& ( op1(e14,e11) = e10
| op1(e14,e11) = e11
| op1(e14,e11) = e12
| op1(e14,e11) = e13
| op1(e14,e11) = e14
| op1(e14,e11) = e15 )
& ( op1(e14,e12) = e10
| op1(e14,e12) = e11
| op1(e14,e12) = e12
| op1(e14,e12) = e13
| op1(e14,e12) = e14
| op1(e14,e12) = e15 )
& ( op1(e14,e13) = e10
| op1(e14,e13) = e11
| op1(e14,e13) = e12
| op1(e14,e13) = e13
| op1(e14,e13) = e14
| op1(e14,e13) = e15 )
& ( op1(e14,e14) = e10
| op1(e14,e14) = e11
| op1(e14,e14) = e12
| op1(e14,e14) = e13
| op1(e14,e14) = e14
| op1(e14,e14) = e15 )
& ( op1(e14,e15) = e10
| op1(e14,e15) = e11
| op1(e14,e15) = e12
| op1(e14,e15) = e13
| op1(e14,e15) = e14
| op1(e14,e15) = e15 )
& ( op1(e15,e10) = e10
| op1(e15,e10) = e11
| op1(e15,e10) = e12
| op1(e15,e10) = e13
| op1(e15,e10) = e14
| op1(e15,e10) = e15 )
& ( op1(e15,e11) = e10
| op1(e15,e11) = e11
| op1(e15,e11) = e12
| op1(e15,e11) = e13
| op1(e15,e11) = e14
| op1(e15,e11) = e15 )
& ( op1(e15,e12) = e10
| op1(e15,e12) = e11
| op1(e15,e12) = e12
| op1(e15,e12) = e13
| op1(e15,e12) = e14
| op1(e15,e12) = e15 )
& ( op1(e15,e13) = e10
| op1(e15,e13) = e11
| op1(e15,e13) = e12
| op1(e15,e13) = e13
| op1(e15,e13) = e14
| op1(e15,e13) = e15 )
& ( op1(e15,e14) = e10
| op1(e15,e14) = e11
| op1(e15,e14) = e12
| op1(e15,e14) = e13
| op1(e15,e14) = e14
| op1(e15,e14) = e15 )
& ( op1(e15,e15) = e10
| op1(e15,e15) = e11
| op1(e15,e15) = e12
| op1(e15,e15) = e13
| op1(e15,e15) = e14
| op1(e15,e15) = e15 ) ) ).
fof(ax2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e10),e14) = op1(e10,op1(e10,e14))
& op1(op1(e10,e10),e15) = op1(e10,op1(e10,e15))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e11),e14) = op1(e10,op1(e11,e14))
& op1(op1(e10,e11),e15) = op1(e10,op1(e11,e15))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e12),e14) = op1(e10,op1(e12,e14))
& op1(op1(e10,e12),e15) = op1(e10,op1(e12,e15))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e10,e13),e14) = op1(e10,op1(e13,e14))
& op1(op1(e10,e13),e15) = op1(e10,op1(e13,e15))
& op1(op1(e10,e14),e10) = op1(e10,op1(e14,e10))
& op1(op1(e10,e14),e11) = op1(e10,op1(e14,e11))
& op1(op1(e10,e14),e12) = op1(e10,op1(e14,e12))
& op1(op1(e10,e14),e13) = op1(e10,op1(e14,e13))
& op1(op1(e10,e14),e14) = op1(e10,op1(e14,e14))
& op1(op1(e10,e14),e15) = op1(e10,op1(e14,e15))
& op1(op1(e10,e15),e10) = op1(e10,op1(e15,e10))
& op1(op1(e10,e15),e11) = op1(e10,op1(e15,e11))
& op1(op1(e10,e15),e12) = op1(e10,op1(e15,e12))
& op1(op1(e10,e15),e13) = op1(e10,op1(e15,e13))
& op1(op1(e10,e15),e14) = op1(e10,op1(e15,e14))
& op1(op1(e10,e15),e15) = op1(e10,op1(e15,e15))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e10),e14) = op1(e11,op1(e10,e14))
& op1(op1(e11,e10),e15) = op1(e11,op1(e10,e15))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e11),e14) = op1(e11,op1(e11,e14))
& op1(op1(e11,e11),e15) = op1(e11,op1(e11,e15))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e12),e14) = op1(e11,op1(e12,e14))
& op1(op1(e11,e12),e15) = op1(e11,op1(e12,e15))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e11,e13),e14) = op1(e11,op1(e13,e14))
& op1(op1(e11,e13),e15) = op1(e11,op1(e13,e15))
& op1(op1(e11,e14),e10) = op1(e11,op1(e14,e10))
& op1(op1(e11,e14),e11) = op1(e11,op1(e14,e11))
& op1(op1(e11,e14),e12) = op1(e11,op1(e14,e12))
& op1(op1(e11,e14),e13) = op1(e11,op1(e14,e13))
& op1(op1(e11,e14),e14) = op1(e11,op1(e14,e14))
& op1(op1(e11,e14),e15) = op1(e11,op1(e14,e15))
& op1(op1(e11,e15),e10) = op1(e11,op1(e15,e10))
& op1(op1(e11,e15),e11) = op1(e11,op1(e15,e11))
& op1(op1(e11,e15),e12) = op1(e11,op1(e15,e12))
& op1(op1(e11,e15),e13) = op1(e11,op1(e15,e13))
& op1(op1(e11,e15),e14) = op1(e11,op1(e15,e14))
& op1(op1(e11,e15),e15) = op1(e11,op1(e15,e15))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e10),e14) = op1(e12,op1(e10,e14))
& op1(op1(e12,e10),e15) = op1(e12,op1(e10,e15))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e11),e14) = op1(e12,op1(e11,e14))
& op1(op1(e12,e11),e15) = op1(e12,op1(e11,e15))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e12),e14) = op1(e12,op1(e12,e14))
& op1(op1(e12,e12),e15) = op1(e12,op1(e12,e15))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e12,e13),e14) = op1(e12,op1(e13,e14))
& op1(op1(e12,e13),e15) = op1(e12,op1(e13,e15))
& op1(op1(e12,e14),e10) = op1(e12,op1(e14,e10))
& op1(op1(e12,e14),e11) = op1(e12,op1(e14,e11))
& op1(op1(e12,e14),e12) = op1(e12,op1(e14,e12))
& op1(op1(e12,e14),e13) = op1(e12,op1(e14,e13))
& op1(op1(e12,e14),e14) = op1(e12,op1(e14,e14))
& op1(op1(e12,e14),e15) = op1(e12,op1(e14,e15))
& op1(op1(e12,e15),e10) = op1(e12,op1(e15,e10))
& op1(op1(e12,e15),e11) = op1(e12,op1(e15,e11))
& op1(op1(e12,e15),e12) = op1(e12,op1(e15,e12))
& op1(op1(e12,e15),e13) = op1(e12,op1(e15,e13))
& op1(op1(e12,e15),e14) = op1(e12,op1(e15,e14))
& op1(op1(e12,e15),e15) = op1(e12,op1(e15,e15))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e10),e14) = op1(e13,op1(e10,e14))
& op1(op1(e13,e10),e15) = op1(e13,op1(e10,e15))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e11),e14) = op1(e13,op1(e11,e14))
& op1(op1(e13,e11),e15) = op1(e13,op1(e11,e15))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e12),e14) = op1(e13,op1(e12,e14))
& op1(op1(e13,e12),e15) = op1(e13,op1(e12,e15))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13))
& op1(op1(e13,e13),e14) = op1(e13,op1(e13,e14))
& op1(op1(e13,e13),e15) = op1(e13,op1(e13,e15))
& op1(op1(e13,e14),e10) = op1(e13,op1(e14,e10))
