TSTP Solution File: ALG169+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ALG169+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 : Tue Sep 6 16:08:50 EDT 2022
% Result : Theorem 0.53s 0.67s
% Output : Proof 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 179
% Syntax : Number of formulae : 447 ( 49 unt; 32 typ; 0 def)
% Number of atoms : 11444 (11420 equ)
% Maximal formula atoms : 1000 ( 27 avg)
% Number of connectives : 15938 (4909 ~;3040 |;7781 &)
% ( 208 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 19 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 24 ( 22 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(op2_type,type,
op2: ( $i * $i ) > $i ).
tff(h20_type,type,
h20: $i > $i ).
tff(e11_type,type,
e11: $i ).
tff(h4_type,type,
h4: $i > $i ).
tff(e13_type,type,
e13: $i ).
tff(h3_type,type,
h3: $i > $i ).
tff(h1_type,type,
h1: $i > $i ).
tff(h2_type,type,
h2: $i > $i ).
tff(h10_type,type,
h10: $i > $i ).
tff(op1_type,type,
op1: ( $i * $i ) > $i ).
tff(e23_type,type,
e23: $i ).
tff(e21_type,type,
e21: $i ).
tff(e22_type,type,
e22: $i ).
tff(e24_type,type,
e24: $i ).
tff(e20_type,type,
e20: $i ).
tff(h19_type,type,
h19: $i > $i ).
tff(h16_type,type,
h16: $i > $i ).
tff(h8_type,type,
h8: $i > $i ).
tff(h11_type,type,
h11: $i > $i ).
tff(h15_type,type,
h15: $i > $i ).
tff(h14_type,type,
h14: $i > $i ).
tff(e14_type,type,
e14: $i ).
tff(e12_type,type,
e12: $i ).
tff(e10_type,type,
e10: $i ).
tff(h18_type,type,
h18: $i > $i ).
tff(h17_type,type,
h17: $i > $i ).
tff(h13_type,type,
h13: $i > $i ).
tff(h12_type,type,
h12: $i > $i ).
tff(h9_type,type,
h9: $i > $i ).
tff(h7_type,type,
h7: $i > $i ).
tff(h6_type,type,
h6: $i > $i ).
tff(h5_type,type,
h5: $i > $i ).
tff(1,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false )
<=> ( op2(h20(e11),h20(e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( h3(e13) != op2(h1(e13),h3(e13)) )
<=> ( h3(e13) != h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( op2(h1(e13),h2(e13)) != op2(h1(e13),h3(e13)) )
<=> ( h3(e13) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( h10(op1(e13,e11)) != op2(h1(e13),h3(e13)) )
<=> ( op2(h1(e13),h2(e13)) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
( ( op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h1(e13),h3(e13)) )
<=> ( h10(op1(e13,e11)) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,plain,
( ( op2(e21,e22) != op2(e21,e23) )
<=> ( op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( ( op2(e21,e22) != op2(e21,e23) )
<=> ( op2(e21,e22) != op2(e21,e23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) )
& ( op2(e24,e21) != op2(e24,e23) )
& ( op2(e24,e21) != op2(e24,e24) )
& ( op2(e24,e22) != op2(e24,e23) )
& ( op2(e24,e22) != op2(e24,e24) )
& ( op2(e24,e23) != op2(e24,e24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
tff(9,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) )
& ( op2(e24,e21) != op2(e24,e23) )
& ( op2(e24,e21) != op2(e24,e24) )
& ( op2(e24,e22) != op2(e24,e23) )
& ( op2(e24,e22) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[8]) ).
tff(10,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) )
& ( op2(e24,e21) != op2(e24,e23) )
& ( op2(e24,e21) != op2(e24,e24) )
& ( op2(e24,e22) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[9]) ).
tff(11,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) )
& ( op2(e24,e21) != op2(e24,e23) )
& ( op2(e24,e21) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[10]) ).
tff(12,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) )
& ( op2(e24,e21) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) )
& ( op2(e24,e21) != op2(e24,e22) ) ),
inference(and_elim,[status(thm)],[12]) ).
tff(14,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) )
& ( op2(e24,e20) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[13]) ).
tff(15,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) )
& ( op2(e24,e20) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[14]) ).
tff(16,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) )
& ( op2(e24,e20) != op2(e24,e22) ) ),
inference(and_elim,[status(thm)],[15]) ).
tff(17,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) )
& ( op2(e24,e20) != op2(e24,e21) ) ),
inference(and_elim,[status(thm)],[16]) ).
tff(18,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) )
& ( op2(e23,e23) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[17]) ).
tff(19,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[18]) ).
tff(20,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) )
& ( op2(e23,e22) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[19]) ).
tff(21,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[20]) ).
tff(22,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[21]) ).
tff(23,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) )
& ( op2(e23,e21) != op2(e23,e22) ) ),
inference(and_elim,[status(thm)],[22]) ).
tff(24,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e20) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[23]) ).
tff(25,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[24]) ).
tff(26,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) ) ),
inference(and_elim,[status(thm)],[25]) ).
tff(27,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) )
& ( op2(e23,e20) != op2(e23,e21) ) ),
inference(and_elim,[status(thm)],[26]) ).
tff(28,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) )
& ( op2(e22,e23) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[27]) ).
tff(29,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[28]) ).
tff(30,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) )
& ( op2(e22,e22) != op2(e22,e23) ) ),
inference(and_elim,[status(thm)],[29]) ).
tff(31,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[30]) ).
tff(32,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) ) ),
inference(and_elim,[status(thm)],[31]) ).
tff(33,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) )
& ( op2(e22,e21) != op2(e22,e22) ) ),
inference(and_elim,[status(thm)],[32]) ).
tff(34,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e20) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[33]) ).
tff(35,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) ) ),
inference(and_elim,[status(thm)],[34]) ).
tff(36,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) ) ),
inference(and_elim,[status(thm)],[35]) ).
tff(37,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) )
& ( op2(e22,e20) != op2(e22,e21) ) ),
inference(and_elim,[status(thm)],[36]) ).
tff(38,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) )
& ( op2(e21,e23) != op2(e21,e24) ) ),
inference(and_elim,[status(thm)],[37]) ).
tff(39,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e24) ) ),
inference(and_elim,[status(thm)],[38]) ).
tff(40,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) )
& ( op2(e21,e22) != op2(e21,e23) ) ),
inference(and_elim,[status(thm)],[39]) ).
tff(41,plain,
op2(e21,e22) != op2(e21,e23),
inference(and_elim,[status(thm)],[40]) ).
tff(42,plain,
op2(e21,e22) != op2(e21,e23),
inference(modus_ponens,[status(thm)],[41,7]) ).
tff(43,plain,
op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[42,6]) ).
tff(44,plain,
h10(op1(e13,e11)) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[43,5]) ).
tff(45,plain,
op2(h1(e13),h2(e13)) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[44,4]) ).
tff(46,plain,
h3(e13) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[45,3]) ).
tff(47,plain,
h3(e13) != h4(e13),
inference(modus_ponens,[status(thm)],[46,2]) ).
tff(48,plain,
( ( h3(e13) = h4(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[47]) ).
tff(49,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false ) ),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) )
<=> ( op2(h20(e11),h20(e11)) = h4(e13) ) ),
inference(transitivity,[status(thm)],[49,1]) ).
tff(51,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ( op2(h4(e13),h1(e11)) = h4(e13) )
<=> ( h3(e13) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[52]) ).
tff(54,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[53,51]) ).
tff(55,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(56,plain,
( ( h1(e13) != op2(h1(e13),h3(e13)) )
<=> ( h1(e13) != h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ( op2(h1(e13),h1(e13)) != op2(h1(e13),h3(e13)) )
<=> ( h1(e13) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
( ( op2(e21,e21) != op2(e21,e23) )
<=> ( op2(h1(e13),h1(e13)) != op2(h1(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
( ( op2(e21,e21) != op2(e21,e23) )
<=> ( op2(e21,e21) != op2(e21,e23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e24) ) ),
inference(and_elim,[status(thm)],[40]) ).
tff(61,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) ) ),
inference(and_elim,[status(thm)],[60]) ).
tff(62,plain,
op2(e21,e21) != op2(e21,e23),
inference(and_elim,[status(thm)],[61]) ).
tff(63,plain,
op2(e21,e21) != op2(e21,e23),
inference(modus_ponens,[status(thm)],[62,59]) ).
tff(64,plain,
op2(h1(e13),h1(e13)) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[63,58]) ).
tff(65,plain,
h1(e13) != op2(h1(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[64,57]) ).
tff(66,plain,
h1(e13) != h4(e13),
inference(modus_ponens,[status(thm)],[65,56]) ).
tff(67,plain,
( ( h1(e13) = h4(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[66]) ).
tff(68,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[68,55]) ).
tff(70,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(72,plain,
( ( op2(h4(e13),h3(e13)) = h4(e13) )
<=> ( h1(e13) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ( h19(e13) != h20(e11) )
<=> ( h2(e13) != h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ( op2(h1(e13),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h19(e13) != h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
( ( e22 != e24 )
<=> ( op2(h1(e13),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(76,plain,
( ( e22 != e24 )
<=> ( e22 != e24 ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,axiom,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e22 != e23 )
& ( e22 != e24 )
& ( e23 != e24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
tff(78,plain,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e22 != e23 )
& ( e22 != e24 ) ),
inference(and_elim,[status(thm)],[77]) ).
tff(79,plain,
e22 != e24,
inference(and_elim,[status(thm)],[78]) ).
tff(80,plain,
e22 != e24,
inference(modus_ponens,[status(thm)],[79,76]) ).
tff(81,plain,
op2(h1(e13),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),
inference(modus_ponens,[status(thm)],[80,75]) ).
tff(82,plain,
h19(e13) != h20(e11),
inference(modus_ponens,[status(thm)],[81,74]) ).
tff(83,plain,
h2(e13) != h4(e13),
inference(modus_ponens,[status(thm)],[82,73]) ).
tff(84,plain,
( ( h2(e13) = h4(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[83]) ).
tff(85,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[84,72]) ).
tff(86,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[85,71]) ).
tff(87,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
( ( op2(h4(e13),h1(e13)) = h4(e13) )
<=> ( h2(e13) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(89,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[88]) ).
tff(90,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[89,87]) ).
tff(91,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(92,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(93,plain,
( ( h16(op1(e13,e11)) = h4(e13) )
<=> ( op2(h4(e13),h3(e13)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
( ( h4(op1(e13,e11)) = h4(e13) )
<=> ( op2(h4(e13),h1(e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(95,plain,
( ( h8(op1(e13,e11)) = h4(e13) )
<=> ( op2(h4(e13),h1(e13)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,plain,
( ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h4(e13) )
<=> ( h1(e11) != h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(97,plain,
( ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h20(e11) )
<=> ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(98,plain,
( ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,plain,
( ( op2(e20,e20) != op2(e20,e22) )
<=> ( op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ( op2(e20,e20) != op2(e20,e22) )
<=> ( op2(e20,e20) != op2(e20,e22) ) ),
inference(rewrite,[status(thm)],]) ).
tff(101,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) )
& ( op2(e21,e21) != op2(e21,e22) ) ),
inference(and_elim,[status(thm)],[61]) ).
tff(102,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e20) != op2(e21,e24) ) ),
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(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) ) ),
inference(and_elim,[status(thm)],[102]) ).
tff(104,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) ) ),
inference(and_elim,[status(thm)],[103]) ).
tff(105,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) )
& ( op2(e21,e20) != op2(e21,e21) ) ),
inference(and_elim,[status(thm)],[104]) ).
tff(106,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) )
& ( op2(e20,e23) != op2(e20,e24) ) ),
inference(and_elim,[status(thm)],[105]) ).
tff(107,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e24) ) ),
inference(and_elim,[status(thm)],[106]) ).
tff(108,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) )
& ( op2(e20,e22) != op2(e20,e23) ) ),
inference(and_elim,[status(thm)],[107]) ).
tff(109,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e24) ) ),
inference(and_elim,[status(thm)],[108]) ).
tff(110,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) ) ),
inference(and_elim,[status(thm)],[109]) ).
tff(111,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) )
& ( op2(e20,e21) != op2(e20,e22) ) ),
inference(and_elim,[status(thm)],[110]) ).
tff(112,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e20) != op2(e20,e24) ) ),
inference(and_elim,[status(thm)],[111]) ).
tff(113,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) ) ),
inference(and_elim,[status(thm)],[112]) ).
tff(114,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) ) ),
inference(and_elim,[status(thm)],[113]) ).
tff(115,plain,
op2(e20,e20) != op2(e20,e22),
inference(and_elim,[status(thm)],[114]) ).
tff(116,plain,
op2(e20,e20) != op2(e20,e22),
inference(modus_ponens,[status(thm)],[115,100]) ).
tff(117,plain,
op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),
inference(modus_ponens,[status(thm)],[116,99]) ).
tff(118,plain,
op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h20(e11),
inference(modus_ponens,[status(thm)],[117,98]) ).
tff(119,plain,
op2(op2(h3(e13),h1(e13)),op2(h3(e13),h1(e13))) != h4(e13),
inference(modus_ponens,[status(thm)],[118,97]) ).
tff(120,plain,
h1(e11) != h4(e13),
inference(modus_ponens,[status(thm)],[119,96]) ).
tff(121,plain,
( ( h1(e11) = h4(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[120]) ).
tff(122,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| $false
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[121,95,94,93]) ).
tff(123,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[122,92]) ).
tff(124,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(125,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(126,plain,
( ( op2(h4(e13),h2(e13)) = h4(e13) )
<=> ( h1(e11) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(127,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[126]) ).
tff(128,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[127,125]) ).
tff(129,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(130,plain,
( ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(131,plain,
( ( h16(op1(e13,e11)) = h20(e11) )
<=> ( h16(op1(e13,e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(132,plain,
( ( op2(h20(e11),h19(e13)) = h20(e11) )
<=> ( op2(h4(e13),h2(e13)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(133,plain,
( ( h8(op1(e13,e11)) = h20(e11) )
<=> ( h8(op1(e13,e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(134,plain,
( ( h4(op1(e13,e11)) = h20(e11) )
<=> ( h4(op1(e13,e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(135,plain,
( ( op2(h20(e11),h20(e11)) = h20(e11) )
<=> ( op2(h20(e11),h20(e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(136,plain,
( ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(monotonicity,[status(thm)],[135,134,133,132,131]) ).
tff(137,plain,
( ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ) ),
inference(transitivity,[status(thm)],[136,130]) ).
tff(138,plain,
( ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(139,plain,
( ( ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h20(e11)) = h20(e11) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(140,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( op2(h20(e11),h20(e11)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(141,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h16(op1(e13,e11)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(142,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( op2(h20(e11),h19(e13)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(143,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h8(op1(e13,e11)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(144,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h4(op1(e13,e11)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(145,plain,
( ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h20(e11)) = h20(e11) ) ) ),
inference(monotonicity,[status(thm)],[144,143,142,141,140]) ).
