Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : ALG016+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 04:57:47 AM UTC 2025

% Result   : Theorem 0.20s 0.43s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :   88
% Syntax   : Number of formulae    :  766 ( 418 unt;   0 typ;   0 def)
%            Number of atoms       : 9247 (9246 equ)
%            Maximal formula atoms :  128 (  12 avg)
%            Number of connectives : 10906 (2425   ~;1492   |;6892   &)
%                                         (  97 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   64 (  10 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(e23_type,type,
    e23: $i ).

tff(h2_type,type,
    h2: $i > $i ).

tff(e13_type,type,
    e13: $i ).

tff(op2_type,type,
    op2: ( $i * $i ) > $i ).

tff(e21_type,type,
    e21: $i ).

tff(e11_type,type,
    e11: $i ).

tff(e10_type,type,
    e10: $i ).

tff(e12_type,type,
    e12: $i ).

tff(e22_type,type,
    e22: $i ).

tff(e20_type,type,
    e20: $i ).

tff(op1_type,type,
    op1: ( $i * $i ) > $i ).

tff(h1_type,type,
    h1: $i > $i ).

tff(h4_type,type,
    h4: $i > $i ).

tff(h3_type,type,
    h3: $i > $i ).

tff(1,plain,
    ( ( h2(e13) = op2(e21,e21) )
  <=> ( h2(e13) = op2(e21,e21) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    ( ( h2(e12) = e21 )
    & ( h2(e10) = op2(op2(e21,op2(e21,e21)),e21) )
    & ( h2(e11) = op2(e21,op2(e21,e21)) )
    & ( h2(e13) = op2(e21,e21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

tff(3,plain,
    h2(e13) = op2(e21,e21),
    inference(and_elim,[status(thm)],[2]) ).

tff(4,plain,
    h2(e13) = op2(e21,e21),
    inference(modus_ponens,[status(thm)],[3,1]) ).

tff(5,plain,
    ( ( h2(e13) = e23 )
  <=> ( op2(e21,e21) = e23 ) ),
    inference(monotonicity,[status(thm)],[4]) ).

tff(6,plain,
    ( ( op2(e21,e21) = e23 )
  <=> ( h2(e13) = e23 ) ),
    inference(symmetry,[status(thm)],[5]) ).

tff(7,plain,
    ( ( e23 = op2(e22,e22) )
  <=> ( e23 = op2(e22,e22) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(8,axiom,
    ( ( e20 = op2(op2(e22,op2(e22,e22)),e22) )
    & ( e21 = op2(e22,op2(e22,e22)) )
    & ( e23 = op2(e22,e22) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

tff(9,plain,
    e23 = op2(e22,e22),
    inference(and_elim,[status(thm)],[8]) ).

tff(10,plain,
    e23 = op2(e22,e22),
    inference(modus_ponens,[status(thm)],[9,7]) ).

tff(11,plain,
    op2(e22,e22) = e23,
    inference(symmetry,[status(thm)],[10]) ).

tff(12,plain,
    op2(e21,e23) = op2(e21,op2(e22,e22)),
    inference(monotonicity,[status(thm)],[10]) ).

tff(13,plain,
    op2(e21,op2(e22,e22)) = op2(e21,e23),
    inference(symmetry,[status(thm)],[12]) ).

tff(14,plain,
    ( ( op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)) )
  <=> ( op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(15,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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

tff(16,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[15]) ).

tff(17,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,e23),e20) = op2(e23,op2(e23,e20)) )
    & ( op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)) ) ),
    inference(and_elim,[status(thm)],[16]) ).

tff(18,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,e23),e20) = op2(e23,op2(e23,e20)) ) ),
    inference(and_elim,[status(thm)],[17]) ).

tff(19,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[18]) ).

tff(20,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[19]) ).

tff(21,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,e22),e20) = op2(e23,op2(e22,e20)) )
    & ( op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21)) ) ),
    inference(and_elim,[status(thm)],[20]) ).

tff(22,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,e22),e20) = op2(e23,op2(e22,e20)) ) ),
    inference(and_elim,[status(thm)],[21]) ).

tff(23,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[22]) ).

tff(24,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[23]) ).

tff(25,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,e21),e20) = op2(e23,op2(e21,e20)) )
    & ( op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)) ) ),
    inference(and_elim,[status(thm)],[24]) ).

tff(26,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,e21),e20) = op2(e23,op2(e21,e20)) ) ),
    inference(and_elim,[status(thm)],[25]) ).

tff(27,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[26]) ).

tff(28,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[27]) ).

tff(29,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(e23,e20),e20) = op2(e23,op2(e20,e20)) )
    & ( op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)) ) ),
    inference(and_elim,[status(thm)],[28]) ).

tff(30,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(e23,e20),e20) = op2(e23,op2(e20,e20)) ) ),
    inference(and_elim,[status(thm)],[29]) ).

tff(31,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[30]) ).

tff(32,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[31]) ).

tff(33,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,e23),e20) = op2(e22,op2(e23,e20)) )
    & ( op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21)) ) ),
    inference(and_elim,[status(thm)],[32]) ).

tff(34,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,e23),e20) = op2(e22,op2(e23,e20)) ) ),
    inference(and_elim,[status(thm)],[33]) ).

tff(35,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[34]) ).

tff(36,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[35]) ).

tff(37,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,e22),e20) = op2(e22,op2(e22,e20)) )
    & ( op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)) ) ),
    inference(and_elim,[status(thm)],[36]) ).

tff(38,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,e22),e20) = op2(e22,op2(e22,e20)) ) ),
    inference(and_elim,[status(thm)],[37]) ).

tff(39,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[38]) ).

tff(40,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[39]) ).

tff(41,plain,
    ( ( 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,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,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,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(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,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,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,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(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,e21),e20) = op2(e22,op2(e21,e20)) )
    & ( op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)) ) ),
    inference(and_elim,[status(thm)],[40]) ).

tff(42,plain,
    ( ( 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,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,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,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(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,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,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,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(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,e21),e20) = op2(e22,op2(e21,e20)) ) ),
    inference(and_elim,[status(thm)],[41]) ).

tff(43,plain,
    ( ( 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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[42]) ).

tff(44,plain,
    ( ( 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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[43]) ).

tff(45,plain,
    ( ( 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,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,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,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(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,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,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,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(e22,e20),e20) = op2(e22,op2(e20,e20)) )
    & ( op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)) ) ),
    inference(and_elim,[status(thm)],[44]) ).

tff(46,plain,
    ( ( 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,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,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,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(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,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,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,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(e22,e20),e20) = op2(e22,op2(e20,e20)) ) ),
    inference(and_elim,[status(thm)],[45]) ).

tff(47,plain,
    ( ( 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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[46]) ).

tff(48,plain,
    ( ( 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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[47]) ).

tff(49,plain,
    ( ( 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,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,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,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(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,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,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,e23),e20) = op2(e21,op2(e23,e20)) )
    & ( op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)) ) ),
    inference(and_elim,[status(thm)],[48]) ).

tff(50,plain,
    ( ( 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,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,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,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(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,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,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,e23),e20) = op2(e21,op2(e23,e20)) ) ),
    inference(and_elim,[status(thm)],[49]) ).

tff(51,plain,
    ( ( 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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[50]) ).

tff(52,plain,
    ( ( 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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[51]) ).

tff(53,plain,
    op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
    inference(and_elim,[status(thm)],[52]) ).

tff(54,plain,
    op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
    inference(modus_ponens,[status(thm)],[53,14]) ).

tff(55,plain,
    ( ( e21 = op2(e22,op2(e22,e22)) )
  <=> ( e21 = op2(e22,op2(e22,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(56,plain,
    ( ( e20 = op2(op2(e22,op2(e22,e22)),e22) )
    & ( e21 = op2(e22,op2(e22,e22)) ) ),
    inference(and_elim,[status(thm)],[8]) ).

tff(57,plain,
    e21 = op2(e22,op2(e22,e22)),
    inference(and_elim,[status(thm)],[56]) ).

tff(58,plain,
    e21 = op2(e22,op2(e22,e22)),
    inference(modus_ponens,[status(thm)],[57,55]) ).

tff(59,plain,
    op2(e22,op2(e22,e22)) = e21,
    inference(symmetry,[status(thm)],[58]) ).

tff(60,plain,
    op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
    inference(monotonicity,[status(thm)],[59]) ).

tff(61,plain,
    ( ( e20 = op2(op2(e22,op2(e22,e22)),e22) )
  <=> ( e20 = op2(op2(e22,op2(e22,e22)),e22) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(62,plain,
    e20 = op2(op2(e22,op2(e22,e22)),e22),
    inference(and_elim,[status(thm)],[56]) ).

tff(63,plain,
    e20 = op2(op2(e22,op2(e22,e22)),e22),
    inference(modus_ponens,[status(thm)],[62,61]) ).

tff(64,plain,
    e20 = op2(e21,e22),
    inference(transitivity,[status(thm)],[63,60]) ).

tff(65,plain,
    op2(e20,e22) = op2(op2(e21,e22),e22),
    inference(monotonicity,[status(thm)],[64]) ).

tff(66,plain,
    ( ( op2(e20,e22) = op2(e22,e22) )
  <=> ( op2(e20,e22) = e23 ) ),
    inference(monotonicity,[status(thm)],[11]) ).

tff(67,plain,
    ( ( op2(e20,e22) != op2(e22,e22) )
  <=> ( op2(e20,e22) != e23 ) ),
    inference(monotonicity,[status(thm)],[66]) ).

tff(68,plain,
    ( ( op2(e20,e22) != op2(e22,e22) )
  <=> ( op2(e20,e22) != op2(e22,e22) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(69,axiom,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) )
    & ( op2(e23,e20) != op2(e23,e23) )
    & ( op2(e23,e21) != op2(e23,e22) )
    & ( op2(e23,e21) != op2(e23,e23) )
    & ( op2(e23,e22) != op2(e23,e23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

tff(70,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) )
    & ( op2(e23,e20) != op2(e23,e23) )
    & ( op2(e23,e21) != op2(e23,e22) )
    & ( op2(e23,e21) != op2(e23,e23) ) ),
    inference(and_elim,[status(thm)],[69]) ).

tff(71,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) )
    & ( op2(e23,e20) != op2(e23,e23) )
    & ( op2(e23,e21) != op2(e23,e22) ) ),
    inference(and_elim,[status(thm)],[70]) ).

tff(72,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) )
    & ( op2(e23,e20) != op2(e23,e23) ) ),
    inference(and_elim,[status(thm)],[71]) ).

tff(73,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) ) ),
    inference(and_elim,[status(thm)],[72]) ).

tff(74,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) ) ),
    inference(and_elim,[status(thm)],[73]) ).

tff(75,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) ) ),
    inference(and_elim,[status(thm)],[74]) ).

tff(76,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) ) ),
    inference(and_elim,[status(thm)],[75]) ).

tff(77,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) ) ),
    inference(and_elim,[status(thm)],[76]) ).

tff(78,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) ) ),
    inference(and_elim,[status(thm)],[77]) ).

tff(79,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) ) ),
    inference(and_elim,[status(thm)],[78]) ).

tff(80,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) ) ),
    inference(and_elim,[status(thm)],[79]) ).

tff(81,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) ) ),
    inference(and_elim,[status(thm)],[80]) ).

tff(82,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) ) ),
    inference(and_elim,[status(thm)],[81]) ).

tff(83,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) ) ),
    inference(and_elim,[status(thm)],[82]) ).

tff(84,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) ) ),
    inference(and_elim,[status(thm)],[83]) ).

tff(85,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) ) ),
    inference(and_elim,[status(thm)],[84]) ).

tff(86,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) ) ),
    inference(and_elim,[status(thm)],[85]) ).

tff(87,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) ) ),
    inference(and_elim,[status(thm)],[86]) ).

tff(88,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) ) ),
    inference(and_elim,[status(thm)],[87]) ).

tff(89,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) ) ),
    inference(and_elim,[status(thm)],[88]) ).

tff(90,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) ) ),
    inference(and_elim,[status(thm)],[89]) ).

tff(91,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) ) ),
    inference(and_elim,[status(thm)],[90]) ).

tff(92,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) ) ),
    inference(and_elim,[status(thm)],[91]) ).

tff(93,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) ) ),
    inference(and_elim,[status(thm)],[92]) ).

tff(94,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) ) ),
    inference(and_elim,[status(thm)],[93]) ).

tff(95,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) ) ),
    inference(and_elim,[status(thm)],[94]) ).

tff(96,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) ) ),
    inference(and_elim,[status(thm)],[95]) ).

tff(97,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) ) ),
    inference(and_elim,[status(thm)],[96]) ).

tff(98,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) ) ),
    inference(and_elim,[status(thm)],[97]) ).

tff(99,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) ) ),
    inference(and_elim,[status(thm)],[98]) ).

tff(100,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) ) ),
    inference(and_elim,[status(thm)],[99]) ).

tff(101,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) ) ),
    inference(and_elim,[status(thm)],[100]) ).

tff(102,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) ) ),
    inference(and_elim,[status(thm)],[101]) ).

tff(103,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) ) ),
    inference(and_elim,[status(thm)],[102]) ).

tff(104,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(and_elim,[status(thm)],[103]) ).

tff(105,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(modus_ponens,[status(thm)],[104,68]) ).

tff(106,plain,
    op2(e20,e22) != e23,
    inference(modus_ponens,[status(thm)],[105,67]) ).

tff(107,plain,
    op2(op2(e22,op2(e22,e22)),e22) = e20,
    inference(symmetry,[status(thm)],[63]) ).

tff(108,plain,
    op2(e21,e22) = op2(op2(e22,op2(e22,e22)),e22),
    inference(symmetry,[status(thm)],[60]) ).

