TSTP Solution File: ALG015+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J2cXpxWuIX true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:04 EDT 2023
% Result : Theorem 13.95s 2.66s
% Output : Refutation 13.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 73
% Syntax : Number of formulae : 797 ( 637 unt; 38 typ; 0 def)
% Number of atoms : 2159 (2076 equ; 0 cnn)
% Maximal formula atoms : 384 ( 2 avg)
% Number of connectives : 8808 ( 291 ~; 590 |; 802 &;7117 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(h7_type,type,
h7: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(h5_type,type,
h5: $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(e21_type,type,
e21: $i ).
thf(e12_type,type,
e12: $i ).
thf(h8_type,type,
h8: $i > $i ).
thf(e11_type,type,
e11: $i ).
thf(h1_type,type,
h1: $i > $i ).
thf(h6_type,type,
h6: $i > $i ).
thf(h9_type,type,
h9: $i > $i ).
thf(h11_type,type,
h11: $i > $i ).
thf(e23_type,type,
e23: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(e10_type,type,
e10: $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(h12_type,type,
h12: $i > $i ).
thf(e22_type,type,
e22: $i ).
thf(h10_type,type,
h10: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(h2_type,type,
h2: $i > $i ).
thf(co1,conjecture,
( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl2322,plain,
( ( ( h8 @ e11 )
!= e23 )
| ( ( h8 @ e12 )
!= e22 )
| ( ( h8 @ e13 )
!= e21 )
| ( ( h8 @ e10 )
!= e20 )
| ( ( h8 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax6,axiom,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e22 )
= ( op2 @ e23 @ ( op2 @ e23 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e20 )
= ( op2 @ e23 @ ( op2 @ e23 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ ( op2 @ e22 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
= ( op2 @ e23 @ ( op2 @ e22 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e22 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e20 )
= ( op2 @ e23 @ ( op2 @ e22 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ ( op2 @ e21 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e22 )
= ( op2 @ e23 @ ( op2 @ e21 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e21 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e20 )
= ( op2 @ e23 @ ( op2 @ e21 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ ( op2 @ e20 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e22 )
= ( op2 @ e23 @ ( op2 @ e20 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e20 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
= ( op2 @ e23 @ ( op2 @ e20 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
= ( op2 @ e22 @ ( op2 @ e23 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e21 )
= ( op2 @ e22 @ ( op2 @ e23 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e20 )
= ( op2 @ e22 @ ( op2 @ e23 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e23 )
= ( op2 @ e22 @ ( op2 @ e22 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e21 )
= ( op2 @ e22 @ ( op2 @ e22 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e20 )
= ( op2 @ e22 @ ( op2 @ e22 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e23 )
= ( op2 @ e22 @ ( op2 @ e21 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
= ( op2 @ e22 @ ( op2 @ e21 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e20 )
= ( op2 @ e22 @ ( op2 @ e21 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e23 )
= ( op2 @ e22 @ ( op2 @ e20 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e20 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e21 )
= ( op2 @ e22 @ ( op2 @ e20 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
= ( op2 @ e22 @ ( op2 @ e20 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
= ( op2 @ e21 @ ( op2 @ e23 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e22 )
= ( op2 @ e21 @ ( op2 @ e23 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e20 )
= ( op2 @ e21 @ ( op2 @ e23 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e23 )
= ( op2 @ e21 @ ( op2 @ e22 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= ( op2 @ e21 @ ( op2 @ e22 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ ( op2 @ e22 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e20 )
= ( op2 @ e21 @ ( op2 @ e22 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e23 )
= ( op2 @ e21 @ ( op2 @ e21 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e22 )
= ( op2 @ e21 @ ( op2 @ e21 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e20 )
= ( op2 @ e21 @ ( op2 @ e21 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e23 )
= ( op2 @ e21 @ ( op2 @ e20 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e22 )
= ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ ( op2 @ e20 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
= ( op2 @ e21 @ ( op2 @ e20 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
= ( op2 @ e20 @ ( op2 @ e23 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e22 )
= ( op2 @ e20 @ ( op2 @ e23 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e21 )
= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e23 )
= ( op2 @ e20 @ ( op2 @ e22 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e22 )
= ( op2 @ e20 @ ( op2 @ e22 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e21 )
= ( op2 @ e20 @ ( op2 @ e22 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ ( op2 @ e22 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e23 )
= ( op2 @ e20 @ ( op2 @ e21 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e22 )
= ( op2 @ e20 @ ( op2 @ e21 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
= ( op2 @ e20 @ ( op2 @ e21 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ ( op2 @ e21 @ e20 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e23 )
= ( op2 @ e20 @ ( op2 @ e20 @ e23 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e22 )
= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e21 )
= ( op2 @ e20 @ ( op2 @ e20 @ e21 ) ) )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zip_derived_cl106,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax37,axiom,
( ( ( h12 @ e11 )
= ( op2 @ e23 @ e22 ) )
& ( ( h12 @ e10 )
= ( op2 @ e22 @ e22 ) )
& ( ( h12 @ e13 )
= e22 )
& ( ( h12 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl369,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(ax36,axiom,
( ( ( h11 @ e11 )
= ( op2 @ e23 @ e21 ) )
& ( ( h11 @ e10 )
= ( op2 @ e21 @ e21 ) )
& ( ( h11 @ e13 )
= e21 )
& ( ( h11 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl364,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl362,plain,
( ( h11 @ e11 )
= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_001,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_002,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl364_003,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_004,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_005,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_006,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(ax23,axiom,
( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl303,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl364_007,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_008,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(ax35,axiom,
( ( ( h10 @ e11 )
= ( op2 @ e23 @ e20 ) )
& ( ( h10 @ e10 )
= ( op2 @ e20 @ e20 ) )
& ( ( h10 @ e13 )
= e20 )
& ( ( h10 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl360,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4065,plain,
( ( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl364,zip_derived_cl364,zip_derived_cl360]) ).
thf(zf_stmt_2,type,
zip_tseitin_7: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_5: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_4: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ) ).
thf(zip_derived_cl317,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl305,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl369_009,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_010,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(ax25,axiom,
( ( e21
= ( op2 @ e22 @ e23 ) )
& ( e20
= ( op2 @ e23 @ e23 ) ) ) ).
thf(zip_derived_cl321,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl360_011,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_012,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_013,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl364_014,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4101,plain,
( ( ( h10 @ e13 )
= ( h11 @ e13 ) )
| ~ zip_tseitin_5 ),
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl364]) ).
thf(ax20,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl267,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax20]) ).
thf(ax29,axiom,
( ( ( h4 @ e11 )
= ( op2 @ e21 @ e20 ) )
& ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
& ( ( h4 @ e13 )
= e20 )
& ( ( h4 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl336,plain,
( ( h4 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax29]) ).
thf(zip_derived_cl3451,plain,
( ( h4 @ e13 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl336]) ).
thf(ax30,axiom,
( ( ( h5 @ e11 )
= ( op2 @ e21 @ e22 ) )
& ( ( h5 @ e10 )
= ( op2 @ e22 @ e22 ) )
& ( ( h5 @ e13 )
= e22 )
& ( ( h5 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl341,plain,
( ( h5 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax30]) ).
thf(zip_derived_cl3498,plain,
( ( h4 @ e13 )
!= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3451,zip_derived_cl341]) ).
thf(zip_derived_cl341_015,plain,
( ( h5 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax30]) ).
