TSTP Solution File: ALG037+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG037+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uCahD5hxLq true
% Computer : n006.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 : Wed Aug 30 17:10:12 EDT 2023
% Result : Theorem 13.72s 2.56s
% Output : Refutation 13.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 66
% Syntax : Number of formulae : 481 ( 351 unt; 40 typ; 0 def)
% Number of atoms : 1967 (1906 equ; 0 cnn)
% Maximal formula atoms : 384 ( 4 avg)
% Number of connectives : 7314 ( 283 ~; 797 |; 721 &;5505 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 19 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(unit1_type,type,
unit1: $i ).
thf(e22_type,type,
e22: $i ).
thf(h9_type,type,
h9: $i > $i ).
thf(h7_type,type,
h7: $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h2_type,type,
h2: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e21_type,type,
e21: $i ).
thf(h10_type,type,
h10: $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(h8_type,type,
h8: $i > $i ).
thf(h11_type,type,
h11: $i > $i ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(h6_type,type,
h6: $i > $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(h12_type,type,
h12: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(unit2_type,type,
unit2: $i ).
thf(e23_type,type,
e23: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(h5_type,type,
h5: $i > $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(co1,conjecture,
( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl1468,plain,
( ( ( h5 @ e12 )
!= e23 )
| ( ( h5 @ e13 )
!= e22 )
| ( ( h5 @ e11 )
!= e21 )
| ( ( h5 @ e10 )
!= e20 )
| ( ( h5 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
| ( ( h5 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
| ( ( h5 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
| ( ( h5 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
| ( ( h5 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
| ( ( h5 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
| ( ( h5 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
| ( ( h5 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
| ( ( h5 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
| ( ( h5 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
| ( ( h5 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
| ( ( h5 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
| ( ( h5 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
| ( ( h5 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
| ( ( h5 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
| ( ( h5 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11815,plain,
( ( ( h5 @ e12 )
!= e23 )
| ( ( h5 @ e13 )
!= e22 )
| ( ( h5 @ e11 )
!= e21 )
| ( ( h5 @ e10 )
!= e20 )
| ( ( h5 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e22 @ e22 ) )
| ( ( h5 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e22 @ e23 ) )
| ( ( h5 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
| ( ( h5 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
| ( ( h5 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e23 @ e22 ) )
| ( ( h5 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e23 @ e23 ) )
| ( ( h5 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
| ( ( h5 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
| ( ( h5 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e22 ) )
| ( ( h5 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e23 ) )
| ( ( h5 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
| ( ( h5 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
| ( ( h5 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e22 ) )
| ( ( h5 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e23 ) )
| ( ( h5 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
| ( ( h5 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1468]) ).
thf(ax20,axiom,
( ( ( h5 @ e12 )
= ( op2 @ e22 @ e21 ) )
& ( ( h5 @ e10 )
= ( op2 @ e21 @ e21 ) )
& ( ( h5 @ e13 )
= e22 )
& ( ( h5 @ e11 )
= e21 ) ) ).
thf(zip_derived_cl292,plain,
( ( h5 @ e12 )
= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax6,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl91,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax13,axiom,
( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl256,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_7: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_5: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_4: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ) ).
thf(zip_derived_cl271,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl261,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(ax15,axiom,
( ( e22
= ( op2 @ e23 @ e21 ) )
& ( e20
= ( op2 @ e21 @ e21 ) ) ) ).
thf(zip_derived_cl275,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3429,plain,
( ( e20 = e21 )
| ~ zip_tseitin_5 ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl275]) ).
thf(ax10,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl221,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl3430,plain,
~ zip_tseitin_5,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3429,zip_derived_cl221]) ).
thf(zip_derived_cl3438,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl3430]) ).
thf(zip_derived_cl265,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl275_001,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3431,plain,
( ( e20 = e22 )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl275]) ).
thf(zip_derived_cl220,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl3432,plain,
~ zip_tseitin_6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3431,zip_derived_cl220]) ).
thf(zip_derived_cl3441,plain,
( zip_tseitin_7
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl3438,zip_derived_cl3432]) ).
thf(zip_derived_cl269,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl275_002,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3433,plain,
( ( e20 = e23 )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl275]) ).
