TSTP Solution File: ALG167+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG167+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.Kx0N18FVJa true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:11:48 EDT 2023
% Result : Theorem 96.75s 14.54s
% Output : Refutation 96.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 123
% Number of leaves : 68
% Syntax : Number of formulae : 1514 ( 809 unt; 37 typ; 0 def)
% Number of atoms : 4869 (4551 equ; 0 cnn)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 15897 (1359 ~;2580 |; 802 &;11146 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 21 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e14_type,type,
e14: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(h2_type,type,
h2: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e21_type,type,
e21: $i ).
thf(e20_type,type,
e20: $i ).
thf(e11_type,type,
e11: $i ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(e24_type,type,
e24: $i ).
thf(e23_type,type,
e23: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(h5_type,type,
h5: $i > $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(ax12,axiom,
( ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e14 )
!= e14 ) )
| ( ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e14 )
!= e14 ) )
| ( ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e14 )
!= e14 ) )
| ( ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e14 )
!= e14 ) )
| ( ( ( op1 @ e14 @ e10 )
!= e10 )
& ( ( op1 @ e14 @ e11 )
!= e11 )
& ( ( op1 @ e14 @ e12 )
!= e12 )
& ( ( op1 @ e14 @ e13 )
!= e13 )
& ( ( op1 @ e14 @ e14 )
!= e14 ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ e14 )
!= e14 )
& ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 ) ) ) ).
thf(zip_derived_cl453,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax2,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl70,plain,
( ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl26,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(ax7,axiom,
( ( ( op1 @ e14 @ e13 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e13 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl270,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(ax14,axiom,
( ( e14
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) )
& ( e12
= ( op1 @ e13 @ e13 ) )
& ( e11
= ( op1 @ e13 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) )
& ( e10
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ) ) ).
thf(zip_derived_cl497,plain,
( e14
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl498,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16193,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16533,plain,
( e14
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl16193]) ).
thf(zip_derived_cl16759,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26,zip_derived_cl16533]) ).
thf(zip_derived_cl500,plain,
( e10
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl498_001,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16193_002,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl498_003,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16193_004,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl17065,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17080,plain,
( ( e10 = e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16759,zip_derived_cl17065]) ).
thf(ax9,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl406,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17081,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17080,zip_derived_cl406]) ).
thf(zip_derived_cl296,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e14 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(ax3,axiom,
( ( ( op1 @ ( op1 @ e14 @ e14 ) @ ( op1 @ e14 @ e14 ) )
= e14 )
& ( ( op1 @ ( op1 @ e13 @ e14 ) @ ( op1 @ e14 @ e13 ) )
= e14 )
& ( ( op1 @ ( op1 @ e12 @ e14 ) @ ( op1 @ e14 @ e12 ) )
= e14 )
& ( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 )
& ( ( op1 @ ( op1 @ e10 @ e14 ) @ ( op1 @ e14 @ e10 ) )
= e14 )
& ( ( op1 @ ( op1 @ e14 @ e13 ) @ ( op1 @ e13 @ e14 ) )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e13 @ e12 ) )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e11 ) )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 )
& ( ( op1 @ ( op1 @ e14 @ e12 ) @ ( op1 @ e12 @ e14 ) )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e12 @ e13 ) )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e12 @ e10 ) )
= e12 )
& ( ( op1 @ ( op1 @ e14 @ e11 ) @ ( op1 @ e11 @ e14 ) )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e11 @ e12 ) )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e11 @ e10 ) )
= e11 )
& ( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e10 @ e13 ) )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e10 @ e12 ) )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e10 @ e11 ) )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ).
thf(zip_derived_cl75,plain,
( ( op1 @ ( op1 @ e14 @ e14 ) @ ( op1 @ e14 @ e14 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17065_005,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17065_006,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17066,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17108,plain,
( e14
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17066]) ).
thf(zip_derived_cl17240,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17081,zip_derived_cl17108]) ).
thf(zip_derived_cl76,plain,
( ( op1 @ ( op1 @ e13 @ e14 ) @ ( op1 @ e14 @ e13 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl499,plain,
( e11
= ( op1 @ e13 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl498_007,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16193_008,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16547,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16548,plain,
( ( op1 @ e11 @ ( op1 @ e14 @ e13 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl16547]) ).
thf(zip_derived_cl17250,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17240,zip_derived_cl16548]) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16547_009,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16799,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( e11 = e13 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl16547]) ).
thf(zip_derived_cl221,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl81,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl498_010,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl498_011,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16254,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl16370,plain,
( e13
!= ( op1 @ e12 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl16254]) ).
thf(zip_derived_cl404,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16800,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16799,zip_derived_cl16370,zip_derived_cl404]) ).
thf(zip_derived_cl17065_012,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17088,plain,
( ( e10 = e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl16800,zip_derived_cl17065]) ).
thf(zip_derived_cl407,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17089,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17088,zip_derived_cl407]) ).
thf(zip_derived_cl78,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17145,plain,
( ( ( op1 @ e13 @ ( op1 @ e14 @ e11 ) )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17089,zip_derived_cl78]) ).
thf(zip_derived_cl17480,plain,
( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17250,zip_derived_cl17145]) ).
thf(zip_derived_cl16547_013,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17482,plain,
( ( e11 = e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17480,zip_derived_cl16547]) ).
thf(zip_derived_cl403,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17483,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17482,zip_derived_cl403]) ).
thf(zip_derived_cl17089_014,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17088,zip_derived_cl407]) ).
thf(zip_derived_cl17543,plain,
( ( e14 = e13 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17483,zip_derived_cl17089]) ).
thf(zip_derived_cl17546,plain,
( ( ( op1 @ e10 @ e14 )
= e13 )
| ( e14 = e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17543]) ).
thf(zip_derived_cl400,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17547,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17066_015,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17962,plain,
( ( e13 = e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( e14 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl17547,zip_derived_cl17066]) ).
thf(zip_derived_cl401,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl267,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl498_016,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16508,plain,
( ( op1 @ e10 @ e13 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl498]) ).
thf(zip_derived_cl402,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17963,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17962,zip_derived_cl401,zip_derived_cl16508,zip_derived_cl402]) ).
thf(zf_stmt_1,type,
zip_tseitin_4: $o ).
thf(zf_stmt_2,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e14 @ e14 )
!= e14 )
& ( ( op1 @ e14 @ e13 )
!= e13 )
& ( ( op1 @ e14 @ e12 )
!= e12 )
& ( ( op1 @ e14 @ e11 )
!= e11 )
& ( ( op1 @ e14 @ e10 )
!= e10 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $o ).
thf(zf_stmt_4,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e14 )
!= e14 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_2: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ e14 )
!= e14 )
& ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_1: $o ).
thf(zf_stmt_8,type,
zip_tseitin_0: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e10 @ e14 )
!= e14 )
& ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) ) ) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl470,plain,
( zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl498_017,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17158,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( e12 = e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl498]) ).
thf(zip_derived_cl222,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16254_018,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl16373,plain,
( e13
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl16254]) ).
thf(zip_derived_cl402_019,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17159,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17158,zip_derived_cl16373,zip_derived_cl402]) ).
thf(zip_derived_cl16548_020,plain,
( ( op1 @ e11 @ ( op1 @ e14 @ e13 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl16547]) ).
thf(zip_derived_cl17168,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17159,zip_derived_cl16548]) ).
thf(zip_derived_cl240,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17547_021,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17550,plain,
( ( op1 @ e10 @ e13 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl17547]) ).
thf(zip_derived_cl31879,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17168,zip_derived_cl17550]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16547_022,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl498_023,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16193_024,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl17218,plain,
( ( e11 = e13 )
| ( e12 = e13 )
| ( e14 = e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl16547,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl400_025,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl402_026,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl404_027,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17219,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17218,zip_derived_cl400,zip_derived_cl402,zip_derived_cl404]) ).
thf(zip_derived_cl83,plain,
( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e11 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17220,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17219,zip_derived_cl83]) ).
thf(zip_derived_cl31892,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31879,zip_derived_cl17220]) ).
thf(zip_derived_cl498_028,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl31910,plain,
( ( e12 = e13 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl31892,zip_derived_cl498]) ).
thf(zip_derived_cl402_029,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31911,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31910,zip_derived_cl402]) ).
thf(zip_derived_cl17220_030,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17219,zip_derived_cl83]) ).
thf(zip_derived_cl31951,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31911,zip_derived_cl17220]) ).
thf(zip_derived_cl31966,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31951]) ).
thf(zip_derived_cl466,plain,
( ( ( op1 @ e14 @ e13 )
!= e13 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl31985,plain,
( ( e13 != e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl31966,zip_derived_cl466]) ).
thf(zip_derived_cl31992,plain,
( ~ zip_tseitin_4
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31985]) ).
thf(zip_derived_cl31999,plain,
( zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_3
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl31992]) ).
thf(zip_derived_cl56,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl299,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17066_031,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17111,plain,
( e14
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl17066]) ).
thf(zip_derived_cl274,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16193_032,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16543,plain,
( ( op1 @ e11 @ e12 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl16193]) ).
thf(zip_derived_cl17693,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56,zip_derived_cl17111,zip_derived_cl16543]) ).
thf(zip_derived_cl17250_033,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17240,zip_derived_cl16548]) ).
thf(zip_derived_cl283,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e14 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17359,plain,
( ( ( op1 @ e11 @ e11 )
!= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17250,zip_derived_cl283]) ).
thf(zip_derived_cl17694,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl17693,zip_derived_cl17359]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16547_034,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16193_035,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl17486,plain,
( ( e11 = e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( e14 = e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl16547,zip_derived_cl16193]) ).
thf(zip_derived_cl406_036,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl409,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17487,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17486,zip_derived_cl406,zip_derived_cl409]) ).
thf(zip_derived_cl498_037,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17489,plain,
( ( e12 = e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17487,zip_derived_cl498]) ).
thf(zip_derived_cl408,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17491,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17489,zip_derived_cl408]) ).
thf(zip_derived_cl91,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17667,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17491,zip_derived_cl91]) ).
thf(zip_derived_cl31063,plain,
( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17694,zip_derived_cl17667]) ).
thf(zip_derived_cl17547_038,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl31069,plain,
( ( e13 = e11 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl31063,zip_derived_cl17547]) ).
thf(zip_derived_cl404_039,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31070,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31069,zip_derived_cl404]) ).
thf(zip_derived_cl32224,plain,
( ( e13 = e10 )
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31999,zip_derived_cl31070]) ).
thf(zip_derived_cl407_040,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl32230,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32224,zip_derived_cl407]) ).
thf(zip_derived_cl31070_041,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31069,zip_derived_cl404]) ).
thf(zip_derived_cl464,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl31078,plain,
( ( e10 != e10 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ~ zip_tseitin_3 ),
inference('sup-',[status(thm)],[zip_derived_cl31070,zip_derived_cl464]) ).
thf(zip_derived_cl31088,plain,
( ~ zip_tseitin_3
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31078]) ).
thf(zip_derived_cl32353,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl32230,zip_derived_cl31088]) ).
thf(zip_derived_cl25,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16547_042,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16723,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( e11 = e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl16547]) ).
thf(zip_derived_cl403_043,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16724,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16723,zip_derived_cl403]) ).
thf(zip_derived_cl17065_044,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17078,plain,
( ( e10 = e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16724,zip_derived_cl17065]) ).
thf(zip_derived_cl406_045,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17079,plain,
( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17078,zip_derived_cl406]) ).
thf(zip_derived_cl246,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17066_046,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17104,plain,
( e14
!= ( op1 @ e10 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl17066]) ).
thf(zip_derived_cl17203,plain,
( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17079,zip_derived_cl17104]) ).
thf(zip_derived_cl455,plain,
( ( ( op1 @ e12 @ e14 )
!= e14 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl17211,plain,
( ( e14 != e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ~ zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl17203,zip_derived_cl455]) ).
thf(zip_derived_cl17217,plain,
( ~ zip_tseitin_2
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17211]) ).
thf(zip_derived_cl32354,plain,
( zip_tseitin_1
| zip_tseitin_0
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference(clc,[status(thm)],[zip_derived_cl32353,zip_derived_cl17217]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl271,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16254_047,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl16536,plain,
( e13
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl16254]) ).
thf(zip_derived_cl16537,plain,
( ( e13 != e13 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16536]) ).
thf(zip_derived_cl16538,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16537]) ).
thf(zip_derived_cl16533_048,plain,
( e14
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl16193]) ).
thf(zip_derived_cl16539,plain,
( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16538,zip_derived_cl16533]) ).
thf(zip_derived_cl29,plain,
( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16547_049,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16878,plain,
( ( ( op1 @ e14 @ e14 )
= e12 )
| ( e11 = e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl16547]) ).
thf(zip_derived_cl405,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16879,plain,
( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16878,zip_derived_cl405]) ).
thf(zip_derived_cl17065_050,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17098,plain,
( ( e10 = e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl16879,zip_derived_cl17065]) ).
