TSTP Solution File: ALG166+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG166+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.3E3pIdC6vL true
% Computer : n022.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 17:11:46 EDT 2023
% Result : Theorem 89.06s 13.43s
% Output : Refutation 89.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 153
% Number of leaves : 68
% Syntax : Number of formulae : 1572 ( 880 unt; 37 typ; 0 def)
% Number of atoms : 5426 (5074 equ; 0 cnn)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 17774 (1570 ~;3079 |; 802 &;12313 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 21 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e14_type,type,
e14: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(h2_type,type,
h2: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e21_type,type,
e21: $i ).
thf(e20_type,type,
e20: $i ).
thf(e11_type,type,
e11: $i ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(e24_type,type,
e24: $i ).
thf(e23_type,type,
e23: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(h5_type,type,
h5: $i > $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(co1,conjecture,
( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( 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,
~ ( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( 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 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( 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 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( 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_cl1330,plain,
( ( ( h1 @ e13 )
!= e24 )
| ( ( h1 @ e11 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e10 )
!= e21 )
| ( ( h1 @ e14 )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e14 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
| ( ( 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 @ e14 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
| ( ( 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 @ e14 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
| ( ( 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 @ e14 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
| ( ( 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,[status(esa)],[zf_stmt_0]) ).
thf(ax16,axiom,
( ( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) )
& ( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e10 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e14 )
= e20 ) ) ).
thf(zip_derived_cl505,plain,
( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl507,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax15,axiom,
( ( e23
= ( op2 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ) )
& ( e22
= ( op2 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ e24 @ e24 ) ) )
& ( e21
= ( op2 @ e24 @ e24 ) )
& ( e20
= ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ) ) ).
thf(zip_derived_cl501,plain,
( e23
= ( op2 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl503,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl504,plain,
( e20
= ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl503_001,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16198,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl503_002,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16198_003,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl507_004,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17363,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17364,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl508,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl507_005,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16207,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ ( h1 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl507]) ).
thf(zip_derived_cl17363_006,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17365,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17364_007,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl17365_008,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17590,plain,
( ( h1 @ e13 )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl17364,zip_derived_cl17365,zip_derived_cl17364,zip_derived_cl17365]) ).
thf(ax5,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl173,plain,
( ( ( op2 @ e24 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax19,axiom,
( ( ( h4 @ e13 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e14 )
= e23 ) ) ).
thf(zip_derived_cl523,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl522,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl16210,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( h4 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl523,zip_derived_cl522]) ).
thf(ax6,axiom,
( ( ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) )
= e24 )
& ( ( op2 @ ( op2 @ e23 @ e24 ) @ ( op2 @ e24 @ e23 ) )
= e24 )
& ( ( op2 @ ( op2 @ e22 @ e24 ) @ ( op2 @ e24 @ e22 ) )
= e24 )
& ( ( op2 @ ( op2 @ e21 @ e24 ) @ ( op2 @ e24 @ e21 ) )
= e24 )
& ( ( op2 @ ( op2 @ e20 @ e24 ) @ ( op2 @ e24 @ e20 ) )
= e24 )
& ( ( op2 @ ( op2 @ e24 @ e23 ) @ ( op2 @ e23 @ e24 ) )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e23 @ e22 ) )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e23 @ e21 ) )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e23 @ e20 ) )
= e23 )
& ( ( op2 @ ( op2 @ e24 @ e22 ) @ ( op2 @ e22 @ e24 ) )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e22 @ e23 ) )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e22 @ e21 ) )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e22 @ e20 ) )
= e22 )
& ( ( op2 @ ( op2 @ e24 @ e21 ) @ ( op2 @ e21 @ e24 ) )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e21 @ e23 ) )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e21 @ e22 ) )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e21 @ e20 ) )
= e21 )
& ( ( op2 @ ( op2 @ e24 @ e20 ) @ ( op2 @ e20 @ e24 ) )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e20 @ e23 ) )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e20 @ e22 ) )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e20 @ e21 ) )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ).
thf(zip_derived_cl199,plain,
( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl507_009,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl507_010,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16512,plain,
( ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl507,zip_derived_cl507]) ).
thf(zip_derived_cl17363_011,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17363_012,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl522_013,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl17367,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17379,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17364_014,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl19078,plain,
( ( ( op2 @ e24 @ e20 )
= e20 )
| ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl17379,zip_derived_cl17364]) ).
thf(ax10,axiom,
( ( e23 != e24 )
& ( e22 != e24 )
& ( e22 != e23 )
& ( e21 != e24 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e24 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl417,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(ax8,axiom,
( ( ( op2 @ e24 @ e23 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e23 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl317,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl522_015,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl16698,plain,
( ( op2 @ e23 @ e20 )
!= ( h4 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl522]) ).
thf(zip_derived_cl17367_016,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17385,plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16698,zip_derived_cl17367]) ).
thf(zip_derived_cl17379_017,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17479,plain,
( ( h4 @ e10 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17385,zip_derived_cl17379]) ).
thf(zip_derived_cl309,plain,
( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16198_018,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl16664,plain,
( ( op2 @ e24 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl16198]) ).
thf(zip_derived_cl19079,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19078,zip_derived_cl417,zip_derived_cl17479,zip_derived_cl16664]) ).
thf(zip_derived_cl172,plain,
( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17365_019,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl502,plain,
( e22
= ( op2 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ e24 @ e24 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl503_020,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16198_021,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl503_022,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16961,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl17364_023,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl19066,plain,
( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( h1 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( e22 = e21 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl17365,zip_derived_cl16961,zip_derived_cl17364]) ).
thf(zip_derived_cl414,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl415,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl356,plain,
( ( op2 @ e20 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl503_024,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16844,plain,
( ( op2 @ e20 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl503]) ).
thf(zip_derived_cl19067,plain,
( ( ( h1 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19066,zip_derived_cl414,zip_derived_cl415,zip_derived_cl16844]) ).
thf(zip_derived_cl197,plain,
( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e20 @ e22 ) )
= e20 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl19069,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e21 )
= e20 )
| ( ( h1 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19067,zip_derived_cl197]) ).
thf(zip_derived_cl19353,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( h1 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19079,zip_derived_cl19069]) ).
thf(zip_derived_cl16961_025,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl19354,plain,
( ( e22 = e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( h1 @ e10 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19353,zip_derived_cl16961]) ).
thf(zip_derived_cl418,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19355,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( h1 @ e10 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19354,zip_derived_cl418]) ).
thf(zip_derived_cl198,plain,
( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e20 @ e21 ) )
= e20 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16961_026,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl16963,plain,
( ( op2 @ ( op2 @ e21 @ e20 ) @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl16961]) ).
thf(zip_derived_cl19360,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( h1 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19355,zip_derived_cl16963]) ).
thf(zip_derived_cl19067_027,plain,
( ( ( h1 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19066,zip_derived_cl414,zip_derived_cl415,zip_derived_cl16844]) ).
thf(zip_derived_cl19410,plain,
( ( e20 = e21 )
| ( ( h1 @ e10 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19360,zip_derived_cl19067]) ).
thf(zip_derived_cl19413,plain,
( ( ( h1 @ e10 )
= e21 )
| ( e20 = e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19410]) ).
thf(zip_derived_cl419,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19414,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19414_028,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(ax17,axiom,
( ( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e12 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e14 )
= e21 ) ) ).
thf(zip_derived_cl512,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl503_029,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl503_030,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl512_031,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl16358,plain,
( ( h2 @ e11 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl503,zip_derived_cl503,zip_derived_cl512]) ).
thf(zip_derived_cl16359,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl19427,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl17363_032,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl506,plain,
( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl507_033,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16207_034,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ ( h1 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl507]) ).
thf(zip_derived_cl507_035,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17004,plain,
( ( h1 @ e12 )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl507,zip_derived_cl16207,zip_derived_cl507]) ).
thf(zip_derived_cl17363_036,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17376,plain,
( ( h1 @ e12 )
= ( op2 @ ( h1 @ e10 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17004,zip_derived_cl17363]) ).
thf(zip_derived_cl19414_037,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19416,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl116,plain,
( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl364,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl522_038,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl16848,plain,
( ( op2 @ e21 @ e23 )
!= ( h4 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl522]) ).
thf(zip_derived_cl17367_039,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17388,plain,
( ( op2 @ e21 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16848,zip_derived_cl17367]) ).
thf(zip_derived_cl334,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16359_040,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16761,plain,
( e24
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl16359]) ).
thf(zip_derived_cl18305,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl116,zip_derived_cl17388,zip_derived_cl16761]) ).
thf(zip_derived_cl19475,plain,
( ( ( h1 @ e12 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19416,zip_derived_cl18305]) ).
thf(zip_derived_cl19416_041,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19969,plain,
( ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( h1 @ e12 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19475,zip_derived_cl19416]) ).
thf(zip_derived_cl19416_042,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl20002,plain,
( ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19969,zip_derived_cl19416]) ).
thf(zip_derived_cl369,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17365_043,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17437,plain,
( ( h1 @ e10 )
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl17365]) ).
thf(zip_derived_cl19414_044,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19421,plain,
( e21
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17437,zip_derived_cl19414]) ).
thf(zip_derived_cl19416_045,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19479,plain,
( e21
!= ( h1 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl19421,zip_derived_cl19416]) ).
thf(zip_derived_cl20006,plain,
( ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20002,zip_derived_cl19479]) ).
thf(zip_derived_cl20006_046,plain,
( ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20002,zip_derived_cl19479]) ).
thf(zip_derived_cl108,plain,
( ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl380,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16198_047,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl16898,plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl16198]) ).
thf(zip_derived_cl387,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16961_048,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl16967,plain,
( e22
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl16961]) ).
thf(zip_derived_cl384,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16359_049,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16901,plain,
( e24
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl16359]) ).
thf(zip_derived_cl18210,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl16898,zip_derived_cl16967,zip_derived_cl16901]) ).
thf(zip_derived_cl183,plain,
( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e23 @ e21 ) )
= e23 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl19416_050,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19459,plain,
( ( op2 @ ( h1 @ e12 ) @ ( op2 @ e23 @ e21 ) )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl19416]) ).
thf(zip_derived_cl19634,plain,
( ( ( op2 @ ( h1 @ e12 ) @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18210,zip_derived_cl19459]) ).
thf(zip_derived_cl20016,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20006,zip_derived_cl19634]) ).
thf(zip_derived_cl522_051,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl17367_052,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17378,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl17367]) ).
thf(zip_derived_cl20024,plain,
( ( e20 = e23 )
| ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20016,zip_derived_cl17378]) ).
thf(zip_derived_cl417_053,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20025,plain,
( ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20024,zip_derived_cl417]) ).
thf(zip_derived_cl19459_054,plain,
( ( op2 @ ( h1 @ e12 ) @ ( op2 @ e23 @ e21 ) )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl19416]) ).
thf(zip_derived_cl20077,plain,
( ( ( op2 @ ( h1 @ e12 ) @ e21 )
= e23 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20025,zip_derived_cl19459]) ).
thf(zip_derived_cl20149,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20006,zip_derived_cl20077]) ).
thf(zip_derived_cl20150,plain,
( ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20149]) ).
thf(zip_derived_cl20025_055,plain,
( ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20024,zip_derived_cl417]) ).
thf(zip_derived_cl20160,plain,
( ( e23 = e21 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e12 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20150,zip_derived_cl20025]) ).
thf(zip_derived_cl20163,plain,
( ( ( h1 @ e12 )
= e22 )
| ( e23 = e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20160]) ).
thf(zip_derived_cl414_056,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20164,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl19414_057,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl509,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax14,axiom,
( ( e13
= ( op1 @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) ) )
& ( e12
= ( op1 @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) @ ( op1 @ e14 @ e14 ) ) )
& ( e11
= ( op1 @ e14 @ e14 ) )
& ( e10
= ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) ) ) ).
thf(zip_derived_cl499,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17363_058,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl509_059,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl509_060,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17364_061,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl509_062,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl19427_063,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl125,plain,
( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl503_064,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl513,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl512_065,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl16208,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ ( h2 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl512]) ).
thf(zip_derived_cl16358_066,plain,
( ( h2 @ e11 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl503,zip_derived_cl503,zip_derived_cl512]) ).
thf(zip_derived_cl16360,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl18378,plain,
( ( e21 = e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( h2 @ e10 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl503,zip_derived_cl16360]) ).
thf(zip_derived_cl333,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16359_067,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16360_068,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl16737,plain,
( e24
!= ( h2 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl16359,zip_derived_cl16360]) ).
thf(zip_derived_cl413,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18379,plain,
( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18378,zip_derived_cl16737,zip_derived_cl413]) ).
thf(zip_derived_cl316,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17379_069,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17441,plain,
( ( h4 @ e10 )
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl17379]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ ( op2 @ e21 @ e24 ) @ ( op2 @ e24 @ e21 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16360_070,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl16198_071,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl16402,plain,
( ( op2 @ ( h2 @ e10 ) @ e20 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl16360,zip_derived_cl16198]) ).
thf(zip_derived_cl19416_072,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl158,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16359_073,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl18922,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( e24 = e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl16359]) ).
thf(zip_derived_cl399,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl507_074,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16924,plain,
( ( h1 @ e11 )
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl507]) ).
thf(zip_derived_cl17363_075,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17374,plain,
( e23
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16924,zip_derived_cl17363]) ).
thf(zip_derived_cl410,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18923,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18922,zip_derived_cl17374,zip_derived_cl410]) ).
thf(zip_derived_cl16360_076,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl18925,plain,
( ( ( h2 @ e10 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18923,zip_derived_cl16360]) ).