tff(146,plain,
( ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) ) ),
inference(transitivity,[status(thm)],[145,139]) ).
tff(147,plain,
( ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(148,plain,
( ( op2(e24,e24) = e24 )
<=> ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(149,plain,
( ( op2(e24,e23) = e24 )
<=> ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(150,plain,
( ( op2(e24,e22) = e24 )
<=> ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(151,plain,
( ( op2(e24,e21) = e24 )
<=> ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(152,plain,
( ( op2(e24,e20) = e24 )
<=> ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(153,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(monotonicity,[status(thm)],[152,151,150,149,148]) ).
tff(154,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(transitivity,[status(thm)],[153,147]) ).
tff(155,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(156,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(157,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(158,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(159,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) ) ),
inference(monotonicity,[status(thm)],[158]) ).
tff(160,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 ) ) ),
inference(transitivity,[status(thm)],[159,157]) ).
tff(161,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
inference(monotonicity,[status(thm)],[160]) ).
tff(162,plain,
( ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
<=> ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
inference(transitivity,[status(thm)],[161,156]) ).
tff(163,axiom,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e24) = e20 ) )
& ( ( op2(e20,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e23,e20) = e20 )
| ( op2(e24,e20) = e20 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e24) = e21 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e23,e20) = e21 )
| ( op2(e24,e20) = e21 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e24) = e22 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e23,e20) = e22 )
| ( op2(e24,e20) = e22 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e24) = e23 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e23,e20) = e23 )
| ( op2(e24,e20) = e23 ) )
& ( ( op2(e20,e20) = e24 )
| ( op2(e20,e21) = e24 )
| ( op2(e20,e22) = e24 )
| ( op2(e20,e23) = e24 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e20,e20) = e24 )
| ( op2(e21,e20) = e24 )
| ( op2(e22,e20) = e24 )
| ( op2(e23,e20) = e24 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e21,e24) = e20 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e24,e21) = e20 ) )
& ( ( op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e24) = e21 ) )
& ( ( op2(e20,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e24,e21) = e21 ) )
& ( ( op2(e21,e20) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e24) = e22 ) )
& ( ( op2(e20,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e24,e21) = e22 ) )
& ( ( op2(e21,e20) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e24) = e23 ) )
& ( ( op2(e20,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e24,e21) = e23 ) )
& ( ( op2(e21,e20) = e24 )
| ( op2(e21,e21) = e24 )
| ( op2(e21,e22) = e24 )
| ( op2(e21,e23) = e24 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e20,e21) = e24 )
| ( op2(e21,e21) = e24 )
| ( op2(e22,e21) = e24 )
| ( op2(e23,e21) = e24 )
| ( op2(e24,e21) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e22,e24) = e20 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e24,e22) = e20 ) )
& ( ( op2(e22,e20) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e24) = e21 ) )
& ( ( op2(e20,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e24,e22) = e21 ) )
& ( ( op2(e22,e20) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e24) = e22 ) )
& ( ( op2(e20,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e24,e22) = e22 ) )
& ( ( op2(e22,e20) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e24) = e23 ) )
& ( ( op2(e20,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e24,e22) = e23 ) )
& ( ( op2(e22,e20) = e24 )
| ( op2(e22,e21) = e24 )
| ( op2(e22,e22) = e24 )
| ( op2(e22,e23) = e24 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e20,e22) = e24 )
| ( op2(e21,e22) = e24 )
| ( op2(e22,e22) = e24 )
| ( op2(e23,e22) = e24 )
| ( op2(e24,e22) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e23) = e20 )
| ( op2(e23,e24) = e20 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e23,e23) = e20 )
| ( op2(e24,e23) = e20 ) )
& ( ( op2(e23,e20) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e24) = e21 ) )
& ( ( op2(e20,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e24,e23) = e21 ) )
& ( ( op2(e23,e20) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e24) = e22 ) )
& ( ( op2(e20,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e23,e23) = e22 )
| ( op2(e24,e23) = e22 ) )
& ( ( op2(e23,e20) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e24) = e23 ) )
& ( ( op2(e20,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e24,e23) = e23 ) )
& ( ( op2(e23,e20) = e24 )
| ( op2(e23,e21) = e24 )
| ( op2(e23,e22) = e24 )
| ( op2(e23,e23) = e24 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e20,e23) = e24 )
| ( op2(e21,e23) = e24 )
| ( op2(e22,e23) = e24 )
| ( op2(e23,e23) = e24 )
| ( op2(e24,e23) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e21) = e20 )
| ( op2(e24,e22) = e20 )
| ( op2(e24,e23) = e20 )
| ( op2(e24,e24) = e20 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e21,e24) = e20 )
| ( op2(e22,e24) = e20 )
| ( op2(e23,e24) = e20 )
| ( op2(e24,e24) = e20 ) )
& ( ( op2(e24,e20) = e21 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e22) = e21 )
| ( op2(e24,e23) = e21 )
| ( op2(e24,e24) = e21 ) )
& ( ( op2(e20,e24) = e21 )
| ( op2(e21,e24) = e21 )
| ( op2(e22,e24) = e21 )
| ( op2(e23,e24) = e21 )
| ( op2(e24,e24) = e21 ) )
& ( ( op2(e24,e20) = e22 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e22) = e22 )
| ( op2(e24,e23) = e22 )
| ( op2(e24,e24) = e22 ) )
& ( ( op2(e20,e24) = e22 )
| ( op2(e21,e24) = e22 )
| ( op2(e22,e24) = e22 )
| ( op2(e23,e24) = e22 )
| ( op2(e24,e24) = e22 ) )
& ( ( op2(e24,e20) = e23 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e22) = e23 )
| ( op2(e24,e23) = e23 )
| ( op2(e24,e24) = e23 ) )
& ( ( op2(e20,e24) = e23 )
| ( op2(e21,e24) = e23 )
| ( op2(e22,e24) = e23 )
| ( op2(e23,e24) = e23 )
| ( op2(e24,e24) = e23 ) )
& ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) )
& ( ( op2(e20,e24) = e24 )
| ( op2(e21,e24) = e24 )
| ( op2(e22,e24) = e24 )
| ( op2(e23,e24) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(164,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e24) = e20 ) )
& ( ( op2(e20,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e23,e20) = e20 )
| ( op2(e24,e20) = e20 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e24) = e21 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e23,e20) = e21 )
| ( op2(e24,e20) = e21 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e24) = e22 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e23,e20) = e22 )
| ( op2(e24,e20) = e22 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e24) = e23 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e23,e20) = e23 )
| ( op2(e24,e20) = e23 ) )
& ( ( op2(e20,e20) = e24 )
| ( op2(e20,e21) = e24 )
| ( op2(e20,e22) = e24 )
| ( op2(e20,e23) = e24 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e20,e20) = e24 )
| ( op2(e21,e20) = e24 )
| ( op2(e22,e20) = e24 )
| ( op2(e23,e20) = e24 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e21,e24) = e20 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e24,e21) = e20 ) )
& ( ( op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e24) = e21 ) )
& ( ( op2(e20,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e24,e21) = e21 ) )
& ( ( op2(e21,e20) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e24) = e22 ) )
& ( ( op2(e20,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e24,e21) = e22 ) )
& ( ( op2(e21,e20) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e24) = e23 ) )
& ( ( op2(e20,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e24,e21) = e23 ) )
& ( ( op2(e21,e20) = e24 )
| ( op2(e21,e21) = e24 )
| ( op2(e21,e22) = e24 )
| ( op2(e21,e23) = e24 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e20,e21) = e24 )
| ( op2(e21,e21) = e24 )
| ( op2(e22,e21) = e24 )
| ( op2(e23,e21) = e24 )
| ( op2(e24,e21) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e22,e24) = e20 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e24,e22) = e20 ) )
& ( ( op2(e22,e20) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e24) = e21 ) )
& ( ( op2(e20,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e24,e22) = e21 ) )
& ( ( op2(e22,e20) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e24) = e22 ) )
& ( ( op2(e20,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e24,e22) = e22 ) )
& ( ( op2(e22,e20) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e24) = e23 ) )
& ( ( op2(e20,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e24,e22) = e23 ) )
& ( ( op2(e22,e20) = e24 )
| ( op2(e22,e21) = e24 )
| ( op2(e22,e22) = e24 )
| ( op2(e22,e23) = e24 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e20,e22) = e24 )
| ( op2(e21,e22) = e24 )
| ( op2(e22,e22) = e24 )
| ( op2(e23,e22) = e24 )
| ( op2(e24,e22) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e23) = e20 )
| ( op2(e23,e24) = e20 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e23,e23) = e20 )
| ( op2(e24,e23) = e20 ) )
& ( ( op2(e23,e20) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e24) = e21 ) )
& ( ( op2(e20,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e24,e23) = e21 ) )
& ( ( op2(e23,e20) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e24) = e22 ) )
& ( ( op2(e20,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e23,e23) = e22 )
| ( op2(e24,e23) = e22 ) )
& ( ( op2(e23,e20) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e24) = e23 ) )
& ( ( op2(e20,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e24,e23) = e23 ) )
& ( ( op2(e23,e20) = e24 )
| ( op2(e23,e21) = e24 )
| ( op2(e23,e22) = e24 )
| ( op2(e23,e23) = e24 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e20,e23) = e24 )
| ( op2(e21,e23) = e24 )
| ( op2(e22,e23) = e24 )
| ( op2(e23,e23) = e24 )
| ( op2(e24,e23) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e21) = e20 )
| ( op2(e24,e22) = e20 )
| ( op2(e24,e23) = e20 )
| ( op2(e24,e24) = e20 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e21,e24) = e20 )
| ( op2(e22,e24) = e20 )
| ( op2(e23,e24) = e20 )
| ( op2(e24,e24) = e20 ) )
& ( ( op2(e24,e20) = e21 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e22) = e21 )
| ( op2(e24,e23) = e21 )
| ( op2(e24,e24) = e21 ) )
& ( ( op2(e20,e24) = e21 )
| ( op2(e21,e24) = e21 )
| ( op2(e22,e24) = e21 )
| ( op2(e23,e24) = e21 )
| ( op2(e24,e24) = e21 ) )
& ( ( op2(e24,e20) = e22 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e22) = e22 )
| ( op2(e24,e23) = e22 )
| ( op2(e24,e24) = e22 ) )
& ( ( op2(e20,e24) = e22 )
| ( op2(e21,e24) = e22 )
| ( op2(e22,e24) = e22 )
| ( op2(e23,e24) = e22 )
| ( op2(e24,e24) = e22 ) )
& ( ( op2(e24,e20) = e23 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e22) = e23 )
| ( op2(e24,e23) = e23 )
| ( op2(e24,e24) = e23 ) )
& ( ( op2(e20,e24) = e23 )
| ( op2(e21,e24) = e23 )
| ( op2(e22,e24) = e23 )
| ( op2(e23,e24) = e23 )
| ( op2(e24,e24) = e23 ) )
& ( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ) ),
inference(and_elim,[status(thm)],[163]) ).
tff(165,plain,
( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ),
inference(and_elim,[status(thm)],[164]) ).
tff(166,plain,
( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ),
inference(modus_ponens,[status(thm)],[165,162]) ).
tff(167,plain,
( ( op2(e24,e20) = e24 )
| ( op2(e24,e21) = e24 )
| ( op2(e24,e22) = e24 )
| ( op2(e24,e23) = e24 )
| ( op2(e24,e24) = e24 ) ),
inference(modus_ponens,[status(thm)],[166,155]) ).
tff(168,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[167,154]) ).
tff(169,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[168,147]) ).
tff(170,plain,
( ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h3(e13),h1(e13))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h1(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(h1(e13),op2(h3(e13),h1(e13)))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),h3(e13)) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
| ( op2(op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[169,147]) ).
tff(171,plain,
( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) ),
inference(modus_ponens,[status(thm)],[170,146]) ).
tff(172,plain,
( ( op2(h20(e11),h20(e11)) = h20(e11) )
| ( h4(op1(e13,e11)) = h20(e11) )
| ( h8(op1(e13,e11)) = h20(e11) )
| ( op2(h20(e11),h19(e13)) = h20(e11) )
| ( h16(op1(e13,e11)) = h20(e11) ) ),
inference(modus_ponens,[status(thm)],[171,138]) ).
tff(173,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[172,137]) ).
tff(174,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( op2(h4(e13),h2(e13)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[173,129]) ).
tff(175,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[174,128]) ).
tff(176,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e11) = h4(e13) )
| ( h8(op1(e13,e11)) = h4(e13) )
| ( h4(op1(e13,e11)) = h4(e13) )
| ( h16(op1(e13,e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[175,124]) ).
tff(177,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[176,123]) ).
tff(178,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e13)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[177,91]) ).
tff(179,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[178,90]) ).
tff(180,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h2(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) )
| ( op2(h4(e13),h3(e13)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[179,87]) ).
tff(181,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[180,86]) ).
tff(182,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h1(e13) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[181,70]) ).
tff(183,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( op2(h4(e13),h1(e11)) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[182,69]) ).
tff(184,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[183,54]) ).
tff(185,plain,
( ( op2(h20(e11),h20(e11)) = h4(e13) )
| ( h3(e13) = h4(e13) ) ),
inference(modus_ponens,[status(thm)],[184,51]) ).
tff(186,plain,
op2(h20(e11),h20(e11)) = h4(e13),
inference(modus_ponens,[status(thm)],[185,50]) ).
tff(187,plain,
h4(e13) = op2(h20(e11),h20(e11)),
inference(symmetry,[status(thm)],[186]) ).
tff(188,plain,
( ( $false
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(189,plain,
( ( op2(h19(e13),h19(e13)) != h1(e13) )
<=> ( h2(e13) != h1(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(190,plain,
( ( op2(h19(e13),h19(e13)) != op2(h3(e13),h2(e13)) )
<=> ( op2(h19(e13),h19(e13)) != h1(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(191,plain,
( ( op2(h19(e13),h19(e13)) != h11(op1(e13,e11)) )
<=> ( op2(h19(e13),h19(e13)) != op2(h3(e13),h2(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(192,plain,
( ( op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h3(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( op2(h19(e13),h19(e13)) != h11(op1(e13,e11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(193,plain,
( ( op2(e22,e22) != op2(e23,e22) )
<=> ( op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h3(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(194,plain,
( ( op2(e22,e22) != op2(e23,e22) )
<=> ( op2(e22,e22) != op2(e23,e22) ) ),
inference(rewrite,[status(thm)],]) ).
tff(195,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) )
& ( op2(e20,e20) != op2(e20,e21) ) ),
inference(and_elim,[status(thm)],[114]) ).
tff(196,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) )
& ( op2(e23,e24) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[195]) ).
tff(197,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) )
& ( op2(e22,e24) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[196]) ).