tff(109,plain,
    op2(e21,e22) = e20,
    inference(transitivity,[status(thm)],[108,107]) ).

tff(110,plain,
    ( ( op2(e20,e22) = op2(e21,e22) )
  <=> ( op2(e20,e22) = e20 ) ),
    inference(monotonicity,[status(thm)],[109]) ).

tff(111,plain,
    ( ( op2(e20,e22) != op2(e21,e22) )
  <=> ( op2(e20,e22) != e20 ) ),
    inference(monotonicity,[status(thm)],[110]) ).

tff(112,plain,
    ( ( op2(e20,e22) != op2(e21,e22) )
  <=> ( op2(e20,e22) != op2(e21,e22) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(113,plain,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) ) ),
    inference(and_elim,[status(thm)],[103]) ).

tff(114,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(and_elim,[status(thm)],[113]) ).

tff(115,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(modus_ponens,[status(thm)],[114,112]) ).

tff(116,plain,
    op2(e20,e22) != e20,
    inference(modus_ponens,[status(thm)],[115,111]) ).

tff(117,plain,
    ( ( op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)) )
  <=> ( op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(118,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    inference(and_elim,[status(thm)],[36]) ).

tff(119,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    inference(modus_ponens,[status(thm)],[118,117]) ).

tff(120,plain,
    op2(e23,e22) = op2(op2(e22,e22),e22),
    inference(monotonicity,[status(thm)],[10]) ).

tff(121,plain,
    op2(e23,e22) = e21,
    inference(transitivity,[status(thm)],[120,119,59]) ).

tff(122,plain,
    ( ( op2(e20,e22) = op2(e23,e22) )
  <=> ( op2(e20,e22) = e21 ) ),
    inference(monotonicity,[status(thm)],[121]) ).

tff(123,plain,
    ( ( op2(e20,e22) != op2(e23,e22) )
  <=> ( op2(e20,e22) != e21 ) ),
    inference(monotonicity,[status(thm)],[122]) ).

tff(124,plain,
    ( ( op2(e20,e22) != op2(e23,e22) )
  <=> ( op2(e20,e22) != op2(e23,e22) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(125,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(and_elim,[status(thm)],[102]) ).

tff(126,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(modus_ponens,[status(thm)],[125,124]) ).

tff(127,plain,
    op2(e20,e22) != e21,
    inference(modus_ponens,[status(thm)],[126,123]) ).

tff(128,plain,
    ( ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
  <=> ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(129,plain,
    ( ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
  <=> ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(130,plain,
    ( ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 ) )
  <=> ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(131,plain,
    ( ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
  <=> ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) ) ),
    inference(monotonicity,[status(thm)],[130]) ).

tff(132,plain,
    ( ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
  <=> ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) ) ),
    inference(transitivity,[status(thm)],[131,129]) ).

tff(133,axiom,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e20) = e21 )
      | ( op2(e23,e20) = e22 )
      | ( op2(e23,e20) = e23 ) )
    & ( ( op2(e23,e21) = e20 )
      | ( op2(e23,e21) = e21 )
      | ( op2(e23,e21) = e22 )
      | ( op2(e23,e21) = e23 ) )
    & ( ( op2(e23,e22) = e20 )
      | ( op2(e23,e22) = e21 )
      | ( op2(e23,e22) = e22 )
      | ( op2(e23,e22) = e23 ) )
    & ( ( op2(e23,e23) = e20 )
      | ( op2(e23,e23) = e21 )
      | ( op2(e23,e23) = e22 )
      | ( op2(e23,e23) = e23 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

tff(134,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e20) = e21 )
      | ( op2(e23,e20) = e22 )
      | ( op2(e23,e20) = e23 ) )
    & ( ( op2(e23,e21) = e20 )
      | ( op2(e23,e21) = e21 )
      | ( op2(e23,e21) = e22 )
      | ( op2(e23,e21) = e23 ) )
    & ( ( op2(e23,e22) = e20 )
      | ( op2(e23,e22) = e21 )
      | ( op2(e23,e22) = e22 )
      | ( op2(e23,e22) = e23 ) ) ),
    inference(and_elim,[status(thm)],[133]) ).

tff(135,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e20) = e21 )
      | ( op2(e23,e20) = e22 )
      | ( op2(e23,e20) = e23 ) )
    & ( ( op2(e23,e21) = e20 )
      | ( op2(e23,e21) = e21 )
      | ( op2(e23,e21) = e22 )
      | ( op2(e23,e21) = e23 ) ) ),
    inference(and_elim,[status(thm)],[134]) ).

tff(136,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e20) = e21 )
      | ( op2(e23,e20) = e22 )
      | ( op2(e23,e20) = e23 ) ) ),
    inference(and_elim,[status(thm)],[135]) ).

tff(137,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) ) ),
    inference(and_elim,[status(thm)],[136]) ).

tff(138,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) ) ),
    inference(and_elim,[status(thm)],[137]) ).

tff(139,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) ) ),
    inference(and_elim,[status(thm)],[138]) ).

tff(140,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) ) ),
    inference(and_elim,[status(thm)],[139]) ).

tff(141,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) ) ),
    inference(and_elim,[status(thm)],[140]) ).

tff(142,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) ) ),
    inference(and_elim,[status(thm)],[141]) ).

tff(143,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) ) ),
    inference(and_elim,[status(thm)],[142]) ).

tff(144,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) ) ),
    inference(and_elim,[status(thm)],[143]) ).

tff(145,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) ) ),
    inference(and_elim,[status(thm)],[144]) ).

tff(146,plain,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) ) ),
    inference(and_elim,[status(thm)],[145]) ).

tff(147,plain,
    ( ( op2(e20,e22) = e20 )
    | ( op2(e20,e22) = e21 )
    | ( op2(e20,e22) = e22 )
    | ( op2(e20,e22) = e23 ) ),
    inference(and_elim,[status(thm)],[146]) ).

tff(148,plain,
    ( ( op2(e20,e22) = e20 )
    | ( op2(e20,e22) = e21 )
    | ( op2(e20,e22) = e22 )
    | ( op2(e20,e22) = e23 ) ),
    inference(modus_ponens,[status(thm)],[147,132]) ).

tff(149,plain,
    ( ( op2(e20,e22) = e20 )
    | ( op2(e20,e22) = e21 )
    | ( op2(e20,e22) = e22 )
    | ( op2(e20,e22) = e23 ) ),
    inference(modus_ponens,[status(thm)],[148,128]) ).

tff(150,plain,
    op2(e20,e22) = e22,
    inference(unit_resolution,[status(thm)],[149,127,116,106]) ).

tff(151,plain,
    e22 = op2(e20,e22),
    inference(symmetry,[status(thm)],[150]) ).

tff(152,plain,
    e22 = op2(e21,e23),
    inference(transitivity,[status(thm)],[151,65,54,13]) ).

tff(153,plain,
    op2(e22,e22) = op2(op2(e21,e23),e22),
    inference(monotonicity,[status(thm)],[152]) ).

tff(154,plain,
    op2(op2(e21,e23),e22) = op2(e22,e22),
    inference(symmetry,[status(thm)],[153]) ).

tff(155,plain,
    ( ( op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)) )
  <=> ( op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(156,plain,
    op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
    inference(and_elim,[status(thm)],[48]) ).

tff(157,plain,
    op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
    inference(modus_ponens,[status(thm)],[156,155]) ).

tff(158,plain,
    op2(e21,op2(e23,e22)) = op2(op2(e21,e23),e22),
    inference(symmetry,[status(thm)],[157]) ).

tff(159,plain,
    op2(e21,op2(e23,e22)) = op2(e21,e21),
    inference(monotonicity,[status(thm)],[121]) ).

tff(160,plain,
    op2(e21,e21) = op2(e21,op2(e23,e22)),
    inference(symmetry,[status(thm)],[159]) ).

tff(161,plain,
    op2(e21,e21) = e23,
    inference(transitivity,[status(thm)],[160,158,154,11]) ).

tff(162,plain,
    h2(e13) = e23,
    inference(modus_ponens,[status(thm)],[161,6]) ).

tff(163,plain,
    ( ( h1(e13) = op2(e20,e20) )
  <=> ( h1(e13) = op2(e20,e20) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(164,axiom,
    ( ( h1(e12) = e20 )
    & ( h1(e10) = op2(op2(e20,op2(e20,e20)),e20) )
    & ( h1(e11) = op2(e20,op2(e20,e20)) )
    & ( h1(e13) = op2(e20,e20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

tff(165,plain,
    h1(e13) = op2(e20,e20),
    inference(and_elim,[status(thm)],[164]) ).

tff(166,plain,
    h1(e13) = op2(e20,e20),
    inference(modus_ponens,[status(thm)],[165,163]) ).

tff(167,plain,
    op2(e20,e20) = h1(e13),
    inference(symmetry,[status(thm)],[166]) ).

tff(168,plain,
    op2(op2(e23,e22),e22) = op2(e21,e22),
    inference(monotonicity,[status(thm)],[121]) ).

tff(169,plain,
    ( ( op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)) )
  <=> ( op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(170,plain,
    op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
    inference(and_elim,[status(thm)],[20]) ).

tff(171,plain,
    op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
    inference(modus_ponens,[status(thm)],[170,169]) ).

tff(172,plain,
    op2(e23,op2(e22,e22)) = op2(op2(e23,e22),e22),
    inference(symmetry,[status(thm)],[171]) ).

tff(173,plain,
    op2(e23,e23) = op2(e23,op2(e22,e22)),
    inference(monotonicity,[status(thm)],[10]) ).

tff(174,plain,
    op2(op2(e22,e22),e23) = op2(e23,e23),
    inference(monotonicity,[status(thm)],[11]) ).

tff(175,plain,
    ( ( op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)) )
  <=> ( op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(176,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    inference(and_elim,[status(thm)],[35]) ).

tff(177,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    inference(modus_ponens,[status(thm)],[176,175]) ).

tff(178,plain,
    op2(e22,op2(e22,e23)) = op2(op2(e22,e22),e23),
    inference(symmetry,[status(thm)],[177]) ).

tff(179,plain,
    op2(e22,op2(e22,e22)) = op2(e22,e23),
    inference(monotonicity,[status(thm)],[11]) ).

tff(180,plain,
    e21 = op2(e22,e23),
    inference(transitivity,[status(thm)],[58,179]) ).

tff(181,plain,
    op2(e22,e21) = op2(e22,op2(e22,e23)),
    inference(monotonicity,[status(thm)],[180]) ).

tff(182,plain,
    op2(e22,e21) = e20,
    inference(transitivity,[status(thm)],[181,178,174,173,172,168,108,107]) ).

tff(183,plain,
    op2(e20,op2(e22,e21)) = op2(e20,e20),
    inference(monotonicity,[status(thm)],[182]) ).

tff(184,plain,
    ( ( op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)) )
  <=> ( op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(185,plain,
    ( ( 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,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,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,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(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,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,e22),e20) = op2(e21,op2(e22,e20)) )
    & ( op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21)) ) ),
    inference(and_elim,[status(thm)],[52]) ).

tff(186,plain,
    ( ( 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,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,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,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(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,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,e22),e20) = op2(e21,op2(e22,e20)) ) ),
    inference(and_elim,[status(thm)],[185]) ).

tff(187,plain,
    ( ( 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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[186]) ).

tff(188,plain,
    ( ( 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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[187]) ).

tff(189,plain,
    ( ( 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,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,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,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(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,e21),e20) = op2(e21,op2(e21,e20)) )
    & ( op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)) ) ),
    inference(and_elim,[status(thm)],[188]) ).

tff(190,plain,
    ( ( 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,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,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,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(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,e21),e20) = op2(e21,op2(e21,e20)) ) ),
    inference(and_elim,[status(thm)],[189]) ).

tff(191,plain,
    ( ( 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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[190]) ).

tff(192,plain,
    ( ( 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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[191]) ).

tff(193,plain,
    ( ( 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,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,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,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(e21,e20),e20) = op2(e21,op2(e20,e20)) )
    & ( op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)) ) ),
    inference(and_elim,[status(thm)],[192]) ).

tff(194,plain,
    ( ( 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,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,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,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(e21,e20),e20) = op2(e21,op2(e20,e20)) ) ),
    inference(and_elim,[status(thm)],[193]) ).

tff(195,plain,
    ( ( 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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[194]) ).

tff(196,plain,
    ( ( 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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[195]) ).

tff(197,plain,
    ( ( 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,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,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,e23),e20) = op2(e20,op2(e23,e20)) )
    & ( op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)) ) ),
    inference(and_elim,[status(thm)],[196]) ).

tff(198,plain,
    ( ( 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,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,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,e23),e20) = op2(e20,op2(e23,e20)) ) ),
    inference(and_elim,[status(thm)],[197]) ).

tff(199,plain,
    ( ( 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,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,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)) ) ),
    inference(and_elim,[status(thm)],[198]) ).

tff(200,plain,
    ( ( 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,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,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)) ) ),
    inference(and_elim,[status(thm)],[199]) ).

tff(201,plain,
    ( ( 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,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,e22),e20) = op2(e20,op2(e22,e20)) )
    & ( op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)) ) ),
    inference(and_elim,[status(thm)],[200]) ).

tff(202,plain,
    op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
    inference(and_elim,[status(thm)],[201]) ).

tff(203,plain,
    op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
    inference(modus_ponens,[status(thm)],[202,184]) ).

tff(204,plain,
    op2(op2(e21,e22),e22) = op2(e20,e22),
    inference(symmetry,[status(thm)],[65]) ).

tff(205,plain,
    op2(e21,op2(e22,e22)) = op2(op2(e21,e22),e22),
    inference(symmetry,[status(thm)],[54]) ).