thf(ax31,axiom,
( ( ( h6 @ e11 )
= ( op2 @ e21 @ e23 ) )
& ( ( h6 @ e10 )
= ( op2 @ e23 @ e23 ) )
& ( ( h6 @ e13 )
= e23 )
& ( ( h6 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl345,plain,
( ( h6 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl3534,plain,
( ( h5 @ e12 )
= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl345]) ).
thf(zip_derived_cl3699,plain,
( ( h4 @ e13 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3498,zip_derived_cl3534]) ).
thf(zip_derived_cl336_016,plain,
( ( h4 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax29]) ).
thf(ax32,axiom,
( ( ( h7 @ e11 )
= ( op2 @ e22 @ e20 ) )
& ( ( h7 @ e10 )
= ( op2 @ e20 @ e20 ) )
& ( ( h7 @ e13 )
= e20 )
& ( ( h7 @ e12 )
= e22 ) ) ).
thf(zip_derived_cl348,plain,
( ( h7 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl3535,plain,
( ( h4 @ e13 )
= ( h7 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl348]) ).
thf(zip_derived_cl3762,plain,
( ( h7 @ e13 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3699,zip_derived_cl3535]) ).
thf(zip_derived_cl345_017,plain,
( ( h6 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax31]) ).
thf(ax33,axiom,
( ( ( h8 @ e11 )
= ( op2 @ e22 @ e21 ) )
& ( ( h8 @ e10 )
= ( op2 @ e21 @ e21 ) )
& ( ( h8 @ e13 )
= e21 )
& ( ( h8 @ e12 )
= e22 ) ) ).
thf(zip_derived_cl352,plain,
( ( h8 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax33]) ).
thf(zip_derived_cl3537,plain,
( ( h6 @ e12 )
= ( h8 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl352]) ).
thf(zip_derived_cl3805,plain,
( ( h7 @ e13 )
!= ( h8 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3762,zip_derived_cl3537]) ).
thf(zip_derived_cl348_018,plain,
( ( h7 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl360_019,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl3552,plain,
( ( h7 @ e13 )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl360]) ).
thf(zip_derived_cl3861,plain,
( ( h10 @ e13 )
!= ( h8 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3805,zip_derived_cl3552]) ).
thf(zip_derived_cl352_020,plain,
( ( h8 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax33]) ).
thf(zip_derived_cl364_021,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3554,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl3880,plain,
( ( h10 @ e13 )
!= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3861,zip_derived_cl3554]) ).
thf(zip_derived_cl4102,plain,
~ zip_tseitin_5,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4101,zip_derived_cl3880]) ).
thf(zip_derived_cl4103,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl4102]) ).
thf(zip_derived_cl309,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl369_022,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_023,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_024,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl368,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4134,plain,
( ( ( h10 @ e13 )
= ( h12 @ e13 ) )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl368]) ).
thf(zip_derived_cl266,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl336_025,plain,
( ( h4 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax29]) ).
thf(zip_derived_cl3450,plain,
( ( h4 @ e13 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl336]) ).
thf(zip_derived_cl340,plain,
( ( h5 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax30]) ).
thf(zip_derived_cl3479,plain,
( ( h4 @ e13 )
!= ( h5 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3450,zip_derived_cl340]) ).
thf(zip_derived_cl3535_026,plain,
( ( h4 @ e13 )
= ( h7 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl348]) ).
thf(zip_derived_cl3760,plain,
( ( h7 @ e13 )
!= ( h5 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3479,zip_derived_cl3535]) ).
thf(zip_derived_cl340_027,plain,
( ( h5 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax30]) ).
thf(zip_derived_cl349,plain,
( ( h7 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl3536,plain,
( ( h5 @ e13 )
= ( h7 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl349]) ).
thf(zip_derived_cl3788,plain,
( ( h7 @ e13 )
!= ( h7 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3760,zip_derived_cl3536]) ).
thf(zip_derived_cl349_028,plain,
( ( h7 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl353,plain,
( ( h8 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax33]) ).
thf(zip_derived_cl3538,plain,
( ( h7 @ e12 )
= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl353]) ).
thf(zip_derived_cl3821,plain,
( ( h7 @ e13 )
!= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3788,zip_derived_cl3538]) ).
thf(zip_derived_cl353_029,plain,
( ( h8 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax33]) ).
thf(ax34,axiom,
( ( ( h9 @ e11 )
= ( op2 @ e22 @ e23 ) )
& ( ( h9 @ e10 )
= ( op2 @ e23 @ e23 ) )
& ( ( h9 @ e13 )
= e23 )
& ( ( h9 @ e12 )
= e22 ) ) ).
thf(zip_derived_cl357,plain,
( ( h9 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax34]) ).
thf(zip_derived_cl3540,plain,
( ( h8 @ e12 )
= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl357]) ).
thf(zip_derived_cl3853,plain,
( ( h7 @ e13 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3821,zip_derived_cl3540]) ).
thf(zip_derived_cl3552_030,plain,
( ( h7 @ e13 )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl360]) ).
thf(zip_derived_cl3863,plain,
( ( h10 @ e13 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3853,zip_derived_cl3552]) ).
thf(zip_derived_cl357_031,plain,
( ( h9 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax34]) ).
thf(zip_derived_cl368_032,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3556,plain,
( ( h9 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl368]) ).
thf(zip_derived_cl3910,plain,
( ( h10 @ e13 )
!= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3863,zip_derived_cl3556]) ).
thf(zip_derived_cl4135,plain,
~ zip_tseitin_6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4134,zip_derived_cl3910]) ).
thf(zip_derived_cl4136,plain,
( zip_tseitin_7
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl4103,zip_derived_cl4135]) ).
thf(zip_derived_cl313,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl369_033,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_034,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_035,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl369_036,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4165,plain,
( ( ( h10 @ e13 )
= ( h12 @ e12 ) )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl369]) ).
thf(zip_derived_cl265,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl336_037,plain,
( ( h4 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax29]) ).
thf(zip_derived_cl3449,plain,
( ( h4 @ e13 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl336]) ).
thf(zip_derived_cl344,plain,
( ( h6 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl3516,plain,
( ( h4 @ e13 )
!= ( h6 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3449,zip_derived_cl344]) ).
thf(zip_derived_cl3535_038,plain,
( ( h4 @ e13 )
= ( h7 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl348]) ).
thf(zip_derived_cl3761,plain,
( ( h7 @ e13 )
!= ( h6 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3516,zip_derived_cl3535]) ).
thf(zip_derived_cl344_039,plain,
( ( h6 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl356,plain,
( ( h9 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax34]) ).
thf(zip_derived_cl3539,plain,
( ( h6 @ e13 )
= ( h9 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl356]) ).
thf(zip_derived_cl3837,plain,
( ( h7 @ e13 )
!= ( h9 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3761,zip_derived_cl3539]) ).
thf(zip_derived_cl3552_040,plain,
( ( h7 @ e13 )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl360]) ).
thf(zip_derived_cl3862,plain,
( ( h10 @ e13 )
!= ( h9 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3837,zip_derived_cl3552]) ).
thf(zip_derived_cl356_041,plain,
( ( h9 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax34]) ).
thf(zip_derived_cl365,plain,
( ( h11 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3555,plain,
( ( h9 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl365]) ).
thf(zip_derived_cl3892,plain,
( ( h10 @ e13 )
!= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3862,zip_derived_cl3555]) ).
thf(zip_derived_cl365_042,plain,
( ( h11 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_043,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3557,plain,
( ( h11 @ e12 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl369]) ).
thf(zip_derived_cl3937,plain,
( ( h10 @ e13 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3892,zip_derived_cl3557]) ).