& op1(op1(e13,e14),e11) = op1(e13,op1(e14,e11))
& op1(op1(e13,e14),e12) = op1(e13,op1(e14,e12))
& op1(op1(e13,e14),e13) = op1(e13,op1(e14,e13))
& op1(op1(e13,e14),e14) = op1(e13,op1(e14,e14))
& op1(op1(e13,e14),e15) = op1(e13,op1(e14,e15))
& op1(op1(e13,e15),e10) = op1(e13,op1(e15,e10))
& op1(op1(e13,e15),e11) = op1(e13,op1(e15,e11))
& op1(op1(e13,e15),e12) = op1(e13,op1(e15,e12))
& op1(op1(e13,e15),e13) = op1(e13,op1(e15,e13))
& op1(op1(e13,e15),e14) = op1(e13,op1(e15,e14))
& op1(op1(e13,e15),e15) = op1(e13,op1(e15,e15))
& op1(op1(e14,e10),e10) = op1(e14,op1(e10,e10))
& op1(op1(e14,e10),e11) = op1(e14,op1(e10,e11))
& op1(op1(e14,e10),e12) = op1(e14,op1(e10,e12))
& op1(op1(e14,e10),e13) = op1(e14,op1(e10,e13))
& op1(op1(e14,e10),e14) = op1(e14,op1(e10,e14))
& op1(op1(e14,e10),e15) = op1(e14,op1(e10,e15))
& op1(op1(e14,e11),e10) = op1(e14,op1(e11,e10))
& op1(op1(e14,e11),e11) = op1(e14,op1(e11,e11))
& op1(op1(e14,e11),e12) = op1(e14,op1(e11,e12))
& op1(op1(e14,e11),e13) = op1(e14,op1(e11,e13))
& op1(op1(e14,e11),e14) = op1(e14,op1(e11,e14))
& op1(op1(e14,e11),e15) = op1(e14,op1(e11,e15))
& op1(op1(e14,e12),e10) = op1(e14,op1(e12,e10))
& op1(op1(e14,e12),e11) = op1(e14,op1(e12,e11))
& op1(op1(e14,e12),e12) = op1(e14,op1(e12,e12))
& op1(op1(e14,e12),e13) = op1(e14,op1(e12,e13))
& op1(op1(e14,e12),e14) = op1(e14,op1(e12,e14))
& op1(op1(e14,e12),e15) = op1(e14,op1(e12,e15))
& op1(op1(e14,e13),e10) = op1(e14,op1(e13,e10))
& op1(op1(e14,e13),e11) = op1(e14,op1(e13,e11))
& op1(op1(e14,e13),e12) = op1(e14,op1(e13,e12))
& op1(op1(e14,e13),e13) = op1(e14,op1(e13,e13))
& op1(op1(e14,e13),e14) = op1(e14,op1(e13,e14))
& op1(op1(e14,e13),e15) = op1(e14,op1(e13,e15))
& op1(op1(e14,e14),e10) = op1(e14,op1(e14,e10))
& op1(op1(e14,e14),e11) = op1(e14,op1(e14,e11))
& op1(op1(e14,e14),e12) = op1(e14,op1(e14,e12))
& op1(op1(e14,e14),e13) = op1(e14,op1(e14,e13))
& op1(op1(e14,e14),e14) = op1(e14,op1(e14,e14))
& op1(op1(e14,e14),e15) = op1(e14,op1(e14,e15))
& op1(op1(e14,e15),e10) = op1(e14,op1(e15,e10))
& op1(op1(e14,e15),e11) = op1(e14,op1(e15,e11))
& op1(op1(e14,e15),e12) = op1(e14,op1(e15,e12))
& op1(op1(e14,e15),e13) = op1(e14,op1(e15,e13))
& op1(op1(e14,e15),e14) = op1(e14,op1(e15,e14))
& op1(op1(e14,e15),e15) = op1(e14,op1(e15,e15))
& op1(op1(e15,e10),e10) = op1(e15,op1(e10,e10))
& op1(op1(e15,e10),e11) = op1(e15,op1(e10,e11))
& op1(op1(e15,e10),e12) = op1(e15,op1(e10,e12))
& op1(op1(e15,e10),e13) = op1(e15,op1(e10,e13))
& op1(op1(e15,e10),e14) = op1(e15,op1(e10,e14))
& op1(op1(e15,e10),e15) = op1(e15,op1(e10,e15))
& op1(op1(e15,e11),e10) = op1(e15,op1(e11,e10))
& op1(op1(e15,e11),e11) = op1(e15,op1(e11,e11))
& op1(op1(e15,e11),e12) = op1(e15,op1(e11,e12))
& op1(op1(e15,e11),e13) = op1(e15,op1(e11,e13))
& op1(op1(e15,e11),e14) = op1(e15,op1(e11,e14))
& op1(op1(e15,e11),e15) = op1(e15,op1(e11,e15))
& op1(op1(e15,e12),e10) = op1(e15,op1(e12,e10))
& op1(op1(e15,e12),e11) = op1(e15,op1(e12,e11))
& op1(op1(e15,e12),e12) = op1(e15,op1(e12,e12))
& op1(op1(e15,e12),e13) = op1(e15,op1(e12,e13))
& op1(op1(e15,e12),e14) = op1(e15,op1(e12,e14))
& op1(op1(e15,e12),e15) = op1(e15,op1(e12,e15))
& op1(op1(e15,e13),e10) = op1(e15,op1(e13,e10))
& op1(op1(e15,e13),e11) = op1(e15,op1(e13,e11))
& op1(op1(e15,e13),e12) = op1(e15,op1(e13,e12))
& op1(op1(e15,e13),e13) = op1(e15,op1(e13,e13))
& op1(op1(e15,e13),e14) = op1(e15,op1(e13,e14))
& op1(op1(e15,e13),e15) = op1(e15,op1(e13,e15))
& op1(op1(e15,e14),e10) = op1(e15,op1(e14,e10))
& op1(op1(e15,e14),e11) = op1(e15,op1(e14,e11))
& op1(op1(e15,e14),e12) = op1(e15,op1(e14,e12))
& op1(op1(e15,e14),e13) = op1(e15,op1(e14,e13))
& op1(op1(e15,e14),e14) = op1(e15,op1(e14,e14))
& op1(op1(e15,e14),e15) = op1(e15,op1(e14,e15))
& op1(op1(e15,e15),e10) = op1(e15,op1(e15,e10))
& op1(op1(e15,e15),e11) = op1(e15,op1(e15,e11))
& op1(op1(e15,e15),e12) = op1(e15,op1(e15,e12))
& op1(op1(e15,e15),e13) = op1(e15,op1(e15,e13))
& op1(op1(e15,e15),e14) = op1(e15,op1(e15,e14))
& op1(op1(e15,e15),e15) = op1(e15,op1(e15,e15)) ) ).
fof(ax3,axiom,
( op1(unit1,e10) = e10
& op1(e10,unit1) = e10
& op1(unit1,e11) = e11
& op1(e11,unit1) = e11
& op1(unit1,e12) = e12
& op1(e12,unit1) = e12
& op1(unit1,e13) = e13
& op1(e13,unit1) = e13
& op1(unit1,e14) = e14
& op1(e14,unit1) = e14
& op1(unit1,e15) = e15
& op1(e15,unit1) = e15
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13
| unit1 = e14
| unit1 = e15 ) ) ).
fof(ax4,axiom,
( op1(e10,inv1(e10)) = unit1
& op1(inv1(e10),e10) = unit1
& op1(e11,inv1(e11)) = unit1
& op1(inv1(e11),e11) = unit1
& op1(e12,inv1(e12)) = unit1
& op1(inv1(e12),e12) = unit1
& op1(e13,inv1(e13)) = unit1
& op1(inv1(e13),e13) = unit1
& op1(e14,inv1(e14)) = unit1
& op1(inv1(e14),e14) = unit1
& op1(e15,inv1(e15)) = unit1
& op1(inv1(e15),e15) = unit1
& ( inv1(e10) = e10
| inv1(e10) = e11
| inv1(e10) = e12
| inv1(e10) = e13
| inv1(e10) = e14
| inv1(e10) = e15 )
& ( inv1(e11) = e10
| inv1(e11) = e11
| inv1(e11) = e12
| inv1(e11) = e13
| inv1(e11) = e14
| inv1(e11) = e15 )
& ( inv1(e12) = e10
| inv1(e12) = e11
| inv1(e12) = e12
| inv1(e12) = e13
| inv1(e12) = e14
| inv1(e12) = e15 )
& ( inv1(e13) = e10
| inv1(e13) = e11
| inv1(e13) = e12
| inv1(e13) = e13
| inv1(e13) = e14
| inv1(e13) = e15 )
& ( inv1(e14) = e10
| inv1(e14) = e11
| inv1(e14) = e12
| inv1(e14) = e13
| inv1(e14) = e14
| inv1(e14) = e15 )
& ( inv1(e15) = e10
| inv1(e15) = e11
| inv1(e15) = e12
| inv1(e15) = e13
| inv1(e15) = e14
| inv1(e15) = e15 ) ) ).