tff(206,plain,
    op2(e21,e23) = op2(e20,e22),
    inference(transitivity,[status(thm)],[12,205,204]) ).

tff(207,plain,
    op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21),
    inference(monotonicity,[status(thm)],[206]) ).

tff(208,plain,
    op2(e21,e23) = e22,
    inference(transitivity,[status(thm)],[12,205,204,150]) ).

tff(209,plain,
    op2(e20,op2(e21,e23)) = op2(e20,e22),
    inference(monotonicity,[status(thm)],[208]) ).

tff(210,plain,
    op2(op2(e23,e22),e23) = op2(e21,e23),
    inference(monotonicity,[status(thm)],[121]) ).

tff(211,plain,
    ( ( op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)) )
  <=> ( op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(212,plain,
    op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
    inference(and_elim,[status(thm)],[19]) ).

tff(213,plain,
    op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
    inference(modus_ponens,[status(thm)],[212,211]) ).

tff(214,plain,
    op2(e23,op2(e22,e23)) = op2(op2(e23,e22),e23),
    inference(symmetry,[status(thm)],[213]) ).

tff(215,plain,
    op2(e23,e21) = op2(e23,op2(e22,e23)),
    inference(monotonicity,[status(thm)],[180]) ).

tff(216,plain,
    op2(e23,e21) = op2(e21,e23),
    inference(transitivity,[status(thm)],[215,214,210]) ).

tff(217,plain,
    op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)),
    inference(monotonicity,[status(thm)],[216]) ).

tff(218,plain,
    ( ( op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)) )
  <=> ( op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(219,plain,
    op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
    inference(and_elim,[status(thm)],[197]) ).

tff(220,plain,
    op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
    inference(modus_ponens,[status(thm)],[219,218]) ).

tff(221,plain,
    op2(e20,e23) = op2(op2(e21,e22),e23),
    inference(monotonicity,[status(thm)],[64]) ).

tff(222,plain,
    op2(op2(e21,e22),e23) = op2(e20,e23),
    inference(symmetry,[status(thm)],[221]) ).

tff(223,plain,
    ( ( op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)) )
  <=> ( op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(224,plain,
    op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
    inference(and_elim,[status(thm)],[51]) ).

tff(225,plain,
    op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
    inference(modus_ponens,[status(thm)],[224,223]) ).

tff(226,plain,
    op2(e21,op2(e22,e23)) = op2(op2(e21,e22),e23),
    inference(symmetry,[status(thm)],[225]) ).

tff(227,plain,
    op2(e22,e23) = op2(e22,op2(e22,e22)),
    inference(symmetry,[status(thm)],[179]) ).

tff(228,plain,
    op2(e22,e23) = e21,
    inference(transitivity,[status(thm)],[227,59]) ).

tff(229,plain,
    op2(e21,op2(e22,e23)) = op2(e21,e21),
    inference(monotonicity,[status(thm)],[228]) ).

tff(230,plain,
    op2(e21,e21) = op2(e21,op2(e22,e23)),
    inference(symmetry,[status(thm)],[229]) ).

tff(231,plain,
    op2(e21,e21) = op2(e20,e23),
    inference(transitivity,[status(thm)],[230,226,222]) ).

tff(232,plain,
    op2(op2(e21,e21),e21) = op2(op2(e20,e23),e21),
    inference(monotonicity,[status(thm)],[231]) ).

tff(233,plain,
    ( ( op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)) )
  <=> ( op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(234,plain,
    op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
    inference(and_elim,[status(thm)],[189]) ).

tff(235,plain,
    op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
    inference(modus_ponens,[status(thm)],[234,233]) ).

tff(236,plain,
    op2(e21,op2(e21,e21)) = op2(op2(e21,e21),e21),
    inference(symmetry,[status(thm)],[235]) ).

tff(237,plain,
    op2(e21,op2(e21,e21)) = op2(e21,e23),
    inference(transitivity,[status(thm)],[236,232,220,217,209,65,54,13]) ).

tff(238,plain,
    op2(op2(e21,op2(e21,e21)),e21) = op2(op2(e21,e23),e21),
    inference(monotonicity,[status(thm)],[237]) ).

tff(239,plain,
    ( ( h2(e10) = op2(op2(e21,op2(e21,e21)),e21) )
  <=> ( h2(e10) = op2(op2(e21,op2(e21,e21)),e21) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(240,plain,
    ( ( h2(e12) = e21 )
    & ( h2(e10) = op2(op2(e21,op2(e21,e21)),e21) )
    & ( h2(e11) = op2(e21,op2(e21,e21)) ) ),
    inference(and_elim,[status(thm)],[2]) ).

tff(241,plain,
    ( ( h2(e12) = e21 )
    & ( h2(e10) = op2(op2(e21,op2(e21,e21)),e21) ) ),
    inference(and_elim,[status(thm)],[240]) ).

tff(242,plain,
    h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
    inference(and_elim,[status(thm)],[241]) ).

tff(243,plain,
    h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
    inference(modus_ponens,[status(thm)],[242,239]) ).

tff(244,plain,
    h2(e10) = h1(e13),
    inference(transitivity,[status(thm)],[243,238,207,203,183,167]) ).

tff(245,plain,
    op2(h2(e10),h2(e10)) = op2(h1(e13),h1(e13)),
    inference(monotonicity,[status(thm)],[244,244]) ).

tff(246,plain,
    op2(h1(e13),h1(e13)) = op2(h2(e10),h2(e10)),
    inference(symmetry,[status(thm)],[245]) ).

tff(247,plain,
    op2(e21,e22) = op2(e21,op2(e21,e23)),
    inference(monotonicity,[status(thm)],[152]) ).

tff(248,plain,
    op2(e21,op2(e21,e23)) = op2(e21,e22),
    inference(symmetry,[status(thm)],[247]) ).

tff(249,plain,
    ( ( op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)) )
  <=> ( op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(250,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
    inference(and_elim,[status(thm)],[187]) ).

tff(251,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
    inference(modus_ponens,[status(thm)],[250,249]) ).

tff(252,plain,
    op2(op2(e21,e21),e23) = op2(op2(e20,e23),e23),
    inference(monotonicity,[status(thm)],[231]) ).

tff(253,plain,
    op2(op2(e20,e23),e23) = op2(op2(e21,e21),e23),
    inference(symmetry,[status(thm)],[252]) ).

tff(254,plain,
    ( ( op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)) )
  <=> ( op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(255,plain,
    op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
    inference(and_elim,[status(thm)],[195]) ).

tff(256,plain,
    op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
    inference(modus_ponens,[status(thm)],[255,254]) ).

tff(257,plain,
    op2(e20,op2(e23,e23)) = op2(op2(e20,e23),e23),
    inference(symmetry,[status(thm)],[256]) ).

tff(258,plain,
    op2(e23,e23) = e20,
    inference(transitivity,[status(thm)],[173,172,168,108,107]) ).

tff(259,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(monotonicity,[status(thm)],[258]) ).

tff(260,plain,
    op2(e20,e20) = op2(e20,op2(e23,e23)),
    inference(symmetry,[status(thm)],[259]) ).

tff(261,plain,
    h1(e13) = e20,
    inference(transitivity,[status(thm)],[166,260,257,253,251,248,108,107]) ).

tff(262,plain,
    op2(h1(e13),h1(e13)) = op2(e20,e20),
    inference(monotonicity,[status(thm)],[261,261]) ).

tff(263,plain,
    op2(e20,e20) = op2(h1(e13),h1(e13)),
    inference(symmetry,[status(thm)],[262]) ).

tff(264,plain,
    ( ( e10 = op1(op1(e12,op1(e12,e12)),e12) )
  <=> ( e10 = op1(op1(e12,op1(e12,e12)),e12) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(265,axiom,
    ( ( e10 = op1(op1(e12,op1(e12,e12)),e12) )
    & ( e11 = op1(e12,op1(e12,e12)) )
    & ( e13 = op1(e12,e12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

tff(266,plain,
    ( ( e10 = op1(op1(e12,op1(e12,e12)),e12) )
    & ( e11 = op1(e12,op1(e12,e12)) ) ),
    inference(and_elim,[status(thm)],[265]) ).

tff(267,plain,
    e10 = op1(op1(e12,op1(e12,e12)),e12),
    inference(and_elim,[status(thm)],[266]) ).

tff(268,plain,
    e10 = op1(op1(e12,op1(e12,e12)),e12),
    inference(modus_ponens,[status(thm)],[267,264]) ).

tff(269,plain,
    op1(op1(e12,op1(e12,e12)),e12) = e10,
    inference(symmetry,[status(thm)],[268]) ).

tff(270,plain,
    ( ( e11 = op1(e12,op1(e12,e12)) )
  <=> ( e11 = op1(e12,op1(e12,e12)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(271,plain,
    e11 = op1(e12,op1(e12,e12)),
    inference(and_elim,[status(thm)],[266]) ).

tff(272,plain,
    e11 = op1(e12,op1(e12,e12)),
    inference(modus_ponens,[status(thm)],[271,270]) ).

tff(273,plain,
    op1(e12,op1(e12,e12)) = e11,
    inference(symmetry,[status(thm)],[272]) ).

tff(274,plain,
    op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
    inference(monotonicity,[status(thm)],[273]) ).

tff(275,plain,
    op1(e11,e12) = op1(op1(e12,op1(e12,e12)),e12),
    inference(symmetry,[status(thm)],[274]) ).

tff(276,plain,
    ( ( e13 = op1(e12,e12) )
  <=> ( e13 = op1(e12,e12) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(277,plain,
    e13 = op1(e12,e12),
    inference(and_elim,[status(thm)],[265]) ).

tff(278,plain,
    e13 = op1(e12,e12),
    inference(modus_ponens,[status(thm)],[277,276]) ).

tff(279,plain,
    op1(e11,e13) = op1(e11,op1(e12,e12)),
    inference(monotonicity,[status(thm)],[278]) ).

tff(280,plain,
    op1(e11,op1(e12,e12)) = op1(e11,e13),
    inference(symmetry,[status(thm)],[279]) ).

tff(281,plain,
    ( ( op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)) )
  <=> ( op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(282,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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(283,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[282]) ).

tff(284,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,e13),e10) = op1(e13,op1(e13,e10)) )
    & ( op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)) ) ),
    inference(and_elim,[status(thm)],[283]) ).

tff(285,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,e13),e10) = op1(e13,op1(e13,e10)) ) ),
    inference(and_elim,[status(thm)],[284]) ).

tff(286,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[285]) ).

tff(287,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[286]) ).

tff(288,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,e12),e10) = op1(e13,op1(e12,e10)) )
    & ( op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11)) ) ),
    inference(and_elim,[status(thm)],[287]) ).

tff(289,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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,e12),e10) = op1(e13,op1(e12,e10)) ) ),
    inference(and_elim,[status(thm)],[288]) ).

tff(290,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[289]) ).

tff(291,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[290]) ).

tff(292,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,e11),e10) = op1(e13,op1(e11,e10)) )
    & ( op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11)) ) ),
    inference(and_elim,[status(thm)],[291]) ).

tff(293,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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,e11),e10) = op1(e13,op1(e11,e10)) ) ),
    inference(and_elim,[status(thm)],[292]) ).

tff(294,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[293]) ).

tff(295,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[294]) ).

tff(296,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(e13,e10),e10) = op1(e13,op1(e10,e10)) )
    & ( op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)) ) ),
    inference(and_elim,[status(thm)],[295]) ).

tff(297,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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(e13,e10),e10) = op1(e13,op1(e10,e10)) ) ),
    inference(and_elim,[status(thm)],[296]) ).

tff(298,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[297]) ).

tff(299,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[298]) ).

tff(300,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,e13),e10) = op1(e12,op1(e13,e10)) )
    & ( op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11)) ) ),
    inference(and_elim,[status(thm)],[299]) ).

tff(301,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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,e13),e10) = op1(e12,op1(e13,e10)) ) ),
    inference(and_elim,[status(thm)],[300]) ).

tff(302,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[301]) ).

tff(303,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[302]) ).

tff(304,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,e12),e10) = op1(e12,op1(e12,e10)) )
    & ( op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11)) ) ),
    inference(and_elim,[status(thm)],[303]) ).

tff(305,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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,e12),e10) = op1(e12,op1(e12,e10)) ) ),
    inference(and_elim,[status(thm)],[304]) ).

tff(306,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[305]) ).

tff(307,plain,
    ( ( 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,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,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,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(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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[306]) ).

tff(308,plain,
    ( ( 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,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,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,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(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,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,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,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(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,e11),e10) = op1(e12,op1(e11,e10)) )
    & ( op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)) ) ),
    inference(and_elim,[status(thm)],[307]) ).

tff(309,plain,
    ( ( 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,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,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,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(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,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,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,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(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,e11),e10) = op1(e12,op1(e11,e10)) ) ),
    inference(and_elim,[status(thm)],[308]) ).

tff(310,plain,
    ( ( 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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[309]) ).

tff(311,plain,
    ( ( 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,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,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,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(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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[310]) ).

tff(312,plain,
    ( ( 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,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,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,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(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,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,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,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(e12,e10),e10) = op1(e12,op1(e10,e10)) )
    & ( op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11)) ) ),
    inference(and_elim,[status(thm)],[311]) ).

tff(313,plain,
    ( ( 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,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,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,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(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,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,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,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(e12,e10),e10) = op1(e12,op1(e10,e10)) ) ),
    inference(and_elim,[status(thm)],[312]) ).

tff(314,plain,
    ( ( 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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[313]) ).

tff(315,plain,
    ( ( 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,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,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,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(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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[314]) ).