thf(zip_derived_cl4166,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4165,zip_derived_cl3937]) ).
thf(zip_derived_cl4167,plain,
zip_tseitin_4,
inference(demod,[status(thm)],[zip_derived_cl4136,zip_derived_cl4166]) ).
thf(zip_derived_cl4173,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(zip_derived_cl358,plain,
( ( h10 @ e11 )
= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_044,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_045,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4384,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl4751,plain,
( ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) )
= ( h10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419,zip_derived_cl364,zip_derived_cl369,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4173,zip_derived_cl4384]) ).
thf(ax5,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl82,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl369_046,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_047,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_048,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl369_049,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_050,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_051,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_052,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl368_053,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_054,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_055,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_056,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl364_057,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_058,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_059,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_060,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl360_061,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4805,plain,
( ( ( h11 @ e11 )
= ( h12 @ e12 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) )
| ( ( h11 @ e11 )
= ( h11 @ e13 ) )
| ( ( h11 @ e11 )
= ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419,zip_derived_cl369,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419,zip_derived_cl368,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419,zip_derived_cl364,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419,zip_derived_cl360]) ).
thf(ax18,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl209,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl369_062,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_063,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_064,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_065,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3566,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl369,zip_derived_cl364,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3775_066,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3777,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3566,zip_derived_cl3775]) ).
thf(zip_derived_cl4419_067,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4421,plain,
( ( h11 @ e11 )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3777,zip_derived_cl4419]) ).
thf(zip_derived_cl4806,plain,
( ( ( h11 @ e11 )
= ( h12 @ e12 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) )
| ( ( h11 @ e11 )
= ( h11 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4805,zip_derived_cl4421]) ).
thf(zip_derived_cl98,plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e21 )
= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl369_068,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_069,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_070,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl364_071,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(ax26,axiom,
( ( ( h1 @ e11 )
= ( op2 @ e20 @ e21 ) )
& ( ( h1 @ e10 )
= ( op2 @ e21 @ e21 ) )
& ( ( h1 @ e13 )
= e21 )
& ( ( h1 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl322,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl360_072,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl364_073,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4042,plain,
( ( h1 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl360,zip_derived_cl364]) ).
thf(zip_derived_cl369_074,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_075,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_076,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_077,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4743,plain,
( ( h1 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl364,zip_derived_cl4042,zip_derived_cl369,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419]) ).
thf(zip_derived_cl4809,plain,
( ( ( h1 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
| ( ( h11 @ e11 )
= ( h11 @ e13 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4806,zip_derived_cl4743]) ).
thf(zip_derived_cl3775_078,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl4813,plain,
( ( ( h1 @ e11 )
= ( h10 @ e13 ) )
| ( ( h11 @ e11 )
= ( h11 @ e13 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4809,zip_derived_cl3775]) ).
thf(zip_derived_cl4103_079,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl4102]) ).
thf(zip_derived_cl4065_080,plain,
( ( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl364,zip_derived_cl364,zip_derived_cl360]) ).
thf(zip_derived_cl249,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl360_081,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl364_082,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_083,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_084,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3630,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) )
!= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl360,zip_derived_cl364,zip_derived_cl364,zip_derived_cl364]) ).
thf(zip_derived_cl4042_085,plain,
( ( h1 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl360,zip_derived_cl364]) ).
thf(zip_derived_cl4048,plain,
( ( h1 @ e11 )
!= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3630,zip_derived_cl4042]) ).
thf(zip_derived_cl4068,plain,
( ( ( h1 @ e11 )
!= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl4065,zip_derived_cl4048]) ).
thf(zip_derived_cl4104,plain,
( zip_tseitin_6
| zip_tseitin_7
| ( ( h1 @ e11 )
!= ( h10 @ e13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4103,zip_derived_cl4068]) ).
thf(zip_derived_cl4135_086,plain,
~ zip_tseitin_6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4134,zip_derived_cl3910]) ).
thf(zip_derived_cl4137,plain,
( zip_tseitin_7
| ( ( h1 @ e11 )
!= ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4104,zip_derived_cl4135]) ).
thf(zip_derived_cl4166_087,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4165,zip_derived_cl3937]) ).
thf(zip_derived_cl4168,plain,
( ( h1 @ e11 )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4137,zip_derived_cl4166]) ).
thf(zip_derived_cl4814,plain,
( ( ( h11 @ e11 )
= ( h11 @ e13 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4813,zip_derived_cl4168]) ).
thf(zip_derived_cl4743_088,plain,
( ( h1 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl364,zip_derived_cl4042,zip_derived_cl369,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419]) ).
thf(zip_derived_cl4829,plain,
( ( ( h1 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4814,zip_derived_cl4743]) ).
thf(zip_derived_cl4419_089,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4832,plain,
( ( ( h1 @ e11 )
= ( h11 @ e11 ) )
| ( ( h11 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4829,zip_derived_cl4419]) ).
thf(zip_derived_cl247,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl360_090,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl364_091,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_092,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_093,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3628,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl360,zip_derived_cl364,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4042_094,plain,
( ( h1 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl360,zip_derived_cl364]) ).
thf(zip_derived_cl4046,plain,
( ( h1 @ e11 )
!= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3628,zip_derived_cl4042]) ).
thf(zip_derived_cl4419_095,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4422,plain,
( ( h1 @ e11 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4046,zip_derived_cl4419]) ).
thf(zip_derived_cl4833,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl350,plain,
( ( h8 @ e11 )
= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax33]) ).
thf(zip_derived_cl368_096,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_097,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4359,plain,
( ( h8 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl368,zip_derived_cl364]) ).
thf(zip_derived_cl4845,plain,
( ( h8 @ e11 )
= ( h10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4751,zip_derived_cl4833,zip_derived_cl4359]) ).
thf(zip_derived_cl83,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl369_098,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_099,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4384_100,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl369_101,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_102,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_103,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4384_104,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl368_105,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_106,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_107,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4384_108,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl364_109,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_110,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_111,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4384_112,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl360_113,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4865,plain,
( ( ( h10 @ e11 )
= ( h12 @ e12 ) )
| ( ( h10 @ e11 )
= ( h12 @ e13 ) )
| ( ( h10 @ e11 )
= ( h11 @ e13 ) )
| ( ( h10 @ e11 )
= ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl369,zip_derived_cl360,zip_derived_cl4384,zip_derived_cl369,zip_derived_cl369,zip_derived_cl360,zip_derived_cl4384,zip_derived_cl368,zip_derived_cl369,zip_derived_cl360,zip_derived_cl4384,zip_derived_cl364,zip_derived_cl369,zip_derived_cl360,zip_derived_cl4384,zip_derived_cl360]) ).
thf(zip_derived_cl211,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl369_114,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_115,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_116,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_117,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3568,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl369,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3775_118,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3778,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3568,zip_derived_cl3775]) ).
thf(zip_derived_cl4384_119,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl4387,plain,
( ( h10 @ e11 )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3778,zip_derived_cl4384]) ).
thf(zip_derived_cl236,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl360_120,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_121,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_122,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_123,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3606,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) )
!= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl360,zip_derived_cl369,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl320,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl364_124,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl368_125,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_126,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3768,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl364,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl3774,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) )
!= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3606,zip_derived_cl3768]) ).
thf(ax28,axiom,
( ( ( h3 @ e11 )
= ( op2 @ e20 @ e23 ) )
& ( ( h3 @ e10 )
= ( op2 @ e23 @ e23 ) )
& ( ( h3 @ e13 )
= e23 )
& ( ( h3 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl330,plain,
( ( h3 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl360_127,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_128,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4184,plain,
( ( h3 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl360,zip_derived_cl369]) ).