fof(ax5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23
| op2(e20,e20) = e24
| op2(e20,e20) = e25 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23
| op2(e20,e21) = e24
| op2(e20,e21) = e25 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23
| op2(e20,e22) = e24
| op2(e20,e22) = e25 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| op2(e20,e23) = e24
| op2(e20,e23) = e25 )
& ( op2(e20,e24) = e20
| op2(e20,e24) = e21
| op2(e20,e24) = e22
| op2(e20,e24) = e23
| op2(e20,e24) = e24
| op2(e20,e24) = e25 )
& ( op2(e20,e25) = e20
| op2(e20,e25) = e21
| op2(e20,e25) = e22
| op2(e20,e25) = e23
| op2(e20,e25) = e24
| op2(e20,e25) = e25 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23
| op2(e21,e20) = e24
| op2(e21,e20) = e25 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23
| op2(e21,e21) = e24
| op2(e21,e21) = e25 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23
| op2(e21,e22) = e24
| op2(e21,e22) = e25 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23
| op2(e21,e23) = e24
| op2(e21,e23) = e25 )
& ( op2(e21,e24) = e20
| op2(e21,e24) = e21
| op2(e21,e24) = e22
| op2(e21,e24) = e23
| op2(e21,e24) = e24
| op2(e21,e24) = e25 )
& ( op2(e21,e25) = e20
| op2(e21,e25) = e21
| op2(e21,e25) = e22
| op2(e21,e25) = e23
| op2(e21,e25) = e24
| op2(e21,e25) = e25 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23
| op2(e22,e20) = e24
| op2(e22,e20) = e25 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23
| op2(e22,e21) = e24
| op2(e22,e21) = e25 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23
| op2(e22,e22) = e24
| op2(e22,e22) = e25 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23
| op2(e22,e23) = e24
| op2(e22,e23) = e25 )
& ( op2(e22,e24) = e20
| op2(e22,e24) = e21
| op2(e22,e24) = e22
| op2(e22,e24) = e23
| op2(e22,e24) = e24
| op2(e22,e24) = e25 )
& ( op2(e22,e25) = e20
| op2(e22,e25) = e21
| op2(e22,e25) = e22
| op2(e22,e25) = e23
| op2(e22,e25) = e24
| op2(e22,e25) = e25 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23
| op2(e23,e20) = e24
| op2(e23,e20) = e25 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23
| op2(e23,e21) = e24
| op2(e23,e21) = e25 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23
| op2(e23,e22) = e24
| op2(e23,e22) = e25 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23
| op2(e23,e23) = e24
| op2(e23,e23) = e25 )
& ( op2(e23,e24) = e20
| op2(e23,e24) = e21
| op2(e23,e24) = e22
| op2(e23,e24) = e23
| op2(e23,e24) = e24
| op2(e23,e24) = e25 )
& ( op2(e23,e25) = e20
| op2(e23,e25) = e21
| op2(e23,e25) = e22
| op2(e23,e25) = e23
| op2(e23,e25) = e24
| op2(e23,e25) = e25 )
& ( op2(e24,e20) = e20
| op2(e24,e20) = e21
| op2(e24,e20) = e22
| op2(e24,e20) = e23
| op2(e24,e20) = e24
| op2(e24,e20) = e25 )
& ( op2(e24,e21) = e20
| op2(e24,e21) = e21
| op2(e24,e21) = e22
| op2(e24,e21) = e23
| op2(e24,e21) = e24
| op2(e24,e21) = e25 )
& ( op2(e24,e22) = e20
| op2(e24,e22) = e21
| op2(e24,e22) = e22
| op2(e24,e22) = e23
| op2(e24,e22) = e24
| op2(e24,e22) = e25 )
& ( op2(e24,e23) = e20
| op2(e24,e23) = e21
| op2(e24,e23) = e22
| op2(e24,e23) = e23
| op2(e24,e23) = e24
| op2(e24,e23) = e25 )
& ( op2(e24,e24) = e20
| op2(e24,e24) = e21
| op2(e24,e24) = e22
| op2(e24,e24) = e23
| op2(e24,e24) = e24
| op2(e24,e24) = e25 )
& ( op2(e24,e25) = e20
| op2(e24,e25) = e21
| op2(e24,e25) = e22
| op2(e24,e25) = e23
| op2(e24,e25) = e24
| op2(e24,e25) = e25 )
& ( op2(e25,e20) = e20
| op2(e25,e20) = e21
| op2(e25,e20) = e22
| op2(e25,e20) = e23
| op2(e25,e20) = e24
| op2(e25,e20) = e25 )
& ( op2(e25,e21) = e20
| op2(e25,e21) = e21
| op2(e25,e21) = e22
| op2(e25,e21) = e23
| op2(e25,e21) = e24
| op2(e25,e21) = e25 )
& ( op2(e25,e22) = e20
| op2(e25,e22) = e21
| op2(e25,e22) = e22
| op2(e25,e22) = e23
| op2(e25,e22) = e24
| op2(e25,e22) = e25 )
& ( op2(e25,e23) = e20
| op2(e25,e23) = e21
| op2(e25,e23) = e22
| op2(e25,e23) = e23
| op2(e25,e23) = e24
| op2(e25,e23) = e25 )
& ( op2(e25,e24) = e20
| op2(e25,e24) = e21
| op2(e25,e24) = e22
| op2(e25,e24) = e23
| op2(e25,e24) = e24
| op2(e25,e24) = e25 )
& ( op2(e25,e25) = e20
| op2(e25,e25) = e21
| op2(e25,e25) = e22
| op2(e25,e25) = e23
| op2(e25,e25) = e24
| op2(e25,e25) = e25 ) ) ).
fof(ax6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e20),e24) = op2(e20,op2(e20,e24))
& op2(op2(e20,e20),e25) = op2(e20,op2(e20,e25))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e21),e24) = op2(e20,op2(e21,e24))
& op2(op2(e20,e21),e25) = op2(e20,op2(e21,e25))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e22),e24) = op2(e20,op2(e22,e24))
& op2(op2(e20,e22),e25) = op2(e20,op2(e22,e25))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e20,e23),e24) = op2(e20,op2(e23,e24))
& op2(op2(e20,e23),e25) = op2(e20,op2(e23,e25))
& op2(op2(e20,e24),e20) = op2(e20,op2(e24,e20))
& op2(op2(e20,e24),e21) = op2(e20,op2(e24,e21))
& op2(op2(e20,e24),e22) = op2(e20,op2(e24,e22))
& op2(op2(e20,e24),e23) = op2(e20,op2(e24,e23))
& op2(op2(e20,e24),e24) = op2(e20,op2(e24,e24))
& op2(op2(e20,e24),e25) = op2(e20,op2(e24,e25))
& op2(op2(e20,e25),e20) = op2(e20,op2(e25,e20))
& op2(op2(e20,e25),e21) = op2(e20,op2(e25,e21))
& op2(op2(e20,e25),e22) = op2(e20,op2(e25,e22))
& op2(op2(e20,e25),e23) = op2(e20,op2(e25,e23))
& op2(op2(e20,e25),e24) = op2(e20,op2(e25,e24))
& op2(op2(e20,e25),e25) = op2(e20,op2(e25,e25))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e20),e24) = op2(e21,op2(e20,e24))
& op2(op2(e21,e20),e25) = op2(e21,op2(e20,e25))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e21),e24) = op2(e21,op2(e21,e24))
& op2(op2(e21,e21),e25) = op2(e21,op2(e21,e25))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e22),e24) = op2(e21,op2(e22,e24))
& op2(op2(e21,e22),e25) = op2(e21,op2(e22,e25))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e21,e23),e24) = op2(e21,op2(e23,e24))
& op2(op2(e21,e23),e25) = op2(e21,op2(e23,e25))
& op2(op2(e21,e24),e20) = op2(e21,op2(e24,e20))
& op2(op2(e21,e24),e21) = op2(e21,op2(e24,e21))
& op2(op2(e21,e24),e22) = op2(e21,op2(e24,e22))
& op2(op2(e21,e24),e23) = op2(e21,op2(e24,e23))
& op2(op2(e21,e24),e24) = op2(e21,op2(e24,e24))
& op2(op2(e21,e24),e25) = op2(e21,op2(e24,e25))
& op2(op2(e21,e25),e20) = op2(e21,op2(e25,e20))
& op2(op2(e21,e25),e21) = op2(e21,op2(e25,e21))
& op2(op2(e21,e25),e22) = op2(e21,op2(e25,e22))