thf(zip_derived_cl19476,plain,
( ( ( h1 @ e12 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19416,zip_derived_cl18925]) ).
thf(zip_derived_cl135,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17378_077,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl17367]) ).
thf(zip_derived_cl17365_078,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl18516,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( e20 = e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl17378,zip_derived_cl17365]) ).
thf(zip_derived_cl16761_079,plain,
( e24
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl16359]) ).
thf(zip_derived_cl416,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18517,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18516,zip_derived_cl16761,zip_derived_cl416]) ).
thf(zip_derived_cl128,plain,
( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl503_080,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16198_081,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl18433,plain,
( ( e21 = e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( e20 = e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl503,zip_derived_cl16198]) ).
thf(zip_derived_cl396,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl507_082,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16912,plain,
( ( h1 @ e11 )
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl507]) ).
thf(zip_derived_cl17363_083,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17371,plain,
( e23
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16912,zip_derived_cl17363]) ).
thf(zip_derived_cl417_084,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl414_085,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18434,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18433,zip_derived_cl17371,zip_derived_cl417,zip_derived_cl414]) ).
thf(zip_derived_cl18528,plain,
( ( e24 = e23 )
| ( ( h1 @ e10 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18517,zip_derived_cl18434]) ).
thf(zip_derived_cl410_086,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18531,plain,
( ( ( h1 @ e10 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18528,zip_derived_cl410]) ).
thf(zip_derived_cl19414_087,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19433,plain,
( ( e21 = e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18531,zip_derived_cl19414]) ).
thf(zip_derived_cl413_088,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19434,plain,
( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19433,zip_derived_cl413]) ).
thf(zip_derived_cl373,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19546,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19434,zip_derived_cl373]) ).
thf(zip_derived_cl19720,plain,
( ( e23 != e23 )
| ( ( h2 @ e10 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19476,zip_derived_cl19546]) ).
thf(zip_derived_cl19723,plain,
( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19720]) ).
thf(zip_derived_cl20164_089,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20195,plain,
( ( ( op2 @ e22 @ e23 )
= e24 )
| ( e22 = e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19723,zip_derived_cl20164]) ).
thf(zip_derived_cl412,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20196,plain,
( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20195,zip_derived_cl412]) ).
thf(zip_derived_cl19634_090,plain,
( ( ( op2 @ ( h1 @ e12 ) @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18210,zip_derived_cl19459]) ).
thf(zip_derived_cl20164_091,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20187,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19634,zip_derived_cl20164]) ).
thf(zip_derived_cl20360,plain,
( ( e24 = e23 )
| ( ( h2 @ e10 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20196,zip_derived_cl20187]) ).
thf(zip_derived_cl410_092,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20361,plain,
( ( ( h2 @ e10 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20360,zip_derived_cl410]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e21 @ e23 ) )
= e21 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl19416_093,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19460,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ ( h1 @ e12 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl19416]) ).
thf(zip_derived_cl20164_094,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20169,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ e22 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl19460,zip_derived_cl20164]) ).
thf(zip_derived_cl20374,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20361,zip_derived_cl20169]) ).
thf(zip_derived_cl19476_095,plain,
( ( ( h1 @ e12 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19416,zip_derived_cl18925]) ).
thf(zip_derived_cl20164_096,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20184,plain,
( ( e22 = e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19476,zip_derived_cl20164]) ).
thf(zip_derived_cl412_097,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20185,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20184,zip_derived_cl412]) ).
thf(zip_derived_cl20421,plain,
( ( e21 = e23 )
| ( ( h2 @ e10 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20374,zip_derived_cl20185]) ).
thf(zip_derived_cl20426,plain,
( ( ( h2 @ e10 )
= e23 )
| ( e21 = e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20421]) ).
thf(zip_derived_cl414_098,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20427,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl17379_099,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl20429,plain,
( ( h4 @ e10 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16402,zip_derived_cl20427,zip_derived_cl17379]) ).
thf(zip_derived_cl20485,plain,
( e24
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl17441,zip_derived_cl20429]) ).
thf(zip_derived_cl20514,plain,
( ( e24 != e24 )
| ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18379,zip_derived_cl20485]) ).
thf(zip_derived_cl20518,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20514]) ).
thf(zip_derived_cl320,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21025,plain,
( ( ( op2 @ e22 @ e23 )
!= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20518,zip_derived_cl320]) ).
thf(zip_derived_cl18517_100,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18516,zip_derived_cl16761,zip_derived_cl416]) ).
thf(zip_derived_cl19414_101,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19429,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( e21 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl18517,zip_derived_cl19414]) ).
thf(zip_derived_cl413_102,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19430,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19429,zip_derived_cl413]) ).
thf(zip_derived_cl302,plain,
( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19530,plain,
( ( ( op2 @ e24 @ e22 )
!= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19430,zip_derived_cl302]) ).
thf(ax13,axiom,
( ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e24 @ e20 )
!= e24 ) )
| ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e24 @ e21 )
!= e24 ) )
| ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e24 @ e22 )
!= e24 ) )
| ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e24 @ e23 )
!= e24 ) )
| ( ( ( op2 @ e20 @ e24 )
!= e20 )
& ( ( op2 @ e21 @ e24 )
!= e21 )
& ( ( op2 @ e22 @ e24 )
!= e22 )
& ( ( op2 @ e23 @ e24 )
!= e23 )
& ( ( op2 @ e24 @ e24 )
!= e24 ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_9: $o ).
thf(zf_stmt_2,axiom,
( zip_tseitin_9
=> ( ( ( op2 @ e24 @ e24 )
!= e24 )
& ( ( op2 @ e23 @ e24 )
!= e23 )
& ( ( op2 @ e22 @ e24 )
!= e22 )
& ( ( op2 @ e21 @ e24 )
!= e21 )
& ( ( op2 @ e20 @ e24 )
!= e20 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_8: $o ).
thf(zf_stmt_4,axiom,
( zip_tseitin_8
=> ( ( ( op2 @ e24 @ e23 )
!= e24 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_7: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e24 @ e22 )
!= e24 )
& ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_6: $o ).
thf(zf_stmt_8,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e24 @ e21 )
!= e24 )
& ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_5: $o ).
thf(zf_stmt_10,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e24 @ e20 )
!= e24 )
& ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ) ).
thf(zip_derived_cl496,plain,
( zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl174,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17365_103,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl16961_104,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl17364_105,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl19092,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( h1 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( e22 = e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl17365,zip_derived_cl16961,zip_derived_cl17364]) ).
thf(zip_derived_cl417_106,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl418_107,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl367,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl522_108,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl16881,plain,
( ( op2 @ e20 @ e23 )
!= ( h4 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl522]) ).
thf(zip_derived_cl17367_109,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17389,plain,
( ( op2 @ e20 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16881,zip_derived_cl17367]) ).
thf(zip_derived_cl17365_110,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17513,plain,
( ( h1 @ e10 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17389,zip_derived_cl17365]) ).
thf(zip_derived_cl19093,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19092,zip_derived_cl417,zip_derived_cl418,zip_derived_cl17513]) ).
thf(zip_derived_cl495,plain,
( ( ( op2 @ e20 @ e24 )
!= e20 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl19097,plain,
( ( e20 != e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_9 ),
inference('sup-',[status(thm)],[zip_derived_cl19093,zip_derived_cl495]) ).
thf(zip_derived_cl19105,plain,
( ~ zip_tseitin_9
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19097]) ).
thf(zip_derived_cl19110,plain,
( zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_7
| zip_tseitin_8
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl19105]) ).
thf(zip_derived_cl483,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(ax18,axiom,
( ( ( h3 @ e13 )
= ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e14 )
= e22 ) ) ).
thf(zip_derived_cl517,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl16235,plain,
( ( ( h3 @ e11 )
!= e22 )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl517]) ).
thf(zip_derived_cl150,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl517_111,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl18792,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl517]) ).
thf(zip_derived_cl388,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16961_112,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl16968,plain,
( e22
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl16961]) ).
thf(zip_derived_cl18793,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18792,zip_derived_cl16968]) ).
thf(zip_derived_cl352,plain,
( ( op2 @ e22 @ e24 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl105,plain,
( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl310,plain,
( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl522_113,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl16665,plain,
( ( h4 @ e11 )
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl522]) ).
thf(zip_derived_cl17367_114,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl522]) ).
thf(zip_derived_cl17382,plain,
( e20
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16665,zip_derived_cl17367]) ).
thf(zip_derived_cl350,plain,
( ( op2 @ e23 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl503_115,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16806,plain,
( ( op2 @ e23 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl503]) ).
thf(zip_derived_cl18173,plain,
( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl105,zip_derived_cl17382,zip_derived_cl16806]) ).
thf(zip_derived_cl20485_116,plain,
( e24
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl17441,zip_derived_cl20429]) ).
thf(zip_derived_cl20513,plain,
( ( e24 != e24 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18173,zip_derived_cl20485]) ).
thf(zip_derived_cl20516,plain,
( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20513]) ).
thf(zip_derived_cl354,plain,
( ( op2 @ e21 @ e24 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16360_117,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl16835,plain,
( ( h2 @ e10 )
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl16360]) ).
thf(zip_derived_cl20427_118,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl20435,plain,
( e23
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16835,zip_derived_cl20427]) ).
thf(zip_derived_cl20517,plain,
( ( op2 @ e23 @ e24 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20516,zip_derived_cl20435]) ).
thf(zip_derived_cl20574,plain,
( ( op2 @ e22 @ e24 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl20517]) ).
thf(zip_derived_cl20623,plain,
( ( e22 != e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18793,zip_derived_cl20574]) ).
thf(zip_derived_cl20627,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20623]) ).
thf(zip_derived_cl391,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl104,plain,
( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl16664_119,plain,
( ( op2 @ e24 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl16198]) ).
thf(zip_derived_cl306,plain,
( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl503_120,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16663,plain,
( ( op2 @ e24 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl503]) ).
thf(zip_derived_cl17371_121,plain,
( e23
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16912,zip_derived_cl17363]) ).
thf(zip_derived_cl18161,plain,
( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl104,zip_derived_cl16664,zip_derived_cl16663,zip_derived_cl17371]) ).
thf(zip_derived_cl390,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17379_122,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17444,plain,
( ( h4 @ e10 )
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl17379]) ).
thf(zip_derived_cl18170,plain,
( ( ( h4 @ e10 )
!= e24 )
| ( ( op2 @ e24 @ e20 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18161,zip_derived_cl17444]) ).
thf(zip_derived_cl20429_123,plain,
( ( h4 @ e10 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16402,zip_derived_cl20427,zip_derived_cl17379]) ).
thf(zip_derived_cl20494,plain,
( ( e24 != e24 )
| ( ( op2 @ e24 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18170,zip_derived_cl20429]) ).
thf(zip_derived_cl20495,plain,
( ( op2 @ e24 @ e20 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl20494]) ).
thf(zip_derived_cl20543,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl20495]) ).
thf(zip_derived_cl365,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19416_124,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19464,plain,
( ( h1 @ e12 )
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl19416]) ).
thf(zip_derived_cl20164_125,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20173,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19464,zip_derived_cl20164]) ).
thf(zip_derived_cl20628,plain,
( ( h3 @ e11 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20627,zip_derived_cl20543,zip_derived_cl20173]) ).
thf(zip_derived_cl20631,plain,
( ( e22 != e22 )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl16235,zip_derived_cl20628]) ).
thf(zip_derived_cl20632,plain,
~ zip_tseitin_7,
inference(simplify,[status(thm)],[zip_derived_cl20631]) ).
thf(zip_derived_cl20664,plain,
( zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_8
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl19110,zip_derived_cl20632]) ).
thf(zip_derived_cl164,plain,
( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16359_126,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl18966,plain,
( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( e24 = e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl16359]) ).
thf(zip_derived_cl416_127,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl17388_128,plain,
( ( op2 @ e21 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16848,zip_derived_cl17367]) ).
thf(zip_derived_cl18967,plain,
( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18966,zip_derived_cl416,zip_derived_cl17388]) ).
thf(zip_derived_cl16360_129,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl18969,plain,
( ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18967,zip_derived_cl16360]) ).
thf(zip_derived_cl20427_130,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl20446,plain,
( ( e23 = e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl18969,zip_derived_cl20427]) ).
thf(zip_derived_cl417_131,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20447,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20446,zip_derived_cl417]) ).
thf(zip_derived_cl379,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20930,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20447,zip_derived_cl379]) ).
thf(zip_derived_cl21351,plain,
( ( e20 != e20 )
| zip_tseitin_8
| zip_tseitin_6
| zip_tseitin_5
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20664,zip_derived_cl20930]) ).
thf(zip_derived_cl21352,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_8 ),
inference(simplify,[status(thm)],[zip_derived_cl21351]) ).
thf(zip_derived_cl19079_132,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19078,zip_derived_cl417,zip_derived_cl17479,zip_derived_cl16664]) ).
thf(zip_derived_cl171,plain,
( ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17379_133,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17364_134,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl19054,plain,
( ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl17379,zip_derived_cl17364]) ).
thf(zip_derived_cl414_135,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl16663_136,plain,
( ( op2 @ e24 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl503]) ).
thf(zip_derived_cl19055,plain,
( ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19054,zip_derived_cl414,zip_derived_cl16663]) ).
thf(zip_derived_cl19089,plain,
( ( e20 = e21 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19079,zip_derived_cl19055]) ).
thf(zip_derived_cl419_137,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19091,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19089,zip_derived_cl419]) ).