tff(316,plain,
    ( ( 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,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,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,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(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,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,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,e13),e10) = op1(e11,op1(e13,e10)) )
    & ( op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)) ) ),
    inference(and_elim,[status(thm)],[315]) ).

tff(317,plain,
    ( ( 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,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,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,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(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,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,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,e13),e10) = op1(e11,op1(e13,e10)) ) ),
    inference(and_elim,[status(thm)],[316]) ).

tff(318,plain,
    ( ( 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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[317]) ).

tff(319,plain,
    ( ( 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,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,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,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(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,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,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)) ) ),
    inference(and_elim,[status(thm)],[318]) ).

tff(320,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    inference(and_elim,[status(thm)],[319]) ).

tff(321,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    inference(modus_ponens,[status(thm)],[320,281]) ).

tff(322,plain,
    op1(e11,e12) = e10,
    inference(transitivity,[status(thm)],[275,269]) ).

tff(323,plain,
    op1(op1(e11,e12),e12) = op1(e10,e12),
    inference(monotonicity,[status(thm)],[322]) ).

tff(324,plain,
    op1(e10,e12) = op1(op1(e11,e12),e12),
    inference(symmetry,[status(thm)],[323]) ).

tff(325,plain,
    op1(e12,e12) = e13,
    inference(symmetry,[status(thm)],[278]) ).

tff(326,plain,
    ( ( op1(e10,e12) = op1(e12,e12) )
  <=> ( op1(e10,e12) = e13 ) ),
    inference(monotonicity,[status(thm)],[325]) ).

tff(327,plain,
    ( ( op1(e10,e12) != op1(e12,e12) )
  <=> ( op1(e10,e12) != e13 ) ),
    inference(monotonicity,[status(thm)],[326]) ).

tff(328,plain,
    ( ( op1(e10,e12) != op1(e12,e12) )
  <=> ( op1(e10,e12) != op1(e12,e12) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(329,axiom,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) )
    & ( op1(e13,e10) != op1(e13,e13) )
    & ( op1(e13,e11) != op1(e13,e12) )
    & ( op1(e13,e11) != op1(e13,e13) )
    & ( op1(e13,e12) != op1(e13,e13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

tff(330,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) )
    & ( op1(e13,e10) != op1(e13,e13) )
    & ( op1(e13,e11) != op1(e13,e12) )
    & ( op1(e13,e11) != op1(e13,e13) ) ),
    inference(and_elim,[status(thm)],[329]) ).

tff(331,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) )
    & ( op1(e13,e10) != op1(e13,e13) )
    & ( op1(e13,e11) != op1(e13,e12) ) ),
    inference(and_elim,[status(thm)],[330]) ).

tff(332,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) )
    & ( op1(e13,e10) != op1(e13,e13) ) ),
    inference(and_elim,[status(thm)],[331]) ).

tff(333,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) ) ),
    inference(and_elim,[status(thm)],[332]) ).

tff(334,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) ) ),
    inference(and_elim,[status(thm)],[333]) ).

tff(335,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) ) ),
    inference(and_elim,[status(thm)],[334]) ).

tff(336,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) ) ),
    inference(and_elim,[status(thm)],[335]) ).

tff(337,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) ) ),
    inference(and_elim,[status(thm)],[336]) ).

tff(338,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) ) ),
    inference(and_elim,[status(thm)],[337]) ).

tff(339,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) ) ),
    inference(and_elim,[status(thm)],[338]) ).

tff(340,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) ) ),
    inference(and_elim,[status(thm)],[339]) ).

tff(341,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) ) ),
    inference(and_elim,[status(thm)],[340]) ).

tff(342,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) ) ),
    inference(and_elim,[status(thm)],[341]) ).

tff(343,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) ) ),
    inference(and_elim,[status(thm)],[342]) ).

tff(344,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) ) ),
    inference(and_elim,[status(thm)],[343]) ).

tff(345,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) ) ),
    inference(and_elim,[status(thm)],[344]) ).

tff(346,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) ) ),
    inference(and_elim,[status(thm)],[345]) ).

tff(347,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) ) ),
    inference(and_elim,[status(thm)],[346]) ).

tff(348,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) ) ),
    inference(and_elim,[status(thm)],[347]) ).

tff(349,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) ) ),
    inference(and_elim,[status(thm)],[348]) ).

tff(350,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) ) ),
    inference(and_elim,[status(thm)],[349]) ).

tff(351,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) ) ),
    inference(and_elim,[status(thm)],[350]) ).

tff(352,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) ) ),
    inference(and_elim,[status(thm)],[351]) ).

tff(353,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) ) ),
    inference(and_elim,[status(thm)],[352]) ).

tff(354,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) ) ),
    inference(and_elim,[status(thm)],[353]) ).

tff(355,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) ) ),
    inference(and_elim,[status(thm)],[354]) ).

tff(356,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) ) ),
    inference(and_elim,[status(thm)],[355]) ).

tff(357,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) ) ),
    inference(and_elim,[status(thm)],[356]) ).

tff(358,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) ) ),
    inference(and_elim,[status(thm)],[357]) ).

tff(359,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) ) ),
    inference(and_elim,[status(thm)],[358]) ).

tff(360,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) ) ),
    inference(and_elim,[status(thm)],[359]) ).

tff(361,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) ) ),
    inference(and_elim,[status(thm)],[360]) ).

tff(362,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) ) ),
    inference(and_elim,[status(thm)],[361]) ).

tff(363,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) ) ),
    inference(and_elim,[status(thm)],[362]) ).

tff(364,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(and_elim,[status(thm)],[363]) ).

tff(365,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(modus_ponens,[status(thm)],[364,328]) ).

tff(366,plain,
    op1(e10,e12) != e13,
    inference(modus_ponens,[status(thm)],[365,327]) ).

tff(367,plain,
    ( ( op1(e10,e12) = op1(e11,e12) )
  <=> ( op1(e10,e12) = e10 ) ),
    inference(monotonicity,[status(thm)],[322]) ).

tff(368,plain,
    ( ( op1(e10,e12) != op1(e11,e12) )
  <=> ( op1(e10,e12) != e10 ) ),
    inference(monotonicity,[status(thm)],[367]) ).

tff(369,plain,
    ( ( op1(e10,e12) != op1(e11,e12) )
  <=> ( op1(e10,e12) != op1(e11,e12) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(370,plain,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) ) ),
    inference(and_elim,[status(thm)],[363]) ).

tff(371,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(and_elim,[status(thm)],[370]) ).

tff(372,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(modus_ponens,[status(thm)],[371,369]) ).

tff(373,plain,
    op1(e10,e12) != e10,
    inference(modus_ponens,[status(thm)],[372,368]) ).

tff(374,plain,
    ( ( op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)) )
  <=> ( op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(375,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    inference(and_elim,[status(thm)],[303]) ).

tff(376,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    inference(modus_ponens,[status(thm)],[375,374]) ).

tff(377,plain,
    op1(e13,e12) = op1(op1(e12,e12),e12),
    inference(monotonicity,[status(thm)],[278]) ).

tff(378,plain,
    op1(e13,e12) = e11,
    inference(transitivity,[status(thm)],[377,376,273]) ).

tff(379,plain,
    ( ( op1(e10,e12) = op1(e13,e12) )
  <=> ( op1(e10,e12) = e11 ) ),
    inference(monotonicity,[status(thm)],[378]) ).

tff(380,plain,
    ( ( op1(e10,e12) != op1(e13,e12) )
  <=> ( op1(e10,e12) != e11 ) ),
    inference(monotonicity,[status(thm)],[379]) ).

tff(381,plain,
    ( ( op1(e10,e12) != op1(e13,e12) )
  <=> ( op1(e10,e12) != op1(e13,e12) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(382,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(and_elim,[status(thm)],[362]) ).

tff(383,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(modus_ponens,[status(thm)],[382,381]) ).

tff(384,plain,
    op1(e10,e12) != e11,
    inference(modus_ponens,[status(thm)],[383,380]) ).

tff(385,plain,
    ( ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
  <=> ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(386,plain,
    ( ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
  <=> ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(387,plain,
    ( ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 ) )
  <=> ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(388,plain,
    ( ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
  <=> ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) ) ),
    inference(monotonicity,[status(thm)],[387]) ).

tff(389,plain,
    ( ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
  <=> ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) ) ),
    inference(transitivity,[status(thm)],[388,386]) ).

tff(390,axiom,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e10) = e11 )
      | ( op1(e13,e10) = e12 )
      | ( op1(e13,e10) = e13 ) )
    & ( ( op1(e13,e11) = e10 )
      | ( op1(e13,e11) = e11 )
      | ( op1(e13,e11) = e12 )
      | ( op1(e13,e11) = e13 ) )
    & ( ( op1(e13,e12) = e10 )
      | ( op1(e13,e12) = e11 )
      | ( op1(e13,e12) = e12 )
      | ( op1(e13,e12) = e13 ) )
    & ( ( op1(e13,e13) = e10 )
      | ( op1(e13,e13) = e11 )
      | ( op1(e13,e13) = e12 )
      | ( op1(e13,e13) = e13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(391,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e10) = e11 )
      | ( op1(e13,e10) = e12 )
      | ( op1(e13,e10) = e13 ) )
    & ( ( op1(e13,e11) = e10 )
      | ( op1(e13,e11) = e11 )
      | ( op1(e13,e11) = e12 )
      | ( op1(e13,e11) = e13 ) )
    & ( ( op1(e13,e12) = e10 )
      | ( op1(e13,e12) = e11 )
      | ( op1(e13,e12) = e12 )
      | ( op1(e13,e12) = e13 ) ) ),
    inference(and_elim,[status(thm)],[390]) ).

tff(392,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e10) = e11 )
      | ( op1(e13,e10) = e12 )
      | ( op1(e13,e10) = e13 ) )
    & ( ( op1(e13,e11) = e10 )
      | ( op1(e13,e11) = e11 )
      | ( op1(e13,e11) = e12 )
      | ( op1(e13,e11) = e13 ) ) ),
    inference(and_elim,[status(thm)],[391]) ).

tff(393,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e10) = e11 )
      | ( op1(e13,e10) = e12 )
      | ( op1(e13,e10) = e13 ) ) ),
    inference(and_elim,[status(thm)],[392]) ).

tff(394,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) ) ),
    inference(and_elim,[status(thm)],[393]) ).

tff(395,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) ) ),
    inference(and_elim,[status(thm)],[394]) ).

tff(396,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) ) ),
    inference(and_elim,[status(thm)],[395]) ).

tff(397,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) ) ),
    inference(and_elim,[status(thm)],[396]) ).

tff(398,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) ) ),
    inference(and_elim,[status(thm)],[397]) ).

tff(399,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) ) ),
    inference(and_elim,[status(thm)],[398]) ).

tff(400,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) ) ),
    inference(and_elim,[status(thm)],[399]) ).

tff(401,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) ) ),
    inference(and_elim,[status(thm)],[400]) ).

tff(402,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) ) ),
    inference(and_elim,[status(thm)],[401]) ).

tff(403,plain,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) ) ),
    inference(and_elim,[status(thm)],[402]) ).

tff(404,plain,
    ( ( op1(e10,e12) = e10 )
    | ( op1(e10,e12) = e11 )
    | ( op1(e10,e12) = e12 )
    | ( op1(e10,e12) = e13 ) ),
    inference(and_elim,[status(thm)],[403]) ).

tff(405,plain,
    ( ( op1(e10,e12) = e10 )
    | ( op1(e10,e12) = e11 )
    | ( op1(e10,e12) = e12 )
    | ( op1(e10,e12) = e13 ) ),
    inference(modus_ponens,[status(thm)],[404,389]) ).

tff(406,plain,
    ( ( op1(e10,e12) = e10 )
    | ( op1(e10,e12) = e11 )
    | ( op1(e10,e12) = e12 )
    | ( op1(e10,e12) = e13 ) ),
    inference(modus_ponens,[status(thm)],[405,385]) ).

tff(407,plain,
    op1(e10,e12) = e12,
    inference(unit_resolution,[status(thm)],[406,384,373,366]) ).

tff(408,plain,
    e12 = op1(e10,e12),
    inference(symmetry,[status(thm)],[407]) ).

tff(409,plain,
    e12 = op1(e11,e13),
    inference(transitivity,[status(thm)],[408,324,321,280]) ).

tff(410,plain,
    op1(e11,e12) = op1(e11,op1(e11,e13)),
    inference(monotonicity,[status(thm)],[409]) ).

tff(411,plain,
    op1(e11,op1(e11,e13)) = op1(e11,e12),
    inference(symmetry,[status(thm)],[410]) ).

tff(412,plain,
    ( ( op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)) )
  <=> ( op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(413,plain,
    ( ( 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,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,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,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(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,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,e12),e10) = op1(e11,op1(e12,e10)) )
    & ( op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)) ) ),
    inference(and_elim,[status(thm)],[319]) ).

tff(414,plain,
    ( ( 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,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,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,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(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,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,e12),e10) = op1(e11,op1(e12,e10)) ) ),
    inference(and_elim,[status(thm)],[413]) ).

tff(415,plain,
    ( ( 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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[414]) ).

tff(416,plain,
    op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
    inference(and_elim,[status(thm)],[415]) ).

tff(417,plain,
    op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
    inference(modus_ponens,[status(thm)],[416,412]) ).

tff(418,plain,
    e10 = op1(e11,e12),
    inference(transitivity,[status(thm)],[268,274]) ).

tff(419,plain,
    op1(e10,e13) = op1(op1(e11,e12),e13),
    inference(monotonicity,[status(thm)],[418]) ).

tff(420,plain,
    op1(op1(e11,e12),e13) = op1(e10,e13),
    inference(symmetry,[status(thm)],[419]) ).