tff(198,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) )
& ( op2(e22,e24) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[197]) ).
tff(199,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) )
& ( op2(e21,e24) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[198]) ).
tff(200,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) )
& ( op2(e21,e24) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[199]) ).
tff(201,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) )
& ( op2(e21,e24) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[200]) ).
tff(202,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) )
& ( op2(e20,e24) != op2(e24,e24) ) ),
inference(and_elim,[status(thm)],[201]) ).
tff(203,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) )
& ( op2(e20,e24) != op2(e23,e24) ) ),
inference(and_elim,[status(thm)],[202]) ).
tff(204,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) )
& ( op2(e20,e24) != op2(e22,e24) ) ),
inference(and_elim,[status(thm)],[203]) ).
tff(205,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) )
& ( op2(e20,e24) != op2(e21,e24) ) ),
inference(and_elim,[status(thm)],[204]) ).
tff(206,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) )
& ( op2(e23,e23) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[205]) ).
tff(207,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[206]) ).
tff(208,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) )
& ( op2(e22,e23) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[207]) ).
tff(209,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[208]) ).
tff(210,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[209]) ).
tff(211,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) )
& ( op2(e21,e23) != op2(e22,e23) ) ),
inference(and_elim,[status(thm)],[210]) ).
tff(212,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e20,e23) != op2(e24,e23) ) ),
inference(and_elim,[status(thm)],[211]) ).
tff(213,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) ) ),
inference(and_elim,[status(thm)],[212]) ).
tff(214,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) ) ),
inference(and_elim,[status(thm)],[213]) ).
tff(215,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) )
& ( op2(e20,e23) != op2(e21,e23) ) ),
inference(and_elim,[status(thm)],[214]) ).
tff(216,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) )
& ( op2(e23,e22) != op2(e24,e22) ) ),
inference(and_elim,[status(thm)],[215]) ).
tff(217,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e24,e22) ) ),
inference(and_elim,[status(thm)],[216]) ).
tff(218,plain,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e20,e20) != op2(e24,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e24,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e24,e20) )
& ( op2(e23,e20) != op2(e24,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e20,e21) != op2(e24,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e24,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e24,e21) )
& ( op2(e23,e21) != op2(e24,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e20,e22) != op2(e24,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e24,e22) )
& ( op2(e22,e22) != op2(e23,e22) ) ),
inference(and_elim,[status(thm)],[217]) ).
tff(219,plain,
op2(e22,e22) != op2(e23,e22),
inference(and_elim,[status(thm)],[218]) ).
tff(220,plain,
op2(e22,e22) != op2(e23,e22),
inference(modus_ponens,[status(thm)],[219,194]) ).
tff(221,plain,
op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(h3(e13),op2(h1(e13),op2(h3(e13),h1(e13)))),
inference(modus_ponens,[status(thm)],[220,193]) ).
tff(222,plain,
op2(h19(e13),h19(e13)) != h11(op1(e13,e11)),
inference(modus_ponens,[status(thm)],[221,192]) ).
tff(223,plain,
op2(h19(e13),h19(e13)) != op2(h3(e13),h2(e13)),
inference(modus_ponens,[status(thm)],[222,191]) ).
tff(224,plain,
op2(h19(e13),h19(e13)) != h1(e13),
inference(modus_ponens,[status(thm)],[223,190]) ).
tff(225,plain,
h2(e13) != h1(e13),
inference(modus_ponens,[status(thm)],[224,189]) ).
tff(226,plain,
( ( h2(e13) = h1(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[225]) ).
tff(227,plain,
( ( ( h2(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( $false
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[226]) ).
tff(228,plain,
( ( ( h2(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(transitivity,[status(thm)],[227,188]) ).
tff(229,plain,
( ( ( h2(e13) = h1(e13) )
| $false
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h2(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(230,plain,
( ( op2(h19(e13),h19(e13)) != h1(e11) )
<=> ( h2(e13) != h1(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(231,plain,
( ( op2(h19(e13),h19(e13)) != op2(h2(e13),h3(e13)) )
<=> ( op2(h19(e13),h19(e13)) != h1(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(232,plain,
( ( op2(h19(e13),h19(e13)) != h15(op1(e13,e11)) )
<=> ( op2(h19(e13),h19(e13)) != op2(h2(e13),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(233,plain,
( ( op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(op2(h1(e13),op2(h3(e13),h1(e13))),h3(e13)) )
<=> ( op2(h19(e13),h19(e13)) != h15(op1(e13,e11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(234,plain,
( ( op2(e22,e22) != op2(e22,e23) )
<=> ( op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(op2(h1(e13),op2(h3(e13),h1(e13))),h3(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(235,plain,
( ( op2(e22,e22) != op2(e22,e23) )
<=> ( op2(e22,e22) != op2(e22,e23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(236,plain,
op2(e22,e22) != op2(e22,e23),
inference(and_elim,[status(thm)],[30]) ).
tff(237,plain,
op2(e22,e22) != op2(e22,e23),
inference(modus_ponens,[status(thm)],[236,235]) ).
tff(238,plain,
op2(op2(h1(e13),op2(h3(e13),h1(e13))),op2(h1(e13),op2(h3(e13),h1(e13)))) != op2(op2(h1(e13),op2(h3(e13),h1(e13))),h3(e13)),
inference(modus_ponens,[status(thm)],[237,234]) ).
tff(239,plain,
op2(h19(e13),h19(e13)) != h15(op1(e13,e11)),
inference(modus_ponens,[status(thm)],[238,233]) ).
tff(240,plain,
op2(h19(e13),h19(e13)) != op2(h2(e13),h3(e13)),
inference(modus_ponens,[status(thm)],[239,232]) ).
tff(241,plain,
op2(h19(e13),h19(e13)) != h1(e11),
inference(modus_ponens,[status(thm)],[240,231]) ).
tff(242,plain,
h2(e13) != h1(e11),
inference(modus_ponens,[status(thm)],[241,230]) ).
tff(243,plain,
( ( h2(e13) = h1(e11) )
<=> $false ),
inference(iff_false,[status(thm)],[242]) ).
tff(244,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
<=> ( h2(e13) = h1(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(245,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h2(e13) = h1(e13) )
| $false
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[244,243]) ).
tff(246,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h2(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(transitivity,[status(thm)],[245,229]) ).
tff(247,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(248,plain,
( ( h20(op1(e13,e11)) = h1(e11) )
<=> ( h2(e13) = h1(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(249,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[248]) ).
tff(250,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(transitivity,[status(thm)],[249,247]) ).
tff(251,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(252,plain,
( ( $false
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| $false
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(253,plain,
( ( h2(e13) != op2(h1(e13),h2(e13)) )
<=> ( h2(e13) != h3(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(254,plain,
( ( h2(e13) != h10(op1(e13,e11)) )
<=> ( h2(e13) != op2(h1(e13),h2(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(255,plain,
( ( h19(e13) != h10(op1(e13,e11)) )
<=> ( h2(e13) != h10(op1(e13,e11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(256,plain,
( ( op2(h1(e13),op2(h3(e13),h1(e13))) != op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h19(e13) != h10(op1(e13,e11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(257,plain,
( ( op2(e21,e20) != op2(e21,e22) )
<=> ( op2(h1(e13),op2(h3(e13),h1(e13))) != op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(258,plain,
( ( op2(e21,e20) != op2(e21,e22) )
<=> ( op2(e21,e20) != op2(e21,e22) ) ),
inference(rewrite,[status(thm)],]) ).
tff(259,plain,
op2(e21,e20) != op2(e21,e22),
inference(and_elim,[status(thm)],[104]) ).
tff(260,plain,
op2(e21,e20) != op2(e21,e22),
inference(modus_ponens,[status(thm)],[259,258]) ).
tff(261,plain,
op2(h1(e13),op2(h3(e13),h1(e13))) != op2(h1(e13),op2(h1(e13),op2(h3(e13),h1(e13)))),
inference(modus_ponens,[status(thm)],[260,257]) ).
tff(262,plain,
h19(e13) != h10(op1(e13,e11)),
inference(modus_ponens,[status(thm)],[261,256]) ).
tff(263,plain,
h2(e13) != h10(op1(e13,e11)),
inference(modus_ponens,[status(thm)],[262,255]) ).
tff(264,plain,
h2(e13) != op2(h1(e13),h2(e13)),
inference(modus_ponens,[status(thm)],[263,254]) ).
tff(265,plain,
h2(e13) != h3(e13),
inference(modus_ponens,[status(thm)],[264,253]) ).
tff(266,plain,
( ( h2(e13) = h3(e13) )
<=> $false ),
inference(iff_false,[status(thm)],[265]) ).
tff(267,plain,
( ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( $false
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| $false
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[266,84]) ).
tff(268,plain,
( ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(transitivity,[status(thm)],[267,252]) ).
tff(269,plain,
( ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(270,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h2(e13) = h4(e13) )
| ( h2(e13) = h3(e13) ) )
<=> ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(271,plain,
( ( op2(h3(e13),h4(e13)) = h3(e13) )
<=> ( h2(e13) = h3(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(272,plain,
( ( op2(h3(e13),h4(e13)) = h4(e13) )
<=> ( h2(e13) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(273,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h2(e13) = h4(e13) )
| ( h2(e13) = h3(e13) ) ) ),
inference(monotonicity,[status(thm)],[272,271]) ).
tff(274,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) )
<=> ( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(transitivity,[status(thm)],[273,270]) ).
tff(275,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(276,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(277,plain,
( ( h20(op1(e13,e11)) = h4(e13) )
<=> ( op2(h3(e13),h4(e13)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(278,plain,
( ( h20(op1(e13,e11)) = h3(e13) )
<=> ( op2(h3(e13),h4(e13)) = h3(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(279,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[278,277]) ).
tff(280,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ) ),
inference(transitivity,[status(thm)],[279,276]) ).
tff(281,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(282,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(283,plain,
( ( h20(op1(e13,e11)) = h20(e11) )
<=> ( h20(op1(e13,e11)) = h4(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(284,plain,
( ( h20(op1(e13,e11)) = h19(e13) )
<=> ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(285,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ) ),
inference(monotonicity,[status(thm)],[284,283]) ).
tff(286,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(transitivity,[status(thm)],[285,282]) ).
tff(287,plain,
( ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(288,plain,
( ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h20(e11) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(289,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) )
<=> ( h20(op1(e13,e11)) = h20(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(290,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
<=> ( h20(op1(e13,e11)) = h3(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(291,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
<=> ( h20(op1(e13,e11)) = h19(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(292,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
<=> ( h20(op1(e13,e11)) = h1(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(293,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
<=> ( h20(op1(e13,e11)) = h1(e11) ) ),
inference(rewrite,[status(thm)],]) ).
tff(294,plain,
( ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h20(e11) ) ) ),
inference(monotonicity,[status(thm)],[293,292,291,290,289]) ).
tff(295,plain,
( ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ) ),
inference(transitivity,[status(thm)],[294,288]) ).
tff(296,plain,
( ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) )
<=> ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(297,plain,
( ( op2(e23,e24) = e24 )
<=> ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(298,plain,
( ( op2(e23,e24) = e23 )
<=> ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(299,plain,
( ( op2(e23,e24) = e22 )
<=> ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(300,plain,
( ( op2(e23,e24) = e21 )
<=> ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(301,plain,
( ( op2(e23,e24) = e20 )
<=> ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(302,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(monotonicity,[status(thm)],[301,300,299,298,297]) ).
tff(303,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ) ),
inference(transitivity,[status(thm)],[302,296]) ).
tff(304,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(305,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(306,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(307,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(308,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) ) ),
inference(monotonicity,[status(thm)],[307]) ).
tff(309,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 ) ) ),
inference(transitivity,[status(thm)],[308,306]) ).
tff(310,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ) ),
inference(monotonicity,[status(thm)],[309]) ).
tff(311,plain,
( ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
<=> ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ) ),
inference(transitivity,[status(thm)],[310,305]) ).
tff(312,axiom,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e20) = e21 )
| ( op2(e24,e20) = e22 )
| ( op2(e24,e20) = e23 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e24,e21) = e20 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e21) = e24 ) )
& ( ( op2(e24,e22) = e20 )
| ( op2(e24,e22) = e21 )
| ( op2(e24,e22) = e22 )
| ( op2(e24,e22) = e23 )
| ( op2(e24,e22) = e24 ) )
& ( ( op2(e24,e23) = e20 )
| ( op2(e24,e23) = e21 )
| ( op2(e24,e23) = e22 )
| ( op2(e24,e23) = e23 )
| ( op2(e24,e23) = e24 ) )
& ( ( op2(e24,e24) = e20 )
| ( op2(e24,e24) = e21 )
| ( op2(e24,e24) = e22 )
| ( op2(e24,e24) = e23 )
| ( op2(e24,e24) = e24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(313,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e20) = e21 )
| ( op2(e24,e20) = e22 )
| ( op2(e24,e20) = e23 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e24,e21) = e20 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e21) = e24 ) )
& ( ( op2(e24,e22) = e20 )
| ( op2(e24,e22) = e21 )
| ( op2(e24,e22) = e22 )
| ( op2(e24,e22) = e23 )
| ( op2(e24,e22) = e24 ) )
& ( ( op2(e24,e23) = e20 )
| ( op2(e24,e23) = e21 )
| ( op2(e24,e23) = e22 )
| ( op2(e24,e23) = e23 )
| ( op2(e24,e23) = e24 ) ) ),
inference(and_elim,[status(thm)],[312]) ).
tff(314,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e20) = e21 )
| ( op2(e24,e20) = e22 )
| ( op2(e24,e20) = e23 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e24,e21) = e20 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e21) = e24 ) )
& ( ( op2(e24,e22) = e20 )
| ( op2(e24,e22) = e21 )
| ( op2(e24,e22) = e22 )
| ( op2(e24,e22) = e23 )
| ( op2(e24,e22) = e24 ) ) ),
inference(and_elim,[status(thm)],[313]) ).
tff(315,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e20) = e21 )
| ( op2(e24,e20) = e22 )
| ( op2(e24,e20) = e23 )
| ( op2(e24,e20) = e24 ) )
& ( ( op2(e24,e21) = e20 )
| ( op2(e24,e21) = e21 )
| ( op2(e24,e21) = e22 )
| ( op2(e24,e21) = e23 )
| ( op2(e24,e21) = e24 ) ) ),
inference(and_elim,[status(thm)],[314]) ).
tff(316,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) )
& ( ( op2(e24,e20) = e20 )
| ( op2(e24,e20) = e21 )
| ( op2(e24,e20) = e22 )
| ( op2(e24,e20) = e23 )
| ( op2(e24,e20) = e24 ) ) ),
inference(and_elim,[status(thm)],[315]) ).