& op2(op2(e21,e25),e23) = op2(e21,op2(e25,e23))
& op2(op2(e21,e25),e24) = op2(e21,op2(e25,e24))
& op2(op2(e21,e25),e25) = op2(e21,op2(e25,e25))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e20),e24) = op2(e22,op2(e20,e24))
& op2(op2(e22,e20),e25) = op2(e22,op2(e20,e25))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e21),e24) = op2(e22,op2(e21,e24))
& op2(op2(e22,e21),e25) = op2(e22,op2(e21,e25))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e22),e24) = op2(e22,op2(e22,e24))
& op2(op2(e22,e22),e25) = op2(e22,op2(e22,e25))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e22,e23),e24) = op2(e22,op2(e23,e24))
& op2(op2(e22,e23),e25) = op2(e22,op2(e23,e25))
& op2(op2(e22,e24),e20) = op2(e22,op2(e24,e20))
& op2(op2(e22,e24),e21) = op2(e22,op2(e24,e21))
& op2(op2(e22,e24),e22) = op2(e22,op2(e24,e22))
& op2(op2(e22,e24),e23) = op2(e22,op2(e24,e23))
& op2(op2(e22,e24),e24) = op2(e22,op2(e24,e24))
& op2(op2(e22,e24),e25) = op2(e22,op2(e24,e25))
& op2(op2(e22,e25),e20) = op2(e22,op2(e25,e20))
& op2(op2(e22,e25),e21) = op2(e22,op2(e25,e21))
& op2(op2(e22,e25),e22) = op2(e22,op2(e25,e22))
& op2(op2(e22,e25),e23) = op2(e22,op2(e25,e23))
& op2(op2(e22,e25),e24) = op2(e22,op2(e25,e24))
& op2(op2(e22,e25),e25) = op2(e22,op2(e25,e25))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e20),e24) = op2(e23,op2(e20,e24))
& op2(op2(e23,e20),e25) = op2(e23,op2(e20,e25))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e21),e24) = op2(e23,op2(e21,e24))
& op2(op2(e23,e21),e25) = op2(e23,op2(e21,e25))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e22),e24) = op2(e23,op2(e22,e24))
& op2(op2(e23,e22),e25) = op2(e23,op2(e22,e25))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23))
& op2(op2(e23,e23),e24) = op2(e23,op2(e23,e24))
& op2(op2(e23,e23),e25) = op2(e23,op2(e23,e25))
& op2(op2(e23,e24),e20) = op2(e23,op2(e24,e20))
& op2(op2(e23,e24),e21) = op2(e23,op2(e24,e21))
& op2(op2(e23,e24),e22) = op2(e23,op2(e24,e22))
& op2(op2(e23,e24),e23) = op2(e23,op2(e24,e23))
& op2(op2(e23,e24),e24) = op2(e23,op2(e24,e24))
& op2(op2(e23,e24),e25) = op2(e23,op2(e24,e25))
& op2(op2(e23,e25),e20) = op2(e23,op2(e25,e20))
& op2(op2(e23,e25),e21) = op2(e23,op2(e25,e21))
& op2(op2(e23,e25),e22) = op2(e23,op2(e25,e22))
& op2(op2(e23,e25),e23) = op2(e23,op2(e25,e23))
& op2(op2(e23,e25),e24) = op2(e23,op2(e25,e24))
& op2(op2(e23,e25),e25) = op2(e23,op2(e25,e25))
& op2(op2(e24,e20),e20) = op2(e24,op2(e20,e20))
& op2(op2(e24,e20),e21) = op2(e24,op2(e20,e21))
& op2(op2(e24,e20),e22) = op2(e24,op2(e20,e22))
& op2(op2(e24,e20),e23) = op2(e24,op2(e20,e23))
& op2(op2(e24,e20),e24) = op2(e24,op2(e20,e24))
& op2(op2(e24,e20),e25) = op2(e24,op2(e20,e25))
& op2(op2(e24,e21),e20) = op2(e24,op2(e21,e20))
& op2(op2(e24,e21),e21) = op2(e24,op2(e21,e21))
& op2(op2(e24,e21),e22) = op2(e24,op2(e21,e22))
& op2(op2(e24,e21),e23) = op2(e24,op2(e21,e23))
& op2(op2(e24,e21),e24) = op2(e24,op2(e21,e24))
& op2(op2(e24,e21),e25) = op2(e24,op2(e21,e25))
& op2(op2(e24,e22),e20) = op2(e24,op2(e22,e20))
& op2(op2(e24,e22),e21) = op2(e24,op2(e22,e21))
& op2(op2(e24,e22),e22) = op2(e24,op2(e22,e22))
& op2(op2(e24,e22),e23) = op2(e24,op2(e22,e23))
& op2(op2(e24,e22),e24) = op2(e24,op2(e22,e24))
& op2(op2(e24,e22),e25) = op2(e24,op2(e22,e25))
& op2(op2(e24,e23),e20) = op2(e24,op2(e23,e20))
& op2(op2(e24,e23),e21) = op2(e24,op2(e23,e21))
& op2(op2(e24,e23),e22) = op2(e24,op2(e23,e22))
& op2(op2(e24,e23),e23) = op2(e24,op2(e23,e23))
& op2(op2(e24,e23),e24) = op2(e24,op2(e23,e24))
& op2(op2(e24,e23),e25) = op2(e24,op2(e23,e25))
& op2(op2(e24,e24),e20) = op2(e24,op2(e24,e20))
& op2(op2(e24,e24),e21) = op2(e24,op2(e24,e21))
& op2(op2(e24,e24),e22) = op2(e24,op2(e24,e22))
& op2(op2(e24,e24),e23) = op2(e24,op2(e24,e23))
& op2(op2(e24,e24),e24) = op2(e24,op2(e24,e24))
& op2(op2(e24,e24),e25) = op2(e24,op2(e24,e25))
& op2(op2(e24,e25),e20) = op2(e24,op2(e25,e20))
& op2(op2(e24,e25),e21) = op2(e24,op2(e25,e21))
& op2(op2(e24,e25),e22) = op2(e24,op2(e25,e22))
& op2(op2(e24,e25),e23) = op2(e24,op2(e25,e23))
& op2(op2(e24,e25),e24) = op2(e24,op2(e25,e24))
& op2(op2(e24,e25),e25) = op2(e24,op2(e25,e25))
& op2(op2(e25,e20),e20) = op2(e25,op2(e20,e20))
& op2(op2(e25,e20),e21) = op2(e25,op2(e20,e21))
& op2(op2(e25,e20),e22) = op2(e25,op2(e20,e22))
& op2(op2(e25,e20),e23) = op2(e25,op2(e20,e23))
& op2(op2(e25,e20),e24) = op2(e25,op2(e20,e24))
& op2(op2(e25,e20),e25) = op2(e25,op2(e20,e25))
& op2(op2(e25,e21),e20) = op2(e25,op2(e21,e20))
& op2(op2(e25,e21),e21) = op2(e25,op2(e21,e21))
& op2(op2(e25,e21),e22) = op2(e25,op2(e21,e22))
& op2(op2(e25,e21),e23) = op2(e25,op2(e21,e23))
& op2(op2(e25,e21),e24) = op2(e25,op2(e21,e24))
& op2(op2(e25,e21),e25) = op2(e25,op2(e21,e25))
& op2(op2(e25,e22),e20) = op2(e25,op2(e22,e20))
& op2(op2(e25,e22),e21) = op2(e25,op2(e22,e21))
& op2(op2(e25,e22),e22) = op2(e25,op2(e22,e22))
& op2(op2(e25,e22),e23) = op2(e25,op2(e22,e23))
& op2(op2(e25,e22),e24) = op2(e25,op2(e22,e24))
& op2(op2(e25,e22),e25) = op2(e25,op2(e22,e25))
& op2(op2(e25,e23),e20) = op2(e25,op2(e23,e20))
& op2(op2(e25,e23),e21) = op2(e25,op2(e23,e21))
& op2(op2(e25,e23),e22) = op2(e25,op2(e23,e22))
& op2(op2(e25,e23),e23) = op2(e25,op2(e23,e23))
& op2(op2(e25,e23),e24) = op2(e25,op2(e23,e24))
& op2(op2(e25,e23),e25) = op2(e25,op2(e23,e25))
& op2(op2(e25,e24),e20) = op2(e25,op2(e24,e20))
& op2(op2(e25,e24),e21) = op2(e25,op2(e24,e21))
& op2(op2(e25,e24),e22) = op2(e25,op2(e24,e22))
& op2(op2(e25,e24),e23) = op2(e25,op2(e24,e23))
& op2(op2(e25,e24),e24) = op2(e25,op2(e24,e24))
& op2(op2(e25,e24),e25) = op2(e25,op2(e24,e25))
& op2(op2(e25,e25),e20) = op2(e25,op2(e25,e20))
& op2(op2(e25,e25),e21) = op2(e25,op2(e25,e21))
& op2(op2(e25,e25),e22) = op2(e25,op2(e25,e22))
& op2(op2(e25,e25),e23) = op2(e25,op2(e25,e23))
& op2(op2(e25,e25),e24) = op2(e25,op2(e25,e24))
& op2(op2(e25,e25),e25) = op2(e25,op2(e25,e25)) ) ).
fof(ax7,axiom,
( op2(unit2,e20) = e20
& op2(e20,unit2) = e20
& op2(unit2,e21) = e21
& op2(e21,unit2) = e21
& op2(unit2,e22) = e22
& op2(e22,unit2) = e22
& op2(unit2,e23) = e23
& op2(e23,unit2) = e23
& op2(unit2,e24) = e24
& op2(e24,unit2) = e24
& op2(unit2,e25) = e25
& op2(e25,unit2) = e25
& ( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23
| unit2 = e24
| unit2 = e25 ) ) ).