tff(421,plain,
    ( ( op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)) )
  <=> ( op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(422,plain,
    op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
    inference(and_elim,[status(thm)],[318]) ).

tff(423,plain,
    op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
    inference(modus_ponens,[status(thm)],[422,421]) ).

tff(424,plain,
    op1(e11,op1(e12,e13)) = op1(op1(e11,e12),e13),
    inference(symmetry,[status(thm)],[423]) ).

tff(425,plain,
    op1(e12,op1(e12,e12)) = op1(e12,e13),
    inference(monotonicity,[status(thm)],[325]) ).

tff(426,plain,
    op1(e12,e13) = op1(e12,op1(e12,e12)),
    inference(symmetry,[status(thm)],[425]) ).

tff(427,plain,
    op1(e12,e13) = e11,
    inference(transitivity,[status(thm)],[426,273]) ).

tff(428,plain,
    op1(e11,op1(e12,e13)) = op1(e11,e11),
    inference(monotonicity,[status(thm)],[427]) ).

tff(429,plain,
    op1(e11,e11) = op1(e11,op1(e12,e13)),
    inference(symmetry,[status(thm)],[428]) ).

tff(430,plain,
    op1(e11,e11) = op1(e10,e13),
    inference(transitivity,[status(thm)],[429,424,420]) ).

tff(431,plain,
    op1(op1(e11,e11),e13) = op1(op1(e10,e13),e13),
    inference(monotonicity,[status(thm)],[430]) ).

tff(432,plain,
    op1(op1(e10,e13),e13) = op1(op1(e11,e11),e13),
    inference(symmetry,[status(thm)],[431]) ).

tff(433,plain,
    ( ( op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)) )
  <=> ( op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(434,plain,
    ( ( 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,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,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,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(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,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)) ) ),
    inference(and_elim,[status(thm)],[415]) ).

tff(435,plain,
    ( ( 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,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,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,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(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,e11),e10) = op1(e11,op1(e11,e10)) )
    & ( op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)) ) ),
    inference(and_elim,[status(thm)],[434]) ).

tff(436,plain,
    ( ( 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,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,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,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(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,e11),e10) = op1(e11,op1(e11,e10)) ) ),
    inference(and_elim,[status(thm)],[435]) ).

tff(437,plain,
    ( ( 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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[436]) ).

tff(438,plain,
    ( ( 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,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,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,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(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)) ) ),
    inference(and_elim,[status(thm)],[437]) ).

tff(439,plain,
    ( ( 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,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,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,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(e11,e10),e10) = op1(e11,op1(e10,e10)) )
    & ( op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11)) ) ),
    inference(and_elim,[status(thm)],[438]) ).

tff(440,plain,
    ( ( 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,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,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,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(e11,e10),e10) = op1(e11,op1(e10,e10)) ) ),
    inference(and_elim,[status(thm)],[439]) ).

tff(441,plain,
    ( ( 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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[440]) ).

tff(442,plain,
    op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)),
    inference(and_elim,[status(thm)],[441]) ).

tff(443,plain,
    op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)),
    inference(modus_ponens,[status(thm)],[442,433]) ).

tff(444,plain,
    op1(e10,op1(e13,e13)) = op1(op1(e10,e13),e13),
    inference(symmetry,[status(thm)],[443]) ).

tff(445,plain,
    op1(op1(e13,e12),e12) = op1(e11,e12),
    inference(monotonicity,[status(thm)],[378]) ).

tff(446,plain,
    ( ( op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)) )
  <=> ( op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(447,plain,
    op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
    inference(and_elim,[status(thm)],[287]) ).

tff(448,plain,
    op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
    inference(modus_ponens,[status(thm)],[447,446]) ).

tff(449,plain,
    op1(e13,op1(e12,e12)) = op1(op1(e13,e12),e12),
    inference(symmetry,[status(thm)],[448]) ).

tff(450,plain,
    op1(e13,e13) = op1(e13,op1(e12,e12)),
    inference(monotonicity,[status(thm)],[278]) ).

tff(451,plain,
    op1(e13,e13) = e10,
    inference(transitivity,[status(thm)],[450,449,445,275,269]) ).

tff(452,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(monotonicity,[status(thm)],[451]) ).

tff(453,plain,
    op1(e10,e10) = op1(e10,op1(e13,e13)),
    inference(symmetry,[status(thm)],[452]) ).

tff(454,plain,
    op1(e10,e10) = e10,
    inference(transitivity,[status(thm)],[453,444,432,417,411,275,269]) ).

tff(455,plain,
    h2(op1(e10,e10)) = h2(e10),
    inference(monotonicity,[status(thm)],[454]) ).

tff(456,plain,
    h2(op1(e10,e10)) = op2(h2(e10),h2(e10)),
    inference(transitivity,[status(thm)],[455,243,238,207,203,183,263,246]) ).

tff(457,plain,
    ( ( h2(e11) = op2(e21,op2(e21,e21)) )
  <=> ( h2(e11) = op2(e21,op2(e21,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(458,plain,
    h2(e11) = op2(e21,op2(e21,e21)),
    inference(and_elim,[status(thm)],[240]) ).

tff(459,plain,
    h2(e11) = op2(e21,op2(e21,e21)),
    inference(modus_ponens,[status(thm)],[458,457]) ).

tff(460,plain,
    h2(e11) = e22,
    inference(transitivity,[status(thm)],[459,236,232,220,217,209,150]) ).

tff(461,plain,
    ( ( h2(e10) = e22 )
    | ( h2(e11) = e22 )
    | ( h2(e12) = e22 )
    | ( h2(e13) = e22 )
    | ( h2(e11) != e22 ) ),
    inference(tautology,[status(thm)],[]) ).

tff(462,plain,
    ( ( h2(e10) = e22 )
    | ( h2(e11) = e22 )
    | ( h2(e12) = e22 )
    | ( h2(e13) = e22 ) ),
    inference(unit_resolution,[status(thm)],[461,460]) ).

tff(463,plain,
    h2(e10) = e20,
    inference(transitivity,[status(thm)],[243,238,207,203,183,260,257,253,251,248,108,107]) ).

tff(464,plain,
    ( ( h2(e10) = e20 )
    | ( h2(e11) = e20 )
    | ( h2(e12) = e20 )
    | ( h2(e13) = e20 )
    | ( h2(e10) != e20 ) ),
    inference(tautology,[status(thm)],[]) ).

tff(465,plain,
    ( ( h2(e10) = e20 )
    | ( h2(e11) = e20 )
    | ( h2(e12) = e20 )
    | ( h2(e13) = e20 ) ),
    inference(unit_resolution,[status(thm)],[464,463]) ).

tff(466,plain,
    op2(e21,e21) = h2(e13),
    inference(symmetry,[status(thm)],[4]) ).

tff(467,plain,
    op2(op2(e23,e23),e23) = op2(e20,e23),
    inference(monotonicity,[status(thm)],[258]) ).

tff(468,plain,
    ( ( op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) )
  <=> ( op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(469,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    inference(and_elim,[status(thm)],[15]) ).

tff(470,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    inference(modus_ponens,[status(thm)],[469,468]) ).

tff(471,plain,
    op2(e23,op2(e23,e23)) = op2(op2(e23,e23),e23),
    inference(symmetry,[status(thm)],[470]) ).

tff(472,plain,
    ( ( h4(e11) = op2(e23,op2(e23,e23)) )
  <=> ( h4(e11) = op2(e23,op2(e23,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(473,axiom,
    ( ( h4(e12) = e23 )
    & ( h4(e10) = op2(op2(e23,op2(e23,e23)),e23) )
    & ( h4(e11) = op2(e23,op2(e23,e23)) )
    & ( h4(e13) = op2(e23,e23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

tff(474,plain,
    ( ( h4(e12) = e23 )
    & ( h4(e10) = op2(op2(e23,op2(e23,e23)),e23) )
    & ( h4(e11) = op2(e23,op2(e23,e23)) ) ),
    inference(and_elim,[status(thm)],[473]) ).

tff(475,plain,
    h4(e11) = op2(e23,op2(e23,e23)),
    inference(and_elim,[status(thm)],[474]) ).

tff(476,plain,
    h4(e11) = op2(e23,op2(e23,e23)),
    inference(modus_ponens,[status(thm)],[475,472]) ).

tff(477,plain,
    h4(e11) = h2(e13),
    inference(transitivity,[status(thm)],[476,471,467,221,225,229,466]) ).

tff(478,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(monotonicity,[status(thm)],[477,477]) ).

tff(479,plain,
    op2(h2(e13),h2(e13)) = op2(h4(e11),h4(e11)),
    inference(symmetry,[status(thm)],[478]) ).

tff(480,plain,
    op1(e12,e12) = op1(op1(e11,e13),e12),
    inference(monotonicity,[status(thm)],[409]) ).

tff(481,plain,
    op1(op1(e11,e13),e12) = op1(e12,e12),
    inference(symmetry,[status(thm)],[480]) ).

tff(482,plain,
    ( ( op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)) )
  <=> ( op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(483,plain,
    op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
    inference(and_elim,[status(thm)],[315]) ).

tff(484,plain,
    op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
    inference(modus_ponens,[status(thm)],[483,482]) ).

tff(485,plain,
    op1(e11,op1(e13,e12)) = op1(op1(e11,e13),e12),
    inference(symmetry,[status(thm)],[484]) ).

tff(486,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(symmetry,[status(thm)],[377]) ).

tff(487,plain,
    op1(e12,op1(e12,e12)) = op1(op1(e12,e12),e12),
    inference(symmetry,[status(thm)],[376]) ).

tff(488,plain,
    e11 = op1(e13,e12),
    inference(transitivity,[status(thm)],[272,487,486]) ).

tff(489,plain,
    op1(e11,e11) = op1(e11,op1(e13,e12)),
    inference(monotonicity,[status(thm)],[488]) ).

tff(490,plain,
    op1(e11,e11) = e13,
    inference(transitivity,[status(thm)],[489,485,481,325]) ).

tff(491,plain,
    h4(op1(e11,e11)) = h4(e13),
    inference(monotonicity,[status(thm)],[490]) ).

tff(492,plain,
    h4(e13) = h4(op1(e11,e11)),
    inference(symmetry,[status(thm)],[491]) ).

tff(493,plain,
    ( ( h4(e13) = op2(e23,e23) )
  <=> ( h4(e13) = op2(e23,e23) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(494,plain,
    h4(e13) = op2(e23,e23),
    inference(and_elim,[status(thm)],[473]) ).

tff(495,plain,
    h4(e13) = op2(e23,e23),
    inference(modus_ponens,[status(thm)],[494,493]) ).

tff(496,plain,
    op2(e23,e23) = h4(e13),
    inference(symmetry,[status(thm)],[495]) ).

tff(497,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(symmetry,[status(thm)],[173]) ).

tff(498,plain,
    op2(e21,e22) = op2(op2(e23,e22),e22),
    inference(symmetry,[status(thm)],[168]) ).

tff(499,plain,
    h2(op1(e13,e13)) = h2(e10),
    inference(monotonicity,[status(thm)],[451]) ).

tff(500,plain,
    h2(op1(e13,e13)) = h4(op1(e11,e11)),
    inference(transitivity,[status(thm)],[499,243,238,207,203,183,260,257,253,251,248,498,171,497,496,492]) ).

tff(501,plain,
    ( ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
  <=> ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ) ),
    inference(monotonicity,[status(thm)],[500,479]) ).

tff(502,plain,
    ( ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
  <=> ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ) ),
    inference(symmetry,[status(thm)],[501]) ).

tff(503,plain,
    h2(e13) = e23,
    inference(transitivity,[status(thm)],[4,160,158,154,11]) ).

tff(504,plain,
    op2(h2(e13),h2(e13)) = op2(e23,e23),
    inference(monotonicity,[status(thm)],[503,503]) ).

tff(505,plain,
    op2(e23,e23) = op2(h2(e13),h2(e13)),
    inference(symmetry,[status(thm)],[504]) ).

tff(506,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(transitivity,[status(thm)],[491,495,505,479]) ).

tff(507,plain,
    h2(op1(e13,e13)) = op2(h2(e13),h2(e13)),
    inference(modus_ponens,[status(thm)],[506,502]) ).

tff(508,plain,
    ( ( h2(e12) = e21 )
  <=> ( h2(e12) = e21 ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(509,plain,
    h2(e12) = e21,
    inference(and_elim,[status(thm)],[241]) ).

tff(510,plain,
    h2(e12) = e21,
    inference(modus_ponens,[status(thm)],[509,508]) ).

tff(511,plain,
    op2(h2(e13),h2(e12)) = op2(op2(e21,e21),e21),
    inference(monotonicity,[status(thm)],[4,510]) ).

tff(512,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),h2(e12)),
    inference(symmetry,[status(thm)],[511]) ).

tff(513,plain,
    h2(op1(e13,e12)) = h2(e11),
    inference(monotonicity,[status(thm)],[378]) ).

tff(514,plain,
    h2(op1(e13,e12)) = op2(h2(e13),h2(e12)),
    inference(transitivity,[status(thm)],[513,459,236,512]) ).

tff(515,plain,
    op2(h2(e13),h2(e11)) = op2(op2(e21,e21),e22),
    inference(monotonicity,[status(thm)],[4,460]) ).

tff(516,plain,
    op2(op2(e21,e21),e22) = op2(h2(e13),h2(e11)),
    inference(symmetry,[status(thm)],[515]) ).

tff(517,plain,
    ( ( op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)) )
  <=> ( op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(518,plain,
    op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
    inference(and_elim,[status(thm)],[188]) ).

tff(519,plain,
    op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
    inference(modus_ponens,[status(thm)],[518,517]) ).