thf(zip_derived_cl408_051,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17099,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17098,zip_derived_cl408]) ).
thf(zip_derived_cl17547_052,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17560,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( e13 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl17099,zip_derived_cl17547]) ).
thf(zip_derived_cl402_053,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17561,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17560,zip_derived_cl402]) ).
thf(zip_derived_cl77,plain,
( ( op1 @ ( op1 @ e12 @ e14 ) @ ( op1 @ e14 @ e12 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17935,plain,
( ( ( op1 @ e12 @ ( op1 @ e14 @ e12 ) )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17561,zip_derived_cl77]) ).
thf(zip_derived_cl31368,plain,
( ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16539,zip_derived_cl17935]) ).
thf(zip_derived_cl16254_054,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl31375,plain,
( ( e13 = e14 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl31368,zip_derived_cl16254]) ).
thf(zip_derived_cl201,plain,
( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17065_055,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17068,plain,
( ( op1 @ e14 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17065]) ).
thf(zip_derived_cl400_056,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl31376,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31375,zip_derived_cl17068,zip_derived_cl400]) ).
thf(zip_derived_cl17561_057,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17560,zip_derived_cl402]) ).
thf(zip_derived_cl85,plain,
( ( op1 @ ( op1 @ e14 @ e12 ) @ ( op1 @ e12 @ e14 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17936,plain,
( ( ( op1 @ ( op1 @ e14 @ e12 ) @ e12 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17561,zip_derived_cl85]) ).
thf(zip_derived_cl31474,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31376,zip_derived_cl17936]) ).
thf(zip_derived_cl31480,plain,
( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31474]) ).
thf(zip_derived_cl32372,plain,
( ( e14 = e12 )
| zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl32354,zip_derived_cl31480]) ).
thf(zip_derived_cl401_058,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl32385,plain,
( zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32372,zip_derived_cl401]) ).
thf(zip_derived_cl279,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl32481,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| zip_tseitin_1
| zip_tseitin_0 ),
inference('sup-',[status(thm)],[zip_derived_cl32385,zip_derived_cl279]) ).
thf(zip_derived_cl447,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl32676,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl32481,zip_derived_cl447]) ).
thf(zip_derived_cl32678,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl17963,zip_derived_cl32676]) ).
thf(zip_derived_cl32681,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32678]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16536_059,plain,
( e13
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl16254]) ).
thf(zip_derived_cl16851,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28,zip_derived_cl16536]) ).
thf(zip_derived_cl17065_060,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17090,plain,
( ( e10 = e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl16851,zip_derived_cl17065]) ).
thf(zip_derived_cl407_061,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17091,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17090,zip_derived_cl407]) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl278,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16254_062,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl16624,plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl16254]) ).
thf(zip_derived_cl16625,plain,
( ( e13 != e13 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl16624]) ).
thf(zip_derived_cl16626,plain,
( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16625]) ).
thf(zip_derived_cl277,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16193_063,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16621,plain,
( ( op1 @ e10 @ e12 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl16193]) ).
thf(zip_derived_cl16627,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16626,zip_derived_cl16621]) ).
thf(zip_derived_cl32676_064,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl32481,zip_derived_cl447]) ).
thf(zip_derived_cl32677,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl16627,zip_derived_cl32676]) ).
thf(zip_derived_cl32680,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32677]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl79,plain,
( ( op1 @ ( op1 @ e10 @ e14 ) @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17547_065,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17548,plain,
( ( op1 @ e13 @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl17547]) ).
thf(zip_derived_cl17834,plain,
( ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl17548]) ).
thf(zip_derived_cl498_066,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17835,plain,
( ( e12 = e14 )
| ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17834,zip_derived_cl498]) ).
thf(zip_derived_cl17108_067,plain,
( e14
!= ( op1 @ e14 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl17066]) ).
thf(zip_derived_cl206,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17065_068,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17070,plain,
( ( op1 @ e14 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl17065]) ).
thf(zip_derived_cl401_069,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17836,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17835,zip_derived_cl17108,zip_derived_cl17070,zip_derived_cl401]) ).
thf(zip_derived_cl16539_070,plain,
( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16538,zip_derived_cl16533]) ).
thf(zip_derived_cl208,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16610,plain,
( ( ( op1 @ e14 @ e10 )
!= e12 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16539,zip_derived_cl208]) ).
thf(zip_derived_cl18240,plain,
( ( e12 != e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17836,zip_derived_cl16610]) ).
thf(zip_derived_cl18250,plain,
( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18240]) ).
thf(zip_derived_cl17068_071,plain,
( ( op1 @ e14 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17065]) ).
thf(zip_derived_cl18251,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18250,zip_derived_cl17068]) ).
thf(zip_derived_cl276,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl18547,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18251,zip_derived_cl276]) ).
thf(zip_derived_cl32846,plain,
( ( e11 != e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_1
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32680,zip_derived_cl18547]) ).
thf(zip_derived_cl32861,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| zip_tseitin_1
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32846]) ).
thf(zip_derived_cl17548_072,plain,
( ( op1 @ e13 @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl17547]) ).
thf(zip_derived_cl32997,plain,
( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl32861,zip_derived_cl17548]) ).
thf(zip_derived_cl215,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16193_073,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16330,plain,
( ( op1 @ e13 @ e11 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl16193]) ).
thf(zip_derived_cl33011,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32997,zip_derived_cl16330]) ).
thf(zip_derived_cl71,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17066_074,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17983,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( e14 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl17066]) ).
thf(zip_derived_cl403_075,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl216,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16547_076,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16551,plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl16547]) ).
thf(zip_derived_cl17984,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17983,zip_derived_cl403,zip_derived_cl16551]) ).
thf(zip_derived_cl17548_077,plain,
( ( op1 @ e13 @ ( op1 @ e14 @ e10 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl17547]) ).
thf(zip_derived_cl17993,plain,
( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17984,zip_derived_cl17548]) ).
thf(zip_derived_cl16330_078,plain,
( ( op1 @ e13 @ e11 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl16193]) ).
thf(zip_derived_cl17998,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17993,zip_derived_cl16330]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e10 @ e12 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18357,plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e12 ) )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17998,zip_derived_cl97]) ).
thf(zip_derived_cl33034,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33011,zip_derived_cl18357]) ).
thf(zip_derived_cl32681_079,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32678]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e10 @ e11 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl32697,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e12 )
= e10 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl32681,zip_derived_cl98]) ).
thf(zip_derived_cl33451,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33034,zip_derived_cl32697]) ).
thf(zip_derived_cl33465,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33451]) ).
thf(zip_derived_cl279_080,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl33557,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33465,zip_derived_cl279]) ).
thf(zip_derived_cl33011_081,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32997,zip_derived_cl16330]) ).
thf(zip_derived_cl33588,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl33557,zip_derived_cl33011]) ).
thf(zip_derived_cl31070_082,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31069,zip_derived_cl404]) ).
thf(zip_derived_cl294,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31077,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31070,zip_derived_cl294]) ).
thf(zip_derived_cl33600,plain,
( ( e10 != e10 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33588,zip_derived_cl31077]) ).
thf(zip_derived_cl33616,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl31480_083,plain,
( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31474]) ).
thf(zip_derived_cl33656,plain,
( ( e14 = e12 )
| zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33616,zip_derived_cl31480]) ).
thf(zip_derived_cl401_084,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33670,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33656,zip_derived_cl401]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl260,plain,
( ( op1 @ e13 @ e13 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl498_085,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16481,plain,
( e12
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl498]) ).
thf(zip_derived_cl16909,plain,
( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl16481]) ).
thf(zip_derived_cl17065_086,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17100,plain,
( ( e10 = e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl16909,zip_derived_cl17065]) ).
thf(zip_derived_cl408_087,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17101,plain,
( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17100,zip_derived_cl408]) ).
thf(zip_derived_cl273,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17296,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17101,zip_derived_cl273]) ).
thf(zip_derived_cl33791,plain,
( ( e12 != e12 )
| zip_tseitin_1
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33670,zip_derived_cl17296]) ).
thf(zip_derived_cl33807,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33791]) ).
thf(zip_derived_cl17240_088,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17081,zip_derived_cl17108]) ).
thf(zip_derived_cl80,plain,
( ( op1 @ ( op1 @ e14 @ e13 ) @ ( op1 @ e13 @ e14 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16547_089,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16549,plain,
( ( op1 @ ( op1 @ e14 @ e13 ) @ e11 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl16547]) ).
thf(zip_derived_cl17251,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17240,zip_derived_cl16549]) ).
thf(zip_derived_cl34594,plain,
( ( e12 = e13 )
| zip_tseitin_1
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33807,zip_derived_cl17251]) ).
thf(zip_derived_cl402_090,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl34616,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34594,zip_derived_cl402]) ).
thf(zip_derived_cl17251_091,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17240,zip_derived_cl16549]) ).
thf(zip_derived_cl17159_092,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17158,zip_derived_cl16373,zip_derived_cl402]) ).
thf(zip_derived_cl204,plain,
( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17161,plain,
( ( ( op1 @ e14 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17159,zip_derived_cl204]) ).
thf(zip_derived_cl17550_093,plain,
( ( op1 @ e10 @ e13 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl17547]) ).
thf(zip_derived_cl23355,plain,
( ( ( op1 @ e14 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17161,zip_derived_cl17550]) ).
thf(zip_derived_cl23357,plain,
( ( e13 != e13 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17251,zip_derived_cl23355]) ).
thf(zip_derived_cl23361,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23357]) ).
thf(zip_derived_cl451,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23371,plain,
( ( e13 != e13 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ~ zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl23361,zip_derived_cl451]) ).
thf(zip_derived_cl23381,plain,
( ~ zip_tseitin_1
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23371]) ).
thf(zip_derived_cl36106,plain,
( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl34616,zip_derived_cl23381]) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl259,plain,
( ( op1 @ e10 @ e14 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17547_094,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17554,plain,
( e13
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl17547]) ).
thf(zip_derived_cl17573,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17554]) ).
thf(zip_derived_cl17574,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17573]) ).
thf(zip_derived_cl253,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17065_095,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17072,plain,
( ( op1 @ e11 @ e14 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl17065]) ).
thf(zip_derived_cl254,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16547_096,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16554,plain,
( ( op1 @ e11 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl16547]) ).
thf(zip_derived_cl17575,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17574,zip_derived_cl17072,zip_derived_cl16554]) ).
thf(zip_derived_cl78_097,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17949,plain,
( ( ( op1 @ e14 @ ( op1 @ e14 @ e11 ) )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17575,zip_derived_cl78]) ).
thf(zip_derived_cl36122,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36106,zip_derived_cl17949]) ).
thf(zip_derived_cl17065_098,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl36149,plain,
( ( e10 = e14 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl36122,zip_derived_cl17065]) ).
thf(zip_derived_cl406_099,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl36150,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36149,zip_derived_cl406]) ).
thf(zip_derived_cl36106_100,plain,
( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference(clc,[status(thm)],[zip_derived_cl34616,zip_derived_cl23381]) ).
thf(zip_derived_cl90,plain,
( ( op1 @ ( op1 @ e14 @ e11 ) @ ( op1 @ e11 @ e14 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl36108,plain,
( ( ( op1 @ e14 @ ( op1 @ e11 @ e14 ) )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36106,zip_derived_cl90]) ).
thf(zip_derived_cl37069,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36150,zip_derived_cl36108]) ).
thf(zip_derived_cl37074,plain,
( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37069]) ).
thf(zip_derived_cl208_101,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl37090,plain,
( ( ( op1 @ e14 @ e10 )
!= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37074,zip_derived_cl208]) ).
thf(zip_derived_cl17836_102,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17835,zip_derived_cl17108,zip_derived_cl17070,zip_derived_cl401]) ).
thf(zip_derived_cl37132,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37144,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( e12 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17091,zip_derived_cl37132]) ).
thf(zip_derived_cl402_103,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37145,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37144,zip_derived_cl402]) ).
thf(zip_derived_cl16548_104,plain,
( ( op1 @ e11 @ ( op1 @ e14 @ e13 ) )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl16547]) ).
thf(zip_derived_cl37530,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37145,zip_derived_cl16548]) ).
thf(zip_derived_cl17491_105,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17489,zip_derived_cl408]) ).
thf(zip_derived_cl83_106,plain,
( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e11 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17666,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17491,zip_derived_cl83]) ).
thf(zip_derived_cl37771,plain,
( ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37530,zip_derived_cl17666]) ).
thf(zip_derived_cl37132_107,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37796,plain,
( ( e12 = e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl37771,zip_derived_cl37132]) ).
thf(zip_derived_cl402_108,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37797,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37796,zip_derived_cl402]) ).
thf(zip_derived_cl21,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl16508_109,plain,
( ( op1 @ e10 @ e13 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl498]) ).
thf(zip_derived_cl16558,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21,zip_derived_cl16508]) ).