thf(zip_derived_cl219,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl3434,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3433,zip_derived_cl219]) ).
thf(zip_derived_cl3442,plain,
zip_tseitin_4,
inference(clc,[status(thm)],[zip_derived_cl3441,zip_derived_cl3434]) ).
thf(zip_derived_cl3444,plain,
( ( op2 @ e22 @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl3442]) ).
thf(ax5,axiom,
( ( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) )
& ( ( op2 @ e23 @ unit2 )
= e23 )
& ( ( op2 @ unit2 @ e23 )
= e23 )
& ( ( op2 @ e22 @ unit2 )
= e22 )
& ( ( op2 @ unit2 @ e22 )
= e22 )
& ( ( op2 @ e21 @ unit2 )
= e21 )
& ( ( op2 @ unit2 @ e21 )
= e21 )
& ( ( op2 @ e20 @ unit2 )
= e20 )
& ( ( op2 @ unit2 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl73,plain,
( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl274,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3872,plain,
( ( e22
= ( op2 @ unit2 @ e21 ) )
| ( unit2 = e20 )
| ( unit2 = e21 )
| ( unit2 = e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl274]) ).
thf(zip_derived_cl79,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3900,plain,
( ( e22 = e21 )
| ( unit2 = e20 )
| ( unit2 = e21 )
| ( unit2 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3872,zip_derived_cl79]) ).
thf(zip_derived_cl218,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl3901,plain,
( ( unit2 = e20 )
| ( unit2 = e21 )
| ( unit2 = e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3900,zip_derived_cl218]) ).
thf(ax8,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl3444_003,plain,
( ( op2 @ e22 @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl3442]) ).
thf(zip_derived_cl3561,plain,
( ( op2 @ e22 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl3444]) ).
thf(zip_derived_cl3955,plain,
( ( ( op2 @ unit2 @ e20 )
!= e20 )
| ( unit2 = e21 )
| ( unit2 = e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3901,zip_derived_cl3561]) ).
thf(zip_derived_cl81,plain,
( ( op2 @ unit2 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3982,plain,
( ( e20 != e20 )
| ( unit2 = e21 )
| ( unit2 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl3955,zip_derived_cl81]) ).
thf(zip_derived_cl3983,plain,
( ( unit2 = e20 )
| ( unit2 = e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3982]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl275_004,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3573,plain,
( ( op2 @ e21 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl275]) ).
thf(zip_derived_cl4012,plain,
( ( ( op2 @ unit2 @ e20 )
!= e20 )
| ( unit2 = e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3983,zip_derived_cl3573]) ).
thf(zip_derived_cl81_005,plain,
( ( op2 @ unit2 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4027,plain,
( ( e20 != e20 )
| ( unit2 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl4012,zip_derived_cl81]) ).
thf(zip_derived_cl4028,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4072,plain,
( ( op2 @ e22 @ e22 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3444,zip_derived_cl4028]) ).
thf(zip_derived_cl4028_006,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl77,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4393,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( unit2 = e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( e22 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl4072,zip_derived_cl4028,zip_derived_cl77]) ).
thf(zip_derived_cl216,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl219_007,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl4028_008,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4052,plain,
unit2 != e23,
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl4028]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4028_009,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl74,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4036,plain,
( e23
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl4028,zip_derived_cl74]) ).
thf(zip_derived_cl4394,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_010,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4072_011,plain,
( ( op2 @ e22 @ e22 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3444,zip_derived_cl4028]) ).
thf(zip_derived_cl4394_012,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_013,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4028_014,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4394_015,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4446,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) )
| ( unit2
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
| ( e22
= ( op2 @ e21 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4072,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4028,zip_derived_cl76,zip_derived_cl4394]) ).
thf(zip_derived_cl197,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4028_016,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl77_017,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4047,plain,
( e22
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl4028,zip_derived_cl77]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl275_018,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3572,plain,
( e20
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl275]) ).
thf(zip_derived_cl4028_019,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4081,plain,
( unit2
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3572,zip_derived_cl4028]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4028_020,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl75,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4044,plain,
( e23
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl4028,zip_derived_cl75]) ).
thf(zip_derived_cl4394_021,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_022,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4417,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4044,zip_derived_cl4394,zip_derived_cl4394]) ).