thf(zip_derived_cl4187,plain,
( ( h3 @ e11 )
!= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3774,zip_derived_cl4184]) ).
thf(zip_derived_cl96,plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl369_129,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_130,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_131,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl369_132,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4184_133,plain,
( ( h3 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl360,zip_derived_cl369]) ).
thf(zip_derived_cl369_134,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_135,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_136,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_137,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl4384_138,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl4717,plain,
( ( h3 @ e11 )
= ( h10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl369,zip_derived_cl4184,zip_derived_cl369,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl4384]) ).
thf(zip_derived_cl4719,plain,
( ( h10 @ e11 )
!= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4187,zip_derived_cl4717]) ).
thf(zip_derived_cl213,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl369_139,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_140,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_141,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_142,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3570,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl369,zip_derived_cl360,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4384_143,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl4386,plain,
( ( h10 @ e11 )
!= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3570,zip_derived_cl4384]) ).
thf(zip_derived_cl4419_144,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4424,plain,
( ( h10 @ e11 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4386,zip_derived_cl4419]) ).
thf(zip_derived_cl4833_145,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl4840,plain,
( ( h10 @ e11 )
!= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4424,zip_derived_cl4833]) ).
thf(zip_derived_cl4866,plain,
( ( h10 @ e11 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4865,zip_derived_cl4387,zip_derived_cl4719,zip_derived_cl4840]) ).
thf(zip_derived_cl4905,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl369_146,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3540_147,plain,
( ( h8 @ e12 )
= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl357]) ).
thf(zip_derived_cl3556_148,plain,
( ( h9 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl368]) ).
thf(zip_derived_cl3905,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl368_149,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3554_150,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl364_151,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl363,plain,
( ( h11 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_152,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_153,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl351,plain,
( ( h8 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax33]) ).
thf(zip_derived_cl364_154,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_155,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4381,plain,
( ( h8 @ e10 )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl364,zip_derived_cl364]) ).
thf(zip_derived_cl4425,plain,
( ( h11 @ e10 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4381]) ).
thf(zip_derived_cl4381_156,plain,
( ( h8 @ e10 )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl364,zip_derived_cl364]) ).
thf(zip_derived_cl4425_157,plain,
( ( h11 @ e10 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4381]) ).
thf(zip_derived_cl4426,plain,
( ( h11 @ e10 )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4381,zip_derived_cl4425]) ).
thf(zip_derived_cl4173_158,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(zip_derived_cl4541,plain,
( ( h11 @ e10 )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4426,zip_derived_cl4173]) ).
thf(zip_derived_cl4542,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl360_159,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(ax24,axiom,
( ( e11
= ( op1 @ e12 @ e13 ) )
& ( e10
= ( op1 @ e13 @ e13 ) ) ) ).
thf(zip_derived_cl319,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4542_160,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl3554_161,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl3554_162,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4173_163,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(ax2,axiom,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e13 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e11 )
= ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e10 )
= ( op1 @ e13 @ ( op1 @ e13 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ ( op1 @ e12 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e12 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e11 )
= ( op1 @ e13 @ ( op1 @ e12 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e10 )
= ( op1 @ e13 @ ( op1 @ e12 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ ( op1 @ e11 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e11 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e11 )
= ( op1 @ e13 @ ( op1 @ e11 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e10 )
= ( op1 @ e13 @ ( op1 @ e11 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ ( op1 @ e10 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e10 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e11 )
= ( op1 @ e13 @ ( op1 @ e10 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
= ( op1 @ e13 @ ( op1 @ e10 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
= ( op1 @ e12 @ ( op1 @ e13 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ ( op1 @ e13 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e11 )
= ( op1 @ e12 @ ( op1 @ e13 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e10 )
= ( op1 @ e12 @ ( op1 @ e13 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e13 )
= ( op1 @ e12 @ ( op1 @ e12 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e11 )
= ( op1 @ e12 @ ( op1 @ e12 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e10 )
= ( op1 @ e12 @ ( op1 @ e12 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e13 )
= ( op1 @ e12 @ ( op1 @ e11 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ ( op1 @ e11 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
= ( op1 @ e12 @ ( op1 @ e11 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e10 )
= ( op1 @ e12 @ ( op1 @ e11 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e13 )
= ( op1 @ e12 @ ( op1 @ e10 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ ( op1 @ e10 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e11 )
= ( op1 @ e12 @ ( op1 @ e10 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
= ( op1 @ e12 @ ( op1 @ e10 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
= ( op1 @ e11 @ ( op1 @ e13 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e12 )
= ( op1 @ e11 @ ( op1 @ e13 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ ( op1 @ e13 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e10 )
= ( op1 @ e11 @ ( op1 @ e13 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e13 )
= ( op1 @ e11 @ ( op1 @ e12 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= ( op1 @ e11 @ ( op1 @ e12 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ ( op1 @ e12 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e10 )
= ( op1 @ e11 @ ( op1 @ e12 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e13 )
= ( op1 @ e11 @ ( op1 @ e11 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e12 )
= ( op1 @ e11 @ ( op1 @ e11 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e10 )
= ( op1 @ e11 @ ( op1 @ e11 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e13 )
= ( op1 @ e11 @ ( op1 @ e10 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e12 )
= ( op1 @ e11 @ ( op1 @ e10 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ ( op1 @ e10 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
= ( op1 @ e11 @ ( op1 @ e10 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
= ( op1 @ e10 @ ( op1 @ e13 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e12 )
= ( op1 @ e10 @ ( op1 @ e13 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e11 )
= ( op1 @ e10 @ ( op1 @ e13 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ ( op1 @ e13 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e13 )
= ( op1 @ e10 @ ( op1 @ e12 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e12 )
= ( op1 @ e10 @ ( op1 @ e12 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e11 )
= ( op1 @ e10 @ ( op1 @ e12 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ ( op1 @ e12 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e13 )
= ( op1 @ e10 @ ( op1 @ e11 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e12 )
= ( op1 @ e10 @ ( op1 @ e11 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
= ( op1 @ e10 @ ( op1 @ e11 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ ( op1 @ e11 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e13 )
= ( op1 @ e10 @ ( op1 @ e10 @ e13 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e12 )
= ( op1 @ e10 @ ( op1 @ e10 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e11 )
= ( op1 @ e10 @ ( op1 @ e10 @ e11 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl18,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e11 )
= ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl319_164,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3959,plain,
( ( op1 @ e10 @ e11 )
= ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl319]) ).
thf(zip_derived_cl38,plain,
( ( op1 @ ( op1 @ e12 @ e12 ) @ e11 )
= ( op1 @ e12 @ ( op1 @ e12 @ e11 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(ax22,axiom,
( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl285,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zf_stmt_11,type,
zip_tseitin_3: $o ).
thf(zf_stmt_12,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_2: $o ).
thf(zf_stmt_14,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_1: $o ).
thf(zf_stmt_16,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_0: $o ).
thf(zf_stmt_18,axiom,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl300,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl288,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl319_165,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3715,plain,
( ( e10 = e11 )
| ~ zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl319]) ).
thf(ax19,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl261,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3716,plain,
~ zip_tseitin_1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3715,zip_derived_cl261]) ).
thf(zip_derived_cl3735,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl3716]) ).
thf(zip_derived_cl296,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl319_166,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3719,plain,
( ( e10 = e13 )
| ~ zip_tseitin_3 ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl319]) ).