thf(zip_derived_cl240_110,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16561,plain,
( ( e13
!= ( op1 @ e10 @ e14 ) )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16558,zip_derived_cl240]) ).
thf(zip_derived_cl17547_111,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17556,plain,
( ( e13 != e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16561,zip_derived_cl17547]) ).
thf(zip_derived_cl17557,plain,
( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17556]) ).
thf(zip_derived_cl247,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17066_112,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17105,plain,
( e14
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl17066]) ).
thf(zip_derived_cl17558,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17557,zip_derived_cl17105]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e10 @ e13 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17840,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e11 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17558,zip_derived_cl96]) ).
thf(zip_derived_cl38557,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37797,zip_derived_cl17840]) ).
thf(zip_derived_cl17836_113,plain,
( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17835,zip_derived_cl17108,zip_derived_cl17070,zip_derived_cl401]) ).
thf(zip_derived_cl95,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ ( op1 @ e10 @ e14 ) )
= e10 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17547_114,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17549,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl17547]) ).
thf(zip_derived_cl18246,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17836,zip_derived_cl17549]) ).
thf(zip_derived_cl268,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl18532,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18246,zip_derived_cl268]) ).
thf(zip_derived_cl37132_115,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37163,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl18532,zip_derived_cl37132]) ).
thf(zip_derived_cl405_116,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37164,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37163,zip_derived_cl405]) ).
thf(zip_derived_cl38574,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl38557,zip_derived_cl37164]) ).
thf(zip_derived_cl23355_117,plain,
( ( ( op1 @ e14 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17161,zip_derived_cl17550]) ).
thf(zip_derived_cl40172,plain,
( ( e13 != e13 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38574,zip_derived_cl23355]) ).
thf(zip_derived_cl40198,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40172]) ).
thf(zip_derived_cl62,plain,
( ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16554_118,plain,
( ( op1 @ e11 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl16547]) ).
thf(zip_derived_cl17812,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl62,zip_derived_cl16554]) ).
thf(zip_derived_cl42212,plain,
( ( e13 = e11 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl40198,zip_derived_cl17812]) ).
thf(zip_derived_cl273_119,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16610_120,plain,
( ( ( op1 @ e14 @ e10 )
!= e12 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16539,zip_derived_cl208]) ).
thf(zip_derived_cl37132_121,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37139,plain,
( ( e12 != e12 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl16610,zip_derived_cl37132]) ).
thf(zip_derived_cl37140,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37139]) ).
thf(zip_derived_cl17068_122,plain,
( ( op1 @ e14 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17065]) ).
thf(zip_derived_cl37141,plain,
( ( op1 @ e14 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37140,zip_derived_cl17068]) ).
thf(zip_derived_cl37318,plain,
( ( op1 @ e11 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl37141]) ).
thf(zip_derived_cl295,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl50,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16254_123,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl17577,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( e13 = e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl16254]) ).
thf(zip_derived_cl402_124,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl262,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl498_125,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16496,plain,
( ( op1 @ e12 @ e13 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl498]) ).
thf(zip_derived_cl17578,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17577,zip_derived_cl402,zip_derived_cl16496]) ).
thf(zip_derived_cl18251_126,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18250,zip_derived_cl17068]) ).
thf(zip_derived_cl77_127,plain,
( ( op1 @ ( op1 @ e12 @ e14 ) @ ( op1 @ e14 @ e12 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18542,plain,
( ( ( op1 @ ( op1 @ e12 @ e14 ) @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18251,zip_derived_cl77]) ).
thf(zip_derived_cl37132_128,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37165,plain,
( ( ( op1 @ ( op1 @ e12 @ e14 ) @ e11 )
= e14 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl18542,zip_derived_cl37132]) ).
thf(zip_derived_cl405_129,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37166,plain,
( ( op1 @ ( op1 @ e12 @ e14 ) @ e11 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37165,zip_derived_cl405]) ).
thf(zip_derived_cl37595,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17578,zip_derived_cl37166]) ).
thf(zip_derived_cl291,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e14 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl37132_130,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37137,plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl37132]) ).
thf(zip_derived_cl37600,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37595,zip_derived_cl37137]) ).
thf(zip_derived_cl52,plain,
( ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16254_131,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl17598,plain,
( ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( e13 = e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl16254]) ).
thf(zip_derived_cl404_132,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl252,plain,
( ( op1 @ e12 @ e14 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16547_133,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16553,plain,
( ( op1 @ e12 @ e14 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl16547]) ).
thf(zip_derived_cl17599,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17598,zip_derived_cl404,zip_derived_cl16553]) ).
thf(zip_derived_cl82,plain,
( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e13 @ e12 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16193_134,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl16276,plain,
( ( op1 @ ( op1 @ e12 @ e13 ) @ e14 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl16193]) ).
thf(zip_derived_cl17606,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17599,zip_derived_cl16276]) ).
thf(zip_derived_cl17554_135,plain,
( e13
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl17547]) ).
thf(zip_derived_cl17614,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17606,zip_derived_cl17554]) ).
thf(zip_derived_cl38311,plain,
( ( e14 = e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37600,zip_derived_cl17614]) ).
thf(zip_derived_cl403_136,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl38323,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl38311,zip_derived_cl403]) ).
thf(zip_derived_cl17614_137,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17606,zip_derived_cl17554]) ).
thf(zip_derived_cl39804,plain,
( ( e12 = e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl38323,zip_derived_cl17614]) ).
thf(zip_derived_cl39820,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( e12 = e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39804]) ).
thf(zip_derived_cl405_138,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl39821,plain,
( ( op1 @ e12 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl39820,zip_derived_cl405]) ).
thf(zip_derived_cl39834,plain,
( ( op1 @ e11 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl39821]) ).
thf(zip_derived_cl404_139,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl42237,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl42212,zip_derived_cl37318,zip_derived_cl39834,zip_derived_cl404]) ).
thf(zip_derived_cl33670_140,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33656,zip_derived_cl401]) ).
thf(zip_derived_cl33616_141,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl31911_142,plain,
( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31910,zip_derived_cl402]) ).
thf(zip_derived_cl230,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl31941,plain,
( ( e14
!= ( op1 @ e11 @ e14 ) )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31911,zip_derived_cl230]) ).
thf(zip_derived_cl33658,plain,
( ( e14 != e14 )
| zip_tseitin_1
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33616,zip_derived_cl31941]) ).
thf(zip_derived_cl33672,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33658]) ).
thf(zip_derived_cl33616_143,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl23361_144,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23357]) ).
thf(zip_derived_cl17251_145,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17240,zip_derived_cl16549]) ).
thf(zip_derived_cl8,plain,
( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl280,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e14 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16630,plain,
( ( e13
!= ( op1 @ e14 @ e11 ) )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl280]) ).
thf(zip_derived_cl16330_146,plain,
( ( op1 @ e13 @ e11 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl16193]) ).
thf(zip_derived_cl214,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl498_147,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16327,plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl498]) ).
thf(zip_derived_cl213,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16547_148,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl16550,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl16547]) ).
thf(zip_derived_cl16631,plain,
( ( e13
!= ( op1 @ e14 @ e11 ) )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16630,zip_derived_cl16330,zip_derived_cl16327,zip_derived_cl16550]) ).
thf(zip_derived_cl17394,plain,
( ( e13 != e13 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17251,zip_derived_cl16631]) ).
thf(zip_derived_cl17401,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17394]) ).
thf(zip_derived_cl91_149,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e11 @ e13 ) )
= e11 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17409,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17401,zip_derived_cl91]) ).
thf(zip_derived_cl30924,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl23361,zip_derived_cl17409]) ).
thf(zip_derived_cl30930,plain,
( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30924]) ).
thf(zip_derived_cl78_150,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl30931,plain,
( ( ( op1 @ ( op1 @ e11 @ e14 ) @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30930,zip_derived_cl78]) ).
thf(zip_derived_cl33655,plain,
( ( ( op1 @ e14 @ e14 )
= e14 )
| zip_tseitin_1
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33616,zip_derived_cl30931]) ).
thf(zip_derived_cl17065_151,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl33668,plain,
( ( e10 = e14 )
| zip_tseitin_1
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl33655,zip_derived_cl17065]) ).
thf(zip_derived_cl406_152,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl33669,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33668,zip_derived_cl406]) ).
thf(zip_derived_cl84,plain,
( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e10 ) )
= e13 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33764,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
= e13 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33669,zip_derived_cl84]) ).
thf(zip_derived_cl34355,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| zip_tseitin_1
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33672,zip_derived_cl33764]) ).
thf(zip_derived_cl34356,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34355]) ).
thf(zip_derived_cl33616_153,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl33616_154,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16254_155,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl17509,plain,
( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( e13 = e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl16254]) ).
thf(zip_derived_cl298,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17066_156,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl17110,plain,
( e14
!= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl17066]) ).
thf(zip_derived_cl400_157,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17510,plain,
( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17509,zip_derived_cl17110,zip_derived_cl400]) ).
thf(zip_derived_cl16276_158,plain,
( ( op1 @ ( op1 @ e12 @ e13 ) @ e14 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl16193]) ).
thf(zip_derived_cl17517,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17510,zip_derived_cl16276]) ).
thf(zip_derived_cl17065_159,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl17524,plain,
( ( e10 = e13 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17517,zip_derived_cl17065]) ).
thf(zip_derived_cl407_160,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17525,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17524,zip_derived_cl407]) ).
thf(zip_derived_cl255,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e12 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17684,plain,
( ( ( op1 @ e11 @ e14 )
!= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17525,zip_derived_cl255]) ).
thf(zip_derived_cl33653,plain,
( ( e14 != e14 )
| zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33616,zip_derived_cl17684]) ).
thf(zip_derived_cl33666,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33653]) ).
thf(zip_derived_cl33670_161,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33656,zip_derived_cl401]) ).
thf(zip_derived_cl33666_162,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33653]) ).
thf(zip_derived_cl88,plain,
( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e11 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33715,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e14 )
= e12 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33666,zip_derived_cl88]) ).
thf(zip_derived_cl34255,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| zip_tseitin_1
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33670,zip_derived_cl33715]) ).
thf(zip_derived_cl34256,plain,
( zip_tseitin_1
| ( ( op1 @ e12 @ e14 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34255]) ).
thf(zip_derived_cl33672_163,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33658]) ).
thf(zip_derived_cl33672_164,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33658]) ).
thf(zip_derived_cl8_165,plain,
( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl219,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16341,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl219]) ).
thf(zip_derived_cl16330_166,plain,
( ( op1 @ e13 @ e11 )
!= e14 ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl16193]) ).
thf(zip_derived_cl16327_167,plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl498]) ).
thf(zip_derived_cl16342,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16341,zip_derived_cl16330,zip_derived_cl16327]) ).
thf(zip_derived_cl33821,plain,
( ( e13 != e13 )
| zip_tseitin_1
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33672,zip_derived_cl16342]) ).
thf(zip_derived_cl33831,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33821]) ).
thf(zip_derived_cl16550_168,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl16547]) ).
thf(zip_derived_cl33832,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33831,zip_derived_cl16550]) ).
thf(zip_derived_cl33672_169,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33658]) ).
thf(zip_derived_cl57,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl243,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17547_170,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17552,plain,
( ( op1 @ e10 @ e11 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl17547]) ).
thf(zip_derived_cl225,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16254_171,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl16378,plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl16254]) ).
thf(zip_derived_cl17719,plain,
( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl57,zip_derived_cl17552,zip_derived_cl16378]) ).
thf(zip_derived_cl219_172,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17722,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17719,zip_derived_cl219]) ).
thf(zip_derived_cl33824,plain,
( ( e13 != e13 )
| zip_tseitin_1
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33672,zip_derived_cl17722]) ).
thf(zip_derived_cl33833,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33824]) ).
thf(zip_derived_cl34356_173,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34355]) ).
thf(zip_derived_cl234,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl34361,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl34356,zip_derived_cl234]) ).
thf(zip_derived_cl34749,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference(clc,[status(thm)],[zip_derived_cl33833,zip_derived_cl34361]) ).
thf(zip_derived_cl33670_174,plain,
( zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33656,zip_derived_cl401]) ).
thf(zip_derived_cl16539_175,plain,
( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16538,zip_derived_cl16533]) ).
thf(zip_derived_cl273_176,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16611,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16539,zip_derived_cl273]) ).
thf(zip_derived_cl33790,plain,
( ( e12 != e12 )
| zip_tseitin_1
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33670,zip_derived_cl16611]) ).
thf(zip_derived_cl33805,plain,
( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33790]) ).
thf(zip_derived_cl17068_177,plain,
( ( op1 @ e14 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17065]) ).
thf(zip_derived_cl33806,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33805,zip_derived_cl17068]) ).
thf(zip_derived_cl34749_178,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference(clc,[status(thm)],[zip_derived_cl33833,zip_derived_cl34361]) ).