fof(ax8,axiom,
( op2(e20,inv2(e20)) = unit2
& op2(inv2(e20),e20) = unit2
& op2(e21,inv2(e21)) = unit2
& op2(inv2(e21),e21) = unit2
& op2(e22,inv2(e22)) = unit2
& op2(inv2(e22),e22) = unit2
& op2(e23,inv2(e23)) = unit2
& op2(inv2(e23),e23) = unit2
& op2(e24,inv2(e24)) = unit2
& op2(inv2(e24),e24) = unit2
& op2(e25,inv2(e25)) = unit2
& op2(inv2(e25),e25) = unit2
& ( inv2(e20) = e20
| inv2(e20) = e21
| inv2(e20) = e22
| inv2(e20) = e23
| inv2(e20) = e24
| inv2(e20) = e25 )
& ( inv2(e21) = e20
| inv2(e21) = e21
| inv2(e21) = e22
| inv2(e21) = e23
| inv2(e21) = e24
| inv2(e21) = e25 )
& ( inv2(e22) = e20
| inv2(e22) = e21
| inv2(e22) = e22
| inv2(e22) = e23
| inv2(e22) = e24
| inv2(e22) = e25 )
& ( inv2(e23) = e20
| inv2(e23) = e21
| inv2(e23) = e22
| inv2(e23) = e23
| inv2(e23) = e24
| inv2(e23) = e25 )
& ( inv2(e24) = e20
| inv2(e24) = e21
| inv2(e24) = e22
| inv2(e24) = e23
| inv2(e24) = e24
| inv2(e24) = e25 )
& ( inv2(e25) = e20
| inv2(e25) = e21
| inv2(e25) = e22
| inv2(e25) = e23
| inv2(e25) = e24
| inv2(e25) = e25 ) ) ).
fof(ax9,axiom,
inv1(unit1) = unit1 ).
fof(ax10,axiom,
( inv1(inv1(e10)) = e10
& inv1(inv1(e11)) = e11
& inv1(inv1(e12)) = e12
& inv1(inv1(e13)) = e13
& inv1(inv1(e14)) = e14
& inv1(inv1(e15)) = e15 ) ).
fof(ax11,axiom,
( ( inv1(e10) = e10
=> inv1(e10) = e10 )
& ( inv1(e10) = e11
=> inv1(e11) = e10 )
& ( inv1(e10) = e12
=> inv1(e12) = e10 )
& ( inv1(e10) = e13
=> inv1(e13) = e10 )
& ( inv1(e10) = e14
=> inv1(e14) = e10 )
& ( inv1(e10) = e15
=> inv1(e15) = e10 )
& ( inv1(e11) = e10
=> inv1(e10) = e11 )
& ( inv1(e11) = e11
=> inv1(e11) = e11 )
& ( inv1(e11) = e12
=> inv1(e12) = e11 )
& ( inv1(e11) = e13
=> inv1(e13) = e11 )
& ( inv1(e11) = e14
=> inv1(e14) = e11 )
& ( inv1(e11) = e15
=> inv1(e15) = e11 )
& ( inv1(e12) = e10
=> inv1(e10) = e12 )
& ( inv1(e12) = e11
=> inv1(e11) = e12 )
& ( inv1(e12) = e12
=> inv1(e12) = e12 )
& ( inv1(e12) = e13
=> inv1(e13) = e12 )
& ( inv1(e12) = e14
=> inv1(e14) = e12 )
& ( inv1(e12) = e15
=> inv1(e15) = e12 )
& ( inv1(e13) = e10
=> inv1(e10) = e13 )
& ( inv1(e13) = e11
=> inv1(e11) = e13 )
& ( inv1(e13) = e12
=> inv1(e12) = e13 )
& ( inv1(e13) = e13
=> inv1(e13) = e13 )
& ( inv1(e13) = e14
=> inv1(e14) = e13 )
& ( inv1(e13) = e15
=> inv1(e15) = e13 )
& ( inv1(e14) = e10
=> inv1(e10) = e14 )
& ( inv1(e14) = e11
=> inv1(e11) = e14 )
& ( inv1(e14) = e12
=> inv1(e12) = e14 )
& ( inv1(e14) = e13
=> inv1(e13) = e14 )
& ( inv1(e14) = e14
=> inv1(e14) = e14 )
& ( inv1(e14) = e15
=> inv1(e15) = e14 )
& ( inv1(e15) = e10
=> inv1(e10) = e15 )
& ( inv1(e15) = e11
=> inv1(e11) = e15 )
& ( inv1(e15) = e12
=> inv1(e12) = e15 )
& ( inv1(e15) = e13
=> inv1(e13) = e15 )
& ( inv1(e15) = e14
=> inv1(e14) = e15 )
& ( inv1(e15) = e15
=> inv1(e15) = e15 ) ) ).
fof(ax12,axiom,
( inv1(e10) != inv1(e11)
& inv1(e10) != inv1(e12)
& inv1(e10) != inv1(e13)
& inv1(e10) != inv1(e14)
& inv1(e10) != inv1(e15)
& inv1(e11) != inv1(e12)
& inv1(e11) != inv1(e13)
& inv1(e11) != inv1(e14)
& inv1(e11) != inv1(e15)
& inv1(e12) != inv1(e13)
& inv1(e12) != inv1(e14)
& inv1(e12) != inv1(e15)
& inv1(e13) != inv1(e14)
& inv1(e13) != inv1(e15)
& inv1(e14) != inv1(e15) ) ).
fof(ax13,axiom,
inv2(unit2) = unit2 ).
fof(ax14,axiom,
( inv2(inv2(e20)) = e20
& inv2(inv2(e21)) = e21
& inv2(inv2(e22)) = e22
& inv2(inv2(e23)) = e23
& inv2(inv2(e24)) = e24
& inv2(inv2(e25)) = e25 ) ).
fof(ax15,axiom,
( ( inv2(e20) = e20
=> inv2(e20) = e20 )
& ( inv2(e20) = e21
=> inv2(e21) = e20 )
& ( inv2(e20) = e22
=> inv2(e22) = e20 )
& ( inv2(e20) = e23
=> inv2(e23) = e20 )
& ( inv2(e20) = e24
=> inv2(e24) = e20 )
& ( inv2(e20) = e25
=> inv2(e25) = e20 )
& ( inv2(e21) = e20
=> inv2(e20) = e21 )
& ( inv2(e21) = e21
=> inv2(e21) = e21 )
& ( inv2(e21) = e22
=> inv2(e22) = e21 )
& ( inv2(e21) = e23
=> inv2(e23) = e21 )
& ( inv2(e21) = e24
=> inv2(e24) = e21 )
& ( inv2(e21) = e25
=> inv2(e25) = e21 )
& ( inv2(e22) = e20
=> inv2(e20) = e22 )
& ( inv2(e22) = e21
=> inv2(e21) = e22 )
& ( inv2(e22) = e22
=> inv2(e22) = e22 )
& ( inv2(e22) = e23
=> inv2(e23) = e22 )
& ( inv2(e22) = e24
=> inv2(e24) = e22 )
& ( inv2(e22) = e25
=> inv2(e25) = e22 )
& ( inv2(e23) = e20
=> inv2(e20) = e23 )
& ( inv2(e23) = e21
=> inv2(e21) = e23 )
& ( inv2(e23) = e22
=> inv2(e22) = e23 )
& ( inv2(e23) = e23
=> inv2(e23) = e23 )
& ( inv2(e23) = e24
=> inv2(e24) = e23 )
& ( inv2(e23) = e25
=> inv2(e25) = e23 )
& ( inv2(e24) = e20
=> inv2(e20) = e24 )
& ( inv2(e24) = e21
=> inv2(e21) = e24 )
& ( inv2(e24) = e22
=> inv2(e22) = e24 )
& ( inv2(e24) = e23
=> inv2(e23) = e24 )
& ( inv2(e24) = e24
=> inv2(e24) = e24 )
& ( inv2(e24) = e25
=> inv2(e25) = e24 )
& ( inv2(e25) = e20
=> inv2(e20) = e25 )
& ( inv2(e25) = e21
=> inv2(e21) = e25 )
& ( inv2(e25) = e22
=> inv2(e22) = e25 )
& ( inv2(e25) = e23
=> inv2(e23) = e25 )
& ( inv2(e25) = e24
=> inv2(e24) = e25 )
& ( inv2(e25) = e25
=> inv2(e25) = e25 ) ) ).