tff(317,plain,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e24 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e24 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e24 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e24 ) )
& ( ( op2(e20,e24) = e20 )
| ( op2(e20,e24) = e21 )
| ( op2(e20,e24) = e22 )
| ( op2(e20,e24) = e23 )
| ( op2(e20,e24) = e24 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e24 ) )
& ( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e24 ) )
& ( ( op2(e21,e22) = e20 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e24 ) )
& ( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e24 ) )
& ( ( op2(e21,e24) = e20 )
| ( op2(e21,e24) = e21 )
| ( op2(e21,e24) = e22 )
| ( op2(e21,e24) = e23 )
| ( op2(e21,e24) = e24 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e24 ) )
& ( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e24 ) )
& ( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e24 ) )
& ( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e24 ) )
& ( ( op2(e22,e24) = e20 )
| ( op2(e22,e24) = e21 )
| ( op2(e22,e24) = e22 )
| ( op2(e22,e24) = e23 )
| ( op2(e22,e24) = e24 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e24 ) )
& ( ( op2(e23,e21) = e20 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e24 ) )
& ( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e24 ) )
& ( ( op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e24 ) )
& ( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ) ),
inference(and_elim,[status(thm)],[316]) ).
tff(318,plain,
( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ),
inference(and_elim,[status(thm)],[317]) ).
tff(319,plain,
( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ),
inference(modus_ponens,[status(thm)],[318,311]) ).
tff(320,plain,
( ( op2(e23,e24) = e20 )
| ( op2(e23,e24) = e21 )
| ( op2(e23,e24) = e22 )
| ( op2(e23,e24) = e23 )
| ( op2(e23,e24) = e24 ) ),
inference(modus_ponens,[status(thm)],[319,304]) ).
tff(321,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[320,303]) ).
tff(322,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[321,296]) ).
tff(323,plain,
( ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h3(e13),h1(e13)) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h1(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = h3(e13) )
| ( op2(h3(e13),op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13))))) = op2(op2(h3(e13),h1(e13)),op2(h1(e13),op2(h3(e13),h1(e13)))) ) ),
inference(modus_ponens,[status(thm)],[322,296]) ).
tff(324,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ),
inference(modus_ponens,[status(thm)],[323,295]) ).
tff(325,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h19(e13) )
| ( h20(op1(e13,e11)) = h20(e11) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) ) ),
inference(modus_ponens,[status(thm)],[324,287]) ).
tff(326,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[325,286]) ).
tff(327,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[326,281]) ).
tff(328,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[327,281]) ).
tff(329,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[328,281]) ).
tff(330,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ),
inference(modus_ponens,[status(thm)],[329,280]) ).
tff(331,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ),
inference(modus_ponens,[status(thm)],[330,275]) ).
tff(332,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ),
inference(modus_ponens,[status(thm)],[331,275]) ).
tff(333,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h3(e13),h4(e13)) = h4(e13) )
| ( op2(h3(e13),h4(e13)) = h3(e13) ) ),
inference(modus_ponens,[status(thm)],[332,275]) ).
tff(334,plain,
( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[333,274]) ).
tff(335,plain,
( ( h2(e13) = h3(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h2(e13) = h4(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[334,269]) ).
tff(336,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[335,268]) ).
tff(337,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[336,251]) ).
tff(338,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[337,251]) ).
tff(339,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[338,251]) ).
tff(340,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[339,250]) ).
tff(341,plain,
( ( h20(op1(e13,e11)) = h1(e13) )
| ( h2(e13) = h1(e11) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[340,247]) ).
tff(342,plain,
( ( h2(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[341,246]) ).
tff(343,plain,
h20(op1(e13,e11)) = h2(e13),
inference(modus_ponens,[status(thm)],[342,228]) ).
tff(344,plain,
( ~ ~ ( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) )
<=> ( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(345,plain,
( ( ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ~ ( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(346,plain,
( ~ ( ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ~ ~ ( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) ) ),
inference(monotonicity,[status(thm)],[345]) ).
tff(347,plain,
( ~ ( ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e13,e11)) = h2(e13) ) )
<=> ( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) ) ),
inference(transitivity,[status(thm)],[346,344]) ).
tff(348,plain,
( ~ ( ( h4(e13) = op2(h2(e13),h1(e13)) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h2(e13) = op2(h4(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e11),h1(e13)) )
& ( h1(e11) = op2(h3(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e13),h2(e13)) )
& ( h1(e11) = op2(h1(e13),h4(e13)) )
& ( h2(e13) = op2(h1(e13),h1(e11)) )
& ( h4(e13) = op2(h1(e13),h3(e13)) )
& ( h1(e13) = op2(h1(e13),h1(e13)) )
& ( ( h1(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) )
<=> ~ ( ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(349,plain,
( ~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) )
<=> ~ ( ( h4(e13) = op2(h2(e13),h1(e13)) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h2(e13) = op2(h4(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e11),h1(e13)) )
& ( h1(e11) = op2(h3(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e13),h2(e13)) )
& ( h1(e11) = op2(h1(e13),h4(e13)) )
& ( h2(e13) = op2(h1(e13),h1(e11)) )
& ( h4(e13) = op2(h1(e13),h3(e13)) )
& ( h1(e13) = op2(h1(e13),h1(e13)) )
& ( ( h1(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(350,plain,
( ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) )
<=> ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(351,plain,
( ~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) )
<=> ~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[350]) ).
tff(352,plain,
( ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(353,plain,
( ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(354,plain,
( ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[353]) ).
tff(355,plain,
( ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(356,plain,
( ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) )
<=> ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(357,plain,
( ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[356]) ).
tff(358,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(359,plain,
( ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(360,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[359]) ).
tff(361,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(362,plain,
( ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(363,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[362]) ).
tff(364,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(365,plain,
( ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(366,plain,
( ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[365]) ).
tff(367,plain,
( ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(368,plain,
( ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(369,plain,
( ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) )
<=> ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[368]) ).
tff(370,plain,
( ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) )
<=> ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(371,plain,
( ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) )
<=> ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(372,plain,
( ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) )
<=> ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) ) ),
inference(monotonicity,[status(thm)],[371]) ).
tff(373,plain,
( ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) )
<=> ~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(374,plain,
( ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) )
<=> ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(375,plain,
( ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) )
<=> ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) ) ),
inference(monotonicity,[status(thm)],[374]) ).
tff(376,plain,
( ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) )
<=> ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(377,plain,
( ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) )
<=> ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(378,plain,
( ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) )
<=> ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) ) ),
inference(monotonicity,[status(thm)],[377]) ).
tff(379,plain,
( ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) )
<=> ~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(380,plain,
( ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) )
<=> ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(381,plain,
( ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) )
<=> ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(382,plain,
( ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) )
<=> ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(383,plain,
( ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) )
<=> ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ) ),
inference(monotonicity,[status(thm)],[382]) ).
tff(384,plain,
( ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e13) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e10) = e24 )
| ( h20(e11) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) )
<=> ~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(385,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(e10,e14)) = op2(h1(e10),h1(e14)) )
& ( h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
& ( h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) )
& ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
& ( h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) )
& ( h1(op1(e11,e14)) = op2(h1(e11),h1(e14)) )
& ( h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) )
& ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) )
& ( h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) )
& ( h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) )
& ( h1(op1(e12,e14)) = op2(h1(e12),h1(e14)) )
& ( h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) )
& ( h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) )