thf(zip_derived_cl474,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl19824,plain,
( ( e21 != e21 )
| ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ~ zip_tseitin_5 ),
inference('sup-',[status(thm)],[zip_derived_cl19091,zip_derived_cl474]) ).
thf(zip_derived_cl19834,plain,
( ~ zip_tseitin_5
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( h4 @ e10 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19824]) ).
thf(zip_derived_cl20429_138,plain,
( ( h4 @ e10 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16402,zip_derived_cl20427,zip_derived_cl17379]) ).
thf(zip_derived_cl20509,plain,
( ~ zip_tseitin_5
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( e24 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19834,zip_derived_cl20429]) ).
thf(zip_derived_cl413_139,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20510,plain,
( ~ zip_tseitin_5
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20509,zip_derived_cl413]) ).
thf(zip_derived_cl22041,plain,
( zip_tseitin_8
| zip_tseitin_6
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(clc,[status(thm)],[zip_derived_cl21352,zip_derived_cl20510]) ).
thf(zip_derived_cl194,plain,
( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e21 @ e20 ) )
= e21 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16961_140,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl16962,plain,
( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl16961]) ).
thf(zip_derived_cl22044,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
| zip_tseitin_6
| zip_tseitin_8 ),
inference('sup+',[status(thm)],[zip_derived_cl22041,zip_derived_cl16962]) ).
thf(zip_derived_cl113,plain,
( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl381,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16198_141,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl16899,plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl16198]) ).
thf(zip_derived_cl16968_142,plain,
( e22
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl16961]) ).
thf(zip_derived_cl385,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16359_143,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16902,plain,
( e24
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl16359]) ).
thf(zip_derived_cl18272,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl113,zip_derived_cl16899,zip_derived_cl16968,zip_derived_cl16902]) ).
thf(zip_derived_cl18210_144,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl16898,zip_derived_cl16967,zip_derived_cl16901]) ).
thf(zip_derived_cl382,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18213,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18210,zip_derived_cl382]) ).
thf(zip_derived_cl18502,plain,
( ( e23 != e23 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18272,zip_derived_cl18213]) ).
thf(zip_derived_cl18503,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18502]) ).
thf(zip_derived_cl19460_145,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ ( h1 @ e12 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl19416]) ).
thf(zip_derived_cl19685,plain,
( ( ( op2 @ e21 @ ( h1 @ e12 ) )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18503,zip_derived_cl19460]) ).
thf(zip_derived_cl20164_146,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20191,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19685,zip_derived_cl20164]) ).
thf(zip_derived_cl329,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20771,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20191,zip_derived_cl329]) ).
thf(zip_derived_cl22083,plain,
( ( e21 != e21 )
| zip_tseitin_8
| zip_tseitin_6
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22044,zip_derived_cl20771]) ).
thf(zip_derived_cl22089,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| zip_tseitin_6
| zip_tseitin_8 ),
inference(simplify,[status(thm)],[zip_derived_cl22083]) ).
thf(zip_derived_cl151,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl517_147,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl18811,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl517]) ).
thf(zip_derived_cl301,plain,
( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl503_148,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16641,plain,
( ( op2 @ e24 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl503]) ).
thf(zip_derived_cl18812,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18811,zip_derived_cl16641]) ).
thf(zip_derived_cl20628_149,plain,
( ( h3 @ e11 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20627,zip_derived_cl20543,zip_derived_cl20173]) ).
thf(zip_derived_cl20652,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( e22 = e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl18812,zip_derived_cl20628]) ).
thf(zip_derived_cl342,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17365_150,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17434,plain,
( ( op2 @ e20 @ e22 )
!= ( h1 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl17365]) ).
thf(zip_derived_cl19414_151,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19418,plain,
( ( op2 @ e20 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl17434,zip_derived_cl19414]) ).
thf(zip_derived_cl415_152,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20653,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20652,zip_derived_cl19418,zip_derived_cl415]) ).
thf(zip_derived_cl138,plain,
( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17378_153,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl17367]) ).
thf(zip_derived_cl17379_154,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl18570,plain,
( ( ( op2 @ e23 @ e24 )
= e23 )
| ( e20 = e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl17378,zip_derived_cl17379]) ).
thf(zip_derived_cl397,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl507_155,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16915,plain,
( ( h1 @ e11 )
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl507]) ).
thf(zip_derived_cl17363_156,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17372,plain,
( e23
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16915,zip_derived_cl17363]) ).
thf(zip_derived_cl17379_157,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl17447,plain,
( e23
!= ( h4 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl17372,zip_derived_cl17379]) ).
thf(zip_derived_cl417_158,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18571,plain,
( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18570,zip_derived_cl17447,zip_derived_cl417]) ).
thf(zip_derived_cl20435_159,plain,
( e23
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16835,zip_derived_cl20427]) ).
thf(zip_derived_cl20459,plain,
( ( e23 != e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18571,zip_derived_cl20435]) ).
thf(zip_derived_cl20462,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20459]) ).
thf(zip_derived_cl21207,plain,
( ( e21 = e23 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20653,zip_derived_cl20462]) ).
thf(zip_derived_cl414_160,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21212,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21207,zip_derived_cl414]) ).
thf(zip_derived_cl477,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl21844,plain,
( ( e23 != e23 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_6 ),
inference('sup-',[status(thm)],[zip_derived_cl21212,zip_derived_cl477]) ).
thf(zip_derived_cl21855,plain,
( ~ zip_tseitin_6
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21844]) ).
thf(zip_derived_cl22171,plain,
( zip_tseitin_8
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(clc,[status(thm)],[zip_derived_cl22089,zip_derived_cl21855]) ).
thf(zip_derived_cl157,plain,
( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16198_161,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl16359_162,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16961_163,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl18909,plain,
( ( e20 = e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( e24 = e23 )
| ( e22 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl16198,zip_derived_cl16359,zip_derived_cl16961]) ).
thf(zip_derived_cl412_164,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl410_165,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl417_166,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18910,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18909,zip_derived_cl412,zip_derived_cl410,zip_derived_cl417]) ).
thf(zip_derived_cl19460_167,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ ( h1 @ e12 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl19416]) ).
thf(zip_derived_cl19686,plain,
( ( ( op2 @ e23 @ ( h1 @ e12 ) )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18910,zip_derived_cl19460]) ).
thf(zip_derived_cl20164_168,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20192,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19686,zip_derived_cl20164]) ).
thf(zip_derived_cl374,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20781,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20192,zip_derived_cl374]) ).
thf(zip_derived_cl22182,plain,
( ( e21 != e21 )
| zip_tseitin_8
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22171,zip_derived_cl20781]) ).
thf(zip_derived_cl22186,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| zip_tseitin_8 ),
inference(simplify,[status(thm)],[zip_derived_cl22182]) ).
thf(zip_derived_cl137,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17378_169,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl17367]) ).
thf(zip_derived_cl17365_170,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl18550,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( e20 = e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl17378,zip_derived_cl17365]) ).
thf(zip_derived_cl347,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl507_171,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16803,plain,
( ( h1 @ e11 )
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl507]) ).
thf(zip_derived_cl17363_172,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17369,plain,
( e23
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16803,zip_derived_cl17363]) ).
thf(zip_derived_cl17365_173,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17440,plain,
( e23
!= ( h1 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl17369,zip_derived_cl17365]) ).
thf(zip_derived_cl417_174,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18551,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18550,zip_derived_cl17440,zip_derived_cl417]) ).
thf(zip_derived_cl19416_175,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19470,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( h1 @ e12 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18551,zip_derived_cl19416]) ).
thf(zip_derived_cl20164_176,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20178,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( e22 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19470,zip_derived_cl20164]) ).
thf(zip_derived_cl412_177,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20179,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20178,zip_derived_cl412]) ).
thf(zip_derived_cl19430_178,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19429,zip_derived_cl413]) ).
thf(zip_derived_cl20313,plain,
( ( e23 = e24 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20179,zip_derived_cl19430]) ).
thf(zip_derived_cl410_179,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20318,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20313,zip_derived_cl410]) ).
thf(zip_derived_cl21025_180,plain,
( ( ( op2 @ e22 @ e23 )
!= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20518,zip_derived_cl320]) ).
thf(zip_derived_cl21360,plain,
( ( e24 != e24 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20318,zip_derived_cl21025]) ).
thf(zip_derived_cl21361,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21360]) ).
thf(zip_derived_cl324,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl22555,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21361,zip_derived_cl324]) ).
thf(zip_derived_cl22589,plain,
( ( e23 != e23 )
| zip_tseitin_8
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22186,zip_derived_cl22555]) ).
thf(zip_derived_cl22593,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| zip_tseitin_8 ),
inference(simplify,[status(thm)],[zip_derived_cl22589]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ ( op2 @ e20 @ e24 ) @ ( op2 @ e24 @ e20 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl20495_181,plain,
( ( op2 @ e24 @ e20 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl20494]) ).
thf(zip_derived_cl20539,plain,
( ( op2 @ ( op2 @ e20 @ e24 ) @ e22 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl20495]) ).
thf(zip_derived_cl22615,plain,
( ( ( op2 @ e24 @ e22 )
= e24 )
| zip_tseitin_8 ),
inference('sup+',[status(thm)],[zip_derived_cl22593,zip_derived_cl20539]) ).
thf(zip_derived_cl126,plain,
( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl503_182,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16198_183,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl18391,plain,
( ( e21 = e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( e20 = e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl503,zip_derived_cl16198]) ).
thf(zip_derived_cl416_184,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl413_185,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18392,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18391,zip_derived_cl416,zip_derived_cl413]) ).
thf(zip_derived_cl486,plain,
( ( ( op2 @ e24 @ e23 )
!= e24 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl18399,plain,
( ( e24 != e24 )
| ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ~ zip_tseitin_8 ),
inference('sup-',[status(thm)],[zip_derived_cl18392,zip_derived_cl486]) ).
thf(zip_derived_cl18403,plain,
( ~ zip_tseitin_8
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18399]) ).
thf(zip_derived_cl20495_186,plain,
( ( op2 @ e24 @ e20 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl20494]) ).
thf(zip_derived_cl20550,plain,
( ~ zip_tseitin_8
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( e22 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl18403,zip_derived_cl20495]) ).
thf(zip_derived_cl411,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20551,plain,
( ~ zip_tseitin_8
| ( ( op2 @ e24 @ e22 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20550,zip_derived_cl411]) ).
thf(zip_derived_cl22656,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl22667,plain,
( ( e24 != e24 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl19530,zip_derived_cl22656]) ).
thf(zip_derived_cl22668,plain,
( ( op2 @ e22 @ e23 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl22667]) ).
thf(zip_derived_cl22713,plain,
( ( e24 != e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl21025,zip_derived_cl22668]) ).
thf(zip_derived_cl22714,plain,
( ( op2 @ e20 @ e24 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl22713]) ).
thf(zip_derived_cl509_187,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl20164_188,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl166,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17365_189,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl16961_190,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl17364_191,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl17363]) ).
thf(zip_derived_cl18989,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( h1 @ e10 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( e22 = e24 )
| ( e23 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl17365,zip_derived_cl16961,zip_derived_cl17364]) ).
thf(zip_derived_cl410_192,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl411_193,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18990,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( h1 @ e10 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18989,zip_derived_cl410,zip_derived_cl411]) ).
thf(zip_derived_cl19414_194,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19435,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( e21 = e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl18990,zip_derived_cl19414]) ).
thf(zip_derived_cl413_195,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19436,plain,
( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19435,zip_derived_cl413]) ).
thf(zip_derived_cl19093_196,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19092,zip_derived_cl417,zip_derived_cl418,zip_derived_cl17513]) ).
thf(zip_derived_cl19566,plain,
( ( e24 = e20 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19436,zip_derived_cl19093]) ).
thf(zip_derived_cl416_197,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19567,plain,
( ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19566,zip_derived_cl416]) ).
thf(zip_derived_cl376,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl22656_198,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl22662,plain,
( ( op2 @ e20 @ e22 )
!= e24 ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl22656]) ).
thf(zip_derived_cl22791,plain,
( ( e24 != e24 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19567,zip_derived_cl22662]) ).
thf(zip_derived_cl22793,plain,
( ( op2 @ e20 @ e22 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl22791]) ).
thf(zip_derived_cl500,plain,
( e10
= ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl499_199,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16195,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl19414_200,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl509_201,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17363_202,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17365_203,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl19414_204,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19415,plain,
( e21
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17365,zip_derived_cl19414]) ).
thf(zip_derived_cl509_205,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl19414_206,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl16961_207,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503]) ).
thf(zip_derived_cl19427_208,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl509_209,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl20495_210,plain,
( ( op2 @ e24 @ e20 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl20494]) ).
thf(ax3,axiom,
( ( ( op1 @ ( op1 @ e14 @ e14 ) @ ( op1 @ e14 @ e14 ) )
= e14 )
& ( ( op1 @ ( op1 @ e13 @ e14 ) @ ( op1 @ e14 @ e13 ) )
= e14 )
& ( ( op1 @ ( op1 @ e12 @ e14 ) @ ( op1 @ e14 @ e12 ) )
= e14 )
& ( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 )
& ( ( op1 @ ( op1 @ e10 @ e14 ) @ ( op1 @ e14 @ e10 ) )
= e14 )
& ( ( op1 @ ( op1 @ e14 @ e13 ) @ ( op1 @ e13 @ e14 ) )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e13 @ e12 ) )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e11 ) )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 )
& ( ( op1 @ ( op1 @ e14 @ e12 ) @ ( op1 @ e12 @ e14 ) )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e12 @ e13 ) )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e12 @ e10 ) )
= e12 )
& ( ( op1 @ ( op1 @ e14 @ e11 ) @ ( op1 @ e11 @ e14 ) )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e11 @ e12 ) )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e11 @ e10 ) )
= e11 )
& ( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e10 @ e13 ) )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e10 @ e12 ) )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e10 @ e11 ) )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ).