tff(520,plain,
    op2(e21,op2(e21,e22)) = op2(op2(e21,e21),e22),
    inference(symmetry,[status(thm)],[519]) ).

tff(521,plain,
    op2(e21,op2(e21,e22)) = op2(e21,e20),
    inference(monotonicity,[status(thm)],[109]) ).

tff(522,plain,
    op2(e21,e20) = op2(e21,op2(e21,e22)),
    inference(symmetry,[status(thm)],[521]) ).

tff(523,plain,
    e20 = op2(e23,e23),
    inference(transitivity,[status(thm)],[63,60,498,171,497]) ).

tff(524,plain,
    op2(e21,e20) = op2(e21,op2(e23,e23)),
    inference(monotonicity,[status(thm)],[523]) ).

tff(525,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e20),
    inference(symmetry,[status(thm)],[524]) ).

tff(526,plain,
    ( ( op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)) )
  <=> ( op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(527,plain,
    op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
    inference(and_elim,[status(thm)],[47]) ).

tff(528,plain,
    op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
    inference(modus_ponens,[status(thm)],[527,526]) ).

tff(529,plain,
    op2(e22,e23) = op2(op2(e21,e23),e23),
    inference(monotonicity,[status(thm)],[152]) ).

tff(530,plain,
    op1(e11,op1(e12,e12)) = op1(op1(e11,e12),e12),
    inference(symmetry,[status(thm)],[321]) ).

tff(531,plain,
    op1(e11,e13) = e12,
    inference(transitivity,[status(thm)],[279,530,323,407]) ).

tff(532,plain,
    h2(op1(e11,e13)) = h2(e12),
    inference(monotonicity,[status(thm)],[531]) ).

tff(533,plain,
    op1(op1(e13,e12),e13) = op1(e11,e13),
    inference(monotonicity,[status(thm)],[378]) ).

tff(534,plain,
    ( ( op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)) )
  <=> ( op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(535,plain,
    op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
    inference(and_elim,[status(thm)],[286]) ).

tff(536,plain,
    op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
    inference(modus_ponens,[status(thm)],[535,534]) ).

tff(537,plain,
    op1(e13,op1(e12,e13)) = op1(op1(e13,e12),e13),
    inference(symmetry,[status(thm)],[536]) ).

tff(538,plain,
    e11 = op1(e12,e13),
    inference(transitivity,[status(thm)],[272,425]) ).

tff(539,plain,
    op1(e13,e11) = op1(e13,op1(e12,e13)),
    inference(monotonicity,[status(thm)],[538]) ).

tff(540,plain,
    op1(e13,e11) = op1(e11,e13),
    inference(transitivity,[status(thm)],[539,537,533]) ).

tff(541,plain,
    h2(op1(e13,e11)) = h2(op1(e11,e13)),
    inference(monotonicity,[status(thm)],[540]) ).

tff(542,plain,
    h2(op1(e13,e11)) = op2(h2(e13),h2(e11)),
    inference(transitivity,[status(thm)],[541,532,510,58,179,529,528,525,522,520,516]) ).

tff(543,plain,
    ( ( h4(e10) = op2(op2(e23,op2(e23,e23)),e23) )
  <=> ( h4(e10) = op2(op2(e23,op2(e23,e23)),e23) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(544,plain,
    ( ( h4(e12) = e23 )
    & ( h4(e10) = op2(op2(e23,op2(e23,e23)),e23) ) ),
    inference(and_elim,[status(thm)],[474]) ).

tff(545,plain,
    h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
    inference(and_elim,[status(thm)],[544]) ).

tff(546,plain,
    h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
    inference(modus_ponens,[status(thm)],[545,543]) ).

tff(547,plain,
    op2(op2(e23,op2(e23,e23)),e23) = h4(e10),
    inference(symmetry,[status(thm)],[546]) ).

tff(548,plain,
    op2(e23,op2(e23,e23)) = op2(e21,e21),
    inference(transitivity,[status(thm)],[471,467,221,225,229]) ).

tff(549,plain,
    op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e21,e21),e23),
    inference(monotonicity,[status(thm)],[548]) ).

tff(550,plain,
    op2(op2(e21,e21),e23) = op2(op2(e23,op2(e23,e23)),e23),
    inference(symmetry,[status(thm)],[549]) ).

tff(551,plain,
    h2(e10) = h4(e10),
    inference(transitivity,[status(thm)],[243,238,207,203,183,260,257,253,550,547]) ).

tff(552,plain,
    op2(e23,op2(e23,e23)) = h4(e11),
    inference(symmetry,[status(thm)],[476]) ).

tff(553,plain,
    op2(e20,e23) = op2(op2(e23,e23),e23),
    inference(symmetry,[status(thm)],[467]) ).

tff(554,plain,
    h2(e13) = h4(e11),
    inference(transitivity,[status(thm)],[4,230,226,222,553,470,552]) ).

tff(555,plain,
    op2(h2(e13),h2(e10)) = op2(h4(e11),h4(e10)),
    inference(monotonicity,[status(thm)],[554,551]) ).

tff(556,plain,
    op2(h4(e11),h4(e10)) = op2(h2(e13),h2(e10)),
    inference(symmetry,[status(thm)],[555]) ).

tff(557,plain,
    h4(e10) = e20,
    inference(transitivity,[status(thm)],[546,549,251,248,108,107]) ).

tff(558,plain,
    h4(e11) = op2(e21,e21),
    inference(transitivity,[status(thm)],[476,471,467,221,225,229]) ).

tff(559,plain,
    op2(h4(e11),h4(e10)) = op2(op2(e21,e21),e20),
    inference(monotonicity,[status(thm)],[558,557]) ).

tff(560,plain,
    op2(op2(e21,e21),e20) = op2(h4(e11),h4(e10)),
    inference(symmetry,[status(thm)],[559]) ).

tff(561,plain,
    ( ( op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)) )
  <=> ( op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(562,plain,
    op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
    inference(and_elim,[status(thm)],[190]) ).

tff(563,plain,
    op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
    inference(modus_ponens,[status(thm)],[562,561]) ).

tff(564,plain,
    op2(e21,op2(e21,e20)) = op2(op2(e21,e21),e20),
    inference(symmetry,[status(thm)],[563]) ).

tff(565,plain,
    op2(e20,op2(e22,e23)) = op2(e20,e21),
    inference(monotonicity,[status(thm)],[228]) ).

tff(566,plain,
    ( ( op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)) )
  <=> ( op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(567,plain,
    op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
    inference(and_elim,[status(thm)],[199]) ).

tff(568,plain,
    op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
    inference(modus_ponens,[status(thm)],[567,566]) ).

tff(569,plain,
    op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23),
    inference(monotonicity,[status(thm)],[206]) ).

tff(570,plain,
    op2(e21,op2(e23,e23)) = op2(op2(e21,e23),e23),
    inference(symmetry,[status(thm)],[528]) ).

tff(571,plain,
    op2(e21,e20) = op2(e20,e21),
    inference(transitivity,[status(thm)],[524,570,569,568,565]) ).

tff(572,plain,
    op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)),
    inference(monotonicity,[status(thm)],[571]) ).

tff(573,plain,
    op2(e21,op2(e20,e21)) = op2(e21,op2(e21,e20)),
    inference(symmetry,[status(thm)],[572]) ).

tff(574,plain,
    ( ( op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)) )
  <=> ( op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(575,plain,
    op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
    inference(and_elim,[status(thm)],[193]) ).

tff(576,plain,
    op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
    inference(modus_ponens,[status(thm)],[575,574]) ).

tff(577,plain,
    op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21),
    inference(monotonicity,[status(thm)],[571]) ).

tff(578,plain,
    op2(op2(e20,e21),e21) = op2(op2(e21,e20),e21),
    inference(symmetry,[status(thm)],[577]) ).

tff(579,plain,
    ( ( op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)) )
  <=> ( op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(580,plain,
    ( ( 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,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,e22),e20) = op2(e20,op2(e22,e20)) ) ),
    inference(and_elim,[status(thm)],[201]) ).

tff(581,plain,
    ( ( 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,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)) ) ),
    inference(and_elim,[status(thm)],[580]) ).

tff(582,plain,
    ( ( 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,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)) ) ),
    inference(and_elim,[status(thm)],[581]) ).

tff(583,plain,
    ( ( 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,e21),e20) = op2(e20,op2(e21,e20)) )
    & ( op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)) ) ),
    inference(and_elim,[status(thm)],[582]) ).

tff(584,plain,
    op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
    inference(and_elim,[status(thm)],[583]) ).

tff(585,plain,
    op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
    inference(modus_ponens,[status(thm)],[584,579]) ).

tff(586,plain,
    op2(e20,op2(e21,e21)) = op2(op2(e20,e21),e21),
    inference(symmetry,[status(thm)],[585]) ).

tff(587,plain,
    op2(e20,op2(e21,e21)) = op2(e20,op2(e20,e23)),
    inference(monotonicity,[status(thm)],[231]) ).

tff(588,plain,
    op2(e20,op2(e20,e23)) = op2(e20,op2(e21,e21)),
    inference(symmetry,[status(thm)],[587]) ).

tff(589,plain,
    ( ( op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)) )
  <=> ( op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(590,plain,
    ( ( 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,e21),e20) = op2(e20,op2(e21,e20)) ) ),
    inference(and_elim,[status(thm)],[583]) ).

tff(591,plain,
    ( ( 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)) ) ),
    inference(and_elim,[status(thm)],[590]) ).

tff(592,plain,
    op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
    inference(and_elim,[status(thm)],[591]) ).

tff(593,plain,
    op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
    inference(modus_ponens,[status(thm)],[592,589]) ).

tff(594,plain,
    op2(e20,e20) = e20,
    inference(transitivity,[status(thm)],[260,257,253,251,248,108,107]) ).

tff(595,plain,
    op2(op2(e20,e20),e23) = op2(e20,e23),
    inference(monotonicity,[status(thm)],[594]) ).

tff(596,plain,
    op2(e20,e23) = op2(op2(e20,e20),e23),
    inference(symmetry,[status(thm)],[595]) ).

tff(597,plain,
    h2(op1(e11,e11)) = h2(e13),
    inference(monotonicity,[status(thm)],[490]) ).

tff(598,plain,
    op1(op1(e13,e13),e13) = op1(e10,e13),
    inference(monotonicity,[status(thm)],[451]) ).

tff(599,plain,
    ( ( op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) )
  <=> ( op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(600,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    inference(and_elim,[status(thm)],[282]) ).

tff(601,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    inference(modus_ponens,[status(thm)],[600,599]) ).

tff(602,plain,
    op1(e13,op1(e13,e13)) = op1(op1(e13,e13),e13),
    inference(symmetry,[status(thm)],[601]) ).

tff(603,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(symmetry,[status(thm)],[450]) ).

tff(604,plain,
    op1(e11,e12) = op1(op1(e13,e12),e12),
    inference(symmetry,[status(thm)],[445]) ).

tff(605,plain,
    e10 = op1(e13,e13),
    inference(transitivity,[status(thm)],[268,274,604,448,603]) ).

tff(606,plain,
    op1(e13,e10) = op1(e13,op1(e13,e13)),
    inference(monotonicity,[status(thm)],[605]) ).

tff(607,plain,
    op1(e13,e10) = op1(e11,e11),
    inference(transitivity,[status(thm)],[606,602,598,419,423,428]) ).

tff(608,plain,
    h2(op1(e13,e10)) = h2(op1(e11,e11)),
    inference(monotonicity,[status(thm)],[607]) ).

tff(609,plain,
    h2(op1(e13,e10)) = op2(h2(e13),h2(e10)),
    inference(transitivity,[status(thm)],[608,597,4,230,226,222,596,593,588,586,578,576,573,564,560,556]) ).

tff(610,plain,
    op2(h2(e12),h2(e13)) = op2(e21,op2(e21,e21)),
    inference(monotonicity,[status(thm)],[510,4]) ).

tff(611,plain,
    op2(e21,op2(e21,e21)) = op2(h2(e12),h2(e13)),
    inference(symmetry,[status(thm)],[610]) ).

tff(612,plain,
    h2(op1(e12,e13)) = h2(e11),
    inference(monotonicity,[status(thm)],[427]) ).

tff(613,plain,
    h2(op1(e12,e13)) = op2(h2(e12),h2(e13)),
    inference(transitivity,[status(thm)],[612,459,611]) ).

tff(614,plain,
    op2(h2(e12),h2(e12)) = op2(e21,e21),
    inference(monotonicity,[status(thm)],[510,510]) ).

tff(615,plain,
    op2(e21,e21) = op2(h2(e12),h2(e12)),
    inference(symmetry,[status(thm)],[614]) ).

tff(616,plain,
    h2(op1(e12,e12)) = h2(e13),
    inference(monotonicity,[status(thm)],[325]) ).

tff(617,plain,
    h2(op1(e12,e12)) = op2(h2(e12),h2(e12)),
    inference(transitivity,[status(thm)],[616,4,615]) ).

tff(618,plain,
    h2(e11) = op2(e21,e23),
    inference(transitivity,[status(thm)],[459,236,232,220,217,209,65,54,13]) ).

tff(619,plain,
    op2(h2(e12),h2(e11)) = op2(e21,op2(e21,e23)),
    inference(monotonicity,[status(thm)],[510,618]) ).

tff(620,plain,
    op2(e21,op2(e21,e23)) = op2(h2(e12),h2(e11)),
    inference(symmetry,[status(thm)],[619]) ).

tff(621,plain,
    op1(op1(e12,e12),e13) = op1(e13,e13),
    inference(monotonicity,[status(thm)],[325]) ).