fof(ax16,axiom,
( inv2(e20) != inv2(e21)
& inv2(e20) != inv2(e22)
& inv2(e20) != inv2(e23)
& inv2(e20) != inv2(e24)
& inv2(e20) != inv2(e25)
& inv2(e21) != inv2(e22)
& inv2(e21) != inv2(e23)
& inv2(e21) != inv2(e24)
& inv2(e21) != inv2(e25)
& inv2(e22) != inv2(e23)
& inv2(e22) != inv2(e24)
& inv2(e22) != inv2(e25)
& inv2(e23) != inv2(e24)
& inv2(e23) != inv2(e25)
& inv2(e24) != inv2(e25) ) ).
fof(ax17,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(e10,e10) != op1(e15,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e14,e10)
& op1(e11,e10) != op1(e15,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e15,e10)
& op1(e13,e10) != op1(e14,e10)
& op1(e13,e10) != op1(e15,e10)
& op1(e14,e10) != op1(e15,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(e10,e11) != op1(e15,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e14,e11)
& op1(e11,e11) != op1(e15,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e15,e11)
& op1(e13,e11) != op1(e14,e11)
& op1(e13,e11) != op1(e15,e11)
& op1(e14,e11) != op1(e15,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(e10,e12) != op1(e15,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e14,e12)
& op1(e11,e12) != op1(e15,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e15,e12)
& op1(e13,e12) != op1(e14,e12)
& op1(e13,e12) != op1(e15,e12)
& op1(e14,e12) != op1(e15,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(e10,e13) != op1(e15,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e14,e13)
& op1(e11,e13) != op1(e15,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e15,e13)
& op1(e13,e13) != op1(e14,e13)
& op1(e13,e13) != op1(e15,e13)
& op1(e14,e13) != op1(e15,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(e10,e14) != op1(e15,e14)
& op1(e11,e14) != op1(e12,e14)
& op1(e11,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e14,e14)
& op1(e11,e14) != op1(e15,e14)
& op1(e12,e14) != op1(e13,e14)
& op1(e12,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e15,e14)
& op1(e13,e14) != op1(e14,e14)
& op1(e13,e14) != op1(e15,e14)
& op1(e14,e14) != op1(e15,e14)
& op1(e10,e15) != op1(e11,e15)
& op1(e10,e15) != op1(e12,e15)
& op1(e10,e15) != op1(e13,e15)
& op1(e10,e15) != op1(e14,e15)
& op1(e10,e15) != op1(e15,e15)
& op1(e11,e15) != op1(e12,e15)
& op1(e11,e15) != op1(e13,e15)
& op1(e11,e15) != op1(e14,e15)
& op1(e11,e15) != op1(e15,e15)
& op1(e12,e15) != op1(e13,e15)
& op1(e12,e15) != op1(e14,e15)
& op1(e12,e15) != op1(e15,e15)
& op1(e13,e15) != op1(e14,e15)
& op1(e13,e15) != op1(e15,e15)
& op1(e14,e15) != op1(e15,e15)
& 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,e10) != op1(e10,e15)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e14)
& op1(e10,e11) != op1(e10,e15)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e15)
& op1(e10,e13) != op1(e10,e14)
& op1(e10,e13) != op1(e10,e15)
& op1(e10,e14) != op1(e10,e15)
& 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,e10) != op1(e11,e15)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e14)
& op1(e11,e11) != op1(e11,e15)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e15)
& op1(e11,e13) != op1(e11,e14)
& op1(e11,e13) != op1(e11,e15)
& op1(e11,e14) != op1(e11,e15)
& 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,e10) != op1(e12,e15)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e14)
& op1(e12,e11) != op1(e12,e15)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e15)
& op1(e12,e13) != op1(e12,e14)
& op1(e12,e13) != op1(e12,e15)
& op1(e12,e14) != op1(e12,e15)
& 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,e10) != op1(e13,e15)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e14)
& op1(e13,e11) != op1(e13,e15)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e15)
& op1(e13,e13) != op1(e13,e14)
& op1(e13,e13) != op1(e13,e15)
& op1(e13,e14) != op1(e13,e15)
& 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,e10) != op1(e14,e15)
& op1(e14,e11) != op1(e14,e12)
& op1(e14,e11) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e14)
& op1(e14,e11) != op1(e14,e15)
& op1(e14,e12) != op1(e14,e13)
& op1(e14,e12) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e15)
& op1(e14,e13) != op1(e14,e14)
& op1(e14,e13) != op1(e14,e15)
& op1(e14,e14) != op1(e14,e15)
& op1(e15,e10) != op1(e15,e11)
& op1(e15,e10) != op1(e15,e12)
& op1(e15,e10) != op1(e15,e13)
& op1(e15,e10) != op1(e15,e14)
& op1(e15,e10) != op1(e15,e15)
& op1(e15,e11) != op1(e15,e12)
& op1(e15,e11) != op1(e15,e13)
& op1(e15,e11) != op1(e15,e14)
& op1(e15,e11) != op1(e15,e15)
& op1(e15,e12) != op1(e15,e13)
& op1(e15,e12) != op1(e15,e14)
& op1(e15,e12) != op1(e15,e15)
& op1(e15,e13) != op1(e15,e14)
& op1(e15,e13) != op1(e15,e15)
& op1(e15,e14) != op1(e15,e15) ) ).
fof(ax18,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(e20,e20) != op2(e25,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e24,e20)
& op2(e21,e20) != op2(e25,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e25,e20)
& op2(e23,e20) != op2(e24,e20)
& op2(e23,e20) != op2(e25,e20)
& op2(e24,e20) != op2(e25,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(e20,e21) != op2(e25,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e24,e21)
& op2(e21,e21) != op2(e25,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e25,e21)
& op2(e23,e21) != op2(e24,e21)
& op2(e23,e21) != op2(e25,e21)
& op2(e24,e21) != op2(e25,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(e20,e22) != op2(e25,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e24,e22)
& op2(e21,e22) != op2(e25,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e25,e22)
& op2(e23,e22) != op2(e24,e22)
& op2(e23,e22) != op2(e25,e22)
& op2(e24,e22) != op2(e25,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(e20,e23) != op2(e25,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e24,e23)
& op2(e21,e23) != op2(e25,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e25,e23)
& op2(e23,e23) != op2(e24,e23)
& op2(e23,e23) != op2(e25,e23)
& op2(e24,e23) != op2(e25,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(e20,e24) != op2(e25,e24)
& op2(e21,e24) != op2(e22,e24)
& op2(e21,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e24,e24)
& op2(e21,e24) != op2(e25,e24)
& op2(e22,e24) != op2(e23,e24)
& op2(e22,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e25,e24)
& op2(e23,e24) != op2(e24,e24)
& op2(e23,e24) != op2(e25,e24)
& op2(e24,e24) != op2(e25,e24)
& op2(e20,e25) != op2(e21,e25)
& op2(e20,e25) != op2(e22,e25)
& op2(e20,e25) != op2(e23,e25)
& op2(e20,e25) != op2(e24,e25)
& op2(e20,e25) != op2(e25,e25)
& op2(e21,e25) != op2(e22,e25)
& op2(e21,e25) != op2(e23,e25)
& op2(e21,e25) != op2(e24,e25)
& op2(e21,e25) != op2(e25,e25)
& op2(e22,e25) != op2(e23,e25)
& op2(e22,e25) != op2(e24,e25)
& op2(e22,e25) != op2(e25,e25)
& op2(e23,e25) != op2(e24,e25)
& op2(e23,e25) != op2(e25,e25)
& op2(e24,e25) != op2(e25,e25)
& 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,e20) != op2(e20,e25)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e24)
& op2(e20,e21) != op2(e20,e25)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e25)
& op2(e20,e23) != op2(e20,e24)
& op2(e20,e23) != op2(e20,e25)
& op2(e20,e24) != op2(e20,e25)
& 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,e20) != op2(e21,e25)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e24)
& op2(e21,e21) != op2(e21,e25)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e25)
& op2(e21,e23) != op2(e21,e24)
& op2(e21,e23) != op2(e21,e25)
& op2(e21,e24) != op2(e21,e25)
& 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,e20) != op2(e22,e25)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e24)
& op2(e22,e21) != op2(e22,e25)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e25)
& op2(e22,e23) != op2(e22,e24)
& op2(e22,e23) != op2(e22,e25)
& op2(e22,e24) != op2(e22,e25)
& 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,e20) != op2(e23,e25)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e24)
& op2(e23,e21) != op2(e23,e25)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e25)
& op2(e23,e23) != op2(e23,e24)
& op2(e23,e23) != op2(e23,e25)
& op2(e23,e24) != op2(e23,e25)
& 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,e20) != op2(e24,e25)
& op2(e24,e21) != op2(e24,e22)
& op2(e24,e21) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e24)
& op2(e24,e21) != op2(e24,e25)
& op2(e24,e22) != op2(e24,e23)
& op2(e24,e22) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e25)
& op2(e24,e23) != op2(e24,e24)
& op2(e24,e23) != op2(e24,e25)
& op2(e24,e24) != op2(e24,e25)
& op2(e25,e20) != op2(e25,e21)
& op2(e25,e20) != op2(e25,e22)
& op2(e25,e20) != op2(e25,e23)
& op2(e25,e20) != op2(e25,e24)
& op2(e25,e20) != op2(e25,e25)
& op2(e25,e21) != op2(e25,e22)
& op2(e25,e21) != op2(e25,e23)
& op2(e25,e21) != op2(e25,e24)
& op2(e25,e21) != op2(e25,e25)
& op2(e25,e22) != op2(e25,e23)
& op2(e25,e22) != op2(e25,e24)
& op2(e25,e22) != op2(e25,e25)
& op2(e25,e23) != op2(e25,e24)
& op2(e25,e23) != op2(e25,e25)
& op2(e25,e24) != op2(e25,e25) ) ).