thf(zip_derived_cl4447,plain,
( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4446,zip_derived_cl4047,zip_derived_cl4081,zip_derived_cl4417]) ).
thf(zip_derived_cl4448,plain,
( ( h5 @ e12 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl4447]) ).
thf(zip_derived_cl4394_023,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(ax3,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl33,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(ax12,axiom,
( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zf_stmt_11,type,
zip_tseitin_3: $o ).
thf(zf_stmt_12,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_2: $o ).
thf(zf_stmt_14,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_1: $o ).
thf(zf_stmt_16,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_0: $o ).
thf(zf_stmt_18,axiom,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl254,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl244,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(ax14,axiom,
( ( e12
= ( op1 @ e13 @ e11 ) )
& ( e10
= ( op1 @ e11 @ e11 ) ) ) ).
thf(zip_derived_cl273,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3416,plain,
( ( e10 = e11 )
| ~ zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl273]) ).
thf(ax9,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl215,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3417,plain,
~ zip_tseitin_1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3416,zip_derived_cl215]) ).
thf(zip_derived_cl3423,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl3417]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl273_024,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3418,plain,
( ( e10 = e12 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl273]) ).
thf(zip_derived_cl214,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3419,plain,
~ zip_tseitin_2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3418,zip_derived_cl214]) ).
thf(zip_derived_cl3424,plain,
( zip_tseitin_3
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl3423,zip_derived_cl3419]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl273_025,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3420,plain,
( ( e10 = e13 )
| ~ zip_tseitin_3 ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl273]) ).
thf(zip_derived_cl213,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3421,plain,
~ zip_tseitin_3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3420,zip_derived_cl213]) ).
thf(zip_derived_cl3425,plain,
zip_tseitin_0,
inference(clc,[status(thm)],[zip_derived_cl3424,zip_derived_cl3421]) ).
thf(zip_derived_cl3427,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl3425]) ).
thf(ax2,axiom,
( ( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) )
& ( ( op1 @ e13 @ unit1 )
= e13 )
& ( ( op1 @ unit1 @ e13 )
= e13 )
& ( ( op1 @ e12 @ unit1 )
= e12 )
& ( ( op1 @ unit1 @ e12 )
= e12 )
& ( ( op1 @ e11 @ unit1 )
= e11 )
& ( ( op1 @ unit1 @ e11 )
= e11 )
& ( ( op1 @ e10 @ unit1 )
= e10 )
& ( ( op1 @ unit1 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl16,plain,
( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl272,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3497,plain,
( ( e12
= ( op1 @ unit1 @ e11 ) )
| ( unit1 = e10 )
| ( unit1 = e11 )
| ( unit1 = e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl272]) ).
thf(zip_derived_cl22,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3536,plain,
( ( e12 = e11 )
| ( unit1 = e10 )
| ( unit1 = e11 )
| ( unit1 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3497,zip_derived_cl22]) ).
thf(zip_derived_cl212,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3537,plain,
( ( unit1 = e10 )
| ( unit1 = e11 )
| ( unit1 = e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3536,zip_derived_cl212]) ).
thf(ax7,axiom,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3427_026,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl3425]) ).
thf(zip_derived_cl3454,plain,
( ( op1 @ e12 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl3427]) ).
thf(zip_derived_cl3632,plain,
( ( ( op1 @ unit1 @ e10 )
!= e10 )
| ( unit1 = e11 )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3537,zip_derived_cl3454]) ).
thf(zip_derived_cl24,plain,
( ( op1 @ unit1 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3659,plain,
( ( e10 != e10 )
| ( unit1 = e11 )
| ( unit1 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl3632,zip_derived_cl24]) ).
thf(zip_derived_cl3660,plain,
( ( unit1 = e10 )
| ( unit1 = e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3659]) ).
thf(zip_derived_cl150,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl272_027,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3408,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl272]) ).
thf(zip_derived_cl3694,plain,
( ( ( op1 @ e12 @ unit1 )
!= e12 )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3660,zip_derived_cl3408]) ).
thf(zip_derived_cl19,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3708,plain,
( ( e12 != e12 )
| ( unit1 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl3694,zip_derived_cl19]) ).