thf(zip_derived_cl33616_179,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33600]) ).
thf(zip_derived_cl78_180,plain,
( ( op1 @ ( op1 @ e11 @ e14 ) @ ( op1 @ e14 @ e11 ) )
= e14 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33639,plain,
( ( ( op1 @ e14 @ ( op1 @ e14 @ e11 ) )
= e14 )
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl33616,zip_derived_cl78]) ).
thf(zip_derived_cl34778,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| zip_tseitin_1
| zip_tseitin_1 ),
inference('sup+',[status(thm)],[zip_derived_cl34749,zip_derived_cl33639]) ).
thf(zip_derived_cl34792,plain,
( zip_tseitin_1
| ( ( op1 @ e14 @ e13 )
= e14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34778]) ).
thf(zip_derived_cl33588_181,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl33557,zip_derived_cl33011]) ).
thf(zip_derived_cl33669_182,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33668,zip_derived_cl406]) ).
thf(zip_derived_cl33011_183,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| zip_tseitin_1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32997,zip_derived_cl16330]) ).
thf(zip_derived_cl32681_184,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32678]) ).
thf(co1,conjecture,
( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_11,negated_conjecture,
~ ( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl2386,plain,
( ( ( h1 @ e12 )
!= e24 )
| ( ( h1 @ e14 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e13 )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e14 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e14 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e14 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(ax6,axiom,
( ( ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) )
= e24 )
& ( ( op2 @ ( op2 @ e23 @ e24 ) @ ( op2 @ e24 @ e23 ) )
= e24 )
& ( ( op2 @ ( op2 @ e22 @ e24 ) @ ( op2 @ e24 @ e22 ) )
= e24 )
& ( ( op2 @ ( op2 @ e21 @ e24 ) @ ( op2 @ e24 @ e21 ) )
= e24 )
& ( ( op2 @ ( op2 @ e20 @ e24 ) @ ( op2 @ e24 @ e20 ) )
= e24 )
& ( ( op2 @ ( op2 @ e24 @ e23 ) @ ( op2 @ e23 @ e24 ) )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e23 @ e22 ) )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e23 @ e21 ) )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e23 @ e20 ) )
= e23 )
& ( ( op2 @ ( op2 @ e24 @ e22 ) @ ( op2 @ e22 @ e24 ) )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e22 @ e23 ) )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e22 @ e21 ) )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e22 @ e20 ) )
= e22 )
& ( ( op2 @ ( op2 @ e24 @ e21 ) @ ( op2 @ e21 @ e24 ) )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e21 @ e23 ) )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e21 @ e22 ) )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e21 @ e20 ) )
= e21 )
& ( ( op2 @ ( op2 @ e24 @ e20 ) @ ( op2 @ e20 @ e24 ) )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e20 @ e23 ) )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e20 @ e22 ) )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e20 @ e21 ) )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ).
thf(zip_derived_cl175,plain,
( ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax20,axiom,
( ( ( h5 @ e14 )
= ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) )
& ( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) )
& ( ( h5 @ e11 )
= ( op2 @ e24 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ) )
& ( ( h5 @ e10 )
= ( op2 @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ) )
& ( ( h5 @ e13 )
= e24 ) ) ).
thf(zip_derived_cl526,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl526_185,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16382,plain,
( ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl526,zip_derived_cl526]) ).
thf(ax15,axiom,
( ( e24
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( e22
= ( op2 @ e23 @ e23 ) )
& ( e21
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( e20
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) ) ).
thf(zip_derived_cl504,plain,
( e20
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl502,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl501,plain,
( e24
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl502_186,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16196,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl502_187,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16196_188,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl526_189,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl17305,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17305_190,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(ax16,axiom,
( ( ( h1 @ e14 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) )
& ( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) )
& ( ( h1 @ e13 )
= e20 ) ) ).
thf(zip_derived_cl506,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17309,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(ax5,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl126,plain,
( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl526_191,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl17305_192,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17306,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl525,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ ( op2 @ e24 @ e24 ) ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl526_193,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16228,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ ( h5 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl525,zip_derived_cl526]) ).
thf(zip_derived_cl17305_194,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17307,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl18397,plain,
( ( e20 = e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( h5 @ e14 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl17306,zip_derived_cl17307]) ).
thf(ax8,axiom,
( ( ( op2 @ e24 @ e23 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e23 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl396,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl506_195,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17061,plain,
( ( h1 @ e12 )
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl506]) ).
thf(zip_derived_cl17309_196,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17326,plain,
( e24
!= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17061,zip_derived_cl17309]) ).
thf(zip_derived_cl17307_197,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17431,plain,
( e24
!= ( h5 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17326,zip_derived_cl17307]) ).
thf(zip_derived_cl370,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16196_198,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl16986,plain,
( e24
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl16196]) ).
thf(ax10,axiom,
( ( e23 != e24 )
& ( e22 != e24 )
& ( e22 != e23 )
& ( e21 != e24 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e24 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl416,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18398,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18397,zip_derived_cl17431,zip_derived_cl16986,zip_derived_cl416]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ ( op2 @ e23 @ e24 ) @ ( op2 @ e24 @ e23 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl503,plain,
( e21
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl502_199,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16196_200,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl16634,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16635,plain,
( ( op2 @ e21 @ ( op2 @ e24 @ e23 ) )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl16634]) ).
thf(zip_derived_cl18404,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18398,zip_derived_cl16635]) ).
thf(zip_derived_cl127,plain,
( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17306_201,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl16634_202,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl505,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl506_203,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16219,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ ( h1 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl506]) ).
thf(zip_derived_cl17309_204,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17319,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl18412,plain,
( ( e20 = e23 )
| ( e21 = e23 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( h1 @ e14 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl17306,zip_derived_cl16634,zip_derived_cl17319]) ).
thf(zip_derived_cl321,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(ax18,axiom,
( ( ( h3 @ e14 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e10 )
= ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e13 )
= e22 ) ) ).
thf(zip_derived_cl516,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl502_205,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl502_206,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl516_207,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl16405,plain,
( ( h3 @ e12 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl502,zip_derived_cl502,zip_derived_cl516]) ).
thf(zip_derived_cl16406,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl16873,plain,
( e23
!= ( op2 @ e22 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl16406]) ).
thf(zip_derived_cl414,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl417,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18413,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18412,zip_derived_cl16873,zip_derived_cl414,zip_derived_cl417]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ ( op2 @ e21 @ e24 ) @ ( op2 @ e24 @ e21 ) )
= e24 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl18414,plain,
( ( ( op2 @ e23 @ ( op2 @ e24 @ e21 ) )
= e24 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18413,zip_derived_cl178]) ).
thf(zip_derived_cl19309,plain,
( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18404,zip_derived_cl18414]) ).
thf(zip_derived_cl16634_208,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl19314,plain,
( ( e21 = e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( h1 @ e14 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19309,zip_derived_cl16634]) ).
thf(zip_derived_cl413,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19315,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19314,zip_derived_cl413]) ).
thf(zip_derived_cl18413_209,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18412,zip_derived_cl16873,zip_derived_cl414,zip_derived_cl417]) ).
thf(zip_derived_cl19332,plain,
( ( e24 = e23 )
| ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e14 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19315,zip_derived_cl18413]) ).
thf(zip_derived_cl19337,plain,
( ( ( h1 @ e14 )
= e23 )
| ( e24 = e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19332]) ).
thf(zip_derived_cl410,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19338,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl508,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl506_210,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17309_211,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17318,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl17319_212,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17318_213,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl17319_214,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17471,plain,
( ( h1 @ e10 )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl17318,zip_derived_cl17319,zip_derived_cl17318,zip_derived_cl17319]) ).
thf(zip_derived_cl19338_215,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19338_216,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl502_217,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl19354,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl507,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl506_218,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16219_219,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ ( h1 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl506]) ).
thf(zip_derived_cl16755,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ ( h1 @ e14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl506,zip_derived_cl16219]) ).
thf(zip_derived_cl19338_220,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19342,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl172,plain,
( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17319_221,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17318_222,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl18970,plain,
( ( ( h1 @ e14 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( e24 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl17319,zip_derived_cl17318]) ).
thf(zip_derived_cl413_223,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl357,plain,
( ( op2 @ e20 @ e24 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16634_224,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16951,plain,
( ( op2 @ e20 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl16634]) ).
thf(zip_derived_cl17319_225,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17353,plain,
( ( h1 @ e14 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl16951,zip_derived_cl17319]) ).
thf(zip_derived_cl18971,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18970,zip_derived_cl413,zip_derived_cl17353]) ).
thf(zip_derived_cl19395,plain,
( ( ( h1 @ e11 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19342,zip_derived_cl18971]) ).
thf(zip_derived_cl376,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl102,plain,
( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl301,plain,
( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl526_226,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16754,plain,
( ( op2 @ e24 @ e22 )
!= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl526]) ).
thf(zip_derived_cl17305_227,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17311,plain,
( ( op2 @ e24 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16754,zip_derived_cl17305]) ).
thf(zip_derived_cl371,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16406_228,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl16987,plain,
( e23
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl16406]) ).
thf(zip_derived_cl16986_229,plain,
( e24
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl16196]) ).
thf(zip_derived_cl18093,plain,
( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl102,zip_derived_cl17311,zip_derived_cl16987,zip_derived_cl16986]) ).
thf(zip_derived_cl308,plain,
( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17307_230,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17341,plain,
( ( h5 @ e14 )
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl17307]) ).
thf(zip_derived_cl18103,plain,
( ( ( h5 @ e14 )
!= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18093,zip_derived_cl17341]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e22 @ e23 ) )
= e22 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16196_231,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl515,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl516_232,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl16221,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl516]) ).
thf(zip_derived_cl16405_233,plain,
( ( h3 @ e12 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl502,zip_derived_cl502,zip_derived_cl516]) ).
thf(zip_derived_cl16407,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16453,plain,
( ( op2 @ e24 @ ( h3 @ e14 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl16196,zip_derived_cl16407]) ).
thf(zip_derived_cl137,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl502_234,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16407_235,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl18556,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( e22 = e23 )
| ( ( h3 @ e14 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl502,zip_derived_cl16407]) ).
thf(zip_derived_cl322,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16406_236,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl16407_237,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16874,plain,
( e23
!= ( h3 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl16406,zip_derived_cl16407]) ).
thf(zip_derived_cl412,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18557,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18556,zip_derived_cl16874,zip_derived_cl412]) ).
thf(zip_derived_cl19342_238,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl19390,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( h1 @ e11 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18557,zip_derived_cl19342]) ).
thf(zip_derived_cl340,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e20 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17319_239,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17347,plain,
( ( op2 @ e20 @ e23 )
!= ( h1 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl17319]) ).
thf(zip_derived_cl19338_240,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19344,plain,
( ( op2 @ e20 @ e23 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl17347,zip_derived_cl19338]) ).
thf(zip_derived_cl19342_241,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl19394,plain,
( ( h1 @ e11 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl19344,zip_derived_cl19342]) ).
thf(zip_derived_cl20356,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19390,zip_derived_cl19394]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ ( op2 @ e24 @ e23 ) @ ( op2 @ e23 @ e24 ) )
= e23 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16634_242,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16636,plain,
( ( op2 @ ( op2 @ e24 @ e23 ) @ e21 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl16634]) ).
thf(zip_derived_cl20362,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20356,zip_derived_cl16636]) ).
thf(zip_derived_cl167,plain,
( ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17307_243,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17318_244,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl18911,plain,
( ( ( h5 @ e14 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( e24 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl17307,zip_derived_cl17318]) ).
thf(zip_derived_cl410_245,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl328,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16406_246,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl16898,plain,
( ( op2 @ e22 @ e20 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl16406]) ).
thf(zip_derived_cl18912,plain,
( ( ( h5 @ e14 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18911,zip_derived_cl410,zip_derived_cl16898]) ).
thf(zip_derived_cl108,plain,
( ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl313,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16634_247,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16832,plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl16634]) ).
thf(zip_derived_cl314,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl502_248,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16833,plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl502]) ).
thf(zip_derived_cl315,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16196_249,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl16834,plain,
( ( op2 @ e23 @ e21 )
!= e24 ),
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl16196]) ).
thf(zip_derived_cl18136,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl16832,zip_derived_cl16833,zip_derived_cl16834]) ).
thf(zip_derived_cl319,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18139,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18136,zip_derived_cl319]) ).
thf(zip_derived_cl19161,plain,
( ( e23 != e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( h5 @ e14 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18912,zip_derived_cl18139]) ).
thf(zip_derived_cl19164,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( h5 @ e14 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19161]) ).
thf(zip_derived_cl20432,plain,
( ( e23 = e20 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( h5 @ e14 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20362,zip_derived_cl19164]) ).
thf(zip_derived_cl417_250,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20436,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( h5 @ e14 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20432,zip_derived_cl417]) ).
thf(zip_derived_cl20356_251,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19390,zip_derived_cl19394]) ).