thf(zip_derived_cl99,plain,
( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl497,plain,
( e13
= ( op1 @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl499_211,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16195_212,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl499_213,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16195_214,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl17096,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17096_215,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17097,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl19414_216,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19427_217,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl19427_218,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl503_219,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl19427_220,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl20164_221,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl22656_222,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl19427_223,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl17363_224,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl18434_225,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18433,zip_derived_cl17371,zip_derived_cl417,zip_derived_cl414]) ).
thf(zip_derived_cl22656_226,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl22665,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( e24 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18434,zip_derived_cl22656]) ).
thf(zip_derived_cl410_227,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22666,plain,
( ( op2 @ e24 @ e23 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22665,zip_derived_cl410]) ).
thf(zip_derived_cl19427_228,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl19414_229,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl16198_230,plain,
( e20
= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl20164_231,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl509_232,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl22656_233,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl18910_234,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18909,zip_derived_cl412,zip_derived_cl410,zip_derived_cl417]) ).
thf(zip_derived_cl19459_235,plain,
( ( op2 @ ( h1 @ e12 ) @ ( op2 @ e23 @ e21 ) )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl19416]) ).
thf(zip_derived_cl19636,plain,
( ( ( op2 @ ( h1 @ e12 ) @ e23 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18910,zip_derived_cl19459]) ).
thf(zip_derived_cl20164_236,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20189,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19636,zip_derived_cl20164]) ).
thf(zip_derived_cl18434_237,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18433,zip_derived_cl17371,zip_derived_cl417,zip_derived_cl414]) ).
thf(zip_derived_cl361,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18439,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18434,zip_derived_cl361]) ).
thf(zip_derived_cl20732,plain,
( ( e23 != e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20189,zip_derived_cl18439]) ).
thf(zip_derived_cl20736,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20732]) ).
thf(zip_derived_cl22675,plain,
( ( e24 = e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22656,zip_derived_cl20736]) ).
thf(zip_derived_cl410_238,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22679,plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22675,zip_derived_cl410]) ).
thf(zip_derived_cl152,plain,
( ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl517_239,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl18824,plain,
( ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl517]) ).
thf(zip_derived_cl351,plain,
( ( op2 @ e22 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl503_240,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16810,plain,
( ( op2 @ e22 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl503]) ).
thf(zip_derived_cl18825,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18824,zip_derived_cl16810]) ).
thf(zip_derived_cl368,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17365_241,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16207,zip_derived_cl17363]) ).
thf(zip_derived_cl17436,plain,
( ( h1 @ e10 )
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl17365]) ).
thf(zip_derived_cl19414_242,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19420,plain,
( e21
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17436,zip_derived_cl19414]) ).
thf(zip_derived_cl19443,plain,
( ( e21 != e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( h3 @ e11 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18825,zip_derived_cl19420]) ).
thf(zip_derived_cl19445,plain,
( ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19443]) ).
thf(zip_derived_cl20628_243,plain,
( ( h3 @ e11 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20627,zip_derived_cl20543,zip_derived_cl20173]) ).
thf(zip_derived_cl20659,plain,
( ( e22 = e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19445,zip_derived_cl20628]) ).
thf(zip_derived_cl415_244,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20660,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20659,zip_derived_cl415]) ).
thf(zip_derived_cl22784,plain,
( ( e23 = e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22679,zip_derived_cl20660]) ).
thf(zip_derived_cl414_245,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22787,plain,
( ( op2 @ e22 @ e20 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22784,zip_derived_cl414]) ).
thf(zip_derived_cl20164_246,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl19427_247,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl133,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16360_248,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl18490,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl16360]) ).
thf(zip_derived_cl17382_249,plain,
( e20
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16665,zip_derived_cl17367]) ).
thf(zip_derived_cl18491,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18490,zip_derived_cl17382]) ).
thf(zip_derived_cl503_250,plain,
( e21
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl18492,plain,
( ( e21 = e20 )
| ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18491,zip_derived_cl503]) ).
thf(zip_derived_cl419_251,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18493,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18492,zip_derived_cl419]) ).
thf(zip_derived_cl20427_252,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl20444,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( e23 = e20 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl18493,zip_derived_cl20427]) ).
thf(zip_derived_cl417_253,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20445,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20444,zip_derived_cl417]) ).
thf(zip_derived_cl22714_254,plain,
( ( op2 @ e20 @ e24 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl22713]) ).
thf(zip_derived_cl22813,plain,
( ( e24 = e20 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl20445,zip_derived_cl22714]) ).
thf(zip_derived_cl416_255,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22814,plain,
( ( op2 @ e22 @ e24 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22813,zip_derived_cl416]) ).
thf(zip_derived_cl20164_256,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20164_257,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl517_258,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl20628_259,plain,
( ( h3 @ e11 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20627,zip_derived_cl20543,zip_derived_cl20173]) ).
thf(zip_derived_cl20629,plain,
( e22
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl20628]) ).
thf(zip_derived_cl20164_260,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl17363_261,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl22668_262,plain,
( ( op2 @ e22 @ e23 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl22667]) ).
thf(zip_derived_cl20164_263,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl19414_264,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl22679_265,plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22675,zip_derived_cl410]) ).
thf(zip_derived_cl17363_266,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl509_267,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17379_268,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl17367]) ).
thf(zip_derived_cl20429_269,plain,
( ( h4 @ e10 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16402,zip_derived_cl20427,zip_derived_cl17379]) ).
thf(zip_derived_cl20483,plain,
( e24
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17379,zip_derived_cl20429]) ).
thf(zip_derived_cl17363_270,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl19427_271,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl20517_272,plain,
( ( op2 @ e23 @ e24 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20516,zip_derived_cl20435]) ).
thf(zip_derived_cl17363_273,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl20164_274,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl22656_275,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl147,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl517_276,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl18715,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl517]) ).
thf(zip_derived_cl348,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl507_277,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16804,plain,
( ( h1 @ e11 )
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl507]) ).
thf(zip_derived_cl17363_278,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17370,plain,
( e23
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl16804,zip_derived_cl17363]) ).
thf(zip_derived_cl18716,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18715,zip_derived_cl17370]) ).
thf(zip_derived_cl20628_279,plain,
( ( h3 @ e11 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20627,zip_derived_cl20543,zip_derived_cl20173]) ).
thf(zip_derived_cl20648,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( e22 = e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18716,zip_derived_cl20628]) ).
thf(zip_derived_cl331,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16360_280,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl16736,plain,
( ( op2 @ e21 @ e22 )
!= ( h2 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl16360]) ).
thf(zip_derived_cl20427_281,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl20431,plain,
( ( op2 @ e21 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl16736,zip_derived_cl20427]) ).
thf(zip_derived_cl412_282,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20649,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20648,zip_derived_cl20431,zip_derived_cl412]) ).
thf(zip_derived_cl22674,plain,
( ( e24 = e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22656,zip_derived_cl20649]) ).
thf(zip_derived_cl410_283,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22678,plain,
( ( op2 @ e23 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22674,zip_derived_cl410]) ).
thf(zip_derived_cl75,plain,
( ( op1 @ ( op1 @ e14 @ e14 ) @ ( op1 @ e14 @ e14 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl499_284,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl499_285,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16220,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl509_286,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17363_287,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17363_288,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl17378_289,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl17367]) ).
thf(zip_derived_cl17363_290,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl19414_291,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl22656_292,plain,
( ( op2 @ e24 @ e22 )
= e24 ),
inference(clc,[status(thm)],[zip_derived_cl22615,zip_derived_cl20551]) ).
thf(zip_derived_cl20187_293,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19634,zip_derived_cl20164]) ).
thf(zip_derived_cl18439_294,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18434,zip_derived_cl361]) ).
thf(zip_derived_cl20356,plain,
( ( e23 != e23 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20187,zip_derived_cl18439]) ).
thf(zip_derived_cl20363,plain,
( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20356]) ).
thf(zip_derived_cl22673,plain,
( ( e24 = e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22656,zip_derived_cl20363]) ).
thf(zip_derived_cl410_295,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22677,plain,
( ( op2 @ e23 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22673,zip_derived_cl410]) ).
thf(zip_derived_cl19414_296,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl509_297,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl22679_298,plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22675,zip_derived_cl410]) ).
thf(zip_derived_cl119,plain,
( ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl17374_299,plain,
( e23
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16924,zip_derived_cl17363]) ).
thf(zip_derived_cl339,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16359_300,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl16772,plain,
( ( op2 @ e21 @ e20 )
!= e24 ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl16359]) ).
thf(zip_derived_cl18329,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl119,zip_derived_cl17374,zip_derived_cl16772]) ).
thf(zip_derived_cl337,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19416_301,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl19462,plain,
( ( op2 @ e21 @ e20 )
!= ( h1 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl19416]) ).
thf(zip_derived_cl20164_302,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20171,plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl19462,zip_derived_cl20164]) ).
thf(zip_derived_cl20205,plain,
( ( e22 != e22 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18329,zip_derived_cl20171]) ).
thf(zip_derived_cl20207,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20205]) ).
thf(zip_derived_cl16962_303,plain,
( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl16961]) ).
thf(zip_derived_cl20791,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20207,zip_derived_cl16962]) ).
thf(zip_derived_cl22785,plain,
( ( e23 = e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22679,zip_derived_cl20791]) ).
thf(zip_derived_cl414_304,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22788,plain,
( ( op2 @ e21 @ e20 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22785,zip_derived_cl414]) ).
thf(zip_derived_cl19414_305,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19427_306,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl16360_307,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16208,zip_derived_cl16358]) ).
thf(zip_derived_cl20427_308,plain,
( ( h2 @ e10 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20426,zip_derived_cl414]) ).
thf(zip_derived_cl20428,plain,
( e23
= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16360,zip_derived_cl20427]) ).
thf(zip_derived_cl19414_309,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl20164_310,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20169_311,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ e22 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl19460,zip_derived_cl20164]) ).
thf(zip_derived_cl22677_312,plain,
( ( op2 @ e23 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22673,zip_derived_cl410]) ).
thf(zip_derived_cl22733,plain,
( ( op2 @ e21 @ e22 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl20169,zip_derived_cl22677]) ).
thf(zip_derived_cl498,plain,
( e12
= ( op1 @ ( op1 @ e14 @ ( op1 @ e14 @ e14 ) ) @ ( op1 @ e14 @ e14 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl499_313,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16195_314,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl499_315,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16925,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl20164_316,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl19414_317,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl17363_318,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl19416_319,plain,
( ( h1 @ e12 )
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17376,zip_derived_cl19414]) ).
thf(zip_derived_cl20164_320,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl20167,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19416,zip_derived_cl20164]) ).
thf(zip_derived_cl17096_321,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl19427_322,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl19414_323,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl19414_324,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl16359_325,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl16358]) ).
thf(zip_derived_cl24263,plain,
( ( e24 != e24 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e23 != e23 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( e21 != e21 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( e21 != e21 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( e20 != e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( e22 != e22 )
| ( e24 != e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1330,zip_derived_cl19427,zip_derived_cl17363,zip_derived_cl20164,zip_derived_cl19414,zip_derived_cl509,zip_derived_cl499,zip_derived_cl17363,zip_derived_cl509,zip_derived_cl509,zip_derived_cl17364,zip_derived_cl509,zip_derived_cl19427,zip_derived_cl22714,zip_derived_cl509,zip_derived_cl20164,zip_derived_cl22793,zip_derived_cl16195,zip_derived_cl19414,zip_derived_cl509,zip_derived_cl17363,zip_derived_cl19415,zip_derived_cl509,zip_derived_cl19414,zip_derived_cl16961,zip_derived_cl19427,zip_derived_cl509,zip_derived_cl20495,zip_derived_cl17097,zip_derived_cl19414,zip_derived_cl19427,zip_derived_cl19427,zip_derived_cl503,zip_derived_cl19427,zip_derived_cl20164,zip_derived_cl22656,zip_derived_cl19427,zip_derived_cl17363,zip_derived_cl22666,zip_derived_cl19427,zip_derived_cl19414,zip_derived_cl16198,zip_derived_cl20164,zip_derived_cl509,zip_derived_cl22787,zip_derived_cl20164,zip_derived_cl19427,zip_derived_cl22814,zip_derived_cl20164,zip_derived_cl20164,zip_derived_cl20629,zip_derived_cl20164,zip_derived_cl17363,zip_derived_cl22668,zip_derived_cl20164,zip_derived_cl19414,zip_derived_cl22679,zip_derived_cl17363,zip_derived_cl509,zip_derived_cl20483,zip_derived_cl17363,zip_derived_cl19427,zip_derived_cl20517,zip_derived_cl17363,zip_derived_cl20164,zip_derived_cl22678,zip_derived_cl16220,zip_derived_cl509,zip_derived_cl17363,zip_derived_cl17363,zip_derived_cl17378,zip_derived_cl17363,zip_derived_cl19414,zip_derived_cl22677,zip_derived_cl19414,zip_derived_cl509,zip_derived_cl22788,zip_derived_cl19414,zip_derived_cl19427,zip_derived_cl20428,zip_derived_cl19414,zip_derived_cl20164,zip_derived_cl22733,zip_derived_cl16925,zip_derived_cl20164,zip_derived_cl19414,zip_derived_cl17363,zip_derived_cl20167,zip_derived_cl17096,zip_derived_cl19427,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl24264,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24263]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl21,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl20,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(ax7,axiom,
( ( ( op1 @ e14 @ e13 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e13 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl256,plain,
( ( op1 @ e10 @ e14 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_326,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16444,plain,
( ( op1 @ e10 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl499]) ).