thf(zip_derived_cl3709,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3758,plain,
( ( op1 @ e12 @ e12 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3427,zip_derived_cl3709]) ).
thf(zip_derived_cl3709_028,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl20,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4303,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( unit1 = e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( e12 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl3758,zip_derived_cl3709,zip_derived_cl20]) ).
thf(zip_derived_cl210,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl213_029,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3709_030,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3742,plain,
unit1 != e13,
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl3709]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3709_031,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl17,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3726,plain,
( e13
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl3709,zip_derived_cl17]) ).
thf(zip_derived_cl4304,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl294,plain,
( ( h5 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4304_032,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4320,plain,
( ( h5 @ ( op1 @ e11 @ e12 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl4304]) ).
thf(zip_derived_cl295,plain,
( ( h5 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3709_033,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl293,plain,
( ( h5 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl275_034,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3436,plain,
( ( h5 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl275]) ).
thf(zip_derived_cl3709_035,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3761,plain,
( ( h5 @ unit1 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl3436,zip_derived_cl3709]) ).
thf(zip_derived_cl4028_036,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4088,plain,
( ( h5 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl4028]) ).
thf(zip_derived_cl4028_037,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4304_038,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_039,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl3425_040,plain,
zip_tseitin_0,
inference(clc,[status(thm)],[zip_derived_cl3424,zip_derived_cl3421]) ).
thf(zip_derived_cl3426,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl3425]) ).
thf(zip_derived_cl3709_041,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3757,plain,
( ( op1 @ e13 @ e13 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3426,zip_derived_cl3709]) ).
thf(zip_derived_cl4304_042,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_043,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4334,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3757,zip_derived_cl4304,zip_derived_cl4304]) ).
thf(zip_derived_cl4088_044,plain,
( ( h5 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl4028]) ).
thf(zip_derived_cl4072_045,plain,
( ( op2 @ e22 @ e22 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3444,zip_derived_cl4028]) ).
thf(zip_derived_cl4304_046,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl4304_047,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_048,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_049,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_050,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_051,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl3709_052,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl4515,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= e12 )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= e11 )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl3709]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3426_053,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl3425]) ).
thf(zip_derived_cl3446,plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl3426]) ).
thf(zip_derived_cl3709_054,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3763,plain,
( ( op1 @ e13 @ e12 )
!= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3446,zip_derived_cl3709]) ).
thf(zip_derived_cl4304_055,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4335,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3763,zip_derived_cl4304]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl272_056,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3397,plain,
( e12
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl272]) ).
thf(zip_derived_cl4304_057,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4326,plain,
( e12
!= ( op1 @ ( op1 @ e11 @ e12 ) @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3397,zip_derived_cl4304]) ).
thf(zip_derived_cl145,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4304_058,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4310,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ ( op1 @ e11 @ e12 ) @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl4304]) ).
thf(zip_derived_cl4516,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4515,zip_derived_cl4335,zip_derived_cl4326,zip_derived_cl4310]) ).
thf(zip_derived_cl295_059,plain,
( ( h5 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4394_060,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl61,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4394_061,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_062,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_063,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_064,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_065,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4028_066,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4687,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
| ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4028]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl3444_067,plain,
( ( op2 @ e22 @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl3442]) ).
thf(zip_derived_cl3474,plain,
( e20
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl3444]) ).
thf(zip_derived_cl4028_068,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4077,plain,
( unit2
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl3474,zip_derived_cl4028]) ).
thf(zip_derived_cl4394_069,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4424,plain,
( unit2
!= ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4077,zip_derived_cl4394]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4028_070,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl76_071,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4037,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl4028,zip_derived_cl76]) ).
thf(zip_derived_cl4394_072,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4415,plain,
( e22
!= ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4037,zip_derived_cl4394]) ).
thf(zip_derived_cl4417_073,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4044,zip_derived_cl4394,zip_derived_cl4394]) ).
thf(zip_derived_cl4688,plain,
( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4687,zip_derived_cl4424,zip_derived_cl4415,zip_derived_cl4417]) ).
thf(zip_derived_cl4304_074,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl272_075,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl4304_076,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4316,plain,
( e12
= ( op1 @ ( op1 @ e11 @ e12 ) @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl4304]) ).