thf(zip_derived_cl307,plain,
( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17307_252,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17340,plain,
( ( h5 @ e14 )
!= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl17307]) ).
thf(zip_derived_cl20366,plain,
( ( ( h5 @ e14 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20356,zip_derived_cl17340]) ).
thf(zip_derived_cl21465,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(clc,[status(thm)],[zip_derived_cl20436,zip_derived_cl20366]) ).
thf(zip_derived_cl135,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl502_253,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16407_254,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl18506,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( e22 = e24 )
| ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl502,zip_derived_cl16407]) ).
thf(zip_derived_cl347,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl506_255,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16935,plain,
( ( h1 @ e12 )
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl506]) ).
thf(zip_derived_cl17309_256,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17323,plain,
( e24
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16935,zip_derived_cl17309]) ).
thf(zip_derived_cl411,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18507,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18506,zip_derived_cl17323,zip_derived_cl411]) ).
thf(zip_derived_cl16635_257,plain,
( ( op2 @ e21 @ ( op2 @ e24 @ e23 ) )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl16634]) ).
thf(zip_derived_cl18513,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18507,zip_derived_cl16635]) ).
thf(zip_derived_cl125,plain,
( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17306_258,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl16634_259,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl17319_260,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl18383,plain,
( ( e20 = e24 )
| ( e21 = e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( h1 @ e14 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl17306,zip_derived_cl16634,zip_derived_cl17319]) ).
thf(zip_derived_cl346,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl506_261,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16934,plain,
( ( h1 @ e12 )
!= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl506]) ).
thf(zip_derived_cl17309_262,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17322,plain,
( e24
!= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16934,zip_derived_cl17309]) ).
thf(zip_derived_cl17319_263,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17385,plain,
( e24
!= ( h1 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17322,zip_derived_cl17319]) ).
thf(zip_derived_cl413_264,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl416_265,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18384,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18383,zip_derived_cl17385,zip_derived_cl413,zip_derived_cl416]) ).
thf(zip_derived_cl320,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16407_266,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16872,plain,
( ( h3 @ e14 )
!= ( op2 @ e22 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl16407]) ).
thf(zip_derived_cl18391,plain,
( ( ( h3 @ e14 )
!= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18384,zip_derived_cl16872]) ).
thf(zip_derived_cl19850,plain,
( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(clc,[status(thm)],[zip_derived_cl18513,zip_derived_cl18391]) ).
thf(zip_derived_cl21481,plain,
( ( e23 = e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21465,zip_derived_cl19850]) ).
thf(zip_derived_cl410_267,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21487,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21481,zip_derived_cl410]) ).
thf(zip_derived_cl169,plain,
( ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17307_268,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17318_269,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl18934,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( e24 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl17307,zip_derived_cl17318]) ).
thf(zip_derived_cl411_270,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl317,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl502_271,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16866,plain,
( ( op2 @ e23 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl502]) ).
thf(zip_derived_cl18935,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18934,zip_derived_cl411,zip_derived_cl16866]) ).
thf(zip_derived_cl129,plain,
( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e22 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17306_272,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl16634_273,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl17319_274,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl18439,plain,
( ( e20 = e22 )
| ( e21 = e22 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( h1 @ e14 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl17306,zip_derived_cl16634,zip_derived_cl17319]) ).
thf(zip_derived_cl415,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl418,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18440,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( h1 @ e14 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18439,zip_derived_cl415,zip_derived_cl418]) ).
thf(zip_derived_cl19338_275,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19355,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( e23 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18440,zip_derived_cl19338]) ).
thf(zip_derived_cl412_276,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19356,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19355,zip_derived_cl412]) ).
thf(zip_derived_cl326,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19455,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19356,zip_derived_cl326]) ).
thf(zip_derived_cl19788,plain,
( ( e22 != e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18935,zip_derived_cl19455]) ).
thf(zip_derived_cl19791,plain,
( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19788]) ).
thf(zip_derived_cl21520,plain,
( ( e24 = e22 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21487,zip_derived_cl19791]) ).
thf(zip_derived_cl411_277,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21525,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21520,zip_derived_cl411]) ).
thf(zip_derived_cl170,plain,
( ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17319_278,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17318_279,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl18944,plain,
( ( ( h1 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( e24 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl17319,zip_derived_cl17318]) ).
thf(zip_derived_cl411_280,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl367,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl502_281,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16984,plain,
( ( op2 @ e20 @ e23 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl502]) ).
thf(zip_derived_cl18945,plain,
( ( ( h1 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18944,zip_derived_cl411,zip_derived_cl16984]) ).
thf(zip_derived_cl19338_282,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19357,plain,
( ( e23 = e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18945,zip_derived_cl19338]) ).
thf(zip_derived_cl412_283,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19358,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19357,zip_derived_cl412]) ).
thf(zip_derived_cl18093_284,plain,
( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl102,zip_derived_cl17311,zip_derived_cl16987,zip_derived_cl16986]) ).
thf(zip_derived_cl376_285,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18098,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18093,zip_derived_cl376]) ).
thf(zip_derived_cl19472,plain,
( ( e22 != e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19358,zip_derived_cl18098]) ).
thf(zip_derived_cl19475,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19472]) ).
thf(zip_derived_cl130,plain,
( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17306_286,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl17307_287,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl18459,plain,
( ( e20 = e22 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl17306,zip_derived_cl17307]) ).
thf(zip_derived_cl360,plain,
( ( op2 @ e23 @ e23 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl502_288,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16952,plain,
( e22
!= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl502]) ).
thf(zip_derived_cl418_289,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18460,plain,
( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18459,zip_derived_cl16952,zip_derived_cl418]) ).
thf(zip_derived_cl19583,plain,
( ( e21 = e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19475,zip_derived_cl18460]) ).
thf(zip_derived_cl415_290,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19585,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19583,zip_derived_cl415]) ).
thf(zip_derived_cl18398_291,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18397,zip_derived_cl17431,zip_derived_cl16986,zip_derived_cl416]) ).
thf(zip_derived_cl16636_292,plain,
( ( op2 @ ( op2 @ e24 @ e23 ) @ e21 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl16634]) ).
thf(zip_derived_cl18405,plain,
( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18398,zip_derived_cl16636]) ).
thf(zip_derived_cl21043,plain,
( ( e22 = e23 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19585,zip_derived_cl18405]) ).
thf(zip_derived_cl412_293,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21053,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21043,zip_derived_cl412]) ).
thf(zip_derived_cl19585_294,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19583,zip_derived_cl415]) ).
thf(zip_derived_cl21928,plain,
( ( e24 = e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21053,zip_derived_cl19585]) ).
thf(zip_derived_cl21938,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( e24 = e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21928]) ).
thf(zip_derived_cl411_295,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21939,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21938,zip_derived_cl411]) ).
thf(zip_derived_cl194,plain,
( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e21 @ e20 ) )
= e21 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl21941,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21939,zip_derived_cl194]) ).
thf(zip_derived_cl23955,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21525,zip_derived_cl21941]) ).
thf(zip_derived_cl23957,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23955]) ).
thf(zip_derived_cl16407_296,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl27639,plain,
( ( ( h3 @ e14 )
= e21 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl23957,zip_derived_cl16407]) ).
thf(zip_derived_cl21941_297,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21939,zip_derived_cl194]) ).
thf(zip_derived_cl27670,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( h5 @ e14 )
= e22 )
| ( ( h3 @ e14 )
= e21 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27639,zip_derived_cl21941]) ).
thf(zip_derived_cl27692,plain,
( ( ( h3 @ e14 )
= e21 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27670]) ).
thf(zip_derived_cl16406_298,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl27723,plain,
( ( e23 = e21 )
| ( ( h5 @ e14 )
= e22 )
| ( ( h3 @ e14 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27692,zip_derived_cl16406]) ).
thf(zip_derived_cl414_299,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl27724,plain,
( ( ( h5 @ e14 )
= e22 )
| ( ( h3 @ e14 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27723,zip_derived_cl414]) ).
thf(zip_derived_cl195,plain,
( ( op2 @ ( op2 @ e24 @ e20 ) @ ( op2 @ e20 @ e24 ) )
= e20 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17307_300,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17339,plain,
( ( op2 @ ( h5 @ e14 ) @ ( op2 @ e20 @ e24 ) )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl17307]) ).
thf(zip_derived_cl17319_301,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17470,plain,
( ( op2 @ ( h5 @ e14 ) @ ( h1 @ e14 ) )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17339,zip_derived_cl17319]) ).
thf(zip_derived_cl19338_302,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19353,plain,
( ( op2 @ ( h5 @ e14 ) @ e23 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17470,zip_derived_cl19338]) ).
thf(zip_derived_cl27736,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( h3 @ e14 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27724,zip_derived_cl19353]) ).
thf(zip_derived_cl16407_303,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl27787,plain,
( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e14 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27736,zip_derived_cl16407]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e23 @ e22 ) )
= e23 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl16407_304,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16196_305,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl16433,plain,
( ( op2 @ ( h3 @ e14 ) @ e24 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl16407,zip_derived_cl16196]) ).
thf(zip_derived_cl27797,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( h3 @ e14 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27787,zip_derived_cl16433]) ).
thf(zip_derived_cl359,plain,
( ( op2 @ e20 @ e24 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17319_306,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17351,plain,
( ( h1 @ e14 )
!= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl17319]) ).
thf(zip_derived_cl19338_307,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19348,plain,
( e23
!= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl17351,zip_derived_cl19338]) ).
thf(zip_derived_cl27828,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl17307_308,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl27838,plain,
( ( h5 @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl16453,zip_derived_cl27828,zip_derived_cl17307]) ).
thf(zip_derived_cl27967,plain,
( ( e22 != e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl18103,zip_derived_cl27838]) ).
thf(zip_derived_cl27968,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl28104,plain,
( ( op2 @ e20 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl27968]) ).
thf(zip_derived_cl28279,plain,
( ( e21 != e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( h1 @ e11 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19395,zip_derived_cl28104]) ).
thf(zip_derived_cl28286,plain,
( ( ( h1 @ e11 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28279]) ).
thf(zip_derived_cl19342_309,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl174,plain,
( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17319_310,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17318_311,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl19011,plain,
( ( ( h1 @ e14 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( e24 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl17319,zip_derived_cl17318]) ).
thf(zip_derived_cl416_312,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl356,plain,
( ( op2 @ e20 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl526_313,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16950,plain,
( ( op2 @ e20 @ e24 )
!= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl526]) ).
thf(zip_derived_cl17305_314,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17317,plain,
( ( op2 @ e20 @ e24 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16950,zip_derived_cl17305]) ).
thf(zip_derived_cl17319_315,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl17384,plain,
( ( h1 @ e14 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17317,zip_derived_cl17319]) ).
thf(zip_derived_cl19012,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19011,zip_derived_cl416,zip_derived_cl17384]) ).
thf(zip_derived_cl19396,plain,
( ( ( h1 @ e11 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19342,zip_derived_cl19012]) ).
thf(zip_derived_cl19358_316,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19357,zip_derived_cl412]) ).
thf(zip_derived_cl20992,plain,
( ( e20 = e22 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19396,zip_derived_cl19358]) ).
thf(zip_derived_cl418_317,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20999,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20992,zip_derived_cl418]) ).
thf(zip_derived_cl28552,plain,
( ( e21 = e22 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e11 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl28286,zip_derived_cl20999]) ).
thf(zip_derived_cl368,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16407_318,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16985,plain,
( ( op2 @ e20 @ e23 )
!= ( h3 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl16407]) ).
thf(zip_derived_cl19342_319,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl19387,plain,
( ( h1 @ e11 )
!= ( h3 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16985,zip_derived_cl19342]) ).
thf(zip_derived_cl27828_320,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl27862,plain,
( ( h1 @ e11 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl19387,zip_derived_cl27828]) ).
thf(zip_derived_cl415_321,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl28560,plain,
( ( ( h1 @ e11 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28552,zip_derived_cl27862,zip_derived_cl415]) ).
thf(zip_derived_cl28286_322,plain,
( ( ( h1 @ e11 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28279]) ).
thf(zip_derived_cl28621,plain,
( ( e20 = e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e11 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl28560,zip_derived_cl28286]) ).
thf(zip_derived_cl28633,plain,
( ( ( h1 @ e11 )
= e21 )
| ( e20 = e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28621]) ).
thf(zip_derived_cl419,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl28634,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl509,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17065_323,plain,
( e10
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl498,zip_derived_cl16193,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl19354_324,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl19338_325,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19338_326,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl502_327,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl19338_328,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl509_329,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl138,plain,
( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16634_330,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl502_331,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16196_332,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl18583,plain,
( ( e21 = e23 )
| ( e22 = e23 )
| ( e24 = e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl16634,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl410_333,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl412_334,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl414_335,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18584,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18583,zip_derived_cl410,zip_derived_cl412,zip_derived_cl414]) ).