thf(zip_derived_cl259,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3720,plain,
~ zip_tseitin_3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3719,zip_derived_cl259]) ).
thf(zip_derived_cl292,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl319_167,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3717,plain,
( ( e10 = e12 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl319]) ).
thf(zip_derived_cl260,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3718,plain,
~ zip_tseitin_2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3717,zip_derived_cl260]) ).
thf(zip_derived_cl3978,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl3735,zip_derived_cl3720,zip_derived_cl3718]) ).
thf(zip_derived_cl3979,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl6,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(ax17,axiom,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl168,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3547,plain,
( ( e10
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl168]) ).
thf(zip_derived_cl3979_168,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl3999,plain,
( ( e10 != e10 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3547,zip_derived_cl3979]) ).
thf(zip_derived_cl4000,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3999]) ).
thf(zip_derived_cl167,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl318,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3658,plain,
( ( op1 @ e12 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl318]) ).
thf(zip_derived_cl4001,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4000,zip_derived_cl3658]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl170,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3578,plain,
( ( e10
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl170]) ).
thf(zip_derived_cl3979_169,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl4002,plain,
( ( e10 != e10 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3578,zip_derived_cl3979]) ).
thf(zip_derived_cl4003,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4002]) ).
thf(zip_derived_cl169,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl318_170,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3659,plain,
( ( op1 @ e12 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl318]) ).
thf(zip_derived_cl4004,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4003,zip_derived_cl3659]) ).
thf(zip_derived_cl171,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4217,plain,
( ( e12
!= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4004,zip_derived_cl171]) ).
thf(zip_derived_cl202,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4226,plain,
( ( e13
!= ( op1 @ e13 @ e10 ) )
| ( e12
!= ( op1 @ e12 @ e11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4217,zip_derived_cl202]) ).
thf(zip_derived_cl16,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl319_171,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl319_172,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3894,plain,
( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl319,zip_derived_cl319]) ).
thf(zip_derived_cl12,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl187,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl319_173,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3714,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl319]) ).
thf(zip_derived_cl188,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl318_174,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3662,plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl318]) ).
thf(zip_derived_cl3763,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12,zip_derived_cl3714,zip_derived_cl3662]) ).
thf(zip_derived_cl3901,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3894,zip_derived_cl3763]) ).
thf(zip_derived_cl3894_175,plain,
( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl319,zip_derived_cl319]) ).
thf(zip_derived_cl3947,plain,
( ( e13
= ( op1 @ e13 @ e10 ) )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3901,zip_derived_cl3894]) ).
thf(zip_derived_cl19,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e10 )
= ( op1 @ e13 @ ( op1 @ e13 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl319_176,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3988,plain,
( ( op1 @ e10 @ e10 )
= ( op1 @ e13 @ ( op1 @ e13 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl319]) ).
thf(zip_derived_cl287,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl3978_177,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl3735,zip_derived_cl3720,zip_derived_cl3718]) ).
thf(zip_derived_cl3981,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl3978]) ).
thf(zip_derived_cl4056,plain,
( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3988,zip_derived_cl3981]) ).
thf(zip_derived_cl4445,plain,
( ( e10
= ( op1 @ e13 @ e12 ) )
| ( e13
= ( op1 @ e13 @ e10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3947,zip_derived_cl4056]) ).
thf(zip_derived_cl160,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl319_178,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3710,plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl319]) ).
thf(zip_derived_cl4449,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl4479,plain,
( ( e13 != e13 )
| ( e12
!= ( op1 @ e12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4226,zip_derived_cl4449]) ).
thf(zip_derived_cl4480,plain,
( e12
!= ( op1 @ e12 @ e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4479]) ).
thf(zip_derived_cl4506,plain,
( ( e12 != e12 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4001,zip_derived_cl4480]) ).
thf(zip_derived_cl4510,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl4506]) ).
thf(zip_derived_cl318_179,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4590,plain,
( ( op1 @ e10 @ e11 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl3979,zip_derived_cl4510,zip_derived_cl318]) ).
thf(zip_derived_cl4592,plain,
( e11
= ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3959,zip_derived_cl4590]) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl160_180,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3445,plain,
( ( e10
!= ( op1 @ e13 @ e13 ) )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl160]) ).
thf(zip_derived_cl319_181,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3721,plain,
( ( e10 != e10 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3445,zip_derived_cl319]) ).
thf(zip_derived_cl3722,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3721]) ).
thf(zip_derived_cl17,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e13 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl319_182,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3930,plain,
( ( op1 @ e10 @ e12 )
= ( op1 @ e13 @ ( op1 @ e13 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl319]) ).
thf(zip_derived_cl37,plain,
( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3979_183,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl3979_184,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl4004_185,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4003,zip_derived_cl3659]) ).
thf(zip_derived_cl202_186,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4449_187,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl4466,plain,
( ( op1 @ e12 @ e10 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl4449]) ).
thf(zip_derived_cl4529,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4004,zip_derived_cl4466]) ).
thf(zip_derived_cl4583,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl3979,zip_derived_cl3979,zip_derived_cl4529]) ).
thf(zip_derived_cl4587,plain,
( e12
= ( op1 @ e13 @ ( op1 @ e13 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3930,zip_derived_cl4583]) ).
thf(zip_derived_cl4610,plain,
( ( e12
= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3722,zip_derived_cl4587]) ).
thf(zip_derived_cl164,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4449_188,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl4464,plain,
( e13
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl4449]) ).
thf(zip_derived_cl193,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4583_189,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl3979,zip_derived_cl3979,zip_derived_cl4529]) ).
thf(zip_derived_cl4585,plain,
( e12
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl4583]) ).
thf(zip_derived_cl4611,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4610,zip_derived_cl4464,zip_derived_cl4585]) ).
thf(zip_derived_cl4630,plain,
( e11
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl4611]) ).
thf(zip_derived_cl4905_190,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3554_191,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl3905_192,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl338,plain,
( ( h5 @ e11 )
= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax30]) ).
thf(zip_derived_cl364_193,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl368_194,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4240,plain,
( ( h5 @ e11 )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl364,zip_derived_cl368]) ).
thf(zip_derived_cl81,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl369_195,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_196,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl366,plain,
( ( h12 @ e11 )
= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_197,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_198,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl369_199,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_200,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_201,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427_202,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl368_203,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_204,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_205,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427_206,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl364_207,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_208,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_209,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427_210,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl360_211,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4753,plain,
( ( ( h12 @ e11 )
= ( h12 @ e12 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) )
| ( ( h12 @ e11 )
= ( h11 @ e13 ) )
| ( ( h12 @ e11 )
= ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427,zip_derived_cl369,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427,zip_derived_cl368,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427,zip_derived_cl364,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427,zip_derived_cl360]) ).
thf(zip_derived_cl208,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl369_212,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_213,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_214,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_215,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3558,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl369,zip_derived_cl368,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3775_216,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl3776,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3558,zip_derived_cl3775]) ).
thf(zip_derived_cl4427_217,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4428,plain,
( ( h12 @ e11 )
!= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3776,zip_derived_cl4427]) ).
thf(zip_derived_cl4754,plain,
( ( ( h12 @ e11 )
= ( h12 @ e12 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) )
| ( ( h12 @ e11 )
= ( h11 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4753,zip_derived_cl4428]) ).