thf(zip_derived_cl4448_077,plain,
( ( h5 @ e12 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl4447]) ).
thf(zip_derived_cl4447_078,plain,
( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4446,zip_derived_cl4047,zip_derived_cl4081,zip_derived_cl4417]) ).
thf(zip_derived_cl4304_079,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl3709_080,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl17_081,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4304_082,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_083,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4305,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ unit1 )
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4304,zip_derived_cl4304]) ).
thf(zip_derived_cl4320_084,plain,
( ( h5 @ ( op1 @ e11 @ e12 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl4304]) ).
thf(zip_derived_cl4028_085,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl76_086,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4304_087,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl4304_088,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_089,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_090,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_091,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_092,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl3709_093,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl4574,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
| ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl3709]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3426_094,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl3425]) ).
thf(zip_derived_cl3448,plain,
( ( op1 @ e12 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl3426]) ).
thf(zip_derived_cl3709_095,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3765,plain,
( ( op1 @ e12 @ e13 )
!= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3448,zip_derived_cl3709]) ).
thf(zip_derived_cl4304_096,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4336,plain,
( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3765,zip_derived_cl4304]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3709_097,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl19_098,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3727,plain,
( e12
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl3709,zip_derived_cl19]) ).
thf(zip_derived_cl4304_099,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4328,plain,
( e12
!= ( op1 @ e12 @ ( op1 @ e11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3727,zip_derived_cl4304]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3709_100,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl18,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3734,plain,
( e13
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl3709,zip_derived_cl18]) ).
thf(zip_derived_cl4304_101,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_102,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4330,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ ( op1 @ e11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3734,zip_derived_cl4304,zip_derived_cl4304]) ).
thf(zip_derived_cl4575,plain,
( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4574,zip_derived_cl4336,zip_derived_cl4328,zip_derived_cl4330]) ).
thf(zip_derived_cl295_103,plain,
( ( h5 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4394_104,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl58,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4394_105,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_106,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_107,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_108,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_109,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4028_110,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4658,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= e22 )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= e21 )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4028]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl255,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3442_111,plain,
zip_tseitin_4,
inference(clc,[status(thm)],[zip_derived_cl3441,zip_derived_cl3434]) ).
thf(zip_derived_cl3443,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl3442]) ).
thf(zip_derived_cl3464,plain,
( ( op2 @ e23 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl3443]) ).
thf(zip_derived_cl4028_112,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4074,plain,
( ( op2 @ e23 @ e22 )
!= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3464,zip_derived_cl4028]) ).
thf(zip_derived_cl4394_113,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4423,plain,
( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl4074,zip_derived_cl4394]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl274_114,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3440,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl274]) ).
thf(zip_derived_cl4394_115,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4412,plain,
( e22
!= ( op2 @ ( op2 @ e21 @ e22 ) @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3440,zip_derived_cl4394]) ).
thf(zip_derived_cl193,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4394_116,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4400,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ ( op2 @ e21 @ e22 ) @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl4394]) ).
thf(zip_derived_cl4659,plain,
( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4658,zip_derived_cl4423,zip_derived_cl4412,zip_derived_cl4400]) ).
thf(zip_derived_cl3758_117,plain,
( ( op1 @ e12 @ e12 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3427,zip_derived_cl3709]) ).
thf(zip_derived_cl4088_118,plain,
( ( h5 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl4028]) ).
thf(zip_derived_cl4394_119,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_120,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl3443_121,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl3442]) ).
thf(zip_derived_cl4028_122,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4071,plain,
( ( op2 @ e23 @ e23 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3443,zip_derived_cl4028]) ).
thf(zip_derived_cl4394_123,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_124,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4422,plain,
( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl4071,zip_derived_cl4394,zip_derived_cl4394]) ).
thf(zip_derived_cl34,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4304_125,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_126,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl3758_127,plain,
( ( op1 @ e12 @ e12 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl3427,zip_derived_cl3709]) ).
thf(zip_derived_cl4304_128,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_129,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl3709_130,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl19_131,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4304_132,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4373,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) )
| ( unit1
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( e12
= ( op1 @ e11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl3758,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl3709,zip_derived_cl19,zip_derived_cl4304]) ).