& ( h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) )
& ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) )
& ( h1(op1(e13,e14)) = op2(h1(e13),h1(e14)) )
& ( h1(op1(e14,e10)) = op2(h1(e14),h1(e10)) )
& ( h1(op1(e14,e11)) = op2(h1(e14),h1(e11)) )
& ( h1(op1(e14,e12)) = op2(h1(e14),h1(e12)) )
& ( h1(op1(e14,e13)) = op2(h1(e14),h1(e13)) )
& ( h1(op1(e14,e14)) = op2(h1(e14),h1(e14)) )
& ( ( h1(e10) = e20 )
| ( h1(e11) = e20 )
| ( h1(e12) = e20 )
| ( h1(e13) = e20 )
| ( h1(e14) = e20 ) )
& ( ( h1(e10) = e21 )
| ( h1(e11) = e21 )
| ( h1(e12) = e21 )
| ( h1(e13) = e21 )
| ( h1(e14) = e21 ) )
& ( ( h1(e10) = e22 )
| ( h1(e11) = e22 )
| ( h1(e12) = e22 )
| ( h1(e13) = e22 )
| ( h1(e14) = e22 ) )
& ( ( h1(e10) = e23 )
| ( h1(e11) = e23 )
| ( h1(e12) = e23 )
| ( h1(e13) = e23 )
| ( h1(e14) = e23 ) )
& ( ( h1(e10) = e24 )
| ( h1(e11) = e24 )
| ( h1(e12) = e24 )
| ( h1(e13) = e24 )
| ( h1(e14) = e24 ) ) )
| ( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
& ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) )
& ( h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) )
& ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
& ( h2(op1(e10,e14)) = op2(h2(e10),h2(e14)) )
& ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) )
& ( h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) )
& ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
& ( h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
& ( h2(op1(e11,e14)) = op2(h2(e11),h2(e14)) )
& ( h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) )
& ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) )
& ( h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) )
& ( h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) )
& ( h2(op1(e12,e14)) = op2(h2(e12),h2(e14)) )
& ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) )
& ( h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) )
& ( h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) )
& ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
& ( h2(op1(e13,e14)) = op2(h2(e13),h2(e14)) )
& ( h2(op1(e14,e10)) = op2(h2(e14),h2(e10)) )
& ( h2(op1(e14,e11)) = op2(h2(e14),h2(e11)) )
& ( h2(op1(e14,e12)) = op2(h2(e14),h2(e12)) )
& ( h2(op1(e14,e13)) = op2(h2(e14),h2(e13)) )
& ( h2(op1(e14,e14)) = op2(h2(e14),h2(e14)) )
& ( ( h2(e10) = e20 )
| ( h2(e11) = e20 )
| ( h2(e12) = e20 )
| ( h2(e13) = e20 )
| ( h2(e14) = e20 ) )
& ( ( h2(e10) = e21 )
| ( h2(e11) = e21 )
| ( h2(e12) = e21 )
| ( h2(e13) = e21 )
| ( h2(e14) = e21 ) )
& ( ( h2(e10) = e22 )
| ( h2(e11) = e22 )
| ( h2(e12) = e22 )
| ( h2(e13) = e22 )
| ( h2(e14) = e22 ) )
& ( ( h2(e10) = e23 )
| ( h2(e11) = e23 )
| ( h2(e12) = e23 )
| ( h2(e13) = e23 )
| ( h2(e14) = e23 ) )
& ( ( h2(e10) = e24 )
| ( h2(e11) = e24 )
| ( h2(e12) = e24 )
| ( h2(e13) = e24 )
| ( h2(e14) = e24 ) ) )
| ( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
& ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) )
& ( h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) )
& ( h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) )
& ( h3(op1(e10,e14)) = op2(h3(e10),h3(e14)) )
& ( h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) )
& ( h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
& ( h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) )
& ( h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) )
& ( h3(op1(e11,e14)) = op2(h3(e11),h3(e14)) )
& ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) )
& ( h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) )
& ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) )
& ( h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) )
& ( h3(op1(e12,e14)) = op2(h3(e12),h3(e14)) )
& ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) )
& ( h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) )
& ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) )
& ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h3(op1(e13,e14)) = op2(h3(e13),h3(e14)) )
& ( h3(op1(e14,e10)) = op2(h3(e14),h3(e10)) )
& ( h3(op1(e14,e11)) = op2(h3(e14),h3(e11)) )
& ( h3(op1(e14,e12)) = op2(h3(e14),h3(e12)) )
& ( h3(op1(e14,e13)) = op2(h3(e14),h3(e13)) )
& ( h3(op1(e14,e14)) = op2(h3(e14),h3(e14)) )
& ( ( h3(e10) = e20 )
| ( h3(e11) = e20 )
| ( h3(e12) = e20 )
| ( h3(e13) = e20 )
| ( h3(e14) = e20 ) )
& ( ( h3(e10) = e21 )
| ( h3(e11) = e21 )
| ( h3(e12) = e21 )
| ( h3(e13) = e21 )
| ( h3(e14) = e21 ) )
& ( ( h3(e10) = e22 )
| ( h3(e11) = e22 )
| ( h3(e12) = e22 )
| ( h3(e13) = e22 )
| ( h3(e14) = e22 ) )
& ( ( h3(e10) = e23 )
| ( h3(e11) = e23 )
| ( h3(e12) = e23 )
| ( h3(e13) = e23 )
| ( h3(e14) = e23 ) )
& ( ( h3(e10) = e24 )
| ( h3(e11) = e24 )
| ( h3(e12) = e24 )
| ( h3(e13) = e24 )
| ( h3(e14) = e24 ) ) )
| ( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
& ( h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
& ( h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
& ( h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
& ( h4(op1(e10,e14)) = op2(h4(e10),h4(e14)) )
& ( h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
& ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
& ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
& ( h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
& ( h4(op1(e11,e14)) = op2(h4(e11),h4(e14)) )
& ( h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
& ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
& ( h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
& ( h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
& ( h4(op1(e12,e14)) = op2(h4(e12),h4(e14)) )
& ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
& ( h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
& ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
& ( h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) )
& ( h4(op1(e13,e14)) = op2(h4(e13),h4(e14)) )
& ( h4(op1(e14,e10)) = op2(h4(e14),h4(e10)) )
& ( h4(op1(e14,e11)) = op2(h4(e14),h4(e11)) )
& ( h4(op1(e14,e12)) = op2(h4(e14),h4(e12)) )
& ( h4(op1(e14,e13)) = op2(h4(e14),h4(e13)) )
& ( h4(op1(e14,e14)) = op2(h4(e14),h4(e14)) )
& ( ( h4(e10) = e20 )
| ( h4(e11) = e20 )
| ( h4(e12) = e20 )
| ( h4(e13) = e20 )
| ( h4(e14) = e20 ) )
& ( ( h4(e10) = e21 )
| ( h4(e11) = e21 )
| ( h4(e12) = e21 )
| ( h4(e13) = e21 )
| ( h4(e14) = e21 ) )
& ( ( h4(e10) = e22 )
| ( h4(e11) = e22 )
| ( h4(e12) = e22 )
| ( h4(e13) = e22 )
| ( h4(e14) = e22 ) )
& ( ( h4(e10) = e23 )
| ( h4(e11) = e23 )
| ( h4(e12) = e23 )
| ( h4(e13) = e23 )
| ( h4(e14) = e23 ) )
& ( ( h4(e10) = e24 )
| ( h4(e11) = e24 )
| ( h4(e12) = e24 )
| ( h4(e13) = e24 )
| ( h4(e14) = e24 ) ) )
| ( ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
& ( h5(op1(e10,e11)) = op2(h5(e10),h5(e11)) )
& ( h5(op1(e10,e12)) = op2(h5(e10),h5(e12)) )
& ( h5(op1(e10,e13)) = op2(h5(e10),h5(e13)) )
& ( h5(op1(e10,e14)) = op2(h5(e10),h5(e14)) )
& ( h5(op1(e11,e10)) = op2(h5(e11),h5(e10)) )
& ( h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) )
& ( h5(op1(e11,e12)) = op2(h5(e11),h5(e12)) )
& ( h5(op1(e11,e13)) = op2(h5(e11),h5(e13)) )
& ( h5(op1(e11,e14)) = op2(h5(e11),h5(e14)) )
& ( h5(op1(e12,e10)) = op2(h5(e12),h5(e10)) )
& ( h5(op1(e12,e11)) = op2(h5(e12),h5(e11)) )
& ( h5(op1(e12,e12)) = op2(h5(e12),h5(e12)) )
& ( h5(op1(e12,e13)) = op2(h5(e12),h5(e13)) )
& ( h5(op1(e12,e14)) = op2(h5(e12),h5(e14)) )
& ( h5(op1(e13,e10)) = op2(h5(e13),h5(e10)) )
& ( h5(op1(e13,e11)) = op2(h5(e13),h5(e11)) )
& ( h5(op1(e13,e12)) = op2(h5(e13),h5(e12)) )
& ( h5(op1(e13,e13)) = op2(h5(e13),h5(e13)) )
& ( h5(op1(e13,e14)) = op2(h5(e13),h5(e14)) )
& ( h5(op1(e14,e10)) = op2(h5(e14),h5(e10)) )
& ( h5(op1(e14,e11)) = op2(h5(e14),h5(e11)) )
& ( h5(op1(e14,e12)) = op2(h5(e14),h5(e12)) )
& ( h5(op1(e14,e13)) = op2(h5(e14),h5(e13)) )
& ( h5(op1(e14,e14)) = op2(h5(e14),h5(e14)) )
& ( ( h5(e10) = e20 )
| ( h5(e11) = e20 )
| ( h5(e12) = e20 )
| ( h5(e13) = e20 )
| ( h5(e14) = e20 ) )
& ( ( h5(e10) = e21 )
| ( h5(e11) = e21 )
| ( h5(e12) = e21 )
| ( h5(e13) = e21 )
| ( h5(e14) = e21 ) )
& ( ( h5(e10) = e22 )
| ( h5(e11) = e22 )
| ( h5(e12) = e22 )
| ( h5(e13) = e22 )
| ( h5(e14) = e22 ) )
& ( ( h5(e10) = e23 )
| ( h5(e11) = e23 )
| ( h5(e12) = e23 )
| ( h5(e13) = e23 )
| ( h5(e14) = e23 ) )
& ( ( h5(e10) = e24 )
| ( h5(e11) = e24 )
| ( h5(e12) = e24 )
| ( h5(e13) = e24 )
| ( h5(e14) = e24 ) ) )
| ( ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
& ( h6(op1(e10,e11)) = op2(h6(e10),h6(e11)) )
& ( h6(op1(e10,e12)) = op2(h6(e10),h6(e12)) )
& ( h6(op1(e10,e13)) = op2(h6(e10),h6(e13)) )
& ( h6(op1(e10,e14)) = op2(h6(e10),h6(e14)) )
& ( h6(op1(e11,e10)) = op2(h6(e11),h6(e10)) )
& ( h6(op1(e11,e11)) = op2(h6(e11),h6(e11)) )
& ( h6(op1(e11,e12)) = op2(h6(e11),h6(e12)) )
& ( h6(op1(e11,e13)) = op2(h6(e11),h6(e13)) )
& ( h6(op1(e11,e14)) = op2(h6(e11),h6(e14)) )
& ( h6(op1(e12,e10)) = op2(h6(e12),h6(e10)) )
& ( h6(op1(e12,e11)) = op2(h6(e12),h6(e11)) )
& ( h6(op1(e12,e12)) = op2(h6(e12),h6(e12)) )
& ( h6(op1(e12,e13)) = op2(h6(e12),h6(e13)) )
& ( h6(op1(e12,e14)) = op2(h6(e12),h6(e14)) )
& ( h6(op1(e13,e10)) = op2(h6(e13),h6(e10)) )
& ( h6(op1(e13,e11)) = op2(h6(e13),h6(e11)) )
& ( h6(op1(e13,e12)) = op2(h6(e13),h6(e12)) )
& ( h6(op1(e13,e13)) = op2(h6(e13),h6(e13)) )
& ( h6(op1(e13,e14)) = op2(h6(e13),h6(e14)) )
& ( h6(op1(e14,e10)) = op2(h6(e14),h6(e10)) )
& ( h6(op1(e14,e11)) = op2(h6(e14),h6(e11)) )
& ( h6(op1(e14,e12)) = op2(h6(e14),h6(e12)) )
& ( h6(op1(e14,e13)) = op2(h6(e14),h6(e13)) )
& ( h6(op1(e14,e14)) = op2(h6(e14),h6(e14)) )
& ( ( h6(e10) = e20 )
| ( h6(e11) = e20 )
| ( h6(e12) = e20 )
| ( h6(e13) = e20 )
| ( h6(e14) = e20 ) )
& ( ( h6(e10) = e21 )
| ( h6(e11) = e21 )
| ( h6(e12) = e21 )
| ( h6(e13) = e21 )
| ( h6(e14) = e21 ) )
& ( ( h6(e10) = e22 )
| ( h6(e11) = e22 )
| ( h6(e12) = e22 )
| ( h6(e13) = e22 )
| ( h6(e14) = e22 ) )
& ( ( h6(e10) = e23 )
| ( h6(e11) = e23 )
| ( h6(e12) = e23 )
| ( h6(e13) = e23 )
| ( h6(e14) = e23 ) )
& ( ( h6(e10) = e24 )
| ( h6(e11) = e24 )
| ( h6(e12) = e24 )
| ( h6(e13) = e24 )
| ( h6(e14) = e24 ) ) )
| ( ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
& ( h7(op1(e10,e11)) = op2(h7(e10),h7(e11)) )
& ( h7(op1(e10,e12)) = op2(h7(e10),h7(e12)) )
& ( h7(op1(e10,e13)) = op2(h7(e10),h7(e13)) )
& ( h7(op1(e10,e14)) = op2(h7(e10),h7(e14)) )
& ( h7(op1(e11,e10)) = op2(h7(e11),h7(e10)) )
& ( h7(op1(e11,e11)) = op2(h7(e11),h7(e11)) )
& ( h7(op1(e11,e12)) = op2(h7(e11),h7(e12)) )
& ( h7(op1(e11,e13)) = op2(h7(e11),h7(e13)) )
& ( h7(op1(e11,e14)) = op2(h7(e11),h7(e14)) )
& ( h7(op1(e12,e10)) = op2(h7(e12),h7(e10)) )
& ( h7(op1(e12,e11)) = op2(h7(e12),h7(e11)) )
& ( h7(op1(e12,e12)) = op2(h7(e12),h7(e12)) )
& ( h7(op1(e12,e13)) = op2(h7(e12),h7(e13)) )
& ( h7(op1(e12,e14)) = op2(h7(e12),h7(e14)) )
& ( h7(op1(e13,e10)) = op2(h7(e13),h7(e10)) )
& ( h7(op1(e13,e11)) = op2(h7(e13),h7(e11)) )
& ( h7(op1(e13,e12)) = op2(h7(e13),h7(e12)) )
& ( h7(op1(e13,e13)) = op2(h7(e13),h7(e13)) )
& ( h7(op1(e13,e14)) = op2(h7(e13),h7(e14)) )
& ( h7(op1(e14,e10)) = op2(h7(e14),h7(e10)) )
& ( h7(op1(e14,e11)) = op2(h7(e14),h7(e11)) )
& ( h7(op1(e14,e12)) = op2(h7(e14),h7(e12)) )
& ( h7(op1(e14,e13)) = op2(h7(e14),h7(e13)) )
& ( h7(op1(e14,e14)) = op2(h7(e14),h7(e14)) )
& ( ( h7(e10) = e20 )
| ( h7(e11) = e20 )