thf(zip_derived_cl97,plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e22 )
= ( op2 @ e23 @ ( op2 @ e23 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl369_218,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_219,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3775_220,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl368_221,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(ax27,axiom,
( ( ( h2 @ e11 )
= ( op2 @ e20 @ e22 ) )
& ( ( h2 @ e10 )
= ( op2 @ e22 @ e22 ) )
& ( ( h2 @ e13 )
= e22 )
& ( ( h2 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl326,plain,
( ( h2 @ e11 )
= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl360_222,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl368_223,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4110,plain,
( ( h2 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl369_224,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_225,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_226,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427_227,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4742,plain,
( ( h2 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl368,zip_derived_cl4110,zip_derived_cl369,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427]) ).
thf(zip_derived_cl4756,plain,
( ( ( h2 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
| ( ( h12 @ e11 )
= ( h11 @ e13 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4754,zip_derived_cl4742]) ).
thf(zip_derived_cl3775_228,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl4761,plain,
( ( ( h2 @ e11 )
= ( h10 @ e13 ) )
| ( ( h12 @ e11 )
= ( h11 @ e13 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4756,zip_derived_cl3775]) ).
thf(zip_derived_cl4136_229,plain,
( zip_tseitin_7
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl4103,zip_derived_cl4135]) ).
thf(zip_derived_cl304,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl360_230,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl360_231,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl360_232,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4069,plain,
( ( ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) )
= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl360,zip_derived_cl360,zip_derived_cl360]) ).
thf(zip_derived_cl230,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl360_233,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl360_234,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl360_235,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl368_236,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3600,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) )
!= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl360,zip_derived_cl360,zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl4071,plain,
( ( ( h10 @ e13 )
!= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) )
| ~ zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl4069,zip_derived_cl3600]) ).
thf(zip_derived_cl4110_237,plain,
( ( h2 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl4117,plain,
( ( ( h10 @ e13 )
!= ( h2 @ e11 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl4071,zip_derived_cl4110]) ).
thf(zip_derived_cl4142,plain,
( zip_tseitin_7
| ( ( h10 @ e13 )
!= ( h2 @ e11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4136,zip_derived_cl4117]) ).
thf(zip_derived_cl4166_238,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4165,zip_derived_cl3937]) ).
thf(zip_derived_cl4171,plain,
( ( h10 @ e13 )
!= ( h2 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4142,zip_derived_cl4166]) ).
thf(zip_derived_cl4762,plain,
( ( ( h12 @ e11 )
= ( h11 @ e13 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4761,zip_derived_cl4171]) ).
thf(zip_derived_cl113,plain,
( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl368_239,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_240,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3768_241,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl364,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl368_242,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4240_243,plain,
( ( h5 @ e11 )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl364,zip_derived_cl368]) ).
thf(zip_derived_cl368_244,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_245,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_246,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4427_247,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4802,plain,
( ( h5 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl368,zip_derived_cl369,zip_derived_cl3768,zip_derived_cl368,zip_derived_cl4240,zip_derived_cl368,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427]) ).
thf(zip_derived_cl4803,plain,
( ( ( h5 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4762,zip_derived_cl4802]) ).
thf(zip_derived_cl4359_248,plain,
( ( h8 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl368,zip_derived_cl364]) ).
thf(zip_derived_cl4804,plain,
( ( ( h5 @ e11 )
= ( h8 @ e11 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4803,zip_derived_cl4359]) ).
thf(zip_derived_cl116,plain,
( ( op2 @ ( op2 @ e22 @ e22 ) @ e23 )
= ( op2 @ e22 @ ( op2 @ e22 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl368_249,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_250,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl302,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl368_251,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_252,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_253,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4063,plain,
( ( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl368,zip_derived_cl368,zip_derived_cl360]) ).
thf(zip_derived_cl4167_254,plain,
zip_tseitin_4,
inference(demod,[status(thm)],[zip_derived_cl4136,zip_derived_cl4166]) ).
thf(zip_derived_cl4172,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4063,zip_derived_cl4167]) ).
thf(zip_derived_cl369_255,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4184_256,plain,
( ( h3 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl360,zip_derived_cl369]) ).
thf(zip_derived_cl4717_257,plain,
( ( h3 @ e11 )
= ( h10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl369,zip_derived_cl4184,zip_derived_cl369,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl4384]) ).
thf(zip_derived_cl4718,plain,
( ( h10 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4184,zip_derived_cl4717]) ).
thf(zip_derived_cl368_258,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_259,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl369_260,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3768_261,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl364,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl4359_262,plain,
( ( h8 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl368,zip_derived_cl364]) ).
thf(zip_derived_cl4853,plain,
( ( h10 @ e11 )
= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl369,zip_derived_cl4718,zip_derived_cl368,zip_derived_cl368,zip_derived_cl369,zip_derived_cl3768,zip_derived_cl4359]) ).
thf(zip_derived_cl4860,plain,
( ( ( h5 @ e11 )
= ( h10 @ e11 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4804,zip_derived_cl4853]) ).
thf(zip_derived_cl210,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl369_263,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_264,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl369_265,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_266,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3567,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl369,zip_derived_cl364,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4419_267,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4420,plain,
( ( h11 @ e11 )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3567,zip_derived_cl4419]) ).
thf(zip_derived_cl4427_268,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4432,plain,
( ( h11 @ e11 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4420,zip_derived_cl4427]) ).
thf(zip_derived_cl4833_269,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl4841,plain,
( ( h12 @ e13 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4432,zip_derived_cl4833]) ).
thf(zip_derived_cl4861,plain,
( ( h5 @ e11 )
= ( h10 @ e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4860,zip_derived_cl4841]) ).
thf(zip_derived_cl4866_270,plain,
( ( h10 @ e11 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4865,zip_derived_cl4387,zip_derived_cl4719,zip_derived_cl4840]) ).
thf(zip_derived_cl4908,plain,
( ( h5 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4861,zip_derived_cl4866]) ).
thf(zip_derived_cl4909,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4240,zip_derived_cl4908]) ).
thf(zip_derived_cl4611_271,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4610,zip_derived_cl4464,zip_derived_cl4585]) ).
thf(zip_derived_cl3905_272,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl3554_273,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4905_274,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ ( op2 @ e20 @ e23 ) @ e21 )
= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl360_275,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_276,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4718_277,plain,
( ( h10 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4184,zip_derived_cl4717]) ).
thf(zip_derived_cl4866_278,plain,
( ( h10 @ e11 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4865,zip_derived_cl4387,zip_derived_cl4719,zip_derived_cl4840]) ).
thf(zip_derived_cl4873,plain,
( ( h12 @ e12 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4718,zip_derived_cl4866]) ).
thf(zip_derived_cl364_279,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4419_280,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4833_281,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl4836,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4419,zip_derived_cl4833]) ).
thf(zip_derived_cl360_282,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl369_283,plain,
( ( h12 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_284,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4836_285,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4419,zip_derived_cl4833]) ).
thf(zip_derived_cl137,plain,
( ( op2 @ ( op2 @ e21 @ e21 ) @ e22 )
= ( op2 @ e21 @ ( op2 @ e21 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl364_286,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_287,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4173_288,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(zip_derived_cl368_289,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_290,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_291,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl368_292,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4909_293,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4240,zip_derived_cl4908]) ).
thf(zip_derived_cl4987,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4173,zip_derived_cl368,zip_derived_cl364,zip_derived_cl364,zip_derived_cl368,zip_derived_cl4909]) ).
thf(zip_derived_cl4998,plain,
( ( h12 @ e13 )
= ( op2 @ ( h11 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl360,zip_derived_cl369,zip_derived_cl4873,zip_derived_cl364,zip_derived_cl4836,zip_derived_cl360,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4836,zip_derived_cl4987]) ).