thf(zip_derived_cl16485,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl16444]) ).
thf(ax2,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl36,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl284,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16220_327,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16547,plain,
( e14
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl16220]) ).
thf(zip_derived_cl17057,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36,zip_derived_cl16547]) ).
thf(zip_derived_cl17097_328,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17138,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( e10 = e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17057,zip_derived_cl17097]) ).
thf(ax9,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl406,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17139,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17138,zip_derived_cl406]) ).
thf(zip_derived_cl257,plain,
( ( op1 @ e10 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17347,plain,
( ( ( op1 @ e10 @ e14 )
!= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17139,zip_derived_cl257]) ).
thf(zip_derived_cl23625,plain,
( ( e14 != e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16485,zip_derived_cl17347]) ).
thf(zip_derived_cl23628,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23625]) ).
thf(zip_derived_cl243,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16925_329,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16928,plain,
( e12
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl16925]) ).
thf(zip_derived_cl246,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17096_330,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17098,plain,
( e13
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl17096]) ).
thf(zip_derived_cl23629,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23628,zip_derived_cl16928,zip_derived_cl17098]) ).
thf(zip_derived_cl16485_331,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl16444]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl35,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl234,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16220_332,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16399,plain,
( e14
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl16220]) ).
thf(zip_derived_cl16974,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl16399]) ).
thf(zip_derived_cl17097_333,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17132,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( e10 = e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16974,zip_derived_cl17097]) ).
thf(zip_derived_cl406_334,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17133,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17132,zip_derived_cl406]) ).
thf(zip_derived_cl207,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17277,plain,
( ( ( op1 @ e14 @ e10 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17133,zip_derived_cl207]) ).
thf(zip_derived_cl23556,plain,
( ( e14 != e14 )
| ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl17277]) ).
thf(zip_derived_cl23561,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23556]) ).
thf(zip_derived_cl209,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16195_335,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16308,plain,
( ( op1 @ e14 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl16195]) ).
thf(zip_derived_cl206,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_336,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16301,plain,
( ( op1 @ e14 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl499]) ).
thf(zip_derived_cl296,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e14 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17096_337,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17101,plain,
( e13
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17096]) ).
thf(zip_derived_cl23562,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23561,zip_derived_cl16308,zip_derived_cl16301,zip_derived_cl17101]) ).
thf(zip_derived_cl227,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl25475,plain,
( ( ( op1 @ e12 @ e10 )
!= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23562,zip_derived_cl227]) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl233,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16220_338,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16396,plain,
( e14
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl16220]) ).
thf(zip_derived_cl16397,plain,
( ( e14 != e14 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16396]) ).
thf(zip_derived_cl16398,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16397]) ).
thf(zip_derived_cl253,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_339,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16435,plain,
( ( op1 @ e11 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl499]) ).
thf(zip_derived_cl17046,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16398,zip_derived_cl16435]) ).
thf(zip_derived_cl78,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16195_340,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16237,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl17051,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17046,zip_derived_cl16237]) ).
thf(zip_derived_cl16237_341,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl17191,plain,
( ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17051,zip_derived_cl16237]) ).
thf(zip_derived_cl16237_342,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl17518,plain,
( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17191,zip_derived_cl16237]) ).
thf(zip_derived_cl17096_343,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17525,plain,
( ( e13 = e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17518,zip_derived_cl17096]) ).
thf(zip_derived_cl400,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17526,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17525,zip_derived_cl400]) ).
thf(zip_derived_cl4_344,plain,
( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl290,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e14 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16589,plain,
( ( ( op1 @ e13 @ e10 )
!= e14 )
| ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl290]) ).
thf(zip_derived_cl16301_345,plain,
( ( op1 @ e14 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl499]) ).
thf(zip_derived_cl16308_346,plain,
( ( op1 @ e14 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl16195]) ).
thf(zip_derived_cl16590,plain,
( ( ( op1 @ e13 @ e10 )
!= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16589,zip_derived_cl16301,zip_derived_cl16308]) ).
thf(zip_derived_cl17537,plain,
( ( e14 != e14 )
| ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17526,zip_derived_cl16590]) ).
thf(zip_derived_cl17542,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17537]) ).
thf(zip_derived_cl17101_347,plain,
( e13
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17096]) ).
thf(zip_derived_cl17543,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17542,zip_derived_cl17101]) ).
thf(zip_derived_cl25506,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl25475,zip_derived_cl17543]) ).
thf(zip_derived_cl79,plain,
( ( op1 @ ( op1 @ e10 @ e14 ) @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl25508,plain,
( ( ( op1 @ ( op1 @ e10 @ e14 ) @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl25506,zip_derived_cl79]) ).
thf(zip_derived_cl25958,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16485,zip_derived_cl25508]) ).
thf(zip_derived_cl17098_348,plain,
( e13
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl17096]) ).
thf(zip_derived_cl16928_349,plain,
( e12
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl16925]) ).
thf(zip_derived_cl25961,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25958,zip_derived_cl17098,zip_derived_cl16928]) ).
thf(zip_derived_cl270,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl28117,plain,
( ( ( op1 @ e13 @ e12 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25961,zip_derived_cl270]) ).
thf(zip_derived_cl28168,plain,
( ( e14 != e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23629,zip_derived_cl28117]) ).
thf(zip_derived_cl28173,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28168]) ).
thf(zip_derived_cl241,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl30812,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28173,zip_derived_cl241]) ).
thf(zip_derived_cl17051_350,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17046,zip_derived_cl16237]) ).
thf(zip_derived_cl90,plain,
( ( op1 @ ( op1 @ e14 @ e11 ) @ ( op1 @ e11 @ e14 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16195_351,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16313,plain,
( ( op1 @ e10 @ ( op1 @ e11 @ e14 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl16195]) ).
thf(zip_derived_cl17192,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17051,zip_derived_cl16313]) ).
thf(zip_derived_cl16237_352,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl17617,plain,
( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17192,zip_derived_cl16237]) ).
thf(zip_derived_cl17096_353,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17624,plain,
( ( e13 = e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl17617,zip_derived_cl17096]) ).
thf(zip_derived_cl400_354,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17625,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17624,zip_derived_cl400]) ).
thf(zip_derived_cl74,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16925_355,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl17096_356,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl18102,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( e12 = e10 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl16925,zip_derived_cl17096]) ).
thf(zip_derived_cl407,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl408,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl267,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17097_357,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17121,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl17097]) ).
thf(zip_derived_cl18103,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18102,zip_derived_cl407,zip_derived_cl408,zip_derived_cl17121]) ).
thf(zip_derived_cl4_358,plain,
( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl95,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16341,plain,
( ( ( op1 @ e14 @ ( op1 @ e10 @ e14 ) )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl95]) ).
thf(zip_derived_cl16301_359,plain,
( ( op1 @ e14 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl499]) ).
thf(zip_derived_cl16308_360,plain,
( ( op1 @ e14 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl16195]) ).
thf(zip_derived_cl16342,plain,
( ( ( op1 @ e14 @ ( op1 @ e10 @ e14 ) )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16341,zip_derived_cl16301,zip_derived_cl16308]) ).
thf(zip_derived_cl18109,plain,
( ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18103,zip_derived_cl16342]) ).
thf(zip_derived_cl17101_361,plain,
( e13
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17096]) ).
thf(zip_derived_cl16308_362,plain,
( ( op1 @ e14 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl16195]) ).
thf(zip_derived_cl18118,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18109,zip_derived_cl17101,zip_derived_cl16308]) ).
thf(zip_derived_cl18103_363,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18102,zip_derived_cl407,zip_derived_cl408,zip_derived_cl17121]) ).
thf(zip_derived_cl95_364,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18105,plain,
( ( ( op1 @ ( op1 @ e14 @ e10 ) @ e10 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18103,zip_derived_cl95]) ).
thf(zip_derived_cl24840,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18118,zip_derived_cl18105]) ).
thf(zip_derived_cl24843,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24840]) ).
thf(zip_derived_cl53,plain,
( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl212,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17097_365,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17115,plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl17097]) ).
thf(zip_derived_cl205,plain,
( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16195_366,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16287,plain,
( e10
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl16195]) ).
thf(zip_derived_cl17796,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53,zip_derived_cl17115,zip_derived_cl16287]) ).
thf(zip_derived_cl228,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17801,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17796,zip_derived_cl228]) ).
thf(zip_derived_cl24855,plain,
( ( e10 != e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24843,zip_derived_cl17801]) ).
thf(zip_derived_cl24863,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24855]) ).
thf(zip_derived_cl61,plain,
( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16195_367,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16220_368,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16925_369,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl17907,plain,
( ( e10 = e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( e14 = e11 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl16195,zip_derived_cl16220,zip_derived_cl16925]) ).
thf(zip_derived_cl405,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl403,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl409,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17908,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17907,zip_derived_cl405,zip_derived_cl403,zip_derived_cl409]) ).
thf(zip_derived_cl57,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16195_370,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16220_371,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16925_372,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl17847,plain,
( ( e10 = e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( e14 = e13 )
| ( e12 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl16195,zip_derived_cl16220,zip_derived_cl16925]) ).
thf(zip_derived_cl402,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl400_373,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl407_374,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17848,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17847,zip_derived_cl402,zip_derived_cl400,zip_derived_cl407]) ).
thf(zip_derived_cl17919,plain,
( ( e11 = e13 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17908,zip_derived_cl17848]) ).
thf(zip_derived_cl404,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17922,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17919,zip_derived_cl404]) ).
thf(zip_derived_cl88,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18079,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17922,zip_derived_cl88]) ).
thf(zip_derived_cl24893,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24863,zip_derived_cl18079]) ).
thf(zip_derived_cl244,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16925_375,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16929,plain,
( e12
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl16925]) ).
thf(zip_derived_cl24905,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24893,zip_derived_cl16929]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17097_376,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17448,plain,
( ( ( op1 @ e14 @ e13 )
= e11 )
| ( e10 = e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl17097]) ).
thf(zip_derived_cl409_377,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl200,plain,
( ( op1 @ e14 @ e13 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_378,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16176,plain,
( ( op1 @ e14 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl499]) ).
thf(zip_derived_cl17449,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17448,zip_derived_cl409,zip_derived_cl16176]) ).
thf(zip_derived_cl224,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17454,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17449,zip_derived_cl224]) ).
thf(zip_derived_cl24936,plain,
( ( e11 != e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24905,zip_derived_cl17454]) ).
thf(zip_derived_cl24941,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24936]) ).
thf(zip_derived_cl237,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl27368,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24941,zip_derived_cl237]) ).
thf(zip_derived_cl24905_379,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24893,zip_derived_cl16929]) ).
thf(zip_derived_cl24863_380,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24855]) ).
thf(zip_derived_cl92,plain,
( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e11 @ e12 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl24882,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e10 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24863,zip_derived_cl92]) ).
thf(zip_derived_cl25149,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24905,zip_derived_cl24882]) ).
thf(zip_derived_cl25151,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25149]) ).
thf(zip_derived_cl27446,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl27368,zip_derived_cl25151]) ).
thf(zip_derived_cl84,plain,
( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl27448,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27446,zip_derived_cl84]) ).
thf(zip_derived_cl27663,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17625,zip_derived_cl27448]) ).
thf(zip_derived_cl27446_381,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl27368,zip_derived_cl25151]) ).
thf(zip_derived_cl242,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl27450,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27446,zip_derived_cl242]) ).
thf(zip_derived_cl30114,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference(clc,[status(thm)],[zip_derived_cl27663,zip_derived_cl27450]) ).
thf(zip_derived_cl16237_382,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl30119,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30114,zip_derived_cl16237]) ).
thf(zip_derived_cl30866,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl30812,zip_derived_cl30119]) ).
thf(zip_derived_cl84_383,plain,
( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl30867,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30866,zip_derived_cl84]) ).
thf(zip_derived_cl31108,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl30867]) ).
thf(zip_derived_cl499_384,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl31115,plain,
( ( e11 = e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl31108,zip_derived_cl499]) ).
thf(zip_derived_cl247,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17096_385,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17099,plain,
( e13
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl17096]) ).
thf(zip_derived_cl16929_386,plain,
( e12
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl16925]) ).
thf(zip_derived_cl17121_387,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl17097]) ).
thf(zip_derived_cl404_388,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31116,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31115,zip_derived_cl17099,zip_derived_cl16929,zip_derived_cl17121,zip_derived_cl404]) ).
thf(zip_derived_cl16485_389,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl16444]) ).
thf(zip_derived_cl240,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16488,plain,
( ( ( op1 @ e10 @ e13 )
!= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16485,zip_derived_cl240]) ).
thf(zip_derived_cl31121,plain,
( ( e14 != e14 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31116,zip_derived_cl16488]) ).
thf(zip_derived_cl31147,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31121]) ).
thf(zip_derived_cl17098_390,plain,
( e13
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl17096]) ).
thf(zip_derived_cl16928_391,plain,
( e12
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl16925]) ).
thf(zip_derived_cl31148,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31147,zip_derived_cl17098,zip_derived_cl16928]) ).
thf(zip_derived_cl241_392,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31177,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31148,zip_derived_cl241]) ).
thf(zip_derived_cl27446_393,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl27368,zip_derived_cl25151]) ).