thf(zip_derived_cl380,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18588,plain,
( ( e23
!= ( op2 @ e24 @ e21 ) )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18584,zip_derived_cl380]) ).
thf(zip_derived_cl18507_336,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18506,zip_derived_cl17323,zip_derived_cl411]) ).
thf(zip_derived_cl16636_337,plain,
( ( op2 @ ( op2 @ e24 @ e23 ) @ e21 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl16634]) ).
thf(zip_derived_cl18514,plain,
( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18507,zip_derived_cl16636]) ).
thf(zip_derived_cl330,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20005,plain,
( ( e24
!= ( op2 @ e21 @ e24 ) )
| ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18514,zip_derived_cl330]) ).
thf(zip_derived_cl27828_338,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl27864,plain,
( ( e24
!= ( op2 @ e21 @ e24 ) )
| ( e20 = e24 )
| ( ( op2 @ e24 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl20005,zip_derived_cl27828]) ).
thf(zip_derived_cl416_339,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl27865,plain,
( ( e24
!= ( op2 @ e21 @ e24 ) )
| ( ( op2 @ e24 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27864,zip_derived_cl416]) ).
thf(zip_derived_cl18384_340,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18383,zip_derived_cl17385,zip_derived_cl413,zip_derived_cl416]) ).
thf(zip_derived_cl323,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18387,plain,
( ( ( op2 @ e22 @ e21 )
!= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18384,zip_derived_cl323]) ).
thf(zip_derived_cl117,plain,
( ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl375,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16406_341,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl17001,plain,
( ( op2 @ e21 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl16406]) ).
thf(zip_derived_cl374,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16196_342,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl17000,plain,
( ( op2 @ e21 @ e22 )
!= e24 ),
inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl16196]) ).
thf(zip_derived_cl18285,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl117,zip_derived_cl17001,zip_derived_cl17000]) ).
thf(zip_derived_cl19356_343,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19355,zip_derived_cl412]) ).
thf(zip_derived_cl146,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16406_344,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl18648,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( e23 = e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl16406]) ).
thf(zip_derived_cl398,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl506_345,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17063,plain,
( ( h1 @ e12 )
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl398,zip_derived_cl506]) ).
thf(zip_derived_cl17309_346,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17328,plain,
( e24
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17063,zip_derived_cl17309]) ).
thf(zip_derived_cl410_347,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18649,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18648,zip_derived_cl17328,zip_derived_cl410]) ).
thf(zip_derived_cl16407_348,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl18651,plain,
( ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18649,zip_derived_cl16407]) ).
thf(zip_derived_cl20230,plain,
( ( e22 = e24 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19356,zip_derived_cl18651]) ).
thf(zip_derived_cl411_349,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20233,plain,
( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20230,zip_derived_cl411]) ).
thf(zip_derived_cl331,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21272,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20233,zip_derived_cl331]) ).
thf(zip_derived_cl27828_350,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl27883,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( e20 = e24 )
| ( ( op2 @ e22 @ e21 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl21272,zip_derived_cl27828]) ).
thf(zip_derived_cl416_351,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl27884,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27883,zip_derived_cl416]) ).
thf(zip_derived_cl29797,plain,
( ( e22 != e22 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18285,zip_derived_cl27884]) ).
thf(zip_derived_cl29799,plain,
( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29797]) ).
thf(zip_derived_cl379,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl122,plain,
( ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl378,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16406_352,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl17003,plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl16406]) ).
thf(zip_derived_cl377,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16196_353,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl17002,plain,
( ( op2 @ e20 @ e22 )
!= e24 ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl16196]) ).
thf(zip_derived_cl18330,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl122,zip_derived_cl17003,zip_derived_cl17002]) ).
thf(zip_derived_cl19850_354,plain,
( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(clc,[status(thm)],[zip_derived_cl18513,zip_derived_cl18391]) ).
thf(ax13,axiom,
( ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e24 )
!= e24 ) )
| ( ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e24 )
!= e24 ) )
| ( ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e24 )
!= e24 ) )
| ( ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e24 )
!= e24 ) )
| ( ( ( op2 @ e24 @ e20 )
!= e20 )
& ( ( op2 @ e24 @ e21 )
!= e21 )
& ( ( op2 @ e24 @ e22 )
!= e22 )
& ( ( op2 @ e24 @ e23 )
!= e23 )
& ( ( op2 @ e24 @ e24 )
!= e24 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_9: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_9
=> ( ( ( op2 @ e24 @ e24 )
!= e24 )
& ( ( op2 @ e24 @ e23 )
!= e23 )
& ( ( op2 @ e24 @ e22 )
!= e22 )
& ( ( op2 @ e24 @ e21 )
!= e21 )
& ( ( op2 @ e24 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_8: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_8
=> ( ( ( op2 @ e23 @ e24 )
!= e24 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_7: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e22 @ e24 )
!= e24 )
& ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_6: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e21 @ e24 )
!= e24 )
& ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_5: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e20 @ e24 )
!= e24 )
& ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) ) ) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ) ).
thf(zip_derived_cl496,plain,
( zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl18557_355,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18556,zip_derived_cl16874,zip_derived_cl412]) ).
thf(zip_derived_cl492,plain,
( ( ( op2 @ e24 @ e23 )
!= e23 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl18562,plain,
( ( e23 != e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ~ zip_tseitin_9 ),
inference('sup-',[status(thm)],[zip_derived_cl18557,zip_derived_cl492]) ).
thf(zip_derived_cl18572,plain,
( ~ zip_tseitin_9
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18562]) ).
thf(zip_derived_cl19342_356,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl19391,plain,
( ~ zip_tseitin_9
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( h1 @ e11 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18572,zip_derived_cl19342]) ).
thf(zip_derived_cl19394_357,plain,
( ( h1 @ e11 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl19344,zip_derived_cl19342]) ).
thf(zip_derived_cl19619,plain,
( ~ zip_tseitin_9
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19391,zip_derived_cl19394]) ).
thf(zip_derived_cl19620,plain,
( zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_7
| zip_tseitin_8
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl19619]) ).
thf(zip_derived_cl19866,plain,
( ( e24 = e23 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ),
inference('sup+',[status(thm)],[zip_derived_cl19850,zip_derived_cl19620]) ).
thf(zip_derived_cl410_358,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19872,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19866,zip_derived_cl410]) ).
thf(zip_derived_cl18384_359,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18383,zip_derived_cl17385,zip_derived_cl413,zip_derived_cl416]) ).
thf(zip_derived_cl481,plain,
( ( ( op2 @ e22 @ e24 )
!= e24 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl18390,plain,
( ( e24 != e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ~ zip_tseitin_7 ),
inference('sup-',[status(thm)],[zip_derived_cl18384,zip_derived_cl481]) ).
thf(zip_derived_cl18396,plain,
( ~ zip_tseitin_7
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18390]) ).
thf(zip_derived_cl19897,plain,
( zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_8
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(clc,[status(thm)],[zip_derived_cl19872,zip_derived_cl18396]) ).
thf(zip_derived_cl110,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl351,plain,
( ( op2 @ e22 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl526_360,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16946,plain,
( ( op2 @ e22 @ e24 )
!= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl526]) ).
thf(zip_derived_cl17305_361,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17315,plain,
( ( op2 @ e22 @ e24 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16946,zip_derived_cl17305]) ).
thf(zip_derived_cl352,plain,
( ( op2 @ e22 @ e24 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16634_362,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16947,plain,
( ( op2 @ e22 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl16634]) ).
thf(zip_derived_cl16873_363,plain,
( e23
!= ( op2 @ e22 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl16406]) ).
thf(zip_derived_cl18183,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl110,zip_derived_cl17315,zip_derived_cl16947,zip_derived_cl16873]) ).
thf(zip_derived_cl355,plain,
( ( op2 @ e21 @ e24 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18188,plain,
( ( ( op2 @ e21 @ e24 )
!= e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18183,zip_derived_cl355]) ).
thf(zip_derived_cl19906,plain,
( ( e24 != e24 )
| zip_tseitin_8
| zip_tseitin_6
| zip_tseitin_5
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19897,zip_derived_cl18188]) ).
thf(zip_derived_cl19910,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_8 ),
inference(simplify,[status(thm)],[zip_derived_cl19906]) ).
thf(zip_derived_cl18651_364,plain,
( ( ( h3 @ e14 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18649,zip_derived_cl16407]) ).
thf(zip_derived_cl20231,plain,
( ( e22 = e24 )
| zip_tseitin_8
| zip_tseitin_6
| zip_tseitin_5
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19910,zip_derived_cl18651]) ).
thf(zip_derived_cl411_365,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20234,plain,
( zip_tseitin_8
| zip_tseitin_6
| zip_tseitin_5
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( h3 @ e14 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20231,zip_derived_cl411]) ).
thf(zip_derived_cl18387_366,plain,
( ( ( op2 @ e22 @ e21 )
!= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18384,zip_derived_cl323]) ).
thf(zip_derived_cl21323,plain,
( ( e24 != e24 )
| ( ( h3 @ e14 )
= e24 )
| zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_8
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20234,zip_derived_cl18387]) ).
thf(zip_derived_cl21330,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| zip_tseitin_8
| zip_tseitin_6
| zip_tseitin_5
| ( ( h3 @ e14 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21323]) ).
thf(zip_derived_cl20362_367,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20356,zip_derived_cl16636]) ).
thf(zip_derived_cl144,plain,
( ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl16634_368,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16196_369,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl18633,plain,
( ( e21 = e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( e24 = e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl16634,zip_derived_cl16196]) ).
thf(zip_derived_cl416_370,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl419_371,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18634,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18633,zip_derived_cl416,zip_derived_cl419]) ).
thf(zip_derived_cl502_372,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl18635,plain,
( ( e22 = e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18634,zip_derived_cl502]) ).
thf(zip_derived_cl418_373,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18637,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18635,zip_derived_cl418]) ).
thf(zip_derived_cl20430,plain,
( ( e23 = e20 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20362,zip_derived_cl18637]) ).
thf(zip_derived_cl417_374,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20434,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20430,zip_derived_cl417]) ).
thf(zip_derived_cl19850_375,plain,
( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(clc,[status(thm)],[zip_derived_cl18513,zip_derived_cl18391]) ).
thf(zip_derived_cl20498,plain,
( ( e23 = e24 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20434,zip_derived_cl19850]) ).
thf(zip_derived_cl410_376,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20505,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20498,zip_derived_cl410]) ).
thf(zip_derived_cl490,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl20527,plain,
( ( e20 != e20 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ~ zip_tseitin_8 ),
inference('sup-',[status(thm)],[zip_derived_cl20505,zip_derived_cl490]) ).
thf(zip_derived_cl20539,plain,
( ~ zip_tseitin_8
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20527]) ).
thf(zip_derived_cl22162,plain,
( ( ( h3 @ e14 )
= e24 )
| zip_tseitin_5
| zip_tseitin_6
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(clc,[status(thm)],[zip_derived_cl21330,zip_derived_cl20539]) ).
thf(zip_derived_cl18391_377,plain,
( ( ( h3 @ e14 )
!= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18384,zip_derived_cl16872]) ).
thf(zip_derived_cl22163,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference(clc,[status(thm)],[zip_derived_cl22162,zip_derived_cl18391]) ).
thf(zip_derived_cl19791_378,plain,
( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19788]) ).
thf(zip_derived_cl22175,plain,
( ( e24 = e22 )
| zip_tseitin_5
| zip_tseitin_6
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22163,zip_derived_cl19791]) ).
thf(zip_derived_cl411_379,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22181,plain,
( zip_tseitin_5
| zip_tseitin_6
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22175,zip_derived_cl411]) ).
thf(zip_derived_cl21941_380,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21939,zip_derived_cl194]) ).
thf(zip_derived_cl23956,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( h5 @ e14 )
= e22 )
| zip_tseitin_6
| zip_tseitin_5
| ( ( h5 @ e14 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22181,zip_derived_cl21941]) ).
thf(zip_derived_cl23958,plain,
( zip_tseitin_5
| zip_tseitin_6
| ( ( h5 @ e14 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23956]) ).
thf(zip_derived_cl16406_381,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl23959,plain,
( ( e23 = e21 )
| ( ( h5 @ e14 )
= e22 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference('sup+',[status(thm)],[zip_derived_cl23958,zip_derived_cl16406]) ).
thf(zip_derived_cl414_382,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl23960,plain,
( ( ( h5 @ e14 )
= e22 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23959,zip_derived_cl414]) ).
thf(zip_derived_cl18103_383,plain,
( ( ( h5 @ e14 )
!= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18093,zip_derived_cl17341]) ).
thf(zip_derived_cl23967,plain,
( ( e22 != e22 )
| zip_tseitin_5
| zip_tseitin_6
| ( ( op2 @ e24 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23960,zip_derived_cl18103]) ).
thf(zip_derived_cl23984,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference(simplify,[status(thm)],[zip_derived_cl23967]) ).