tff(622,plain,
    ( ( op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)) )
  <=> ( op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(623,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    inference(and_elim,[status(thm)],[302]) ).

tff(624,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    inference(modus_ponens,[status(thm)],[623,622]) ).

tff(625,plain,
    op1(e12,op1(e12,e13)) = op1(op1(e12,e12),e13),
    inference(symmetry,[status(thm)],[624]) ).

tff(626,plain,
    op1(e12,e11) = op1(e12,op1(e12,e13)),
    inference(monotonicity,[status(thm)],[538]) ).

tff(627,plain,
    op1(e12,e11) = e10,
    inference(transitivity,[status(thm)],[626,625,621,450,449,445,275,269]) ).

tff(628,plain,
    h2(op1(e12,e11)) = h2(e10),
    inference(monotonicity,[status(thm)],[627]) ).

tff(629,plain,
    h2(op1(e12,e11)) = op2(h2(e12),h2(e11)),
    inference(transitivity,[status(thm)],[628,243,238,207,203,183,260,257,253,251,620]) ).

tff(630,plain,
    h2(e12) = op2(e20,e21),
    inference(transitivity,[status(thm)],[510,58,179,529,569,568,565]) ).

tff(631,plain,
    op2(h2(e12),h2(e10)) = op2(op2(e20,e21),e20),
    inference(monotonicity,[status(thm)],[630,463]) ).

tff(632,plain,
    op2(op2(e20,e21),e20) = op2(h2(e12),h2(e10)),
    inference(symmetry,[status(thm)],[631]) ).

tff(633,plain,
    ( ( op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)) )
  <=> ( op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(634,plain,
    op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)),
    inference(and_elim,[status(thm)],[590]) ).

tff(635,plain,
    op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)),
    inference(modus_ponens,[status(thm)],[634,633]) ).

tff(636,plain,
    op2(e20,op2(e21,e20)) = op2(op2(e20,e21),e20),
    inference(symmetry,[status(thm)],[635]) ).

tff(637,plain,
    op2(e20,op2(e21,e20)) = op2(e20,op2(e20,e21)),
    inference(monotonicity,[status(thm)],[571]) ).

tff(638,plain,
    op2(e20,op2(e20,e21)) = op2(e20,op2(e21,e20)),
    inference(symmetry,[status(thm)],[637]) ).

tff(639,plain,
    ( ( op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)) )
  <=> ( op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(640,plain,
    ( ( 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)) ) ),
    inference(and_elim,[status(thm)],[591]) ).

tff(641,plain,
    ( ( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)) )
    & ( op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)) ) ),
    inference(and_elim,[status(thm)],[640]) ).

tff(642,plain,
    op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)),
    inference(and_elim,[status(thm)],[641]) ).

tff(643,plain,
    op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)),
    inference(modus_ponens,[status(thm)],[642,639]) ).

tff(644,plain,
    op2(op2(e20,e20),e21) = op2(e20,e21),
    inference(monotonicity,[status(thm)],[594]) ).

tff(645,plain,
    op2(e20,e21) = op2(op2(e20,e20),e21),
    inference(symmetry,[status(thm)],[644]) ).

tff(646,plain,
    op1(op1(e12,e13),e13) = op1(e11,e13),
    inference(monotonicity,[status(thm)],[427]) ).

tff(647,plain,
    ( ( op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)) )
  <=> ( op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(648,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    inference(and_elim,[status(thm)],[298]) ).

tff(649,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    inference(modus_ponens,[status(thm)],[648,647]) ).

tff(650,plain,
    op1(e12,op1(e13,e13)) = op1(op1(e12,e13),e13),
    inference(symmetry,[status(thm)],[649]) ).

tff(651,plain,
    op1(e12,e10) = op1(e12,op1(e13,e13)),
    inference(monotonicity,[status(thm)],[605]) ).

tff(652,plain,
    op1(e12,e10) = op1(e11,e13),
    inference(transitivity,[status(thm)],[651,650,646]) ).

tff(653,plain,
    h2(op1(e12,e10)) = h2(op1(e11,e13)),
    inference(monotonicity,[status(thm)],[652]) ).

tff(654,plain,
    h2(op1(e12,e10)) = op2(h2(e12),h2(e10)),
    inference(transitivity,[status(thm)],[653,532,510,58,179,529,569,568,565,645,643,638,636,632]) ).

tff(655,plain,
    op2(h2(e11),h2(e13)) = op2(e22,op2(e21,e21)),
    inference(monotonicity,[status(thm)],[460,4]) ).

tff(656,plain,
    op2(e22,op2(e21,e21)) = op2(h2(e11),h2(e13)),
    inference(symmetry,[status(thm)],[655]) ).

tff(657,plain,
    ( ( op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)) )
  <=> ( op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(658,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    inference(and_elim,[status(thm)],[41]) ).

tff(659,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    inference(modus_ponens,[status(thm)],[658,657]) ).

tff(660,plain,
    op2(op2(e22,e21),e21) = op2(e20,e21),
    inference(monotonicity,[status(thm)],[182]) ).

tff(661,plain,
    op2(e20,e21) = op2(op2(e22,e21),e21),
    inference(symmetry,[status(thm)],[660]) ).

tff(662,plain,
    h2(op1(e11,e13)) = op2(h2(e11),h2(e13)),
    inference(transitivity,[status(thm)],[532,510,58,179,529,569,568,565,661,659,656]) ).

tff(663,plain,
    op2(h2(e11),h2(e12)) = op2(op2(e21,op2(e21,e21)),e21),
    inference(monotonicity,[status(thm)],[459,510]) ).

tff(664,plain,
    op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e11),h2(e12)),
    inference(symmetry,[status(thm)],[663]) ).

tff(665,plain,
    h2(op1(e11,e12)) = h2(e10),
    inference(monotonicity,[status(thm)],[322]) ).

tff(666,plain,
    h2(op1(e11,e12)) = op2(h2(e11),h2(e12)),
    inference(transitivity,[status(thm)],[665,243,664]) ).

tff(667,plain,
    op2(h2(e11),h2(e11)) = op2(e22,e22),
    inference(monotonicity,[status(thm)],[460,460]) ).

tff(668,plain,
    op2(e22,e22) = op2(h2(e11),h2(e11)),
    inference(symmetry,[status(thm)],[667]) ).

tff(669,plain,
    h2(op1(e11,e11)) = op2(h2(e11),h2(e11)),
    inference(transitivity,[status(thm)],[597,4,160,158,154,668]) ).

tff(670,plain,
    h2(e10) = op2(e20,e20),
    inference(transitivity,[status(thm)],[243,238,207,203,183]) ).

tff(671,plain,
    op2(h2(e11),h2(e10)) = op2(e22,op2(e20,e20)),
    inference(monotonicity,[status(thm)],[460,670]) ).

tff(672,plain,
    op2(e22,op2(e20,e20)) = op2(h2(e11),h2(e10)),
    inference(symmetry,[status(thm)],[671]) ).

tff(673,plain,
    ( ( op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)) )
  <=> ( op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(674,plain,
    op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
    inference(and_elim,[status(thm)],[46]) ).

tff(675,plain,
    op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
    inference(modus_ponens,[status(thm)],[674,673]) ).

tff(676,plain,
    op2(op2(e22,e23),e23) = op2(e21,e23),
    inference(monotonicity,[status(thm)],[228]) ).

tff(677,plain,
    ( ( op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)) )
  <=> ( op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(678,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    inference(and_elim,[status(thm)],[31]) ).

tff(679,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    inference(modus_ponens,[status(thm)],[678,677]) ).

tff(680,plain,
    op2(e22,op2(e23,e23)) = op2(op2(e22,e23),e23),
    inference(symmetry,[status(thm)],[679]) ).

tff(681,plain,
    op2(e22,e20) = op2(e22,op2(e23,e23)),
    inference(monotonicity,[status(thm)],[523]) ).

tff(682,plain,
    op2(e22,e20) = op2(e21,e23),
    inference(transitivity,[status(thm)],[681,680,676]) ).

tff(683,plain,
    op2(op2(e22,e20),e20) = op2(op2(e21,e23),e20),
    inference(monotonicity,[status(thm)],[682]) ).

tff(684,plain,
    op2(op2(e21,e23),e20) = op2(op2(e22,e20),e20),
    inference(symmetry,[status(thm)],[683]) ).

tff(685,plain,
    op2(op2(e21,e23),e20) = op2(op2(e20,e22),e20),
    inference(monotonicity,[status(thm)],[206]) ).

tff(686,plain,
    op2(op2(e20,e22),e20) = op2(op2(e21,e23),e20),
    inference(symmetry,[status(thm)],[685]) ).

tff(687,plain,
    ( ( op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)) )
  <=> ( op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(688,plain,
    op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
    inference(and_elim,[status(thm)],[580]) ).

tff(689,plain,
    op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
    inference(modus_ponens,[status(thm)],[688,687]) ).

tff(690,plain,
    op2(e20,op2(e22,e20)) = op2(op2(e20,e22),e20),
    inference(symmetry,[status(thm)],[689]) ).

tff(691,plain,
    op2(e20,op2(e22,e20)) = op2(e20,op2(e21,e23)),
    inference(monotonicity,[status(thm)],[682]) ).

tff(692,plain,
    op2(e20,op2(e21,e23)) = op2(e20,op2(e22,e20)),
    inference(symmetry,[status(thm)],[691]) ).

tff(693,plain,
    op1(e12,e13) = op1(op1(e11,e13),e13),
    inference(monotonicity,[status(thm)],[409]) ).

tff(694,plain,
    op1(op1(e11,e13),e13) = op1(e12,e13),
    inference(symmetry,[status(thm)],[693]) ).

tff(695,plain,
    op1(e11,e13) = op1(e10,e12),
    inference(transitivity,[status(thm)],[279,530,323]) ).

tff(696,plain,
    op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13),
    inference(monotonicity,[status(thm)],[695]) ).

tff(697,plain,
    op1(op1(e10,e12),e13) = op1(op1(e11,e13),e13),
    inference(symmetry,[status(thm)],[696]) ).

tff(698,plain,
    ( ( op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)) )
  <=> ( op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(699,plain,
    ( ( 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,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,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,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)) ) ),
    inference(and_elim,[status(thm)],[441]) ).

tff(700,plain,
    ( ( 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,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,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,e13),e10) = op1(e10,op1(e13,e10)) )
    & ( op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)) ) ),
    inference(and_elim,[status(thm)],[699]) ).

tff(701,plain,
    ( ( 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,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,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,e13),e10) = op1(e10,op1(e13,e10)) ) ),
    inference(and_elim,[status(thm)],[700]) ).

tff(702,plain,
    ( ( 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,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,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)) ) ),
    inference(and_elim,[status(thm)],[701]) ).

tff(703,plain,
    op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
    inference(and_elim,[status(thm)],[702]) ).

tff(704,plain,
    op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
    inference(modus_ponens,[status(thm)],[703,698]) ).

tff(705,plain,
    op1(e10,op1(e12,e13)) = op1(op1(e10,e12),e13),
    inference(symmetry,[status(thm)],[704]) ).

tff(706,plain,
    op1(e10,op1(e12,e13)) = op1(e10,e11),
    inference(monotonicity,[status(thm)],[427]) ).

tff(707,plain,
    op1(e10,e11) = op1(e10,op1(e12,e13)),
    inference(symmetry,[status(thm)],[706]) ).

tff(708,plain,
    op1(e10,e11) = e11,
    inference(transitivity,[status(thm)],[707,705,697,694,426,273]) ).

tff(709,plain,
    h2(op1(e10,e11)) = h2(e11),
    inference(monotonicity,[status(thm)],[708]) ).

tff(710,plain,
    ( ( op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)) )
  <=> ( op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(711,plain,
    op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
    inference(and_elim,[status(thm)],[314]) ).

tff(712,plain,
    op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
    inference(modus_ponens,[status(thm)],[711,710]) ).

tff(713,plain,
    op1(e11,op1(e13,e13)) = op1(op1(e11,e13),e13),
    inference(symmetry,[status(thm)],[712]) ).

tff(714,plain,
    op1(e11,e10) = op1(e11,op1(e13,e13)),
    inference(monotonicity,[status(thm)],[605]) ).

tff(715,plain,
    op1(e11,e10) = op1(e10,e11),
    inference(transitivity,[status(thm)],[714,713,696,704,706]) ).

tff(716,plain,
    h2(op1(e11,e10)) = h2(op1(e10,e11)),
    inference(monotonicity,[status(thm)],[715]) ).

tff(717,plain,
    h2(op1(e11,e10)) = op2(h2(e11),h2(e10)),
    inference(transitivity,[status(thm)],[716,709,459,236,232,220,217,692,690,686,684,675,672]) ).

tff(718,plain,
    op2(h2(e10),h2(e13)) = op2(h4(e10),h4(e11)),
    inference(monotonicity,[status(thm)],[551,554]) ).

tff(719,plain,
    op2(h4(e10),h4(e11)) = op2(h2(e10),h2(e13)),
    inference(symmetry,[status(thm)],[718]) ).

tff(720,plain,
    op2(h4(e10),h4(e11)) = op2(e20,op2(e21,e21)),
    inference(monotonicity,[status(thm)],[557,558]) ).

tff(721,plain,
    op2(e20,op2(e21,e21)) = op2(h4(e10),h4(e11)),
    inference(symmetry,[status(thm)],[720]) ).

tff(722,plain,
    op1(e10,e13) = op1(e11,e11),
    inference(transitivity,[status(thm)],[419,423,428]) ).

tff(723,plain,
    h2(op1(e10,e13)) = h2(op1(e11,e11)),
    inference(monotonicity,[status(thm)],[722]) ).