thf(zip_derived_cl31230,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl17363_394,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl31269,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( e23 != e23 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl24264,zip_derived_cl31230,zip_derived_cl17363]) ).
thf(zip_derived_cl31270,plain,
( ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31269]) ).
thf(zip_derived_cl25506_395,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl25475,zip_derived_cl17543]) ).
thf(zip_derived_cl31230_396,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31271,plain,
( ( e11 = e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl25506,zip_derived_cl31230]) ).
thf(zip_derived_cl403_397,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31272,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31271,zip_derived_cl403]) ).
thf(zip_derived_cl20164_398,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl30866_399,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl30812,zip_derived_cl30119]) ).
thf(zip_derived_cl31230_400,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31359,plain,
( ( e11 = e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl30866,zip_derived_cl31230]) ).
thf(zip_derived_cl403_401,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31360,plain,
( ( op1 @ e13 @ e10 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31359,zip_derived_cl403]) ).
thf(zip_derived_cl509_402,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl30867_403,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30866,zip_derived_cl84]) ).
thf(zip_derived_cl31230_404,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31230_405,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31361,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( e11 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl30867,zip_derived_cl31230,zip_derived_cl31230]) ).
thf(zip_derived_cl403_406,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31362,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31361,zip_derived_cl403]) ).
thf(zip_derived_cl19427_407,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl16399_408,plain,
( e14
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl16220]) ).
thf(zip_derived_cl16403,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl16399]) ).
thf(zip_derived_cl230,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31362_409,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31361,zip_derived_cl403]) ).
thf(zip_derived_cl31540,plain,
( ( op1 @ e11 @ e13 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl31362]) ).
thf(zip_derived_cl31686,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16403,zip_derived_cl31540]) ).
thf(zip_derived_cl31692,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31686]) ).
thf(zip_derived_cl264,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17097_410,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17120,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl17097]) ).
thf(zip_derived_cl269,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31230_411,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31237,plain,
( e11
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl31230]) ).
thf(zip_derived_cl31693,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31692,zip_derived_cl17120,zip_derived_cl31237]) ).
thf(zip_derived_cl20164_412,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl32166,plain,
( ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( e20 != e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( e24 != e24 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl31270,zip_derived_cl31272,zip_derived_cl20164,zip_derived_cl31360,zip_derived_cl509,zip_derived_cl31362,zip_derived_cl19427,zip_derived_cl31693,zip_derived_cl20164]) ).
thf(zip_derived_cl32167,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32166]) ).
thf(zip_derived_cl5,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl216,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31360_413,plain,
( ( op1 @ e13 @ e10 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31359,zip_derived_cl403]) ).
thf(zip_derived_cl31466,plain,
( e14
!= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl31360]) ).
thf(zip_derived_cl31668,plain,
( ( e14 != e14 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl31466]) ).
thf(zip_derived_cl31671,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31668]) ).
thf(zip_derived_cl210,plain,
( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17097_414,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17114,plain,
( e10
!= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl17097]) ).
thf(zip_derived_cl250,plain,
( ( op1 @ e13 @ e14 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_415,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16426,plain,
( ( op1 @ e13 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl499]) ).
thf(zip_derived_cl31672,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31671,zip_derived_cl17114,zip_derived_cl16426]) ).
thf(zip_derived_cl254,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31362_416,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31361,zip_derived_cl403]) ).
thf(zip_derived_cl31543,plain,
( e13
!= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl31362]) ).
thf(zip_derived_cl32752,plain,
( ( op1 @ e13 @ e14 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31672,zip_derived_cl31543]) ).
thf(zip_derived_cl20164_417,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl32783,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl32167,zip_derived_cl32752,zip_derived_cl20164]) ).
thf(zip_derived_cl32784,plain,
( ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32783]) ).
thf(zip_derived_cl25961_418,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25958,zip_derived_cl17098,zip_derived_cl16928]) ).
thf(zip_derived_cl31230_419,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31285,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( e11 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl25961,zip_derived_cl31230]) ).
thf(zip_derived_cl403_420,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31286,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31285,zip_derived_cl403]) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl202,plain,
( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16270,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl202]) ).
thf(zip_derived_cl16176_421,plain,
( ( op1 @ e14 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl499]) ).
thf(zip_derived_cl16271,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16270,zip_derived_cl16176]) ).
thf(zip_derived_cl204,plain,
( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16195_422,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16273,plain,
( e10
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl16195]) ).
thf(zip_derived_cl16297,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16271,zip_derived_cl16273]) ).
thf(zip_derived_cl32115,plain,
( ( e14 != e14 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31286,zip_derived_cl16297]) ).
thf(zip_derived_cl32123,plain,
( ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32115]) ).
thf(zip_derived_cl207_423,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31272_424,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31271,zip_derived_cl403]) ).
thf(zip_derived_cl31393,plain,
( e12
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl31272]) ).
thf(zip_derived_cl32124,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32123,zip_derived_cl31393]) ).
thf(zip_derived_cl66,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16925_425,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl17096_426,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17972,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( e12 = e14 )
| ( e13 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl16925,zip_derived_cl17096]) ).
thf(zip_derived_cl400_427,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl401,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17973,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17972,zip_derived_cl400,zip_derived_cl401]) ).
thf(zip_derived_cl31230_428,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31261,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( e11 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17973,zip_derived_cl31230]) ).
thf(zip_derived_cl403_429,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31262,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31261,zip_derived_cl403]) ).
thf(zip_derived_cl24863_430,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24855]) ).
thf(zip_derived_cl88_431,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl24881,plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24863,zip_derived_cl88]) ).
thf(zip_derived_cl17848_432,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17847,zip_derived_cl402,zip_derived_cl400,zip_derived_cl407]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17097_433,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17218,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( e10 = e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl17097]) ).
thf(zip_derived_cl297,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17096_434,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17102,plain,
( e13
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl17096]) ).
thf(zip_derived_cl407_435,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17219,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17218,zip_derived_cl17102,zip_derived_cl407]) ).
thf(zip_derived_cl254_436,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17227,plain,
( ( ( op1 @ e11 @ e14 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17219,zip_derived_cl254]) ).
thf(zip_derived_cl31362_437,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31361,zip_derived_cl403]) ).
thf(zip_derived_cl31554,plain,
( ( e13 != e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17227,zip_derived_cl31362]) ).
thf(zip_derived_cl31555,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31554]) ).
thf(zip_derived_cl17908_438,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17907,zip_derived_cl405,zip_derived_cl403,zip_derived_cl409]) ).
thf(zip_derived_cl17973_439,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17972,zip_derived_cl400,zip_derived_cl401]) ).
thf(zip_derived_cl25506_440,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl25475,zip_derived_cl17543]) ).
thf(zip_derived_cl95_441,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl25509,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e14 ) )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl25506,zip_derived_cl95]) ).
thf(zip_derived_cl25964,plain,
( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17973,zip_derived_cl25509]) ).
thf(zip_derived_cl25967,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25964]) ).
thf(zip_derived_cl31230_442,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31291,plain,
( ( e11 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl25967,zip_derived_cl31230]) ).
thf(zip_derived_cl403_443,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31292,plain,
( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31291,zip_derived_cl403]) ).
thf(zip_derived_cl17973_444,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17972,zip_derived_cl400,zip_derived_cl401]) ).
thf(zip_derived_cl25508_445,plain,
( ( ( op1 @ ( op1 @ e10 @ e14 ) @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl25506,zip_derived_cl79]) ).
thf(zip_derived_cl25959,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17973,zip_derived_cl25508]) ).
thf(zip_derived_cl25962,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25959]) ).
thf(zip_derived_cl16974_446,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl16399]) ).
thf(zip_derived_cl202_447,plain,
( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16977,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16974,zip_derived_cl202]) ).
thf(zip_derived_cl17097_448,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl17096,zip_derived_cl17096]) ).
thf(zip_derived_cl17134,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( e10 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16977,zip_derived_cl17097]) ).
thf(zip_derived_cl406_449,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17135,plain,
( ( ( op1 @ e14 @ e12 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17134,zip_derived_cl406]) ).
thf(zip_derived_cl28252,plain,
( ( e14 != e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25962,zip_derived_cl17135]) ).
thf(zip_derived_cl28264,plain,
( ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28252]) ).
thf(zip_derived_cl31230_450,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31321,plain,
( ( ( op1 @ e12 @ e13 )
= e14 )
| ( e11 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl28264,zip_derived_cl31230]) ).
thf(zip_derived_cl403_451,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31322,plain,
( ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31321,zip_derived_cl403]) ).
thf(zip_derived_cl17922_452,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17919,zip_derived_cl404]) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl499_453,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16195_454,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16774,plain,
( ( e11 = e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( e10 = e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl407_455,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl404_456,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16775,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16774,zip_derived_cl407,zip_derived_cl404]) ).
thf(zip_derived_cl31272_457,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31271,zip_derived_cl403]) ).
thf(zip_derived_cl31409,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( e12 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl16775,zip_derived_cl31272]) ).
thf(zip_derived_cl402_458,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31410,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31409,zip_derived_cl402]) ).
thf(zip_derived_cl19,plain,
( ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl239,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16220_459,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl16413,plain,
( ( op1 @ e11 @ e10 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl16220]) ).
thf(zip_derived_cl16452,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19,zip_derived_cl16413]) ).
thf(zip_derived_cl299,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16639,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16452,zip_derived_cl299]) ).
thf(zip_derived_cl17096_460,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17109,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl16639,zip_derived_cl17096]) ).
thf(zip_derived_cl17110,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17109]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e10 @ e11 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16925_461,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16927,plain,
( ( op1 @ ( op1 @ e11 @ e10 ) @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl16925]) ).
thf(zip_derived_cl17214,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17110,zip_derived_cl16927]) ).
thf(zip_derived_cl17110_462,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17109]) ).
thf(zip_derived_cl94,plain,
( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e11 @ e10 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16925_463,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16926,plain,
( ( op1 @ e12 @ ( op1 @ e11 @ e10 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl16925]) ).
thf(zip_derived_cl17213,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17110,zip_derived_cl16926]) ).
thf(zip_derived_cl23836,plain,
( ( e10 = e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17214,zip_derived_cl17213]) ).
thf(zip_derived_cl23840,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( e10 = e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23836]) ).
thf(zip_derived_cl409_464,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl23841,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23840,zip_derived_cl409]) ).
thf(ax12,axiom,
( ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e14 @ e10 )
!= e14 ) )
| ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e14 @ e11 )
!= e14 ) )
| ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e14 @ e12 )
!= e14 ) )
| ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e14 @ e13 )
!= e14 ) )
| ( ( ( op1 @ e10 @ e14 )
!= e10 )
& ( ( op1 @ e11 @ e14 )
!= e11 )
& ( ( op1 @ e12 @ e14 )
!= e12 )
& ( ( op1 @ e13 @ e14 )
!= e13 )
& ( ( op1 @ e14 @ e14 )
!= e14 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_4: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e14 @ e14 )
!= e14 )
& ( ( op1 @ e13 @ e14 )
!= e13 )
& ( ( op1 @ e12 @ e14 )
!= e12 )
& ( ( op1 @ e11 @ e14 )
!= e11 )
& ( ( op1 @ e10 @ e14 )
!= e10 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_3: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e14 @ e13 )
!= e14 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_2: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e14 @ e12 )
!= e14 )
& ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_1: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e14 @ e11 )
!= e14 )
& ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_0: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e14 @ e10 )
!= e14 )
& ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) ) ) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl470,plain,
( zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl18103_465,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18102,zip_derived_cl407,zip_derived_cl408,zip_derived_cl17121]) ).
thf(zip_derived_cl469,plain,
( ( ( op1 @ e10 @ e14 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl18108,plain,
( ( e10 != e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl18103,zip_derived_cl469]) ).
thf(zip_derived_cl18117,plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18108]) ).
thf(zip_derived_cl18187,plain,
( zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl18117]) ).
thf(zip_derived_cl64,plain,
( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16220_466,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl17945,plain,
( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( e14 = e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl16220]) ).
thf(zip_derived_cl406_467,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17120_468,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl17097]) ).
thf(zip_derived_cl17946,plain,
( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17945,zip_derived_cl406,zip_derived_cl17120]) ).
thf(zip_derived_cl16237_469,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl16195]) ).
thf(zip_derived_cl17951,plain,
( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17946,zip_derived_cl16237]) ).
thf(zip_derived_cl17096_470,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl17960,plain,
( ( e13 = e14 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl17951,zip_derived_cl17096]) ).
thf(zip_derived_cl400_471,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17961,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17960,zip_derived_cl400]) ).
thf(zip_derived_cl279,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl18092,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17961,zip_derived_cl279]) ).
thf(zip_derived_cl18739,plain,
( ( e10 != e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18187,zip_derived_cl18092]) ).
thf(zip_derived_cl18743,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl18739]) ).
thf(zip_derived_cl23854,plain,
( ( e11 = e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl23841,zip_derived_cl18743]) ).
thf(zip_derived_cl409_472,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl23857,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23854,zip_derived_cl409]) ).
thf(zip_derived_cl23841_473,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23840,zip_derived_cl409]) ).
thf(zip_derived_cl448,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl23844,plain,
( ( e11 != e11 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference('sup-',[status(thm)],[zip_derived_cl23841,zip_derived_cl448]) ).
thf(zip_derived_cl23856,plain,
( ~ zip_tseitin_0
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23844]) ).
thf(zip_derived_cl23922,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl23857,zip_derived_cl23856]) ).
thf(zip_derived_cl16926_474,plain,
( ( op1 @ e12 @ ( op1 @ e11 @ e10 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl16925]) ).