thf(zip_derived_cl22163_384,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference(clc,[status(thm)],[zip_derived_cl22162,zip_derived_cl18391]) ).
thf(zip_derived_cl18188_385,plain,
( ( ( op2 @ e21 @ e24 )
!= e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18183,zip_derived_cl355]) ).
thf(zip_derived_cl22172,plain,
( ( e24 != e24 )
| zip_tseitin_5
| zip_tseitin_6
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22163,zip_derived_cl18188]) ).
thf(zip_derived_cl22179,plain,
( ( ( op2 @ e22 @ e24 )
= e22 )
| zip_tseitin_6
| zip_tseitin_5 ),
inference(simplify,[status(thm)],[zip_derived_cl22172]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ ( op2 @ e24 @ e22 ) @ ( op2 @ e22 @ e24 ) )
= e22 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22210,plain,
( ( ( op2 @ ( op2 @ e24 @ e22 ) @ e22 )
= e22 )
| zip_tseitin_5
| zip_tseitin_6 ),
inference('sup+',[status(thm)],[zip_derived_cl22179,zip_derived_cl185]) ).
thf(zip_derived_cl25857,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| zip_tseitin_5
| zip_tseitin_6
| zip_tseitin_6
| zip_tseitin_5 ),
inference('sup+',[status(thm)],[zip_derived_cl23984,zip_derived_cl22210]) ).
thf(zip_derived_cl25863,plain,
( zip_tseitin_6
| zip_tseitin_5
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25857]) ).
thf(zip_derived_cl379_386,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl25894,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| zip_tseitin_5
| zip_tseitin_6 ),
inference('sup-',[status(thm)],[zip_derived_cl25863,zip_derived_cl379]) ).
thf(zip_derived_cl473,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl25929,plain,
( zip_tseitin_6
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(clc,[status(thm)],[zip_derived_cl25894,zip_derived_cl473]) ).
thf(zip_derived_cl25930,plain,
( ( e22 != e22 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| zip_tseitin_6 ),
inference('sup-',[status(thm)],[zip_derived_cl18330,zip_derived_cl25929]) ).
thf(zip_derived_cl25935,plain,
( zip_tseitin_6
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25930]) ).
thf(zip_derived_cl28104_387,plain,
( ( op2 @ e20 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl27968]) ).
thf(zip_derived_cl28283,plain,
( ( e21 != e21 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| zip_tseitin_6 ),
inference('sup-',[status(thm)],[zip_derived_cl25935,zip_derived_cl28104]) ).
thf(zip_derived_cl28289,plain,
( zip_tseitin_6
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28283]) ).
thf(zip_derived_cl479,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(ax17,axiom,
( ( ( h2 @ e14 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e10 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e13 )
= e21 ) ) ).
thf(zip_derived_cl511,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl16227,plain,
( ( ( h2 @ e12 )
!= e21 )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl511]) ).
thf(zip_derived_cl162,plain,
( ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl511_388,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl18846,plain,
( ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl511]) ).
thf(zip_derived_cl354,plain,
( ( op2 @ e21 @ e24 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16634_389,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl16949,plain,
( ( op2 @ e21 @ e24 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl16634]) ).
thf(zip_derived_cl18847,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18846,zip_derived_cl16949]) ).
thf(zip_derived_cl369,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19342_390,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl19385,plain,
( ( h1 @ e11 )
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl19342]) ).
thf(zip_derived_cl28634_391,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl28641,plain,
( e21
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19385,zip_derived_cl28634]) ).
thf(zip_derived_cl28784,plain,
( ( e21 != e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18847,zip_derived_cl28641]) ).
thf(zip_derived_cl28792,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28784]) ).
thf(zip_derived_cl395,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl114,plain,
( ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl16898_392,plain,
( ( op2 @ e22 @ e20 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl16406]) ).
thf(zip_derived_cl17328_393,plain,
( e24
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17063,zip_derived_cl17309]) ).
thf(zip_derived_cl18215,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl114,zip_derived_cl16898,zip_derived_cl17328]) ).
thf(zip_derived_cl391,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17307_394,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17344,plain,
( ( op2 @ e22 @ e20 )
!= ( h5 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl17307]) ).
thf(zip_derived_cl27838_395,plain,
( ( h5 @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl16453,zip_derived_cl27828,zip_derived_cl17307]) ).
thf(zip_derived_cl27961,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17344,zip_derived_cl27838]) ).
thf(zip_derived_cl28175,plain,
( ( e22 != e22 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18215,zip_derived_cl27961]) ).
thf(zip_derived_cl28181,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28175]) ).
thf(zip_derived_cl327,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl16407_396,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl16877,plain,
( ( op2 @ e22 @ e20 )
!= ( h3 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl16407]) ).
thf(zip_derived_cl27828_397,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl27843,plain,
( ( op2 @ e22 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16877,zip_derived_cl27828]) ).
thf(zip_derived_cl28182,plain,
( ( op2 @ e22 @ e20 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28181,zip_derived_cl27843]) ).
thf(zip_derived_cl28203,plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl28182]) ).
thf(zip_derived_cl373,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl27968_398,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl28103,plain,
( ( op2 @ e21 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl27968]) ).
thf(zip_derived_cl28793,plain,
( ( h2 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28792,zip_derived_cl28203,zip_derived_cl28103]) ).
thf(zip_derived_cl28796,plain,
( ( e21 != e21 )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl16227,zip_derived_cl28793]) ).
thf(zip_derived_cl28797,plain,
~ zip_tseitin_6,
inference(simplify,[status(thm)],[zip_derived_cl28796]) ).
thf(zip_derived_cl28863,plain,
( ( op2 @ e20 @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl28289,zip_derived_cl28797]) ).
thf(zip_derived_cl28912,plain,
( e20
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl28863]) ).
thf(zip_derived_cl28103_399,plain,
( ( op2 @ e21 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl27968]) ).
thf(zip_derived_cl29800,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29799,zip_derived_cl28912,zip_derived_cl28103]) ).
thf(zip_derived_cl29810,plain,
( ( e24 != e24 )
| ( ( op2 @ e21 @ e24 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl18387,zip_derived_cl29800]) ).
thf(zip_derived_cl29811,plain,
( ( op2 @ e21 @ e24 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl29810]) ).
thf(zip_derived_cl29843,plain,
( ( e24 != e24 )
| ( ( op2 @ e24 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl27865,zip_derived_cl29811]) ).
thf(zip_derived_cl29844,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl29879,plain,
( ( e23 != e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18588,zip_derived_cl29844]) ).
thf(zip_derived_cl29880,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29879]) ).
thf(zip_derived_cl19338_400,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl17309_401,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl16634_402,plain,
( e21
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl502,zip_derived_cl16196]) ).
thf(zip_derived_cl19338_403,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl28634_404,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl18136_405,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl16832,zip_derived_cl16833,zip_derived_cl16834]) ).
thf(zip_derived_cl380_406,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18140,plain,
( ( e23
!= ( op2 @ e24 @ e21 ) )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18136,zip_derived_cl380]) ).
thf(zip_derived_cl29844_407,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl29873,plain,
( ( e23 != e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl18140,zip_derived_cl29844]) ).
thf(zip_derived_cl29874,plain,
( ( op2 @ e23 @ e21 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl29873]) ).
thf(zip_derived_cl19338_408,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19354_409,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl16196_410,plain,
( e24
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
thf(zip_derived_cl16547_411,plain,
( e11
= ( op1 @ e13 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl498,zip_derived_cl16193]) ).
thf(zip_derived_cl28634_412,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl509_413,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl19338_414,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19342_415,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl19338]) ).
thf(zip_derived_cl28634_416,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl28635,plain,
( e21
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19342,zip_derived_cl28634]) ).
thf(zip_derived_cl498_417,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17309_418,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl509_419,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl509_420,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17318_421,plain,
( e24
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl17309]) ).
thf(zip_derived_cl16193_422,plain,
( e14
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl498]) ).
thf(zip_derived_cl19338_423,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl509_424,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17309_425,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17319_426,plain,
( ( h1 @ e14 )
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl16219,zip_derived_cl17309]) ).
thf(zip_derived_cl19338_427,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19343,plain,
( e23
= ( op2 @ e20 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl17319,zip_derived_cl19338]) ).
thf(zip_derived_cl509_428,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl28634_429,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl19358_430,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19357,zip_derived_cl412]) ).
thf(zip_derived_cl25929_431,plain,
( zip_tseitin_6
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(clc,[status(thm)],[zip_derived_cl25894,zip_derived_cl473]) ).
thf(zip_derived_cl25931,plain,
( ( e22 != e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| zip_tseitin_6 ),
inference('sup-',[status(thm)],[zip_derived_cl19358,zip_derived_cl25929]) ).
thf(zip_derived_cl25936,plain,
( zip_tseitin_6
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25931]) ).
thf(zip_derived_cl28797_432,plain,
~ zip_tseitin_6,
inference(simplify,[status(thm)],[zip_derived_cl28796]) ).
thf(zip_derived_cl28860,plain,
( ( op2 @ e20 @ e21 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl25936,zip_derived_cl28797]) ).
thf(zip_derived_cl509_433,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl19354_434,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl28863_435,plain,
( ( op2 @ e20 @ e22 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl28289,zip_derived_cl28797]) ).
thf(zip_derived_cl17309_436,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl19338_437,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl101,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl300,plain,
( ( op2 @ e24 @ e23 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl526_438,plain,
( ( h5 @ e12 )
= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl16753,plain,
( ( op2 @ e24 @ e23 )
!= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl526]) ).
thf(zip_derived_cl17305_439,plain,
( e20
= ( h5 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl502,zip_derived_cl16196,zip_derived_cl526]) ).
thf(zip_derived_cl17310,plain,
( ( op2 @ e24 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl16753,zip_derived_cl17305]) ).
thf(zip_derived_cl16952_440,plain,
( e22
!= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl502]) ).
thf(zip_derived_cl18054,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl101,zip_derived_cl17310,zip_derived_cl16952]) ).
thf(zip_derived_cl304,plain,
( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18056,plain,
( ( ( op2 @ e24 @ e21 )
!= e23 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18054,zip_derived_cl304]) ).
thf(zip_derived_cl29844_441,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl29870,plain,
( ( e23 != e23 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl18056,zip_derived_cl29844]) ).
thf(zip_derived_cl29871,plain,
( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29870]) ).
thf(zip_derived_cl302,plain,
( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl27968_442,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl28101,plain,
( e21
!= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl27968]) ).
thf(zip_derived_cl29872,plain,
( ( op2 @ e24 @ e23 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29871,zip_derived_cl28101]) ).
thf(zip_derived_cl17309_443,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl509_444,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17307_445,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl27838_446,plain,
( ( h5 @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl16453,zip_derived_cl27828,zip_derived_cl17307]) ).
thf(zip_derived_cl27956,plain,
( e22
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17307,zip_derived_cl27838]) ).
thf(zip_derived_cl16254_447,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl498,zip_derived_cl498]) ).
thf(zip_derived_cl509_448,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17309_449,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17309_450,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17306_451,plain,
( e20
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl17305]) ).
thf(zip_derived_cl17309_452,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl28634_453,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl29844_454,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl17309_455,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl19354_456,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl27968_457,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl28634_458,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl19338_459,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl20356_460,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19390,zip_derived_cl19394]) ).
thf(zip_derived_cl304_461,plain,
( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20358,plain,
( ( ( op2 @ e24 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20356,zip_derived_cl304]) ).
thf(zip_derived_cl29844_462,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl29888,plain,
( ( e23 != e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl20358,zip_derived_cl29844]) ).
thf(zip_derived_cl29889,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29888]) ).
thf(zip_derived_cl28634_463,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl509_464,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl119,plain,
( ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl399,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl506_465,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl17064,plain,
( ( h1 @ e12 )
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl506]) ).
thf(zip_derived_cl17309_466,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl17329,plain,
( e24
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17064,zip_derived_cl17309]) ).
thf(zip_derived_cl18302,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl119,zip_derived_cl17329]) ).
thf(zip_derived_cl18405_467,plain,
( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18398,zip_derived_cl16636]) ).
thf(zip_derived_cl18140_468,plain,
( ( e23
!= ( op2 @ e24 @ e21 ) )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18136,zip_derived_cl380]) ).
thf(zip_derived_cl19166,plain,
( ( e23 != e23 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18405,zip_derived_cl18140]) ).
thf(zip_derived_cl19170,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19166]) ).
thf(zip_derived_cl18584_469,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18583,zip_derived_cl410,zip_derived_cl412,zip_derived_cl414]) ).
thf(zip_derived_cl19197,plain,
( ( e20 = e23 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19170,zip_derived_cl18584]) ).
thf(zip_derived_cl417_470,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19200,plain,
( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19197,zip_derived_cl417]) ).
thf(zip_derived_cl394,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl19226,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e24 @ e21 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19200,zip_derived_cl394]) ).