thf(zip_derived_cl4449_294,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl3554_295,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl3554_296,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4542_297,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl138,plain,
( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl364_298,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_299,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4173_300,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(zip_derived_cl364_301,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl118,plain,
( ( op2 @ ( op2 @ e22 @ e22 ) @ e21 )
= ( op2 @ e22 @ ( op2 @ e22 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl368_302,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_303,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4172_304,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4063,zip_derived_cl4167]) ).
thf(zip_derived_cl364_305,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl368_306,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_307,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl364_308,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4359_309,plain,
( ( h8 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl368,zip_derived_cl364]) ).
thf(zip_derived_cl4853_310,plain,
( ( h10 @ e11 )
= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl369,zip_derived_cl4718,zip_derived_cl368,zip_derived_cl368,zip_derived_cl369,zip_derived_cl3768,zip_derived_cl4359]) ).
thf(zip_derived_cl4854,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4359,zip_derived_cl4853]) ).
thf(zip_derived_cl4866_311,plain,
( ( h10 @ e11 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4865,zip_derived_cl4387,zip_derived_cl4719,zip_derived_cl4840]) ).
thf(zip_derived_cl4893,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4854,zip_derived_cl4866]) ).
thf(zip_derived_cl3768_312,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl364,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl4919,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl364,zip_derived_cl368,zip_derived_cl368,zip_derived_cl364,zip_derived_cl4893,zip_derived_cl3768]) ).
thf(zip_derived_cl364_313,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_314,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl364_315,plain,
( ( h11 @ e13 )
= e21 ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl4173_316,plain,
( ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4167]) ).
thf(zip_derived_cl4989,plain,
( ( h11 @ e13 )
= ( op2 @ ( h11 @ e13 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4173,zip_derived_cl364,zip_derived_cl4919,zip_derived_cl364,zip_derived_cl364,zip_derived_cl364,zip_derived_cl4173]) ).
thf(zip_derived_cl318_317,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4905_318,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3905_319,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl3554_320,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4893_321,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4854,zip_derived_cl4866]) ).
thf(zip_derived_cl3979_322,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl4542_323,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl3905_324,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl3905_325,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4172_326,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4063,zip_derived_cl4167]) ).
thf(zip_derived_cl4510_327,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl4506]) ).
thf(zip_derived_cl3554_328,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl3905_329,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4905_330,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3768_331,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl364,zip_derived_cl368,zip_derived_cl369]) ).
thf(zip_derived_cl4529_332,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4004,zip_derived_cl4466]) ).
thf(zip_derived_cl3905_333,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl3905_334,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4542_335,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl346,plain,
( ( h7 @ e11 )
= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl368_336,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl360_337,plain,
( ( h10 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax35]) ).
thf(zip_derived_cl4331,plain,
( ( h7 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl368,zip_derived_cl360]) ).
thf(zip_derived_cl117,plain,
( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl368_338,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_339,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4172_340,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4063,zip_derived_cl4167]) ).
thf(zip_derived_cl368_341,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4110_342,plain,
( ( h2 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl368_343,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_344,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl368_345,plain,
( ( h12 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl4172_346,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4063,zip_derived_cl4167]) ).
thf(zip_derived_cl4331_347,plain,
( ( h7 @ e11 )
= ( op2 @ ( h12 @ e13 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl368,zip_derived_cl360]) ).
thf(zip_derived_cl4896,plain,
( ( h2 @ e11 )
= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl368,zip_derived_cl4110,zip_derived_cl368,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl4331]) ).
thf(zip_derived_cl4762_348,plain,
( ( ( h12 @ e11 )
= ( h11 @ e13 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4761,zip_derived_cl4171]) ).
thf(zip_derived_cl4742_349,plain,
( ( h2 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl368,zip_derived_cl4110,zip_derived_cl369,zip_derived_cl369,zip_derived_cl368,zip_derived_cl4427]) ).
thf(zip_derived_cl4768,plain,
( ( ( h2 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4762,zip_derived_cl4742]) ).
thf(zip_derived_cl4419_350,plain,
( ( h11 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl369,zip_derived_cl364]) ).
thf(zip_derived_cl4772,plain,
( ( ( h2 @ e11 )
= ( h11 @ e11 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4768,zip_derived_cl4419]) ).
thf(zip_derived_cl4833_351,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl4847,plain,
( ( ( h2 @ e11 )
= ( h12 @ e13 ) )
| ( ( h12 @ e11 )
= ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4772,zip_derived_cl4833]) ).
thf(zip_derived_cl4841_352,plain,
( ( h12 @ e13 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4432,zip_derived_cl4833]) ).
thf(zip_derived_cl4933,plain,
( ( h2 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4847,zip_derived_cl4841]) ).
thf(zip_derived_cl4934,plain,
( ( h12 @ e13 )
= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4896,zip_derived_cl4933]) ).
thf(zip_derived_cl4935,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e13 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4331,zip_derived_cl4934]) ).
thf(zip_derived_cl32,plain,
( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
= ( op1 @ e12 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl318_353,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl319_354,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4523,plain,
( ( op1 @ e11 @ e13 )
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl318,zip_derived_cl319]) ).
thf(zip_derived_cl4529_355,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4004,zip_derived_cl4466]) ).
thf(zip_derived_cl4545,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl4523,zip_derived_cl4529]) ).
thf(zip_derived_cl3905_356,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4905_357,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3554_358,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4836_359,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4419,zip_derived_cl4833]) ).
thf(zip_derived_cl21,plain,
( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
= ( op1 @ e13 @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3979_360,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl3978]) ).
thf(zip_derived_cl4086,plain,
( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl3979]) ).
thf(zip_derived_cl4449_361,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl4477,plain,
( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl4086,zip_derived_cl4449]) ).
thf(zip_derived_cl4630_362,plain,
( e11
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl4611]) ).
thf(zip_derived_cl4634,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl4477,zip_derived_cl4630]) ).
thf(zip_derived_cl3554_363,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4905_364,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3905_365,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4427_366,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4042_367,plain,
( ( h1 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl360,zip_derived_cl364]) ).
thf(zip_derived_cl4743_368,plain,
( ( h1 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl369,zip_derived_cl369,zip_derived_cl3775,zip_derived_cl364,zip_derived_cl4042,zip_derived_cl369,zip_derived_cl369,zip_derived_cl364,zip_derived_cl4419]) ).
thf(zip_derived_cl4833_369,plain,
( ( h11 @ e11 )
= ( h12 @ e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4832,zip_derived_cl4422]) ).
thf(zip_derived_cl4427_370,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl369,zip_derived_cl368]) ).
thf(zip_derived_cl4842,plain,
( ( h1 @ e11 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4743,zip_derived_cl4833,zip_derived_cl4427]) ).
thf(zip_derived_cl4888,plain,
( ( h12 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4042,zip_derived_cl4842]) ).
thf(zip_derived_cl4919_371,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl364,zip_derived_cl368,zip_derived_cl368,zip_derived_cl364,zip_derived_cl4893,zip_derived_cl3768]) ).
thf(zip_derived_cl4969,plain,
( ( h12 @ e11 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4888,zip_derived_cl4919]) ).
thf(zip_derived_cl4970,plain,
( ( h11 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4427,zip_derived_cl4969]) ).
thf(zip_derived_cl286,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl3978_372,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl3735,zip_derived_cl3720,zip_derived_cl3718]) ).
thf(zip_derived_cl3980,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl3978]) ).