| ( h7(e12) = e20 )
| ( h7(e13) = e20 )
| ( h7(e14) = e20 ) )
& ( ( h7(e10) = e21 )
| ( h7(e11) = e21 )
| ( h7(e12) = e21 )
| ( h7(e13) = e21 )
| ( h7(e14) = e21 ) )
& ( ( h7(e10) = e22 )
| ( h7(e11) = e22 )
| ( h7(e12) = e22 )
| ( h7(e13) = e22 )
| ( h7(e14) = e22 ) )
& ( ( h7(e10) = e23 )
| ( h7(e11) = e23 )
| ( h7(e12) = e23 )
| ( h7(e13) = e23 )
| ( h7(e14) = e23 ) )
& ( ( h7(e10) = e24 )
| ( h7(e11) = e24 )
| ( h7(e12) = e24 )
| ( h7(e13) = e24 )
| ( h7(e14) = e24 ) ) )
| ( ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
& ( h8(op1(e10,e11)) = op2(h8(e10),h8(e11)) )
& ( h8(op1(e10,e12)) = op2(h8(e10),h8(e12)) )
& ( h8(op1(e10,e13)) = op2(h8(e10),h8(e13)) )
& ( h8(op1(e10,e14)) = op2(h8(e10),h8(e14)) )
& ( h8(op1(e11,e10)) = op2(h8(e11),h8(e10)) )
& ( h8(op1(e11,e11)) = op2(h8(e11),h8(e11)) )
& ( h8(op1(e11,e12)) = op2(h8(e11),h8(e12)) )
& ( h8(op1(e11,e13)) = op2(h8(e11),h8(e13)) )
& ( h8(op1(e11,e14)) = op2(h8(e11),h8(e14)) )
& ( h8(op1(e12,e10)) = op2(h8(e12),h8(e10)) )
& ( h8(op1(e12,e11)) = op2(h8(e12),h8(e11)) )
& ( h8(op1(e12,e12)) = op2(h8(e12),h8(e12)) )
& ( h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) )
& ( h8(op1(e12,e14)) = op2(h8(e12),h8(e14)) )
& ( h8(op1(e13,e10)) = op2(h8(e13),h8(e10)) )
& ( h8(op1(e13,e11)) = op2(h8(e13),h8(e11)) )
& ( h8(op1(e13,e12)) = op2(h8(e13),h8(e12)) )
& ( h8(op1(e13,e13)) = op2(h8(e13),h8(e13)) )
& ( h8(op1(e13,e14)) = op2(h8(e13),h8(e14)) )
& ( h8(op1(e14,e10)) = op2(h8(e14),h8(e10)) )
& ( h8(op1(e14,e11)) = op2(h8(e14),h8(e11)) )
& ( h8(op1(e14,e12)) = op2(h8(e14),h8(e12)) )
& ( h8(op1(e14,e13)) = op2(h8(e14),h8(e13)) )
& ( h8(op1(e14,e14)) = op2(h8(e14),h8(e14)) )
& ( ( h8(e10) = e20 )
| ( h8(e11) = e20 )
| ( h8(e12) = e20 )
| ( h8(e13) = e20 )
| ( h8(e14) = e20 ) )
& ( ( h8(e10) = e21 )
| ( h8(e11) = e21 )
| ( h8(e12) = e21 )
| ( h8(e13) = e21 )
| ( h8(e14) = e21 ) )
& ( ( h8(e10) = e22 )
| ( h8(e11) = e22 )
| ( h8(e12) = e22 )
| ( h8(e13) = e22 )
| ( h8(e14) = e22 ) )
& ( ( h8(e10) = e23 )
| ( h8(e11) = e23 )
| ( h8(e12) = e23 )
| ( h8(e13) = e23 )
| ( h8(e14) = e23 ) )
& ( ( h8(e10) = e24 )
| ( h8(e11) = e24 )
| ( h8(e12) = e24 )
| ( h8(e13) = e24 )
| ( h8(e14) = e24 ) ) )
| ( ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
& ( h9(op1(e10,e11)) = op2(h9(e10),h9(e11)) )
& ( h9(op1(e10,e12)) = op2(h9(e10),h9(e12)) )
& ( h9(op1(e10,e13)) = op2(h9(e10),h9(e13)) )
& ( h9(op1(e10,e14)) = op2(h9(e10),h9(e14)) )
& ( h9(op1(e11,e10)) = op2(h9(e11),h9(e10)) )
& ( h9(op1(e11,e11)) = op2(h9(e11),h9(e11)) )
& ( h9(op1(e11,e12)) = op2(h9(e11),h9(e12)) )
& ( h9(op1(e11,e13)) = op2(h9(e11),h9(e13)) )
& ( h9(op1(e11,e14)) = op2(h9(e11),h9(e14)) )
& ( h9(op1(e12,e10)) = op2(h9(e12),h9(e10)) )
& ( h9(op1(e12,e11)) = op2(h9(e12),h9(e11)) )
& ( h9(op1(e12,e12)) = op2(h9(e12),h9(e12)) )
& ( h9(op1(e12,e13)) = op2(h9(e12),h9(e13)) )
& ( h9(op1(e12,e14)) = op2(h9(e12),h9(e14)) )
& ( h9(op1(e13,e10)) = op2(h9(e13),h9(e10)) )
& ( h9(op1(e13,e11)) = op2(h9(e13),h9(e11)) )
& ( h9(op1(e13,e12)) = op2(h9(e13),h9(e12)) )
& ( h9(op1(e13,e13)) = op2(h9(e13),h9(e13)) )
& ( h9(op1(e13,e14)) = op2(h9(e13),h9(e14)) )
& ( h9(op1(e14,e10)) = op2(h9(e14),h9(e10)) )
& ( h9(op1(e14,e11)) = op2(h9(e14),h9(e11)) )
& ( h9(op1(e14,e12)) = op2(h9(e14),h9(e12)) )
& ( h9(op1(e14,e13)) = op2(h9(e14),h9(e13)) )
& ( h9(op1(e14,e14)) = op2(h9(e14),h9(e14)) )
& ( ( h9(e10) = e20 )
| ( h9(e11) = e20 )
| ( h9(e12) = e20 )
| ( h9(e13) = e20 )
| ( h9(e14) = e20 ) )
& ( ( h9(e10) = e21 )
| ( h9(e11) = e21 )
| ( h9(e12) = e21 )
| ( h9(e13) = e21 )
| ( h9(e14) = e21 ) )
& ( ( h9(e10) = e22 )
| ( h9(e11) = e22 )
| ( h9(e12) = e22 )
| ( h9(e13) = e22 )
| ( h9(e14) = e22 ) )
& ( ( h9(e10) = e23 )
| ( h9(e11) = e23 )
| ( h9(e12) = e23 )
| ( h9(e13) = e23 )
| ( h9(e14) = e23 ) )
& ( ( h9(e10) = e24 )
| ( h9(e11) = e24 )
| ( h9(e12) = e24 )
| ( h9(e13) = e24 )
| ( h9(e14) = e24 ) ) )
| ( ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
& ( h10(op1(e10,e11)) = op2(h10(e10),h10(e11)) )
& ( h10(op1(e10,e12)) = op2(h10(e10),h10(e12)) )
& ( h10(op1(e10,e13)) = op2(h10(e10),h10(e13)) )
& ( h10(op1(e10,e14)) = op2(h10(e10),h10(e14)) )
& ( h10(op1(e11,e10)) = op2(h10(e11),h10(e10)) )
& ( h10(op1(e11,e11)) = op2(h10(e11),h10(e11)) )
& ( h10(op1(e11,e12)) = op2(h10(e11),h10(e12)) )
& ( h10(op1(e11,e13)) = op2(h10(e11),h10(e13)) )
& ( h10(op1(e11,e14)) = op2(h10(e11),h10(e14)) )
& ( h10(op1(e12,e10)) = op2(h10(e12),h10(e10)) )
& ( h10(op1(e12,e11)) = op2(h10(e12),h10(e11)) )
& ( h10(op1(e12,e12)) = op2(h10(e12),h10(e12)) )
& ( h10(op1(e12,e13)) = op2(h10(e12),h10(e13)) )
& ( h10(op1(e12,e14)) = op2(h10(e12),h10(e14)) )
& ( h10(op1(e13,e10)) = op2(h10(e13),h10(e10)) )
& ( h10(op1(e13,e11)) = op2(h10(e13),h10(e11)) )
& ( h10(op1(e13,e12)) = op2(h10(e13),h10(e12)) )
& ( h10(op1(e13,e13)) = op2(h10(e13),h10(e13)) )
& ( h10(op1(e13,e14)) = op2(h10(e13),h10(e14)) )
& ( h10(op1(e14,e10)) = op2(h10(e14),h10(e10)) )
& ( h10(op1(e14,e11)) = op2(h10(e14),h10(e11)) )
& ( h10(op1(e14,e12)) = op2(h10(e14),h10(e12)) )
& ( h10(op1(e14,e13)) = op2(h10(e14),h10(e13)) )
& ( h10(op1(e14,e14)) = op2(h10(e14),h10(e14)) )
& ( ( h10(e10) = e20 )
| ( h10(e11) = e20 )
| ( h10(e12) = e20 )
| ( h10(e13) = e20 )
| ( h10(e14) = e20 ) )
& ( ( h10(e10) = e21 )
| ( h10(e11) = e21 )
| ( h10(e12) = e21 )
| ( h10(e13) = e21 )
| ( h10(e14) = e21 ) )
& ( ( h10(e10) = e22 )
| ( h10(e11) = e22 )
| ( h10(e12) = e22 )
| ( h10(e13) = e22 )
| ( h10(e14) = e22 ) )
& ( ( h10(e10) = e23 )
| ( h10(e11) = e23 )
| ( h10(e12) = e23 )
| ( h10(e13) = e23 )
| ( h10(e14) = e23 ) )
& ( ( h10(e10) = e24 )
| ( h10(e11) = e24 )
| ( h10(e12) = e24 )
| ( h10(e13) = e24 )
| ( h10(e14) = e24 ) ) )
| ( ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
& ( h11(op1(e10,e11)) = op2(h11(e10),h11(e11)) )
& ( h11(op1(e10,e12)) = op2(h11(e10),h11(e12)) )
& ( h11(op1(e10,e13)) = op2(h11(e10),h11(e13)) )
& ( h11(op1(e10,e14)) = op2(h11(e10),h11(e14)) )
& ( h11(op1(e11,e10)) = op2(h11(e11),h11(e10)) )
& ( h11(op1(e11,e11)) = op2(h11(e11),h11(e11)) )
& ( h11(op1(e11,e12)) = op2(h11(e11),h11(e12)) )
& ( h11(op1(e11,e13)) = op2(h11(e11),h11(e13)) )
& ( h11(op1(e11,e14)) = op2(h11(e11),h11(e14)) )
& ( h11(op1(e12,e10)) = op2(h11(e12),h11(e10)) )
& ( h11(op1(e12,e11)) = op2(h11(e12),h11(e11)) )
& ( h11(op1(e12,e12)) = op2(h11(e12),h11(e12)) )
& ( h11(op1(e12,e13)) = op2(h11(e12),h11(e13)) )
& ( h11(op1(e12,e14)) = op2(h11(e12),h11(e14)) )
& ( h11(op1(e13,e10)) = op2(h11(e13),h11(e10)) )
& ( h11(op1(e13,e11)) = op2(h11(e13),h11(e11)) )
& ( h11(op1(e13,e12)) = op2(h11(e13),h11(e12)) )
& ( h11(op1(e13,e13)) = op2(h11(e13),h11(e13)) )
& ( h11(op1(e13,e14)) = op2(h11(e13),h11(e14)) )
& ( h11(op1(e14,e10)) = op2(h11(e14),h11(e10)) )
& ( h11(op1(e14,e11)) = op2(h11(e14),h11(e11)) )
& ( h11(op1(e14,e12)) = op2(h11(e14),h11(e12)) )
& ( h11(op1(e14,e13)) = op2(h11(e14),h11(e13)) )
& ( h11(op1(e14,e14)) = op2(h11(e14),h11(e14)) )
& ( ( h11(e10) = e20 )
| ( h11(e11) = e20 )
| ( h11(e12) = e20 )
| ( h11(e13) = e20 )
| ( h11(e14) = e20 ) )
& ( ( h11(e10) = e21 )
| ( h11(e11) = e21 )
| ( h11(e12) = e21 )
| ( h11(e13) = e21 )
| ( h11(e14) = e21 ) )
& ( ( h11(e10) = e22 )
| ( h11(e11) = e22 )
| ( h11(e12) = e22 )
| ( h11(e13) = e22 )
| ( h11(e14) = e22 ) )
& ( ( h11(e10) = e23 )
| ( h11(e11) = e23 )
| ( h11(e12) = e23 )
| ( h11(e13) = e23 )
| ( h11(e14) = e23 ) )
& ( ( h11(e10) = e24 )
| ( h11(e11) = e24 )
| ( h11(e12) = e24 )
| ( h11(e13) = e24 )
| ( h11(e14) = e24 ) ) )
| ( ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
& ( h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) )
& ( h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) )
& ( h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) )
& ( h12(op1(e10,e14)) = op2(h12(e10),h12(e14)) )
& ( h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
& ( h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) )
& ( h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) )
& ( h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) )
& ( h12(op1(e11,e14)) = op2(h12(e11),h12(e14)) )
& ( h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) )
& ( h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) )
& ( h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) )
& ( h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) )
& ( h12(op1(e12,e14)) = op2(h12(e12),h12(e14)) )
& ( h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) )
& ( h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) )
& ( h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) )
& ( h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) )
& ( h12(op1(e13,e14)) = op2(h12(e13),h12(e14)) )
& ( h12(op1(e14,e10)) = op2(h12(e14),h12(e10)) )
& ( h12(op1(e14,e11)) = op2(h12(e14),h12(e11)) )
& ( h12(op1(e14,e12)) = op2(h12(e14),h12(e12)) )
& ( h12(op1(e14,e13)) = op2(h12(e14),h12(e13)) )
& ( h12(op1(e14,e14)) = op2(h12(e14),h12(e14)) )
& ( ( h12(e10) = e20 )
| ( h12(e11) = e20 )
| ( h12(e12) = e20 )
| ( h12(e13) = e20 )
| ( h12(e14) = e20 ) )
& ( ( h12(e10) = e21 )
| ( h12(e11) = e21 )
| ( h12(e12) = e21 )
| ( h12(e13) = e21 )
| ( h12(e14) = e21 ) )
& ( ( h12(e10) = e22 )
| ( h12(e11) = e22 )
| ( h12(e12) = e22 )
| ( h12(e13) = e22 )
| ( h12(e14) = e22 ) )
& ( ( h12(e10) = e23 )
| ( h12(e11) = e23 )
| ( h12(e12) = e23 )
| ( h12(e13) = e23 )
| ( h12(e14) = e23 ) )
& ( ( h12(e10) = e24 )
| ( h12(e11) = e24 )
| ( h12(e12) = e24 )
| ( h12(e13) = e24 )
| ( h12(e14) = e24 ) ) )
| ( ( h13(op1(e10,e10)) = op2(h13(e10),h13(e10)) )
& ( h13(op1(e10,e11)) = op2(h13(e10),h13(e11)) )
& ( h13(op1(e10,e12)) = op2(h13(e10),h13(e12)) )
& ( h13(op1(e10,e13)) = op2(h13(e10),h13(e13)) )
& ( h13(op1(e10,e14)) = op2(h13(e10),h13(e14)) )
& ( h13(op1(e11,e10)) = op2(h13(e11),h13(e10)) )
& ( h13(op1(e11,e11)) = op2(h13(e11),h13(e11)) )
& ( h13(op1(e11,e12)) = op2(h13(e11),h13(e12)) )
& ( h13(op1(e11,e13)) = op2(h13(e11),h13(e13)) )
& ( h13(op1(e11,e14)) = op2(h13(e11),h13(e14)) )
& ( h13(op1(e12,e10)) = op2(h13(e12),h13(e10)) )
& ( h13(op1(e12,e11)) = op2(h13(e12),h13(e11)) )
& ( h13(op1(e12,e12)) = op2(h13(e12),h13(e12)) )
& ( h13(op1(e12,e13)) = op2(h13(e12),h13(e13)) )
& ( h13(op1(e12,e14)) = op2(h13(e12),h13(e14)) )
& ( h13(op1(e13,e10)) = op2(h13(e13),h13(e10)) )
& ( h13(op1(e13,e11)) = op2(h13(e13),h13(e11)) )
& ( h13(op1(e13,e12)) = op2(h13(e13),h13(e12)) )
& ( h13(op1(e13,e13)) = op2(h13(e13),h13(e13)) )
& ( h13(op1(e13,e14)) = op2(h13(e13),h13(e14)) )
& ( h13(op1(e14,e10)) = op2(h13(e14),h13(e10)) )
& ( h13(op1(e14,e11)) = op2(h13(e14),h13(e11)) )
& ( h13(op1(e14,e12)) = op2(h13(e14),h13(e12)) )
& ( h13(op1(e14,e13)) = op2(h13(e14),h13(e13)) )
& ( h13(op1(e14,e14)) = op2(h13(e14),h13(e14)) )
& ( ( h13(e10) = e20 )
| ( h13(e11) = e20 )
| ( h13(e12) = e20 )
| ( h13(e13) = e20 )
| ( h13(e14) = e20 ) )
& ( ( h13(e10) = e21 )
| ( h13(e11) = e21 )
| ( h13(e12) = e21 )
| ( h13(e13) = e21 )
| ( h13(e14) = e21 ) )
& ( ( h13(e10) = e22 )
| ( h13(e11) = e22 )
| ( h13(e12) = e22 )
| ( h13(e13) = e22 )
| ( h13(e14) = e22 ) )
& ( ( h13(e10) = e23 )
| ( h13(e11) = e23 )
| ( h13(e12) = e23 )
| ( h13(e13) = e23 )
| ( h13(e14) = e23 ) )
& ( ( h13(e10) = e24 )
| ( h13(e11) = e24 )
| ( h13(e12) = e24 )