fof(ax19,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e12 != e13
& e12 != e14
& e12 != e15
& e13 != e14
& e13 != e15
& e14 != e15 ) ).
fof(ax20,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e20 != e25
& e21 != e22
& e21 != e23
& e21 != e24
& e21 != e25
& e22 != e23
& e22 != e24
& e22 != e25
& e23 != e24
& e23 != e25
& e24 != e25 ) ).
fof(ax21,axiom,
( e10 != e20
& e10 != e21
& e10 != e22
& e10 != e23
& e10 != e24
& e10 != e25
& e11 != e20
& e11 != e21
& e11 != e22
& e11 != e23
& e11 != e24
& e11 != e25
& e12 != e20
& e12 != e21
& e12 != e22
& e12 != e23
& e12 != e24
& e12 != e25
& e13 != e20
& e13 != e21
& e13 != e22
& e13 != e23
& e13 != e24
& e13 != e25
& e14 != e20
& e14 != e21
& e14 != e22
& e14 != e23
& e14 != e24
& e14 != e25
& e15 != e20
& e15 != e21
& e15 != e22
& e15 != e23
& e15 != e24
& e15 != e25 ) ).
fof(ax22,axiom,
( op1(e10,e10) = op1(e10,e10)
& op1(e10,e11) = op1(e11,e10)
& op1(e10,e12) = op1(e12,e10)
& op1(e10,e13) = op1(e13,e10)
& op1(e10,e14) = op1(e14,e10)
& op1(e10,e15) = op1(e15,e10)
& op1(e11,e10) = op1(e10,e11)
& op1(e11,e11) = op1(e11,e11)
& op1(e11,e12) = op1(e12,e11)
& op1(e11,e13) = op1(e13,e11)
& op1(e11,e14) = op1(e14,e11)
& op1(e11,e15) = op1(e15,e11)
& op1(e12,e10) = op1(e10,e12)
& op1(e12,e11) = op1(e11,e12)
& op1(e12,e12) = op1(e12,e12)
& op1(e12,e13) = op1(e13,e12)
& op1(e12,e14) = op1(e14,e12)
& op1(e12,e15) = op1(e15,e12)
& op1(e13,e10) = op1(e10,e13)
& op1(e13,e11) = op1(e11,e13)
& op1(e13,e12) = op1(e12,e13)
& op1(e13,e13) = op1(e13,e13)
& op1(e13,e14) = op1(e14,e13)
& op1(e13,e15) = op1(e15,e13)
& op1(e14,e10) = op1(e10,e14)
& op1(e14,e11) = op1(e11,e14)
& op1(e14,e12) = op1(e12,e14)
& op1(e14,e13) = op1(e13,e14)
& op1(e14,e14) = op1(e14,e14)
& op1(e14,e15) = op1(e15,e14)
& op1(e15,e10) = op1(e10,e15)
& op1(e15,e11) = op1(e11,e15)
& op1(e15,e12) = op1(e12,e15)
& op1(e15,e13) = op1(e13,e15)
& op1(e15,e14) = op1(e14,e15)
& op1(e15,e15) = op1(e15,e15) ) ).
fof(ax23,axiom,
( op2(e20,e20) = op2(e20,e20)
& op2(e20,e21) = op2(e21,e20)
& op2(e20,e22) = op2(e22,e20)
& op2(e20,e23) = op2(e23,e20)
& op2(e20,e24) = op2(e24,e20)
& op2(e20,e25) = op2(e25,e20)
& op2(e21,e20) = op2(e20,e21)
& op2(e21,e21) = op2(e21,e21)
& op2(e21,e22) = op2(e22,e21)
& op2(e21,e23) = op2(e23,e21)
& op2(e21,e24) = op2(e24,e21)
& op2(e21,e25) = op2(e25,e21)
& op2(e22,e20) = op2(e20,e22)
& op2(e22,e21) = op2(e21,e22)
& op2(e22,e22) = op2(e22,e22)
& op2(e22,e23) = op2(e23,e22)
& op2(e22,e24) = op2(e24,e22)
& op2(e22,e25) = op2(e25,e22)
& op2(e23,e20) = op2(e20,e23)
& op2(e23,e21) = op2(e21,e23)
& op2(e23,e22) = op2(e22,e23)
& op2(e23,e23) = op2(e23,e23)
& op2(e23,e24) = op2(e24,e23)
& op2(e23,e25) = op2(e25,e23)
& op2(e24,e20) = op2(e20,e24)
& op2(e24,e21) = op2(e21,e24)
& op2(e24,e22) = op2(e22,e24)
& op2(e24,e23) = op2(e23,e24)
& op2(e24,e24) = op2(e24,e24)
& op2(e24,e25) = op2(e25,e24)
& op2(e25,e20) = op2(e20,e25)
& op2(e25,e21) = op2(e21,e25)
& op2(e25,e22) = op2(e22,e25)
& op2(e25,e23) = op2(e23,e25)
& op2(e25,e24) = op2(e24,e25)
& op2(e25,e25) = op2(e25,e25) ) ).
fof(ax24,axiom,
( e10 = op1(op1(op1(op1(e14,e14),e14),e14),op1(e14,e14))
& e11 = op1(op1(e14,e14),e14)
& e12 = op1(op1(op1(e14,e14),e14),e14)
& e13 = op1(e14,e14)
& e15 = op1(op1(op1(op1(e14,e14),e14),e14),e14) ) ).
fof(ax25,axiom,
( e20 = op2(op2(op2(op2(e24,e24),e24),e24),op2(e24,e24))
& e21 = op2(op2(e24,e24),e24)
& e22 = op2(op2(op2(e24,e24),e24),e24)
& e23 = op2(e24,e24)
& e25 = op2(op2(op2(op2(e24,e24),e24),e24),e24) ) ).
fof(ax26,axiom,
( h1(e14) = e20
& h1(e10) = op2(op2(op2(op2(e20,e20),e20),e20),op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(op2(op2(e20,e20),e20),e20)
& h1(e13) = op2(e20,e20)
& h1(e15) = op2(op2(op2(op2(e20,e20),e20),e20),e20) ) ).
fof(ax27,axiom,
( h2(e14) = e21
& h2(e10) = op2(op2(op2(op2(e21,e21),e21),e21),op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(op2(op2(e21,e21),e21),e21)
& h2(e13) = op2(e21,e21)
& h2(e15) = op2(op2(op2(op2(e21,e21),e21),e21),e21) ) ).
fof(ax28,axiom,
( h3(e14) = e22
& h3(e10) = op2(op2(op2(op2(e22,e22),e22),e22),op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(op2(op2(e22,e22),e22),e22)
& h3(e13) = op2(e22,e22)
& h3(e15) = op2(op2(op2(op2(e22,e22),e22),e22),e22) ) ).
fof(ax29,axiom,
( h4(e14) = e23
& h4(e10) = op2(op2(op2(op2(e23,e23),e23),e23),op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(op2(op2(e23,e23),e23),e23)
& h4(e13) = op2(e23,e23)
& h4(e15) = op2(op2(op2(op2(e23,e23),e23),e23),e23) ) ).
fof(ax30,axiom,
( h5(e14) = e24
& h5(e10) = op2(op2(op2(op2(e24,e24),e24),e24),op2(e24,e24))
& h5(e11) = op2(op2(e24,e24),e24)
& h5(e12) = op2(op2(op2(e24,e24),e24),e24)
& h5(e13) = op2(e24,e24)
& h5(e15) = op2(op2(op2(op2(e24,e24),e24),e24),e24) ) ).
fof(ax31,axiom,
( h6(e14) = e25
& h6(e10) = op2(op2(op2(op2(e25,e25),e25),e25),op2(e25,e25))
& h6(e11) = op2(op2(e25,e25),e25)
& h6(e12) = op2(op2(op2(e25,e25),e25),e25)
& h6(e13) = op2(e25,e25)
& h6(e15) = op2(op2(op2(op2(e25,e25),e25),e25),e25) ) ).