thf(zip_derived_cl23925,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl23922,zip_derived_cl16926]) ).
thf(zip_derived_cl72,plain,
( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16925_475,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl17096_476,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499,zip_derived_cl16195]) ).
thf(zip_derived_cl18051,plain,
( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( e12 = e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl16925,zip_derived_cl17096]) ).
thf(zip_derived_cl404_477,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl405_478,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16444_479,plain,
( ( op1 @ e10 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl499]) ).
thf(zip_derived_cl18052,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18051,zip_derived_cl404,zip_derived_cl405,zip_derived_cl16444]) ).
thf(zip_derived_cl17625_480,plain,
( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17624,zip_derived_cl400]) ).
thf(zip_derived_cl84_481,plain,
( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17632,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e14 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17625,zip_derived_cl84]) ).
thf(zip_derived_cl24309,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18052,zip_derived_cl17632]) ).
thf(zip_derived_cl24313,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24309]) ).
thf(zip_derived_cl16403_482,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl16399]) ).
thf(zip_derived_cl24313_483,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24309]) ).
thf(zip_derived_cl230_484,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl24314,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24313,zip_derived_cl230]) ).
thf(zip_derived_cl24336,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16403,zip_derived_cl24314]) ).
thf(zip_derived_cl24338,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24336]) ).
thf(zip_derived_cl17120_485,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl17097]) ).
thf(zip_derived_cl24339,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24338,zip_derived_cl17120]) ).
thf(zip_derived_cl23925_486,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl23922,zip_derived_cl16926]) ).
thf(zip_derived_cl16403_487,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl16399]) ).
thf(zip_derived_cl17908_488,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17907,zip_derived_cl405,zip_derived_cl403,zip_derived_cl409]) ).
thf(zip_derived_cl91,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17910,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17908,zip_derived_cl91]) ).
thf(zip_derived_cl24581,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16403,zip_derived_cl17910]) ).
thf(zip_derived_cl24585,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24581]) ).
thf(zip_derived_cl17120_489,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl17097]) ).
thf(zip_derived_cl24586,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24585,zip_derived_cl17120]) ).
thf(zip_derived_cl17910_490,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17908,zip_derived_cl91]) ).
thf(zip_derived_cl26994,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24586,zip_derived_cl17910]) ).
thf(zip_derived_cl27013,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26994]) ).
thf(zip_derived_cl17908_491,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17907,zip_derived_cl405,zip_derived_cl403,zip_derived_cl409]) ).
thf(zip_derived_cl83,plain,
( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e11 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17909,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17908,zip_derived_cl83]) ).
thf(zip_derived_cl29053,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27013,zip_derived_cl17909]) ).
thf(zip_derived_cl16220_492,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl499,zip_derived_cl499]) ).
thf(zip_derived_cl29070,plain,
( ( e14 = e13 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl29053,zip_derived_cl16220]) ).
thf(zip_derived_cl29071,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( e14 = e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29070]) ).
thf(zip_derived_cl400_493,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl29072,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29071,zip_derived_cl400]) ).
thf(zip_derived_cl229,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl29085,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29072,zip_derived_cl229]) ).
thf(zip_derived_cl29130,plain,
( ( e11 != e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23925,zip_derived_cl29085]) ).
thf(zip_derived_cl29134,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl29130]) ).
thf(zip_derived_cl23922_494,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl23857,zip_derived_cl23856]) ).
thf(zip_derived_cl17973_495,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17972,zip_derived_cl400,zip_derived_cl401]) ).
thf(zip_derived_cl18052_496,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18051,zip_derived_cl404,zip_derived_cl405,zip_derived_cl16444]) ).
thf(zip_derived_cl23922_497,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl23857,zip_derived_cl23856]) ).
thf(zip_derived_cl16927_498,plain,
( ( op1 @ ( op1 @ e11 @ e10 ) @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl16925]) ).
thf(zip_derived_cl23926,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl23922,zip_derived_cl16927]) ).
thf(zip_derived_cl24264_499,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24263]) ).
thf(zip_derived_cl24266,plain,
( ( ( h1 @ e10 )
!= e21 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23926,zip_derived_cl24264]) ).
thf(zip_derived_cl19414_500,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl24269,plain,
( ( e21 != e21 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl24266,zip_derived_cl19414]) ).
thf(zip_derived_cl24270,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl24269]) ).
thf(zip_derived_cl24272,plain,
( ( ( h1 @ e11 )
!= e23 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18052,zip_derived_cl24270]) ).
thf(zip_derived_cl17363_501,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl24276,plain,
( ( e23 != e23 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24272,zip_derived_cl17363]) ).
thf(zip_derived_cl24277,plain,
( ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24276]) ).
thf(zip_derived_cl24281,plain,
( ( ( h1 @ e14 )
!= e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17973,zip_derived_cl24277]) ).
thf(zip_derived_cl509_502,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24286,plain,
( ( e20 != e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl24281,zip_derived_cl509]) ).
thf(zip_derived_cl24287,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24286]) ).
thf(zip_derived_cl24385,plain,
( ( ( h1 @ e10 )
!= e21 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23922,zip_derived_cl24287]) ).
thf(zip_derived_cl19414_503,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl24387,plain,
( ( e21 != e21 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl24385,zip_derived_cl19414]) ).
thf(zip_derived_cl24388,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl24387]) ).
thf(zip_derived_cl29165,plain,
( ( ( h1 @ e11 )
!= e23 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29134,zip_derived_cl24388]) ).
thf(zip_derived_cl17363_504,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl29187,plain,
( ( e23 != e23 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl29165,zip_derived_cl17363]) ).
thf(zip_derived_cl29188,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl29187]) ).
thf(zip_derived_cl29868,plain,
( ( ( h1 @ e12 )
!= e22 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24339,zip_derived_cl29188]) ).
thf(zip_derived_cl20164_505,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl29878,plain,
( ( e22 != e22 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl29868,zip_derived_cl20164]) ).
thf(zip_derived_cl29879,plain,
( ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29878]) ).
thf(zip_derived_cl29999,plain,
( ( ( h1 @ e13 )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24313,zip_derived_cl29879]) ).
thf(zip_derived_cl19427_506,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl30010,plain,
( ( e24 != e24 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl29999,zip_derived_cl19427]) ).
thf(zip_derived_cl30011,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30010]) ).
thf(zip_derived_cl30016,plain,
( ( ( h1 @ e11 )
!= e23 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23925,zip_derived_cl30011]) ).
thf(zip_derived_cl17363_507,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl30022,plain,
( ( e23 != e23 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl30016,zip_derived_cl17363]) ).
thf(zip_derived_cl30023,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl30022]) ).
thf(zip_derived_cl31230_508,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31345,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( e11 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl30023,zip_derived_cl31230]) ).
thf(zip_derived_cl403_509,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31346,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31345,zip_derived_cl403]) ).
thf(zip_derived_cl31272_510,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31271,zip_derived_cl403]) ).
thf(zip_derived_cl20164_511,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl31456,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl31346,zip_derived_cl31272,zip_derived_cl20164]) ).
thf(zip_derived_cl31457,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31456]) ).
thf(zip_derived_cl31360_512,plain,
( ( op1 @ e13 @ e10 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31359,zip_derived_cl403]) ).
thf(zip_derived_cl509_513,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl31645,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( e20 != e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl31457,zip_derived_cl31360,zip_derived_cl509]) ).
thf(zip_derived_cl31646,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl31645]) ).
thf(zip_derived_cl242_514,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31230_515,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31234,plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl31230]) ).
thf(zip_derived_cl31237_516,plain,
( e11
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl31230]) ).
thf(zip_derived_cl31647,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31646,zip_derived_cl31234,zip_derived_cl31237]) ).
thf(zip_derived_cl32752_517,plain,
( ( op1 @ e13 @ e14 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31672,zip_derived_cl31543]) ).
thf(zip_derived_cl20164_518,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl32767,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl31647,zip_derived_cl32752,zip_derived_cl20164]) ).
thf(zip_derived_cl32768,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32767]) ).
thf(zip_derived_cl32810,plain,
( ( ( h1 @ e13 )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl31410,zip_derived_cl32768]) ).
thf(zip_derived_cl19427_519,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl32815,plain,
( ( e24 != e24 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl32810,zip_derived_cl19427]) ).
thf(zip_derived_cl32816,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32815]) ).
thf(zip_derived_cl32847,plain,
( ( ( h1 @ e14 )
!= e20 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl32816]) ).
thf(zip_derived_cl509_520,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl32855,plain,
( ( e20 != e20 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl32847,zip_derived_cl509]) ).
thf(zip_derived_cl32856,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32855]) ).
thf(zip_derived_cl16287_521,plain,
( e10
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl16195]) ).
thf(zip_derived_cl201,plain,
( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl499_522,plain,
( e11
= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16267,plain,
( ( op1 @ e14 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl499]) ).
thf(zip_derived_cl208,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31272_523,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31271,zip_derived_cl403]) ).
thf(zip_derived_cl31394,plain,
( e12
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl31272]) ).
thf(zip_derived_cl32857,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32856,zip_derived_cl16287,zip_derived_cl16267,zip_derived_cl31394]) ).
thf(zip_derived_cl50,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl288,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16925_524,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16933,plain,
( e12
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl16925]) ).
thf(zip_derived_cl17737,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl50,zip_derived_cl16933]) ).
thf(zip_derived_cl252,plain,
( ( op1 @ e12 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl32752_525,plain,
( ( op1 @ e13 @ e14 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31672,zip_derived_cl31543]) ).
thf(zip_derived_cl32757,plain,
( ( op1 @ e12 @ e14 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl32752]) ).
thf(zip_derived_cl32796,plain,
( ( e12 != e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17737,zip_derived_cl32757]) ).
thf(zip_derived_cl32803,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32796]) ).
thf(zip_derived_cl25506_526,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl25475,zip_derived_cl17543]) ).
thf(zip_derived_cl291,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e14 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl25511,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25506,zip_derived_cl291]) ).
thf(zip_derived_cl31230_527,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31279,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( e11 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl25511,zip_derived_cl31230]) ).
thf(zip_derived_cl403_528,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31280,plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31279,zip_derived_cl403]) ).
thf(zip_derived_cl265,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31693_529,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31692,zip_derived_cl17120,zip_derived_cl31237]) ).
thf(zip_derived_cl31754,plain,
( e12
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl31693]) ).
thf(zip_derived_cl32804,plain,
( ( op1 @ e12 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32803,zip_derived_cl31280,zip_derived_cl31754]) ).
thf(zip_derived_cl20164_530,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl32933,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32857,zip_derived_cl32804,zip_derived_cl20164]) ).
thf(zip_derived_cl32934,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl32933]) ).
thf(zip_derived_cl457,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl32804_531,plain,
( ( op1 @ e12 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32803,zip_derived_cl31280,zip_derived_cl31754]) ).
thf(zip_derived_cl32891,plain,
( ( e12 != e12 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl32804]) ).
thf(zip_derived_cl32892,plain,
~ zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl32891]) ).
thf(zip_derived_cl32949,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl32934,zip_derived_cl32892]) ).
thf(zip_derived_cl32950,plain,
( ( ( h1 @ e13 )
!= e24 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17922,zip_derived_cl32949]) ).
thf(zip_derived_cl19427_532,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl32954,plain,
( ( e24 != e24 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32950,zip_derived_cl19427]) ).
thf(zip_derived_cl32955,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32954]) ).
thf(zip_derived_cl32961,plain,
( ( ( h1 @ e14 )
!= e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31322,zip_derived_cl32955]) ).
thf(zip_derived_cl509_533,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl32967,plain,
( ( e20 != e20 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32961,zip_derived_cl509]) ).
thf(zip_derived_cl32968,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32967]) ).
thf(zip_derived_cl32971,plain,
( ( ( h1 @ e10 )
!= e21 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31292,zip_derived_cl32968]) ).
thf(zip_derived_cl19414_534,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl32977,plain,
( ( e21 != e21 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32971,zip_derived_cl19414]) ).
thf(zip_derived_cl32978,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32977]) ).
thf(zip_derived_cl32982,plain,
( ( ( h1 @ e11 )
!= e23 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17908,zip_derived_cl32978]) ).
thf(zip_derived_cl17363_535,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl32987,plain,
( ( e23 != e23 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32982,zip_derived_cl17363]) ).
thf(zip_derived_cl32988,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= e24 )
| zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32987]) ).
thf(zip_derived_cl32993,plain,
( ( ( h1 @ e13 )
!= e24 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31555,zip_derived_cl32988]) ).
thf(zip_derived_cl19427_536,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl32997,plain,
( ( e24 != e24 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32993,zip_derived_cl19427]) ).
thf(zip_derived_cl32998,plain,
( ( ( op1 @ e14 @ e12 )
= e13 )
| zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32997]) ).
thf(zip_derived_cl25962_537,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25959]) ).
thf(zip_derived_cl31230_538,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31287,plain,
( ( e11 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl25962,zip_derived_cl31230]) ).
thf(zip_derived_cl403_539,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31288,plain,
( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31287,zip_derived_cl403]) ).
thf(zip_derived_cl33111,plain,
( ( e13 = e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl32998,zip_derived_cl31288]) ).
thf(zip_derived_cl33116,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( e13 = e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33111]) ).
thf(zip_derived_cl400_540,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33117,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33116,zip_derived_cl400]) ).
thf(zip_derived_cl17908_541,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17907,zip_derived_cl405,zip_derived_cl403,zip_derived_cl409]) ).