| ( h13(e13) = e24 )
| ( h13(e14) = e24 ) ) )
| ( ( h14(op1(e10,e10)) = op2(h14(e10),h14(e10)) )
& ( h14(op1(e10,e11)) = op2(h14(e10),h14(e11)) )
& ( h14(op1(e10,e12)) = op2(h14(e10),h14(e12)) )
& ( h14(op1(e10,e13)) = op2(h14(e10),h14(e13)) )
& ( h14(op1(e10,e14)) = op2(h14(e10),h14(e14)) )
& ( h14(op1(e11,e10)) = op2(h14(e11),h14(e10)) )
& ( h14(op1(e11,e11)) = op2(h14(e11),h14(e11)) )
& ( h14(op1(e11,e12)) = op2(h14(e11),h14(e12)) )
& ( h14(op1(e11,e13)) = op2(h14(e11),h14(e13)) )
& ( h14(op1(e11,e14)) = op2(h14(e11),h14(e14)) )
& ( h14(op1(e12,e10)) = op2(h14(e12),h14(e10)) )
& ( h14(op1(e12,e11)) = op2(h14(e12),h14(e11)) )
& ( h14(op1(e12,e12)) = op2(h14(e12),h14(e12)) )
& ( h14(op1(e12,e13)) = op2(h14(e12),h14(e13)) )
& ( h14(op1(e12,e14)) = op2(h14(e12),h14(e14)) )
& ( h14(op1(e13,e10)) = op2(h14(e13),h14(e10)) )
& ( h14(op1(e13,e11)) = op2(h14(e13),h14(e11)) )
& ( h14(op1(e13,e12)) = op2(h14(e13),h14(e12)) )
& ( h14(op1(e13,e13)) = op2(h14(e13),h14(e13)) )
& ( h14(op1(e13,e14)) = op2(h14(e13),h14(e14)) )
& ( h14(op1(e14,e10)) = op2(h14(e14),h14(e10)) )
& ( h14(op1(e14,e11)) = op2(h14(e14),h14(e11)) )
& ( h14(op1(e14,e12)) = op2(h14(e14),h14(e12)) )
& ( h14(op1(e14,e13)) = op2(h14(e14),h14(e13)) )
& ( h14(op1(e14,e14)) = op2(h14(e14),h14(e14)) )
& ( ( h14(e10) = e20 )
| ( h14(e11) = e20 )
| ( h14(e12) = e20 )
| ( h14(e13) = e20 )
| ( h14(e14) = e20 ) )
& ( ( h14(e10) = e21 )
| ( h14(e11) = e21 )
| ( h14(e12) = e21 )
| ( h14(e13) = e21 )
| ( h14(e14) = e21 ) )
& ( ( h14(e10) = e22 )
| ( h14(e11) = e22 )
| ( h14(e12) = e22 )
| ( h14(e13) = e22 )
| ( h14(e14) = e22 ) )
& ( ( h14(e10) = e23 )
| ( h14(e11) = e23 )
| ( h14(e12) = e23 )
| ( h14(e13) = e23 )
| ( h14(e14) = e23 ) )
& ( ( h14(e10) = e24 )
| ( h14(e11) = e24 )
| ( h14(e12) = e24 )
| ( h14(e13) = e24 )
| ( h14(e14) = e24 ) ) )
| ( ( h15(op1(e10,e10)) = op2(h15(e10),h15(e10)) )
& ( h15(op1(e10,e11)) = op2(h15(e10),h15(e11)) )
& ( h15(op1(e10,e12)) = op2(h15(e10),h15(e12)) )
& ( h15(op1(e10,e13)) = op2(h15(e10),h15(e13)) )
& ( h15(op1(e10,e14)) = op2(h15(e10),h15(e14)) )
& ( h15(op1(e11,e10)) = op2(h15(e11),h15(e10)) )
& ( h15(op1(e11,e11)) = op2(h15(e11),h15(e11)) )
& ( h15(op1(e11,e12)) = op2(h15(e11),h15(e12)) )
& ( h15(op1(e11,e13)) = op2(h15(e11),h15(e13)) )
& ( h15(op1(e11,e14)) = op2(h15(e11),h15(e14)) )
& ( h15(op1(e12,e10)) = op2(h15(e12),h15(e10)) )
& ( h15(op1(e12,e11)) = op2(h15(e12),h15(e11)) )
& ( h15(op1(e12,e12)) = op2(h15(e12),h15(e12)) )
& ( h15(op1(e12,e13)) = op2(h15(e12),h15(e13)) )
& ( h15(op1(e12,e14)) = op2(h15(e12),h15(e14)) )
& ( h15(op1(e13,e10)) = op2(h15(e13),h15(e10)) )
& ( h15(op1(e13,e11)) = op2(h15(e13),h15(e11)) )
& ( h15(op1(e13,e12)) = op2(h15(e13),h15(e12)) )
& ( h15(op1(e13,e13)) = op2(h15(e13),h15(e13)) )
& ( h15(op1(e13,e14)) = op2(h15(e13),h15(e14)) )
& ( h15(op1(e14,e10)) = op2(h15(e14),h15(e10)) )
& ( h15(op1(e14,e11)) = op2(h15(e14),h15(e11)) )
& ( h15(op1(e14,e12)) = op2(h15(e14),h15(e12)) )
& ( h15(op1(e14,e13)) = op2(h15(e14),h15(e13)) )
& ( h15(op1(e14,e14)) = op2(h15(e14),h15(e14)) )
& ( ( h15(e10) = e20 )
| ( h15(e11) = e20 )
| ( h15(e12) = e20 )
| ( h15(e13) = e20 )
| ( h15(e14) = e20 ) )
& ( ( h15(e10) = e21 )
| ( h15(e11) = e21 )
| ( h15(e12) = e21 )
| ( h15(e13) = e21 )
| ( h15(e14) = e21 ) )
& ( ( h15(e10) = e22 )
| ( h15(e11) = e22 )
| ( h15(e12) = e22 )
| ( h15(e13) = e22 )
| ( h15(e14) = e22 ) )
& ( ( h15(e10) = e23 )
| ( h15(e11) = e23 )
| ( h15(e12) = e23 )
| ( h15(e13) = e23 )
| ( h15(e14) = e23 ) )
& ( ( h15(e10) = e24 )
| ( h15(e11) = e24 )
| ( h15(e12) = e24 )
| ( h15(e13) = e24 )
| ( h15(e14) = e24 ) ) )
| ( ( h16(op1(e10,e10)) = op2(h16(e10),h16(e10)) )
& ( h16(op1(e10,e11)) = op2(h16(e10),h16(e11)) )
& ( h16(op1(e10,e12)) = op2(h16(e10),h16(e12)) )
& ( h16(op1(e10,e13)) = op2(h16(e10),h16(e13)) )
& ( h16(op1(e10,e14)) = op2(h16(e10),h16(e14)) )
& ( h16(op1(e11,e10)) = op2(h16(e11),h16(e10)) )
& ( h16(op1(e11,e11)) = op2(h16(e11),h16(e11)) )
& ( h16(op1(e11,e12)) = op2(h16(e11),h16(e12)) )
& ( h16(op1(e11,e13)) = op2(h16(e11),h16(e13)) )
& ( h16(op1(e11,e14)) = op2(h16(e11),h16(e14)) )
& ( h16(op1(e12,e10)) = op2(h16(e12),h16(e10)) )
& ( h16(op1(e12,e11)) = op2(h16(e12),h16(e11)) )
& ( h16(op1(e12,e12)) = op2(h16(e12),h16(e12)) )
& ( h16(op1(e12,e13)) = op2(h16(e12),h16(e13)) )
& ( h16(op1(e12,e14)) = op2(h16(e12),h16(e14)) )
& ( h16(op1(e13,e10)) = op2(h16(e13),h16(e10)) )
& ( h16(op1(e13,e11)) = op2(h16(e13),h16(e11)) )
& ( h16(op1(e13,e12)) = op2(h16(e13),h16(e12)) )
& ( h16(op1(e13,e13)) = op2(h16(e13),h16(e13)) )
& ( h16(op1(e13,e14)) = op2(h16(e13),h16(e14)) )
& ( h16(op1(e14,e10)) = op2(h16(e14),h16(e10)) )
& ( h16(op1(e14,e11)) = op2(h16(e14),h16(e11)) )
& ( h16(op1(e14,e12)) = op2(h16(e14),h16(e12)) )
& ( h16(op1(e14,e13)) = op2(h16(e14),h16(e13)) )
& ( h16(op1(e14,e14)) = op2(h16(e14),h16(e14)) )
& ( ( h16(e10) = e20 )
| ( h16(e11) = e20 )
| ( h16(e12) = e20 )
| ( h16(e13) = e20 )
| ( h16(e14) = e20 ) )
& ( ( h16(e10) = e21 )
| ( h16(e11) = e21 )
| ( h16(e12) = e21 )
| ( h16(e13) = e21 )
| ( h16(e14) = e21 ) )
& ( ( h16(e10) = e22 )
| ( h16(e11) = e22 )
| ( h16(e12) = e22 )
| ( h16(e13) = e22 )
| ( h16(e14) = e22 ) )
& ( ( h16(e10) = e23 )
| ( h16(e11) = e23 )
| ( h16(e12) = e23 )
| ( h16(e13) = e23 )
| ( h16(e14) = e23 ) )
& ( ( h16(e10) = e24 )
| ( h16(e11) = e24 )
| ( h16(e12) = e24 )
| ( h16(e13) = e24 )
| ( h16(e14) = e24 ) ) )
| ( ( h17(op1(e10,e10)) = op2(h17(e10),h17(e10)) )
& ( h17(op1(e10,e11)) = op2(h17(e10),h17(e11)) )
& ( h17(op1(e10,e12)) = op2(h17(e10),h17(e12)) )
& ( h17(op1(e10,e13)) = op2(h17(e10),h17(e13)) )
& ( h17(op1(e10,e14)) = op2(h17(e10),h17(e14)) )
& ( h17(op1(e11,e10)) = op2(h17(e11),h17(e10)) )
& ( h17(op1(e11,e11)) = op2(h17(e11),h17(e11)) )
& ( h17(op1(e11,e12)) = op2(h17(e11),h17(e12)) )
& ( h17(op1(e11,e13)) = op2(h17(e11),h17(e13)) )
& ( h17(op1(e11,e14)) = op2(h17(e11),h17(e14)) )
& ( h17(op1(e12,e10)) = op2(h17(e12),h17(e10)) )
& ( h17(op1(e12,e11)) = op2(h17(e12),h17(e11)) )
& ( h17(op1(e12,e12)) = op2(h17(e12),h17(e12)) )
& ( h17(op1(e12,e13)) = op2(h17(e12),h17(e13)) )
& ( h17(op1(e12,e14)) = op2(h17(e12),h17(e14)) )
& ( h17(op1(e13,e10)) = op2(h17(e13),h17(e10)) )
& ( h17(op1(e13,e11)) = op2(h17(e13),h17(e11)) )
& ( h17(op1(e13,e12)) = op2(h17(e13),h17(e12)) )
& ( h17(op1(e13,e13)) = op2(h17(e13),h17(e13)) )
& ( h17(op1(e13,e14)) = op2(h17(e13),h17(e14)) )
& ( h17(op1(e14,e10)) = op2(h17(e14),h17(e10)) )
& ( h17(op1(e14,e11)) = op2(h17(e14),h17(e11)) )
& ( h17(op1(e14,e12)) = op2(h17(e14),h17(e12)) )
& ( h17(op1(e14,e13)) = op2(h17(e14),h17(e13)) )
& ( h17(op1(e14,e14)) = op2(h17(e14),h17(e14)) )
& ( ( h17(e10) = e20 )
| ( h17(e11) = e20 )
| ( h17(e12) = e20 )
| ( h17(e13) = e20 )
| ( h17(e14) = e20 ) )
& ( ( h17(e10) = e21 )
| ( h17(e11) = e21 )
| ( h17(e12) = e21 )
| ( h17(e13) = e21 )
| ( h17(e14) = e21 ) )
& ( ( h17(e10) = e22 )
| ( h17(e11) = e22 )
| ( h17(e12) = e22 )
| ( h17(e13) = e22 )
| ( h17(e14) = e22 ) )
& ( ( h17(e10) = e23 )
| ( h17(e11) = e23 )
| ( h17(e12) = e23 )
| ( h17(e13) = e23 )
| ( h17(e14) = e23 ) )
& ( ( h17(e10) = e24 )
| ( h17(e11) = e24 )
| ( h17(e12) = e24 )
| ( h17(e13) = e24 )
| ( h17(e14) = e24 ) ) )
| ( ( h18(op1(e10,e10)) = op2(h18(e10),h18(e10)) )
& ( h18(op1(e10,e11)) = op2(h18(e10),h18(e11)) )
& ( h18(op1(e10,e12)) = op2(h18(e10),h18(e12)) )
& ( h18(op1(e10,e13)) = op2(h18(e10),h18(e13)) )
& ( h18(op1(e10,e14)) = op2(h18(e10),h18(e14)) )
& ( h18(op1(e11,e10)) = op2(h18(e11),h18(e10)) )
& ( h18(op1(e11,e11)) = op2(h18(e11),h18(e11)) )
& ( h18(op1(e11,e12)) = op2(h18(e11),h18(e12)) )
& ( h18(op1(e11,e13)) = op2(h18(e11),h18(e13)) )
& ( h18(op1(e11,e14)) = op2(h18(e11),h18(e14)) )
& ( h18(op1(e12,e10)) = op2(h18(e12),h18(e10)) )
& ( h18(op1(e12,e11)) = op2(h18(e12),h18(e11)) )
& ( h18(op1(e12,e12)) = op2(h18(e12),h18(e12)) )
& ( h18(op1(e12,e13)) = op2(h18(e12),h18(e13)) )
& ( h18(op1(e12,e14)) = op2(h18(e12),h18(e14)) )
& ( h18(op1(e13,e10)) = op2(h18(e13),h18(e10)) )
& ( h18(op1(e13,e11)) = op2(h18(e13),h18(e11)) )
& ( h18(op1(e13,e12)) = op2(h18(e13),h18(e12)) )
& ( h18(op1(e13,e13)) = op2(h18(e13),h18(e13)) )
& ( h18(op1(e13,e14)) = op2(h18(e13),h18(e14)) )
& ( h18(op1(e14,e10)) = op2(h18(e14),h18(e10)) )
& ( h18(op1(e14,e11)) = op2(h18(e14),h18(e11)) )
& ( h18(op1(e14,e12)) = op2(h18(e14),h18(e12)) )
& ( h18(op1(e14,e13)) = op2(h18(e14),h18(e13)) )
& ( h18(op1(e14,e14)) = op2(h18(e14),h18(e14)) )
& ( ( h18(e10) = e20 )
| ( h18(e11) = e20 )
| ( h18(e12) = e20 )
| ( h18(e13) = e20 )
| ( h18(e14) = e20 ) )
& ( ( h18(e10) = e21 )
| ( h18(e11) = e21 )
| ( h18(e12) = e21 )
| ( h18(e13) = e21 )
| ( h18(e14) = e21 ) )
& ( ( h18(e10) = e22 )
| ( h18(e11) = e22 )
| ( h18(e12) = e22 )
| ( h18(e13) = e22 )
| ( h18(e14) = e22 ) )
& ( ( h18(e10) = e23 )
| ( h18(e11) = e23 )
| ( h18(e12) = e23 )
| ( h18(e13) = e23 )
| ( h18(e14) = e23 ) )
& ( ( h18(e10) = e24 )
| ( h18(e11) = e24 )
| ( h18(e12) = e24 )
| ( h18(e13) = e24 )
| ( h18(e14) = e24 ) ) )
| ( ( h19(op1(e10,e10)) = op2(h19(e10),h19(e10)) )
& ( h19(op1(e10,e11)) = op2(h19(e10),h19(e11)) )
& ( h19(op1(e10,e12)) = op2(h19(e10),h19(e12)) )
& ( h19(op1(e10,e13)) = op2(h19(e10),h19(e13)) )
& ( h19(op1(e10,e14)) = op2(h19(e10),h19(e14)) )
& ( h19(op1(e11,e10)) = op2(h19(e11),h19(e10)) )
& ( h19(op1(e11,e11)) = op2(h19(e11),h19(e11)) )
& ( h19(op1(e11,e12)) = op2(h19(e11),h19(e12)) )
& ( h19(op1(e11,e13)) = op2(h19(e11),h19(e13)) )
& ( h19(op1(e11,e14)) = op2(h19(e11),h19(e14)) )
& ( h19(op1(e12,e10)) = op2(h19(e12),h19(e10)) )
& ( h19(op1(e12,e11)) = op2(h19(e12),h19(e11)) )
& ( h19(op1(e12,e12)) = op2(h19(e12),h19(e12)) )
& ( h19(op1(e12,e13)) = op2(h19(e12),h19(e13)) )
& ( h19(op1(e12,e14)) = op2(h19(e12),h19(e14)) )
& ( h19(op1(e13,e10)) = op2(h19(e13),h19(e10)) )
& ( h19(op1(e13,e11)) = op2(h19(e13),h19(e11)) )
& ( h19(op1(e13,e12)) = op2(h19(e13),h19(e12)) )
& ( h19(op1(e13,e13)) = op2(h19(e13),h19(e13)) )
& ( h19(op1(e13,e14)) = op2(h19(e13),h19(e14)) )
& ( h19(op1(e14,e10)) = op2(h19(e14),h19(e10)) )
& ( h19(op1(e14,e11)) = op2(h19(e14),h19(e11)) )
& ( h19(op1(e14,e12)) = op2(h19(e14),h19(e12)) )
& ( h19(op1(e14,e13)) = op2(h19(e14),h19(e13)) )
& ( h19(op1(e14,e14)) = op2(h19(e14),h19(e14)) )
& ( ( h19(e10) = e20 )
| ( h19(e11) = e20 )
| ( h19(e12) = e20 )
| ( h19(e13) = e20 )
| ( h19(e14) = e20 ) )
& ( ( h19(e10) = e21 )
| ( h19(e11) = e21 )
| ( h19(e12) = e21 )
| ( h19(e13) = e21 )
| ( h19(e14) = e21 ) )
& ( ( h19(e10) = e22 )
| ( h19(e11) = e22 )
| ( h19(e12) = e22 )
| ( h19(e13) = e22 )
| ( h19(e14) = e22 ) )
& ( ( h19(e10) = e23 )
| ( h19(e11) = e23 )
| ( h19(e12) = e23 )
| ( h19(e13) = e23 )
| ( h19(e14) = e23 ) )
& ( ( h19(e10) = e24 )
| ( h19(e11) = e24 )
| ( h19(e12) = e24 )
| ( h19(e13) = e24 )
| ( h19(e14) = e24 ) ) )
| ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e13) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e10) = e24 )
| ( h20(e11) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(386,plain,
~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e13) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e10) = e24 )
| ( h20(e11) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ),
inference(or_elim,[status(thm)],[385]) ).