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(e10,e15)) = op2(h1(e10),h1(e15))
& 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(e11,e15)) = op2(h1(e11),h1(e15))
& 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(e12,e15)) = op2(h1(e12),h1(e15))
& 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(e13,e15)) = op2(h1(e13),h1(e15))
& 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(op1(e14,e15)) = op2(h1(e14),h1(e15))
& h1(op1(e15,e10)) = op2(h1(e15),h1(e10))
& h1(op1(e15,e11)) = op2(h1(e15),h1(e11))
& h1(op1(e15,e12)) = op2(h1(e15),h1(e12))
& h1(op1(e15,e13)) = op2(h1(e15),h1(e13))
& h1(op1(e15,e14)) = op2(h1(e15),h1(e14))
& h1(op1(e15,e15)) = op2(h1(e15),h1(e15))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20
| h1(e14) = e20
| h1(e15) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21
| h1(e14) = e21
| h1(e15) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| h1(e14) = e22
| h1(e15) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23
| h1(e14) = e23
| h1(e15) = e23 )
& ( h1(e10) = e24
| h1(e11) = e24
| h1(e12) = e24
| h1(e13) = e24
| h1(e14) = e24
| h1(e15) = e24 )
& ( h1(e10) = e25
| h1(e11) = e25
| h1(e12) = e25
| h1(e13) = e25
| h1(e14) = e25
| h1(e15) = e25 ) )
| ( 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(e10,e15)) = op2(h2(e10),h2(e15))
& 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(e11,e15)) = op2(h2(e11),h2(e15))
& 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(e12,e15)) = op2(h2(e12),h2(e15))
& 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(e13,e15)) = op2(h2(e13),h2(e15))
& 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(op1(e14,e15)) = op2(h2(e14),h2(e15))
& h2(op1(e15,e10)) = op2(h2(e15),h2(e10))
& h2(op1(e15,e11)) = op2(h2(e15),h2(e11))
& h2(op1(e15,e12)) = op2(h2(e15),h2(e12))
& h2(op1(e15,e13)) = op2(h2(e15),h2(e13))
& h2(op1(e15,e14)) = op2(h2(e15),h2(e14))
& h2(op1(e15,e15)) = op2(h2(e15),h2(e15))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20
| h2(e14) = e20
| h2(e15) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21
| h2(e14) = e21
| h2(e15) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| h2(e14) = e22
| h2(e15) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23
| h2(e14) = e23
| h2(e15) = e23 )
& ( h2(e10) = e24
| h2(e11) = e24
| h2(e12) = e24
| h2(e13) = e24
| h2(e14) = e24
| h2(e15) = e24 )
& ( h2(e10) = e25
| h2(e11) = e25
| h2(e12) = e25
| h2(e13) = e25
| h2(e14) = e25
| h2(e15) = e25 ) )
| ( 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(e10,e15)) = op2(h3(e10),h3(e15))
& 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(e11,e15)) = op2(h3(e11),h3(e15))
& 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(e12,e15)) = op2(h3(e12),h3(e15))
& 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(e13,e15)) = op2(h3(e13),h3(e15))
& 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(op1(e14,e15)) = op2(h3(e14),h3(e15))
& h3(op1(e15,e10)) = op2(h3(e15),h3(e10))
& h3(op1(e15,e11)) = op2(h3(e15),h3(e11))
& h3(op1(e15,e12)) = op2(h3(e15),h3(e12))
& h3(op1(e15,e13)) = op2(h3(e15),h3(e13))
& h3(op1(e15,e14)) = op2(h3(e15),h3(e14))
& h3(op1(e15,e15)) = op2(h3(e15),h3(e15))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20
| h3(e14) = e20
| h3(e15) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| h3(e14) = e21
| h3(e15) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22
| h3(e14) = e22
| h3(e15) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23
| h3(e14) = e23
| h3(e15) = e23 )
& ( h3(e10) = e24
| h3(e11) = e24
| h3(e12) = e24
| h3(e13) = e24
| h3(e14) = e24
| h3(e15) = e24 )
& ( h3(e10) = e25
| h3(e11) = e25
| h3(e12) = e25
| h3(e13) = e25
| h3(e14) = e25
| h3(e15) = e25 ) )
| ( 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(e10,e15)) = op2(h4(e10),h4(e15))
& 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(e11,e15)) = op2(h4(e11),h4(e15))
& 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(e12,e15)) = op2(h4(e12),h4(e15))
& 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(e13,e15)) = op2(h4(e13),h4(e15))
& 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(op1(e14,e15)) = op2(h4(e14),h4(e15))
& h4(op1(e15,e10)) = op2(h4(e15),h4(e10))
& h4(op1(e15,e11)) = op2(h4(e15),h4(e11))
& h4(op1(e15,e12)) = op2(h4(e15),h4(e12))
& h4(op1(e15,e13)) = op2(h4(e15),h4(e13))
& h4(op1(e15,e14)) = op2(h4(e15),h4(e14))
& h4(op1(e15,e15)) = op2(h4(e15),h4(e15))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20
| h4(e14) = e20
| h4(e15) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21
| h4(e14) = e21
| h4(e15) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22
| h4(e14) = e22
| h4(e15) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23
| h4(e14) = e23
| h4(e15) = e23 )
& ( h4(e10) = e24
| h4(e11) = e24
| h4(e12) = e24
| h4(e13) = e24
| h4(e14) = e24
| h4(e15) = e24 )
& ( h4(e10) = e25
| h4(e11) = e25
| h4(e12) = e25
| h4(e13) = e25
| h4(e14) = e25
| h4(e15) = e25 ) )
| ( 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(e10,e15)) = op2(h5(e10),h5(e15))
& 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(e11,e15)) = op2(h5(e11),h5(e15))
& 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(e12,e15)) = op2(h5(e12),h5(e15))
& 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(e13,e15)) = op2(h5(e13),h5(e15))
& 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(op1(e14,e15)) = op2(h5(e14),h5(e15))
& h5(op1(e15,e10)) = op2(h5(e15),h5(e10))
& h5(op1(e15,e11)) = op2(h5(e15),h5(e11))
& h5(op1(e15,e12)) = op2(h5(e15),h5(e12))
& h5(op1(e15,e13)) = op2(h5(e15),h5(e13))
& h5(op1(e15,e14)) = op2(h5(e15),h5(e14))
& h5(op1(e15,e15)) = op2(h5(e15),h5(e15))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20
| h5(e14) = e20
| h5(e15) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21
| h5(e14) = e21
| h5(e15) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22
| h5(e14) = e22
| h5(e15) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23
| h5(e14) = e23
| h5(e15) = e23 )
& ( h5(e10) = e24
| h5(e11) = e24
| h5(e12) = e24
| h5(e13) = e24
| h5(e14) = e24
| h5(e15) = e24 )
& ( h5(e10) = e25
| h5(e11) = e25
| h5(e12) = e25
| h5(e13) = e25
| h5(e14) = e25
| h5(e15) = e25 ) )
| ( 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(e10,e15)) = op2(h6(e10),h6(e15))
& 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(e11,e15)) = op2(h6(e11),h6(e15))
& 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(e12,e15)) = op2(h6(e12),h6(e15))
& 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(e13,e15)) = op2(h6(e13),h6(e15))
& 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(op1(e14,e15)) = op2(h6(e14),h6(e15))
& h6(op1(e15,e10)) = op2(h6(e15),h6(e10))
& h6(op1(e15,e11)) = op2(h6(e15),h6(e11))
& h6(op1(e15,e12)) = op2(h6(e15),h6(e12))
& h6(op1(e15,e13)) = op2(h6(e15),h6(e13))
& h6(op1(e15,e14)) = op2(h6(e15),h6(e14))
& h6(op1(e15,e15)) = op2(h6(e15),h6(e15))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20
| h6(e14) = e20
| h6(e15) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21
| h6(e14) = e21
| h6(e15) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22
| h6(e14) = e22
| h6(e15) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23
| h6(e14) = e23
| h6(e15) = e23 )
& ( h6(e10) = e24
| h6(e11) = e24
| h6(e12) = e24
| h6(e13) = e24
| h6(e14) = e24
| h6(e15) = e24 )
& ( h6(e10) = e25
| h6(e11) = e25
| h6(e12) = e25
| h6(e13) = e25
| h6(e14) = e25
| h6(e15) = e25 ) ) ) ).
%--------------------------------------------------------------------------