thf(zip_derived_cl149,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3709_133,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl20_134,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3737,plain,
( e12
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl3709,zip_derived_cl20]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl273_135,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3412,plain,
( e10
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl273]) ).
thf(zip_derived_cl3709_136,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3753,plain,
( unit1
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3412,zip_derived_cl3709]) ).
thf(zip_derived_cl4330_137,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ ( op1 @ e11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3734,zip_derived_cl4304,zip_derived_cl4304]) ).
thf(zip_derived_cl4374,plain,
( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4373,zip_derived_cl3737,zip_derived_cl3753,zip_derived_cl4330]) ).
thf(zip_derived_cl4320_138,plain,
( ( h5 @ ( op1 @ e11 @ e12 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl4304]) ).
thf(zip_derived_cl4394_139,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl274_140,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4394_141,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4405,plain,
( e22
= ( op2 @ ( op2 @ e21 @ e22 ) @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl4394]) ).
thf(zip_derived_cl3709_142,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl19_143,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4448_144,plain,
( ( h5 @ e12 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl4447]) ).
thf(zip_derived_cl4394_145,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4028_146,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl74_147,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4394_148,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_149,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4395,plain,
( ( op2 @ ( op2 @ e21 @ e22 ) @ unit2 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl4394,zip_derived_cl4394]) ).
thf(zip_derived_cl4304_150,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4304_151,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl273_152,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3709_153,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3749,plain,
( unit1
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl3709]) ).
thf(zip_derived_cl3709_154,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl21,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4467,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( unit1 = e12 )
| ( e11 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl4304,zip_derived_cl3749,zip_derived_cl3709,zip_derived_cl21]) ).
thf(zip_derived_cl212_155,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl214_156,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl3709_157,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3743,plain,
unit1 != e12,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl3709]) ).
thf(zip_derived_cl3737_158,plain,
( e12
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl3709,zip_derived_cl20]) ).
thf(zip_derived_cl4468,plain,
( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4467,zip_derived_cl212,zip_derived_cl3743,zip_derived_cl3737]) ).
thf(zip_derived_cl4448_159,plain,
( ( h5 @ e12 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl4447]) ).
thf(zip_derived_cl4320_160,plain,
( ( h5 @ ( op1 @ e11 @ e12 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl4304]) ).
thf(zip_derived_cl4394_161,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl101,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl4394_162,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl275_163,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4028_164,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4058,plain,
( unit2
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl4028]) ).
thf(zip_derived_cl4028_165,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl78,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4524,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( unit2 = e22 )
| ( e21 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl4394,zip_derived_cl4058,zip_derived_cl4028,zip_derived_cl78]) ).
thf(zip_derived_cl218_166,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl220_167,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl4028_168,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4053,plain,
unit2 != e22,
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl4028]) ).
thf(zip_derived_cl4047_169,plain,
( e22
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl4028,zip_derived_cl77]) ).
thf(zip_derived_cl4525,plain,
( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4524,zip_derived_cl218,zip_derived_cl4053,zip_derived_cl4047]) ).
thf(zip_derived_cl3749_170,plain,
( unit1
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl3709]) ).
thf(zip_derived_cl4088_171,plain,
( ( h5 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl4028]) ).
thf(zip_derived_cl4058_172,plain,
( unit2
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl4028]) ).
thf(zip_derived_cl3709_173,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl21_174,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl295_175,plain,
( ( h5 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4028_176,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl78_177,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3709_178,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl4304_179,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl18_180,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4304_181,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4304_182,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4303,zip_derived_cl210,zip_derived_cl3742,zip_derived_cl3726]) ).
thf(zip_derived_cl4306,plain,
( ( op1 @ unit1 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl4304,zip_derived_cl4304]) ).
thf(zip_derived_cl4320_183,plain,
( ( h5 @ ( op1 @ e11 @ e12 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl4304]) ).
thf(zip_derived_cl4028_184,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl77_185,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3709_186,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl20_187,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4448_188,plain,
( ( h5 @ e12 )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl4447]) ).
thf(zip_derived_cl4028_189,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4394_190,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl75_191,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4394_192,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4394_193,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4393,zip_derived_cl216,zip_derived_cl4052,zip_derived_cl4036]) ).