tff(724,plain,
    h2(op1(e10,e13)) = op2(h2(e10),h2(e13)),
    inference(transitivity,[status(thm)],[723,597,4,230,226,222,596,593,588,721,719]) ).

tff(725,plain,
    op2(h2(e10),h2(e12)) = op2(e20,op2(e20,e21)),
    inference(monotonicity,[status(thm)],[463,630]) ).

tff(726,plain,
    op2(e20,op2(e20,e21)) = op2(h2(e10),h2(e12)),
    inference(symmetry,[status(thm)],[725]) ).

tff(727,plain,
    op1(e10,e12) = op1(e11,e13),
    inference(transitivity,[status(thm)],[324,321,280]) ).

tff(728,plain,
    h2(op1(e10,e12)) = h2(op1(e11,e13)),
    inference(monotonicity,[status(thm)],[727]) ).

tff(729,plain,
    h2(op1(e10,e12)) = op2(h2(e10),h2(e12)),
    inference(transitivity,[status(thm)],[728,532,510,58,179,529,569,568,565,645,643,726]) ).

tff(730,plain,
    op2(h2(e10),h2(e11)) = op2(op2(e20,e20),e22),
    inference(monotonicity,[status(thm)],[670,460]) ).

tff(731,plain,
    op2(op2(e20,e20),e22) = op2(h2(e10),h2(e11)),
    inference(symmetry,[status(thm)],[730]) ).

tff(732,plain,
    ( ( op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)) )
  <=> ( op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(733,plain,
    op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
    inference(and_elim,[status(thm)],[640]) ).

tff(734,plain,
    op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
    inference(modus_ponens,[status(thm)],[733,732]) ).

tff(735,plain,
    op2(e20,op2(e20,e22)) = op2(op2(e20,e20),e22),
    inference(symmetry,[status(thm)],[734]) ).

tff(736,plain,
    op2(e20,e22) = op2(e21,e23),
    inference(transitivity,[status(thm)],[65,54,13]) ).

tff(737,plain,
    op2(e20,op2(e20,e22)) = op2(e20,op2(e21,e23)),
    inference(monotonicity,[status(thm)],[736]) ).

tff(738,plain,
    op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)),
    inference(symmetry,[status(thm)],[737]) ).

tff(739,plain,
    h2(op1(e10,e11)) = op2(h2(e10),h2(e11)),
    inference(transitivity,[status(thm)],[709,459,236,232,220,217,738,735,731]) ).

tff(740,plain,
    ( ( h2(e12) = e21 )
    | ( h2(e10) = e21 )
    | ( h2(e11) = e21 )
    | ( h2(e13) = e21 )
    | ( h2(e12) != e21 ) ),
    inference(tautology,[status(thm)],[]) ).

tff(741,plain,
    ( ( h2(e12) = e21 )
    | ( h2(e10) = e21 )
    | ( h2(e11) = e21 )
    | ( h2(e13) = e21 ) ),
    inference(unit_resolution,[status(thm)],[740,510]) ).

tff(742,plain,
    ( ~ ~ ( ( 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(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(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(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(e10) = e20 )
              | ( h2(e11) = e20 )
              | ( h2(e12) = e20 )
              | ( h2(e13) = e20 ) )
          | ~ ( ( h2(e12) = e21 )
              | ( h2(e10) = e21 )
              | ( h2(e11) = e21 )
              | ( h2(e13) = e21 ) )
          | ~ ( ( h2(e10) = e22 )
              | ( h2(e11) = e22 )
              | ( h2(e12) = e22 )
              | ( h2(e13) = e22 ) )
          | ~ ( ( h2(e10) = e23 )
              | ( h2(e11) = e23 )
              | ( h2(e12) = e23 )
              | ( h2(e13) = e23 ) ) )
  <=> ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
      | ~ ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
      | ~ ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
      | ~ ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(743,plain,
    ( ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) )
  <=> ~ ( ( 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(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(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(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(e10) = e20 )
            | ( h2(e11) = e20 )
            | ( h2(e12) = e20 )
            | ( h2(e13) = e20 ) )
        | ~ ( ( h2(e12) = e21 )
            | ( h2(e10) = e21 )
            | ( h2(e11) = e21 )
            | ( h2(e13) = e21 ) )
        | ~ ( ( h2(e10) = e22 )
            | ( h2(e11) = e22 )
            | ( h2(e12) = e22 )
            | ( h2(e13) = e22 ) )
        | ~ ( ( h2(e10) = e23 )
            | ( h2(e11) = e23 )
            | ( h2(e12) = e23 )
            | ( h2(e13) = e23 ) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(744,plain,
    ( ( ( h2(e12) = e21 )
      | ( h2(e10) = e21 )
      | ( h2(e11) = e21 )
      | ( h2(e13) = e21 ) )
  <=> ( ( h2(e12) = e21 )
      | ( h2(e10) = e21 )
      | ( h2(e11) = e21 )
      | ( h2(e13) = e21 ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(745,plain,
    ( ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) )
  <=> ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ) ),
    inference(monotonicity,[status(thm)],[744]) ).

tff(746,plain,
    ( ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) )
  <=> ~ ( ( 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(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(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(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(e10) = e20 )
            | ( h2(e11) = e20 )
            | ( h2(e12) = e20 )
            | ( h2(e13) = e20 ) )
        | ~ ( ( h2(e12) = e21 )
            | ( h2(e10) = e21 )
            | ( h2(e11) = e21 )
            | ( h2(e13) = e21 ) )
        | ~ ( ( h2(e10) = e22 )
            | ( h2(e11) = e22 )
            | ( h2(e12) = e22 )
            | ( h2(e13) = e22 ) )
        | ~ ( ( h2(e10) = e23 )
            | ( h2(e11) = e23 )
            | ( h2(e12) = e23 )
            | ( h2(e13) = e23 ) ) ) ),
    inference(transitivity,[status(thm)],[745,743]) ).

tff(747,plain,
    ( ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
  <=> ~ ~ ( ( 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(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(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(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(e10) = e20 )
              | ( h2(e11) = e20 )
              | ( h2(e12) = e20 )
              | ( h2(e13) = e20 ) )
          | ~ ( ( h2(e12) = e21 )
              | ( h2(e10) = e21 )
              | ( h2(e11) = e21 )
              | ( h2(e13) = e21 ) )
          | ~ ( ( h2(e10) = e22 )
              | ( h2(e11) = e22 )
              | ( h2(e12) = e22 )
              | ( h2(e13) = e22 ) )
          | ~ ( ( h2(e10) = e23 )
              | ( h2(e11) = e23 )
              | ( h2(e12) = e23 )
              | ( h2(e13) = e23 ) ) ) ),
    inference(monotonicity,[status(thm)],[746]) ).

tff(748,plain,
    ( ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
  <=> ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
      | ~ ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
      | ~ ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
      | ~ ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(transitivity,[status(thm)],[747,742]) ).

tff(749,plain,
    ( ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) )
  <=> ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(750,plain,
    ( ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
  <=> ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(monotonicity,[status(thm)],[749]) ).

tff(751,plain,
    ( ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
  <=> ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(752,plain,
    ( ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e12) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
  <=> ~ ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e12) = e21 )
          | ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(753,axiom,
    ~ ( ( ( 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(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(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(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(e10) = e20 )
          | ( h1(e11) = e20 )
          | ( h1(e12) = e20 )
          | ( h1(e13) = e20 ) )
        & ( ( h1(e10) = e21 )
          | ( h1(e11) = e21 )
          | ( h1(e12) = e21 )
          | ( h1(e13) = e21 ) )
        & ( ( h1(e10) = e22 )
          | ( h1(e11) = e22 )
          | ( h1(e12) = e22 )
          | ( h1(e13) = e22 ) )
        & ( ( h1(e10) = e23 )
          | ( h1(e11) = e23 )
          | ( h1(e12) = e23 )
          | ( h1(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e12) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h3(e11) = e20 )
          | ( h3(e12) = e20 )
          | ( h3(e13) = e20 ) )
        & ( ( h3(e10) = e21 )
          | ( h3(e11) = e21 )
          | ( h3(e12) = e21 )
          | ( h3(e13) = e21 ) )
        & ( ( h3(e10) = e22 )
          | ( h3(e11) = e22 )
          | ( h3(e12) = e22 )
          | ( h3(e13) = e22 ) )
        & ( ( h3(e10) = e23 )
          | ( h3(e11) = e23 )
          | ( h3(e12) = e23 )
          | ( h3(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h4(e11) = e20 )
          | ( h4(e12) = e20 )
          | ( h4(e13) = e20 ) )
        & ( ( h4(e10) = e21 )
          | ( h4(e11) = e21 )
          | ( h4(e12) = e21 )
          | ( h4(e13) = e21 ) )
        & ( ( h4(e10) = e22 )
          | ( h4(e11) = e22 )
          | ( h4(e12) = e22 )
          | ( h4(e13) = e22 ) )
        & ( ( h4(e10) = e23 )
          | ( h4(e11) = e23 )
          | ( h4(e12) = e23 )
          | ( h4(e13) = e23 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(754,plain,
    ~ ( ( ( 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(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(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(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(e10) = e20 )
          | ( h1(e11) = e20 )
          | ( h1(e12) = e20 )
          | ( h1(e13) = e20 ) )
        & ( ( h1(e10) = e21 )
          | ( h1(e11) = e21 )
          | ( h1(e12) = e21 )
          | ( h1(e13) = e21 ) )
        & ( ( h1(e10) = e22 )
          | ( h1(e11) = e22 )
          | ( h1(e12) = e22 )
          | ( h1(e13) = e22 ) )
        & ( ( h1(e10) = e23 )
          | ( h1(e11) = e23 )
          | ( h1(e12) = e23 )
          | ( h1(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e12) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h3(e11) = e20 )
          | ( h3(e12) = e20 )
          | ( h3(e13) = e20 ) )
        & ( ( h3(e10) = e21 )
          | ( h3(e11) = e21 )
          | ( h3(e12) = e21 )
          | ( h3(e13) = e21 ) )
        & ( ( h3(e10) = e22 )
          | ( h3(e11) = e22 )
          | ( h3(e12) = e22 )
          | ( h3(e13) = e22 ) )
        & ( ( h3(e10) = e23 )
          | ( h3(e11) = e23 )
          | ( h3(e12) = e23 )
          | ( h3(e13) = e23 ) ) ) ),
    inference(or_elim,[status(thm)],[753]) ).

tff(755,plain,
    ~ ( ( ( 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(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(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(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(e10) = e20 )
          | ( h1(e11) = e20 )
          | ( h1(e12) = e20 )
          | ( h1(e13) = e20 ) )
        & ( ( h1(e10) = e21 )
          | ( h1(e11) = e21 )
          | ( h1(e12) = e21 )
          | ( h1(e13) = e21 ) )
        & ( ( h1(e10) = e22 )
          | ( h1(e11) = e22 )
          | ( h1(e12) = e22 )
          | ( h1(e13) = e22 ) )
        & ( ( h1(e10) = e23 )
          | ( h1(e11) = e23 )
          | ( h1(e12) = e23 )
          | ( h1(e13) = e23 ) ) )
      | ( ( 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(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(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(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(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e12) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) ) ),
    inference(or_elim,[status(thm)],[754]) ).

tff(756,plain,
    ~ ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e12) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(or_elim,[status(thm)],[755]) ).

tff(757,plain,
    ~ ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(modus_ponens,[status(thm)],[756,752]) ).

tff(758,plain,
    ~ ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(modus_ponens,[status(thm)],[757,750]) ).

tff(759,plain,
    ~ ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(modus_ponens,[status(thm)],[758,751]) ).

tff(760,plain,
    ~ ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
      & ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
      & ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
      & ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(modus_ponens,[status(thm)],[759,750]) ).

tff(761,plain,
    ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
    | ~ ( ( h2(e12) = e21 )
        | ( h2(e10) = e21 )
        | ( h2(e11) = e21 )
        | ( h2(e13) = e21 ) )
    | ~ ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
    | ~ ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(modus_ponens,[status(thm)],[760,748]) ).

tff(762,plain,
    ( ( 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(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(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(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(e10) = e20 )
        | ( h2(e11) = e20 )
        | ( h2(e12) = e20 )
        | ( h2(e13) = e20 ) )
    | ~ ( ( h2(e10) = e22 )
        | ( h2(e11) = e22 )
        | ( h2(e12) = e22 )
        | ( h2(e13) = e22 ) )
    | ~ ( ( h2(e10) = e23 )
        | ( h2(e11) = e23 )
        | ( h2(e12) = e23 )
        | ( h2(e13) = e23 ) ) ),
    inference(unit_resolution,[status(thm)],[761,741]) ).

tff(763,plain,
    ~ ( ( h2(e10) = e23 )
      | ( h2(e11) = e23 )
      | ( h2(e12) = e23 )
      | ( h2(e13) = e23 ) ),
    inference(unit_resolution,[status(thm)],[762,739,729,724,717,669,666,662,654,629,617,613,609,542,514,507,465,462,456]) ).

tff(764,plain,
    ( ( h2(e10) = e23 )
    | ( h2(e11) = e23 )
    | ( h2(e12) = e23 )
    | ( h2(e13) = e23 )
    | ( h2(e13) != e23 ) ),
    inference(tautology,[status(thm)],[]) ).

tff(765,plain,
    h2(e13) != e23,
    inference(unit_resolution,[status(thm)],[764,763]) ).

tff(766,plain,
    $false,
    inference(unit_resolution,[status(thm)],[765,162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG016+1 : TPTP v9.0.0. Released v2.7.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Jun 19 10:42:02 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  % SZS output start Proof
% See solution above
% 0.72/0.89  % E exiting
%------------------------------------------------------------------------------