thf(zip_derived_cl4542_373,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4905_374,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl4905_375,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl3775_376,plain,
( ( h10 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl360,zip_derived_cl369,zip_derived_cl369]) ).
thf(zip_derived_cl35,plain,
( ( op1 @ ( op1 @ e12 @ e13 ) @ e10 )
= ( op1 @ e12 @ ( op1 @ e13 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl318_377,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4449_378,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl318_379,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4576,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl318,zip_derived_cl4449,zip_derived_cl318]) ).
thf(zip_derived_cl4905_380,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl4905_381,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl4542_382,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4384_383,plain,
( ( h10 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl369,zip_derived_cl360]) ).
thf(zip_derived_cl4866_384,plain,
( ( h10 @ e11 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4865,zip_derived_cl4387,zip_derived_cl4719,zip_derived_cl4840]) ).
thf(zip_derived_cl4867,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4384,zip_derived_cl4866]) ).
thf(zip_derived_cl3894_385,plain,
( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl319,zip_derived_cl319]) ).
thf(zip_derived_cl4449_386,plain,
( e13
= ( op1 @ e13 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl3710]) ).
thf(zip_derived_cl4469,plain,
( ( op1 @ e10 @ e13 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl4449]) ).
thf(zip_derived_cl3554_387,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4542_388,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl3554_389,plain,
( ( h8 @ e13 )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl364]) ).
thf(zip_derived_cl4919_390,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h11 @ e13 ) )
= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl364,zip_derived_cl368,zip_derived_cl368,zip_derived_cl364,zip_derived_cl4893,zip_derived_cl3768]) ).
thf(zip_derived_cl4583_391,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl3979,zip_derived_cl3979,zip_derived_cl4529]) ).
thf(zip_derived_cl3905_392,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4542_393,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl3905_394,plain,
( ( h8 @ e12 )
= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl3556]) ).
thf(zip_derived_cl4110_395,plain,
( ( h2 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl4896_396,plain,
( ( h2 @ e11 )
= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl368,zip_derived_cl4110,zip_derived_cl368,zip_derived_cl368,zip_derived_cl368,zip_derived_cl4172,zip_derived_cl4331]) ).
thf(zip_derived_cl4897,plain,
( ( h7 @ e11 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4110,zip_derived_cl4896]) ).
thf(zip_derived_cl4934_397,plain,
( ( h12 @ e13 )
= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4896,zip_derived_cl4933]) ).
thf(zip_derived_cl4942,plain,
( ( h12 @ e13 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4897,zip_derived_cl4934]) ).
thf(zip_derived_cl4590_398,plain,
( ( op1 @ e10 @ e11 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl3979,zip_derived_cl4510,zip_derived_cl318]) ).
thf(zip_derived_cl4905_399,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl4542_400,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4905_401,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4845,zip_derived_cl4866]) ).
thf(zip_derived_cl4873_402,plain,
( ( h12 @ e12 )
= ( op2 @ ( h10 @ e13 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4718,zip_derived_cl4866]) ).
thf(zip_derived_cl3981_403,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl3978]) ).
thf(zip_derived_cl4542_404,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4542_405,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4542_406,plain,
( ( h10 @ e13 )
= ( h8 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl4541]) ).
thf(zip_derived_cl4069_407,plain,
( ( ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) )
= ( h10 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl360,zip_derived_cl360,zip_derived_cl360]) ).
thf(zip_derived_cl4167_408,plain,
zip_tseitin_4,
inference(demod,[status(thm)],[zip_derived_cl4136,zip_derived_cl4166]) ).
thf(zip_derived_cl4175,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) )
= ( h10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4069,zip_derived_cl4167]) ).
thf(zip_derived_cl8700,plain,
( ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h12 @ e13 )
!= ( h12 @ e13 ) )
| ( ( h11 @ e13 )
!= ( h11 @ e13 ) )
| ( ( h10 @ e13 )
!= ( h10 @ e13 ) )
| ( ( h10 @ e13 )
!= ( h10 @ e13 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h12 @ e13 )
!= ( h12 @ e13 ) )
| ( ( h11 @ e13 )
!= ( h11 @ e13 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h10 @ e13 )
!= ( h10 @ e13 ) )
| ( ( h11 @ e13 )
!= ( h11 @ e13 ) )
| ( ( h12 @ e13 )
!= ( h12 @ e13 ) )
| ( ( h12 @ e13 )
!= ( h12 @ e13 ) )
| ( ( h11 @ e13 )
!= ( h11 @ e13 ) )
| ( ( h10 @ e13 )
!= ( h10 @ e13 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h11 @ e13 )
!= ( h11 @ e13 ) )
| ( ( h12 @ e13 )
!= ( h12 @ e13 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h10 @ e13 )
!= ( h10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2322,zip_derived_cl4905,zip_derived_cl369,zip_derived_cl3905,zip_derived_cl368,zip_derived_cl3554,zip_derived_cl364,zip_derived_cl4542,zip_derived_cl360,zip_derived_cl319,zip_derived_cl4542,zip_derived_cl3554,zip_derived_cl3554,zip_derived_cl4173,zip_derived_cl4630,zip_derived_cl4905,zip_derived_cl3554,zip_derived_cl3905,zip_derived_cl4909,zip_derived_cl4611,zip_derived_cl3905,zip_derived_cl3554,zip_derived_cl4905,zip_derived_cl4998,zip_derived_cl4449,zip_derived_cl3554,zip_derived_cl3554,zip_derived_cl4542,zip_derived_cl4989,zip_derived_cl318,zip_derived_cl4905,zip_derived_cl3905,zip_derived_cl3554,zip_derived_cl4893,zip_derived_cl3979,zip_derived_cl4542,zip_derived_cl3905,zip_derived_cl3905,zip_derived_cl4172,zip_derived_cl4510,zip_derived_cl3554,zip_derived_cl3905,zip_derived_cl4905,zip_derived_cl3768,zip_derived_cl4529,zip_derived_cl3905,zip_derived_cl3905,zip_derived_cl4542,zip_derived_cl4935,zip_derived_cl4545,zip_derived_cl3905,zip_derived_cl4905,zip_derived_cl3554,zip_derived_cl4836,zip_derived_cl4634,zip_derived_cl3554,zip_derived_cl4905,zip_derived_cl3905,zip_derived_cl4970,zip_derived_cl3980,zip_derived_cl4542,zip_derived_cl4905,zip_derived_cl4905,zip_derived_cl3775,zip_derived_cl4576,zip_derived_cl4905,zip_derived_cl4905,zip_derived_cl4542,zip_derived_cl4867,zip_derived_cl4469,zip_derived_cl3554,zip_derived_cl4542,zip_derived_cl3554,zip_derived_cl4919,zip_derived_cl4583,zip_derived_cl3905,zip_derived_cl4542,zip_derived_cl3905,zip_derived_cl4942,zip_derived_cl4590,zip_derived_cl4905,zip_derived_cl4542,zip_derived_cl4905,zip_derived_cl4873,zip_derived_cl3981,zip_derived_cl4542,zip_derived_cl4542,zip_derived_cl4542,zip_derived_cl4175]) ).
thf(zip_derived_cl8701,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl8700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J2cXpxWuIX true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 03:49:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.95/2.66 % Solved by fo/fo4.sh.
% 13.95/2.66 % done 2202 iterations in 1.804s
% 13.95/2.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.95/2.66 % SZS output start Refutation
% See solution above
% 13.95/2.67
% 13.95/2.67
% 13.95/2.67 % Terminating...
% 14.72/2.75 % Runner terminated.
% 14.72/2.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------