thf(zip_derived_cl4396,plain,
( ( op2 @ unit2 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl4394,zip_derived_cl4394]) ).
thf(zip_derived_cl3709_194,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl22_195,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl295_196,plain,
( ( h5 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4028_197,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl79_198,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3709_199,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3709_200,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl23,plain,
( ( op1 @ e10 @ unit1 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3709_201,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3709_202,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl3708]) ).
thf(zip_derived_cl3724,plain,
( ( op1 @ unit1 @ unit1 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl3709,zip_derived_cl3709]) ).
thf(zip_derived_cl4088_203,plain,
( ( h5 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl4028]) ).
thf(zip_derived_cl4028_204,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4028_205,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl80,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4028_206,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4028_207,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl4034,plain,
( ( op2 @ unit2 @ unit2 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl4028,zip_derived_cl4028]) ).
thf(zip_derived_cl11816,plain,
( ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e22 ) )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 )
| ( unit2 != unit2 )
| ( e21 != e21 )
| ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e22 ) )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 )
| ( e22 != e22 )
| ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e22 ) )
| ( e22 != e22 )
| ( unit2 != unit2 )
| ( e21 != e21 )
| ( e22 != e22 )
| ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e22 ) )
| ( e21 != e21 )
| ( unit2 != unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11815,zip_derived_cl4448,zip_derived_cl4394,zip_derived_cl4304,zip_derived_cl4320,zip_derived_cl295,zip_derived_cl3709,zip_derived_cl4088,zip_derived_cl4028,zip_derived_cl4304,zip_derived_cl4304,zip_derived_cl4334,zip_derived_cl4088,zip_derived_cl4072,zip_derived_cl4304,zip_derived_cl4516,zip_derived_cl295,zip_derived_cl4394,zip_derived_cl4688,zip_derived_cl4304,zip_derived_cl4316,zip_derived_cl4448,zip_derived_cl4447,zip_derived_cl4304,zip_derived_cl3709,zip_derived_cl4305,zip_derived_cl4320,zip_derived_cl4028,zip_derived_cl76,zip_derived_cl4304,zip_derived_cl4575,zip_derived_cl295,zip_derived_cl4394,zip_derived_cl4659,zip_derived_cl3758,zip_derived_cl4088,zip_derived_cl4394,zip_derived_cl4394,zip_derived_cl4422,zip_derived_cl4374,zip_derived_cl4320,zip_derived_cl4394,zip_derived_cl4405,zip_derived_cl3709,zip_derived_cl19,zip_derived_cl4448,zip_derived_cl4394,zip_derived_cl4028,zip_derived_cl4395,zip_derived_cl4304,zip_derived_cl4468,zip_derived_cl4448,zip_derived_cl4320,zip_derived_cl4394,zip_derived_cl4525,zip_derived_cl3749,zip_derived_cl4088,zip_derived_cl4058,zip_derived_cl3709,zip_derived_cl21,zip_derived_cl295,zip_derived_cl4028,zip_derived_cl78,zip_derived_cl3709,zip_derived_cl4304,zip_derived_cl4306,zip_derived_cl4320,zip_derived_cl4028,zip_derived_cl77,zip_derived_cl3709,zip_derived_cl20,zip_derived_cl4448,zip_derived_cl4028,zip_derived_cl4394,zip_derived_cl4396,zip_derived_cl3709,zip_derived_cl22,zip_derived_cl295,zip_derived_cl4028,zip_derived_cl79,zip_derived_cl3709,zip_derived_cl3709,zip_derived_cl3724,zip_derived_cl4088,zip_derived_cl4028,zip_derived_cl4028,zip_derived_cl4034]) ).
thf(zip_derived_cl11817,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl11816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG037+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uCahD5hxLq true
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 04:50:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 13.72/2.56 % Solved by fo/fo7.sh.
% 13.72/2.56 % done 1862 iterations in 1.745s
% 13.72/2.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.72/2.56 % SZS output start Refutation
% See solution above
% 13.72/2.56
% 13.72/2.56
% 13.72/2.56 % Terminating...
% 14.15/2.65 % Runner terminated.
% 14.15/2.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------