tff(387,plain,
~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ),
inference(modus_ponens,[status(thm)],[386,384]) ).
tff(388,plain,
~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) )
& ( ( h20(e13) = e23 )
| ( h20(e10) = e23 )
| ( h20(e11) = e23 )
| ( h20(e12) = e23 )
| ( h20(e14) = e23 ) )
& ( ( h20(e11) = e24 )
| ( h20(e10) = e24 )
| ( h20(e12) = e24 )
| ( h20(e13) = e24 )
| ( h20(e14) = e24 ) ) ),
inference(modus_ponens,[status(thm)],[387,383]) ).
tff(389,plain,
~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) ),
inference(modus_ponens,[status(thm)],[388,381]) ).
tff(390,plain,
~ ( ( h20(op1(e10,e10)) = op2(h20(e10),h20(e10)) )
& ( h20(op1(e10,e11)) = op2(h20(e10),h20(e11)) )
& ( h20(op1(e10,e12)) = op2(h20(e10),h20(e12)) )
& ( h20(op1(e10,e13)) = op2(h20(e10),h20(e13)) )
& ( h20(op1(e10,e14)) = op2(h20(e10),h20(e14)) )
& ( h20(op1(e11,e10)) = op2(h20(e11),h20(e10)) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,e12)) = op2(h20(e11),h20(e12)) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,e14)) = op2(h20(e11),h20(e14)) )
& ( h20(op1(e12,e10)) = op2(h20(e12),h20(e10)) )
& ( h20(op1(e12,e11)) = op2(h20(e12),h20(e11)) )
& ( h20(op1(e12,e12)) = op2(h20(e12),h20(e12)) )
& ( h20(op1(e12,e13)) = op2(h20(e12),h20(e13)) )
& ( h20(op1(e12,e14)) = op2(h20(e12),h20(e14)) )
& ( h20(op1(e13,e10)) = op2(h20(e13),h20(e10)) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,e12)) = op2(h20(e13),h20(e12)) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,e14)) = op2(h20(e13),h20(e14)) )
& ( h20(op1(e14,e10)) = op2(h20(e14),h20(e10)) )
& ( h20(op1(e14,e11)) = op2(h20(e14),h20(e11)) )
& ( h20(op1(e14,e12)) = op2(h20(e14),h20(e12)) )
& ( h20(op1(e14,e13)) = op2(h20(e14),h20(e13)) )
& ( h20(op1(e14,e14)) = op2(h20(e14),h20(e14)) )
& ( ( h20(e10) = e20 )
| ( h20(e11) = e20 )
| ( h20(e12) = e20 )
| ( h20(e13) = e20 )
| ( h20(e14) = e20 ) )
& ( ( h20(e10) = e21 )
| ( h20(e11) = e21 )
| ( h20(e12) = e21 )
| ( h20(e13) = e21 )
| ( h20(e14) = e21 ) )
& ( ( h20(e10) = e22 )
| ( h20(e11) = e22 )
| ( h20(e12) = e22 )
| ( h20(e13) = e22 )
| ( h20(e14) = e22 ) ) ),
inference(modus_ponens,[status(thm)],[389,380]) ).
tff(391,plain,
~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) ),
inference(modus_ponens,[status(thm)],[390,379]) ).
tff(392,plain,
~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),e11)) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h20(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h20(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e13,e11))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h20(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h20(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h20(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h20(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h20(e13),h20(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e11,op1(e13,e11)))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h20(e11) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e13,e11)) = op2(h3(e13),h1(e13)) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h1(e13)) )
| ( h20(e13) = op2(h3(e13),h1(e13)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h3(e13),h1(e13)) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(e13) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e11) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(e11,op1(e13,e11))) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(e13) = op2(h1(e13),op2(h3(e13),h1(e13))) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h1(e13),op2(h3(e13),h1(e13))) ) ) ),
inference(modus_ponens,[status(thm)],[391,378]) ).
tff(393,plain,
~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) ),
inference(modus_ponens,[status(thm)],[392,376]) ).
tff(394,plain,
~ ( ( h20(op1(op1(e13,e11),op1(e13,e11))) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(e13) = op2(h20(op1(e13,e11)),h20(e11)) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(h20(op1(e13,e11)),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e13,e11),e13)) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(op1(op1(e13,e11),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e13,e11)),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(e11),h20(op1(e13,e11))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e11,op1(e11,op1(e13,e11)))) = op2(h20(e11),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h20(e11),h3(e13)) )
& ( h20(op1(e11,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(e11),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(e11) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e11)) = op2(h20(op1(e11,op1(e13,e11))),h20(e11)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(e11,op1(e13,e11)),e13)) = op2(h20(op1(e11,op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,op1(e13,e11))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h20(e11)) )
& ( h20(op1(e13,op1(e11,op1(e13,e11)))) = op2(h3(e13),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(e11)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(e11,op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))),h20(op1(op1(e13,e11),op1(e11,op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e11) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,op1(e13,e11))) = h1(e13) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(e13) ) )
& ( ( h3(e13) = h1(op1(e13,e11)) )
| ( h20(op1(e13,e11)) = h1(op1(e13,e11)) )
| ( h20(e11) = h1(op1(e13,e11)) )
| ( h20(op1(e11,op1(e13,e11))) = h1(op1(e13,e11)) )
| ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = h1(op1(e13,e11)) ) ) ),
inference(modus_ponens,[status(thm)],[393,375]) ).
tff(395,plain,
~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[394,373]) ).
tff(396,plain,
~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h20(e11) = op2(h20(op1(e13,e11)),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e11,e11)) = op2(h20(e11),h20(e11)) )
& ( h20(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(op1(e13,e11),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h20(e11) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e13,op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h3(e13),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h20(op1(e13,e11))) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e13)) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))),op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11))))) )
& ( ( h3(e13) = h1(e11) )
| ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( op2(h20(op1(e13,e11)),op2(h4(e13),h20(op1(e13,e11)))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[395,372]) ).
tff(397,plain,
~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[396,370]) ).
tff(398,plain,
~ ( ( h20(op1(e13,e11)) = op2(h20(op1(e13,e11)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e13,e11)),h3(e13)) )
& ( h4(e13) = op2(h20(op1(e13,e11)),h20(op1(e11,e13))) )
& ( h20(e11) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( h20(op1(e13,e11)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e13,e11))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h20(op1(e13,e11))),h4(e13)) )
& ( h20(op1(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11)))) = op2(op2(h4(e13),h20(op1(e13,e11))),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e11)) = op2(op2(h4(e13),h20(op1(e13,e11))),h3(e13)) )
& ( h20(e13) = op2(op2(h4(e13),h20(op1(e13,e11))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),h20(op1(e13,e11))) )
& ( h20(op1(e13,e11)) = op2(h3(e13),h4(e13)) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),h20(op1(e13,e11))) )
& ( op2(h4(e13),h20(op1(e13,e11))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h20(op1(e13,e11)) = op2(h20(op1(e11,e13)),op2(h4(e13),h20(op1(e13,e11)))) )
& ( h20(e11) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h4(e13),h20(op1(e13,e11))) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[397,369]) ).
tff(399,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[398,367]) ).
tff(400,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( h20(op1(e11,op1(e13,e11))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e13,op1(e13,e11))) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(e13,e11))) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(e11) = h1(e11) )
| ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h3(e13) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h4(e13) = h2(e13) )
| ( h3(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[399,366]) ).
tff(401,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[400,364]) ).
tff(402,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h20(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(op1(op1(e13,e11),op1(e11,op1(e13,e11))),op1(op1(e13,e11),op1(e11,op1(e13,e11))))) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h4(e13) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[401,363]) ).
tff(403,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[402,361]) ).
tff(404,plain,
~ ( ( op2(h3(e13),h4(e13)) = op2(op2(h3(e13),h4(e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h3(e13),h4(e13)),h3(e13)) )
& ( h4(e13) = op2(op2(h3(e13),h4(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h20(op1(e11,e13)) = op2(h4(e13),h3(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h3(e13),h4(e13))) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h4(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( op2(h3(e13),h4(e13)) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),op2(h3(e13),h4(e13))),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),op2(h3(e13),h4(e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),op2(h3(e13),h4(e13))) )
& ( op2(h4(e13),op2(h3(e13),h4(e13))) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( op2(h3(e13),h4(e13)) = op2(h20(op1(e11,e13)),op2(h4(e13),op2(h3(e13),h4(e13)))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( op2(h4(e13),op2(h3(e13),h4(e13))) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[403,360]) ).
tff(405,plain,
~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[404,358]) ).
tff(406,plain,
~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h2(e13),h3(e13)) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h14(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h14(op1(e11,e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(h14(op1(e11,e13)),h4(e13)) )
& ( h14(op1(e11,e13)) = op2(h14(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h2(e13) = op2(h14(op1(e11,e13)),h3(e13)) )
& ( h3(e13) = op2(h14(op1(e11,e13)),h20(op1(e11,e13))) )
& ( h20(op1(e11,e13)) = op2(h3(e13),h2(e13)) )
& ( h4(e13) = op2(h3(e13),h14(op1(e11,e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( h14(op1(e11,e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( h14(op1(e11,e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),h14(op1(e11,e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( h14(op1(e11,e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) )
| ( h14(op1(e11,e13)) = h1(e13) ) )
& ( ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) )
| ( h14(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[405,357]) ).
tff(407,plain,
~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[406,355]) ).
tff(408,plain,
~ ( ( h2(e13) = op2(h2(e13),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = h1(e11) )
& ( h4(e13) = op2(h2(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),op2(h4(e13),h2(e13))) )
& ( h20(op1(e11,e13)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),h20(op1(e11,e13))) )
& ( h4(e13) = op2(op2(h4(e13),h2(e13)),h2(e13)) )
& ( h20(op1(e11,e13)) = op2(op2(h4(e13),h2(e13)),h4(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(op2(h4(e13),h2(e13)),op2(h4(e13),h2(e13))) )
& ( h2(e13) = op2(op2(h4(e13),h2(e13)),h3(e13)) )
& ( h3(e13) = op2(op2(h4(e13),h2(e13)),h20(op1(e11,e13))) )
& ( h4(e13) = op2(h3(e13),op2(h4(e13),h2(e13))) )
& ( h3(e13) = op2(h3(e13),h3(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h3(e13),h20(op1(e11,e13))) )
& ( h3(e13) = op2(h20(op1(e11,e13)),h2(e13)) )
& ( op2(h4(e13),h2(e13)) = op2(h20(op1(e11,e13)),h4(e13)) )
& ( h2(e13) = op2(h20(op1(e11,e13)),op2(h4(e13),h2(e13))) )
& ( h4(e13) = op2(h20(op1(e11,e13)),h3(e13)) )
& ( h20(op1(e11,e13)) = op2(h20(op1(e11,e13)),h20(op1(e11,e13))) )
& ( ( h20(op1(e13,e11)) = h1(e11) )
| ( op2(h4(e13),h2(e13)) = h1(e11) )
| ( h20(op1(e11,e13)) = h1(e11) ) )
& ( ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h4(e13),h2(e13)) = h1(e13) )
| ( h20(op1(e11,e13)) = h1(e13) ) )
& ( ( op2(h4(e13),h2(e13)) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( h20(op1(e11,e13)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[407,354]) ).
tff(409,plain,
~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[408,352]) ).
tff(410,plain,
~ ( ( h4(e13) = op2(h2(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h3(e13) = op2(h4(e13),h1(e11)) )
& ( op2(h2(e13),h1(e11)) = h1(e13) )
& ( h2(e13) = op2(h4(e13),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h1(e11),h2(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(h1(e11),h4(e13)) )
& ( h1(e11) = op2(h1(e11),h1(e11)) )
& ( h2(e13) = op2(h1(e11),h3(e13)) )
& ( h3(e13) = op2(h1(e11),op2(h2(e13),h1(e11))) )
& ( h4(e13) = op2(h3(e13),h1(e11)) )
& ( h1(e11) = op2(h3(e13),op2(h2(e13),h1(e11))) )
& ( h3(e13) = op2(op2(h2(e13),h1(e11)),h2(e13)) )
& ( h1(e11) = op2(op2(h2(e13),h1(e11)),h4(e13)) )
& ( h2(e13) = op2(op2(h2(e13),h1(e11)),h1(e11)) )
& ( h4(e13) = op2(op2(h2(e13),h1(e11)),h3(e13)) )
& ( op2(h2(e13),h1(e11)) = op2(op2(h2(e13),h1(e11)),op2(h2(e13),h1(e11))) )
& ( ( h1(e11) = h1(e13) )
| ( h20(op1(e13,e11)) = h1(e13) )
| ( h20(e11) = h1(e13) )
| ( op2(h2(e13),h1(e11)) = h1(e13) ) )
& ( ( h1(e11) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) )
| ( op2(h2(e13),h1(e11)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[409,351]) ).
tff(411,plain,
~ ( ( h4(e13) = op2(h2(e13),h1(e13)) )
& ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h2(e13) = op2(h4(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e11),h1(e13)) )
& ( h1(e11) = op2(h3(e13),h1(e13)) )
& ( h3(e13) = op2(h1(e13),h2(e13)) )
& ( h1(e11) = op2(h1(e13),h4(e13)) )
& ( h2(e13) = op2(h1(e13),h1(e11)) )
& ( h4(e13) = op2(h1(e13),h3(e13)) )
& ( h1(e13) = op2(h1(e13),h1(e13)) )
& ( ( h1(e13) = h2(e13) )
| ( h20(op1(e13,e11)) = h2(e13) ) ) ),
inference(modus_ponens,[status(thm)],[410,349]) ).
tff(412,plain,
~ ( ( h4(e13) = op2(h20(e11),h20(e11)) )
& ( h20(op1(e13,e11)) = h2(e13) ) ),
inference(modus_ponens,[status(thm)],[411,348]) ).
tff(413,plain,
( ( h4(e13) != op2(h20(e11),h20(e11)) )
| ( h20(op1(e13,e11)) != h2(e13) ) ),
inference(modus_ponens,[status(thm)],[412,347]) ).
tff(414,plain,
h4(e13) != op2(h20(e11),h20(e11)),
inference(unit_resolution,[status(thm)],[413,343]) ).
tff(415,plain,
$false,
inference(unit_resolution,[status(thm)],[414,187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG169+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 13:55:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.53/0.67 % SZS status Theorem
% 0.53/0.67 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------