thf(zip_derived_cl33123,plain,
( ( e13 = e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_3
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33117,zip_derived_cl17908]) ).
thf(zip_derived_cl33126,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( e13 = e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33123]) ).
thf(zip_derived_cl404_542,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33127,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33126,zip_derived_cl404]) ).
thf(zip_derived_cl229_543,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl33156,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| zip_tseitin_1
| zip_tseitin_3 ),
inference('sup-',[status(thm)],[zip_derived_cl33127,zip_derived_cl229]) ).
thf(zip_derived_cl23925_544,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl23922,zip_derived_cl16926]) ).
thf(zip_derived_cl32892_545,plain,
~ zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl32891]) ).
thf(zip_derived_cl32937,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| zip_tseitin_3
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl23925,zip_derived_cl32892]) ).
thf(zip_derived_cl33209,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl33156,zip_derived_cl32937]) ).
thf(zip_derived_cl23926_546,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl23922,zip_derived_cl16927]) ).
thf(zip_derived_cl32892_547,plain,
~ zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl32891]) ).
thf(zip_derived_cl32938,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_3
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl23926,zip_derived_cl32892]) ).
thf(zip_derived_cl33225,plain,
( ( e14 = e10 )
| zip_tseitin_1
| zip_tseitin_3
| zip_tseitin_1
| zip_tseitin_3 ),
inference('sup+',[status(thm)],[zip_derived_cl33209,zip_derived_cl32938]) ).
thf(zip_derived_cl33232,plain,
( zip_tseitin_3
| zip_tseitin_1
| ( e14 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33225]) ).
thf(zip_derived_cl406_548,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33233,plain,
( zip_tseitin_3
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33232,zip_derived_cl406]) ).
thf(zip_derived_cl1_549,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl460,plain,
( ( ( op1 @ e14 @ e13 )
!= e14 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl16191,plain,
( ( e14 != e14 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ~ zip_tseitin_3 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl460]) ).
thf(zip_derived_cl16192,plain,
( ~ zip_tseitin_3
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16191]) ).
thf(zip_derived_cl16176_550,plain,
( ( op1 @ e14 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl499]) ).
thf(zip_derived_cl16193,plain,
( ~ zip_tseitin_3
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16192,zip_derived_cl16176]) ).
thf(zip_derived_cl33234,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33233,zip_derived_cl16193]) ).
thf(zip_derived_cl31393_551,plain,
( e12
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl31272]) ).
thf(zip_derived_cl16273_552,plain,
( e10
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl16195]) ).
thf(zip_derived_cl33237,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33234,zip_derived_cl31393,zip_derived_cl16273]) ).
thf(zip_derived_cl80,plain,
( ( op1 @ ( op1 @ e14 @ e13 ) @ ( op1 @ e13 @ e14 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl32752_553,plain,
( ( op1 @ e13 @ e14 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31672,zip_derived_cl31543]) ).
thf(zip_derived_cl32754,plain,
( ( op1 @ ( op1 @ e14 @ e13 ) @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl32752]) ).
thf(zip_derived_cl33612,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33237,zip_derived_cl32754]) ).
thf(zip_derived_cl215,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl33710,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl33612,zip_derived_cl215]) ).
thf(zip_derived_cl451,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl33746,plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference(clc,[status(thm)],[zip_derived_cl33710,zip_derived_cl451]) ).
thf(zip_derived_cl33748,plain,
( ( e13 != e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17848,zip_derived_cl33746]) ).
thf(zip_derived_cl33753,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl33748]) ).
thf(zip_derived_cl31230_554,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl33787,plain,
( ( e11 = e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl24881,zip_derived_cl33753,zip_derived_cl31230]) ).
thf(zip_derived_cl405_555,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33788,plain,
( ( op1 @ e10 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33787,zip_derived_cl405]) ).
thf(zip_derived_cl33901,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( e10 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl31262,zip_derived_cl33788]) ).
thf(zip_derived_cl406_556,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33902,plain,
( ( op1 @ e10 @ e14 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33901,zip_derived_cl406]) ).
thf(zip_derived_cl34072,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( e14 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl32124,zip_derived_cl33902]) ).
thf(zip_derived_cl406_557,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl34073,plain,
( ( op1 @ e14 @ e13 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34072,zip_derived_cl406]) ).
thf(zip_derived_cl19427_558,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl31262_559,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31261,zip_derived_cl403]) ).
thf(zip_derived_cl17543_560,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17542,zip_derived_cl17101]) ).
thf(zip_derived_cl79_561,plain,
( ( op1 @ ( op1 @ e10 @ e14 ) @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17555,plain,
( ( ( op1 @ ( op1 @ e10 @ e14 ) @ e12 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17543,zip_derived_cl79]) ).
thf(zip_derived_cl32040,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31262,zip_derived_cl17555]) ).
thf(zip_derived_cl30866_562,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl30812,zip_derived_cl30119]) ).
thf(zip_derived_cl292,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl30869,plain,
( ( ( op1 @ e12 @ e10 )
!= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30866,zip_derived_cl292]) ).
thf(zip_derived_cl31230_563,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31363,plain,
( ( ( op1 @ e12 @ e10 )
!= e14 )
| ( e11 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl30869,zip_derived_cl31230]) ).
thf(zip_derived_cl403_564,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31364,plain,
( ( op1 @ e12 @ e10 )
!= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31363,zip_derived_cl403]) ).
thf(zip_derived_cl32059,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32040,zip_derived_cl31364]) ).
thf(zip_derived_cl33788_565,plain,
( ( op1 @ e10 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33787,zip_derived_cl405]) ).
thf(zip_derived_cl34020,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( e10 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl32059,zip_derived_cl33788]) ).
thf(zip_derived_cl406_566,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl34021,plain,
( ( op1 @ e14 @ e12 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34020,zip_derived_cl406]) ).
thf(zip_derived_cl509_567,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl31555_568,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31554]) ).
thf(zip_derived_cl8,plain,
( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl16547_569,plain,
( e14
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl16220]) ).
thf(zip_derived_cl16548,plain,
( ( e14 != e14 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl16547]) ).
thf(zip_derived_cl16549,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16548]) ).
thf(zip_derived_cl280,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e14 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16195_570,plain,
( e10
= ( op1 @ e14 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl499]) ).
thf(zip_derived_cl16538,plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl16195]) ).
thf(zip_derived_cl16550,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16549,zip_derived_cl16538]) ).
thf(zip_derived_cl33746_571,plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference(clc,[status(thm)],[zip_derived_cl33710,zip_derived_cl451]) ).
thf(zip_derived_cl33747,plain,
( ( e13 != e13 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16550,zip_derived_cl33746]) ).
thf(zip_derived_cl33751,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33747]) ).
thf(zip_derived_cl287,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16925_572,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl499,zip_derived_cl16195,zip_derived_cl499]) ).
thf(zip_derived_cl16932,plain,
( e12
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl16925]) ).
thf(zip_derived_cl33752,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33751,zip_derived_cl16932]) ).
thf(zip_derived_cl33764,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( e11 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl31555,zip_derived_cl33752]) ).
thf(zip_derived_cl404_573,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33765,plain,
( ( op1 @ e13 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33764,zip_derived_cl404]) ).
thf(zip_derived_cl19427_574,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl33752_575,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33751,zip_derived_cl16932]) ).
thf(zip_derived_cl17363_576,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl31262_577,plain,
( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31261,zip_derived_cl403]) ).
thf(zip_derived_cl17543_578,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17542,zip_derived_cl17101]) ).
thf(zip_derived_cl95_579,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17556,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e14 ) )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17543,zip_derived_cl95]) ).
thf(zip_derived_cl32041,plain,
( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31262,zip_derived_cl17556]) ).
thf(zip_derived_cl31364_580,plain,
( ( op1 @ e12 @ e10 )
!= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31363,zip_derived_cl403]) ).
thf(zip_derived_cl32060,plain,
( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32041,zip_derived_cl31364]) ).
thf(zip_derived_cl33788_581,plain,
( ( op1 @ e10 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33787,zip_derived_cl405]) ).
thf(zip_derived_cl34034,plain,
( ( ( op1 @ e12 @ e14 )
= e10 )
| ( e10 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl32060,zip_derived_cl33788]) ).
thf(zip_derived_cl406_582,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl34035,plain,
( ( op1 @ e12 @ e14 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34034,zip_derived_cl406]) ).
thf(zip_derived_cl19414_583,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl17133_584,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17132,zip_derived_cl406]) ).
thf(zip_derived_cl16775_585,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16774,zip_derived_cl407,zip_derived_cl404]) ).
thf(zip_derived_cl17287,plain,
( ( e14 = e13 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17133,zip_derived_cl16775]) ).
thf(zip_derived_cl17101_586,plain,
( e13
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17096]) ).
thf(zip_derived_cl400_587,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17296,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17287,zip_derived_cl17101,zip_derived_cl400]) ).
thf(zip_derived_cl270_588,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl24055,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17296,zip_derived_cl270]) ).
thf(zip_derived_cl31230_589,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl31263,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( e11 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl24055,zip_derived_cl31230]) ).
thf(zip_derived_cl403_590,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31264,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31263,zip_derived_cl403]) ).
thf(zip_derived_cl33765_591,plain,
( ( op1 @ e13 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33764,zip_derived_cl404]) ).
thf(zip_derived_cl33830,plain,
( ( e13 != e13 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl31264,zip_derived_cl33765]) ).
thf(zip_derived_cl33831,plain,
( ( op1 @ e12 @ e13 )
= e14 ),
inference(simplify,[status(thm)],[zip_derived_cl33830]) ).
thf(zip_derived_cl509_592,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl32804_593,plain,
( ( op1 @ e12 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32803,zip_derived_cl31280,zip_derived_cl31754]) ).
thf(zip_derived_cl20164_594,plain,
( ( h1 @ e12 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20163,zip_derived_cl414]) ).
thf(zip_derived_cl33753_595,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl33748]) ).
thf(zip_derived_cl19427_596,plain,
( ( h1 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19414,zip_derived_cl19414,zip_derived_cl16359]) ).
thf(zip_derived_cl16926_597,plain,
( ( op1 @ e12 @ ( op1 @ e11 @ e10 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl16925]) ).
thf(zip_derived_cl17961_598,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17960,zip_derived_cl400]) ).
thf(zip_derived_cl88_599,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18089,plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17961,zip_derived_cl88]) ).
thf(zip_derived_cl33753_600,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl33748]) ).
thf(zip_derived_cl31230_601,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(clc,[status(thm)],[zip_derived_cl31177,zip_derived_cl27446]) ).
thf(zip_derived_cl33783,plain,
( ( e11 = e12 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl18089,zip_derived_cl33753,zip_derived_cl31230]) ).
thf(zip_derived_cl405_602,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33784,plain,
( ( op1 @ e11 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33783,zip_derived_cl405]) ).
thf(zip_derived_cl33870,plain,
( ( op1 @ e12 @ e10 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl16926,zip_derived_cl33784]) ).
thf(zip_derived_cl17363_603,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl91_604,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl31693_605,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31692,zip_derived_cl17120,zip_derived_cl31237]) ).
thf(zip_derived_cl31750,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl31693]) ).
thf(zip_derived_cl33752_606,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33751,zip_derived_cl16932]) ).
thf(zip_derived_cl33767,plain,
( ( op1 @ e11 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl31750,zip_derived_cl33752]) ).
thf(zip_derived_cl17363_607,plain,
( e23
= ( h1 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl503,zip_derived_cl16198,zip_derived_cl507]) ).
thf(zip_derived_cl33784_608,plain,
( ( op1 @ e11 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33783,zip_derived_cl405]) ).
thf(zip_derived_cl19414_609,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl33902_610,plain,
( ( op1 @ e10 @ e14 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33901,zip_derived_cl406]) ).
thf(zip_derived_cl509_611,plain,
( ( h1 @ e14 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl33788_612,plain,
( ( op1 @ e10 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33787,zip_derived_cl405]) ).
thf(zip_derived_cl19414_613,plain,
( ( h1 @ e10 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19413,zip_derived_cl419]) ).
thf(zip_derived_cl34653,plain,
( ( e24 != e24 )
| ( e20 != e20 )
| ( e24 != e24 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( e24 != e24 )
| ( e23 != e23 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e21 != e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl32784,zip_derived_cl34073,zip_derived_cl19427,zip_derived_cl34021,zip_derived_cl509,zip_derived_cl33765,zip_derived_cl19427,zip_derived_cl33752,zip_derived_cl17363,zip_derived_cl34035,zip_derived_cl19414,zip_derived_cl33831,zip_derived_cl509,zip_derived_cl32804,zip_derived_cl20164,zip_derived_cl33753,zip_derived_cl19427,zip_derived_cl33870,zip_derived_cl17363,zip_derived_cl33767,zip_derived_cl17363,zip_derived_cl33784,zip_derived_cl19414,zip_derived_cl33902,zip_derived_cl509,zip_derived_cl33788,zip_derived_cl19414]) ).
thf(zip_derived_cl34654,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl34653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG166+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3E3pIdC6vL true
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 02:40:24 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.66 % Total configuration time : 435
% 0.18/0.66 % Estimated wc time : 1092
% 0.18/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 89.06/13.43 % Solved by fo/fo5.sh.
% 89.06/13.43 % done 6319 iterations in 12.586s
% 89.06/13.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 89.06/13.43 % SZS output start Refutation
% See solution above
% 89.06/13.45
% 89.06/13.45
% 89.06/13.45 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 89.06/13.45 % Terminating...
% 89.58/13.55 % Runner terminated.
% 89.58/13.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------