thf(zip_derived_cl381,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e24 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl29800_471,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29799,zip_derived_cl28912,zip_derived_cl28103]) ).
thf(zip_derived_cl29805,plain,
( e24
!= ( op2 @ e24 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl29800]) ).
thf(zip_derived_cl29887,plain,
( ( op2 @ e21 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19226,zip_derived_cl29805]) ).
thf(zip_derived_cl29986,plain,
( ( e23 != e23 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18302,zip_derived_cl29887]) ).
thf(zip_derived_cl29988,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29986]) ).
thf(zip_derived_cl28203_472,plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl28182]) ).
thf(zip_derived_cl393,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e24 @ e20 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17307_473,plain,
( ( h5 @ e14 )
= ( op2 @ e24 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl16228,zip_derived_cl17305]) ).
thf(zip_derived_cl17345,plain,
( ( op2 @ e21 @ e20 )
!= ( h5 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl17307]) ).
thf(zip_derived_cl27838_474,plain,
( ( h5 @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl16453,zip_derived_cl27828,zip_derived_cl17307]) ).
thf(zip_derived_cl27962,plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17345,zip_derived_cl27838]) ).
thf(zip_derived_cl29989,plain,
( ( op2 @ e21 @ e20 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29988,zip_derived_cl28203,zip_derived_cl27962]) ).
thf(zip_derived_cl28634_475,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl17309_476,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl29811_477,plain,
( ( op2 @ e21 @ e24 )
= e24 ),
inference(simplify,[status(thm)],[zip_derived_cl29810]) ).
thf(zip_derived_cl28634_478,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl28634_479,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl511_480,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl28793_481,plain,
( ( h2 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28792,zip_derived_cl28203,zip_derived_cl28103]) ).
thf(zip_derived_cl28794,plain,
( e21
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl28793]) ).
thf(zip_derived_cl28634_482,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl19354_483,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl185_484,plain,
( ( op2 @ ( op2 @ e24 @ e22 ) @ ( op2 @ e22 @ e24 ) )
= e22 ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27968_485,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl28100,plain,
( ( op2 @ e21 @ ( op2 @ e22 @ e24 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl27968]) ).
thf(zip_derived_cl18183_486,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl110,zip_derived_cl17315,zip_derived_cl16947,zip_derived_cl16873]) ).
thf(zip_derived_cl323_487,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18186,plain,
( ( ( op2 @ e22 @ e21 )
!= e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18183,zip_derived_cl323]) ).
thf(zip_derived_cl29800_488,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29799,zip_derived_cl28912,zip_derived_cl28103]) ).
thf(zip_derived_cl29808,plain,
( ( e24 != e24 )
| ( ( op2 @ e22 @ e24 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18186,zip_derived_cl29800]) ).
thf(zip_derived_cl29809,plain,
( ( op2 @ e22 @ e24 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl29808]) ).
thf(zip_derived_cl30052,plain,
( ( op2 @ e21 @ e22 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl28100,zip_derived_cl29809]) ).
thf(zip_derived_cl17547_489,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl509_490,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl19354_491,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl19338_492,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl16407_493,plain,
( ( h3 @ e14 )
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16221,zip_derived_cl16405]) ).
thf(zip_derived_cl27828_494,plain,
( ( h3 @ e14 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27797,zip_derived_cl19348]) ).
thf(zip_derived_cl27836,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl16407,zip_derived_cl27828]) ).
thf(zip_derived_cl19354_495,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl509_496,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl28182_497,plain,
( ( op2 @ e22 @ e20 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28181,zip_derived_cl27843]) ).
thf(zip_derived_cl19354_498,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl17309_499,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl29809_500,plain,
( ( op2 @ e22 @ e24 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl29808]) ).
thf(zip_derived_cl19354_501,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl28634_502,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl29800_503,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29799,zip_derived_cl28912,zip_derived_cl28103]) ).
thf(zip_derived_cl17066_504,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl19338_505,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl19354_506,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl19354_507,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl16406_508,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl16405]) ).
thf(zip_derived_cl32174,plain,
( ( e24 != e24 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( e21 != e21 )
| ( e24 != e24 )
| ( e23 != e23 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( e20 != e20 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( e20 != e20 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= e24 )
| ( e23 != e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2386,zip_derived_cl17309,zip_derived_cl19338,zip_derived_cl19354,zip_derived_cl28634,zip_derived_cl509,zip_derived_cl17065,zip_derived_cl19354,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502,zip_derived_cl19338,zip_derived_cl509,zip_derived_cl29880,zip_derived_cl19338,zip_derived_cl17309,zip_derived_cl16634,zip_derived_cl19338,zip_derived_cl28634,zip_derived_cl29874,zip_derived_cl19338,zip_derived_cl19354,zip_derived_cl16196,zip_derived_cl16547,zip_derived_cl28634,zip_derived_cl509,zip_derived_cl19338,zip_derived_cl28635,zip_derived_cl498,zip_derived_cl17309,zip_derived_cl509,zip_derived_cl509,zip_derived_cl17318,zip_derived_cl16193,zip_derived_cl19338,zip_derived_cl509,zip_derived_cl17309,zip_derived_cl19343,zip_derived_cl509,zip_derived_cl28634,zip_derived_cl28860,zip_derived_cl509,zip_derived_cl19354,zip_derived_cl28863,zip_derived_cl17309,zip_derived_cl19338,zip_derived_cl29872,zip_derived_cl17309,zip_derived_cl509,zip_derived_cl27956,zip_derived_cl16254,zip_derived_cl509,zip_derived_cl17309,zip_derived_cl17309,zip_derived_cl17306,zip_derived_cl17309,zip_derived_cl28634,zip_derived_cl29844,zip_derived_cl17309,zip_derived_cl19354,zip_derived_cl27968,zip_derived_cl28634,zip_derived_cl19338,zip_derived_cl29889,zip_derived_cl28634,zip_derived_cl509,zip_derived_cl29989,zip_derived_cl28634,zip_derived_cl17309,zip_derived_cl29811,zip_derived_cl28634,zip_derived_cl28634,zip_derived_cl28794,zip_derived_cl28634,zip_derived_cl19354,zip_derived_cl30052,zip_derived_cl17547,zip_derived_cl509,zip_derived_cl19354,zip_derived_cl19338,zip_derived_cl27836,zip_derived_cl19354,zip_derived_cl509,zip_derived_cl28182,zip_derived_cl19354,zip_derived_cl17309,zip_derived_cl29809,zip_derived_cl19354,zip_derived_cl28634,zip_derived_cl29800,zip_derived_cl17066,zip_derived_cl19338,zip_derived_cl19354,zip_derived_cl19354,zip_derived_cl16406]) ).
thf(zip_derived_cl32175,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32174]) ).
thf(zip_derived_cl32707,plain,
( ( ( h1 @ e12 )
!= e24 )
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32681,zip_derived_cl32175]) ).
thf(zip_derived_cl17309_509,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl32711,plain,
( ( e24 != e24 )
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl32707,zip_derived_cl17309]) ).
thf(zip_derived_cl32712,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl32711]) ).
thf(zip_derived_cl33041,plain,
( ( ( h1 @ e10 )
!= e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33011,zip_derived_cl32712]) ).
thf(zip_derived_cl19354_510,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl33047,plain,
( ( e22 != e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl33041,zip_derived_cl19354]) ).
thf(zip_derived_cl33048,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33047]) ).
thf(zip_derived_cl33778,plain,
( ( ( h1 @ e11 )
!= e21 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33669,zip_derived_cl33048]) ).
thf(zip_derived_cl28634_511,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl33780,plain,
( ( e21 != e21 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl33778,zip_derived_cl28634]) ).
thf(zip_derived_cl33781,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33780]) ).
thf(zip_derived_cl33847,plain,
( ( ( h1 @ e10 )
!= e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33588,zip_derived_cl33781]) ).
thf(zip_derived_cl19354_512,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl33850,plain,
( ( e22 != e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl33847,zip_derived_cl19354]) ).
thf(zip_derived_cl33851,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e10 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl33850]) ).
thf(zip_derived_cl37132_513,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl17309_514,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl37180,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( e24 != e24 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl33851,zip_derived_cl37132,zip_derived_cl17309]) ).
thf(zip_derived_cl37181,plain,
( zip_tseitin_1
| ( ( h1 @ ( op1 @ e14 @ e13 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37180]) ).
thf(zip_derived_cl37190,plain,
( ( ( h1 @ e14 )
!= e23 )
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl34792,zip_derived_cl37181]) ).
thf(zip_derived_cl19338_515,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl37202,plain,
( ( e23 != e23 )
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl37190,zip_derived_cl19338]) ).
thf(zip_derived_cl37203,plain,
( ( ( h1 @ ( op1 @ e14 @ e12 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37202]) ).
thf(zip_derived_cl37211,plain,
( ( ( h1 @ e11 )
!= e21 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33806,zip_derived_cl37203]) ).
thf(zip_derived_cl28634_516,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl37224,plain,
( ( e21 != e21 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl37211,zip_derived_cl28634]) ).
thf(zip_derived_cl37225,plain,
( ( ( h1 @ ( op1 @ e14 @ e11 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37224]) ).
thf(zip_derived_cl37237,plain,
( ( ( h1 @ e13 )
!= e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34749,zip_derived_cl37225]) ).
thf(zip_derived_cl509_517,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl37247,plain,
( ( e20 != e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl37237,zip_derived_cl509]) ).
thf(zip_derived_cl37248,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37247]) ).
thf(zip_derived_cl37258,plain,
( ( ( h1 @ e10 )
!= e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33832,zip_derived_cl37248]) ).
thf(zip_derived_cl19354_518,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl37272,plain,
( ( e22 != e22 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl37258,zip_derived_cl19354]) ).
thf(zip_derived_cl37273,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37272]) ).
thf(zip_derived_cl37281,plain,
( ( ( h1 @ e13 )
!= e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33672,zip_derived_cl37273]) ).
thf(zip_derived_cl509_519,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl37291,plain,
( ( e20 != e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl37281,zip_derived_cl509]) ).
thf(zip_derived_cl37292,plain,
( ( ( h1 @ ( op1 @ e12 @ e14 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37291]) ).
thf(zip_derived_cl37300,plain,
( ( ( h1 @ e12 )
!= e24 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34256,zip_derived_cl37292]) ).
thf(zip_derived_cl17309_520,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl37311,plain,
( ( e24 != e24 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl37300,zip_derived_cl17309]) ).
thf(zip_derived_cl37312,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl37311]) ).
thf(zip_derived_cl17549_521,plain,
( ( op1 @ ( op1 @ e14 @ e10 ) @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl17547]) ).
thf(zip_derived_cl37132_522,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37153,plain,
( ( op1 @ e12 @ e13 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl17549,zip_derived_cl37132]) ).
thf(zip_derived_cl19354_523,plain,
( ( h1 @ e10 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl17471,zip_derived_cl19338,zip_derived_cl19338,zip_derived_cl502]) ).
thf(zip_derived_cl37372,plain,
( ( e22 != e22 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl37312,zip_derived_cl37153,zip_derived_cl19354]) ).
thf(zip_derived_cl37373,plain,
( zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37372]) ).
thf(zip_derived_cl39821_524,plain,
( ( op1 @ e12 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl39820,zip_derived_cl405]) ).
thf(zip_derived_cl28634_525,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl39845,plain,
( zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( e21 != e21 )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl37373,zip_derived_cl39821,zip_derived_cl28634]) ).
thf(zip_derived_cl39846,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl39845]) ).
thf(zip_derived_cl39859,plain,
( ( ( h1 @ e14 )
!= e23 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33666,zip_derived_cl39846]) ).
thf(zip_derived_cl19338_526,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl39863,plain,
( ( e23 != e23 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl39859,zip_derived_cl19338]) ).
thf(zip_derived_cl39864,plain,
( ( ( h1 @ ( op1 @ e11 @ e14 ) )
!= e23 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl39863]) ).
thf(zip_derived_cl39875,plain,
( ( ( h1 @ e14 )
!= e23 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33616,zip_derived_cl39864]) ).
thf(zip_derived_cl19338_527,plain,
( ( h1 @ e14 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19337,zip_derived_cl410]) ).
thf(zip_derived_cl39885,plain,
( ( e23 != e23 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl39875,zip_derived_cl19338]) ).
thf(zip_derived_cl39886,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl39885]) ).
thf(zip_derived_cl39898,plain,
( ( ( h1 @ e13 )
!= e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34356,zip_derived_cl39886]) ).
thf(zip_derived_cl509_528,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl39915,plain,
( ( e20 != e20 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl39898,zip_derived_cl509]) ).
thf(zip_derived_cl39916,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= e24 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl39915]) ).
thf(zip_derived_cl39928,plain,
( ( ( h1 @ e12 )
!= e24 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33670,zip_derived_cl39916]) ).
thf(zip_derived_cl17309_529,plain,
( ( h1 @ e12 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl16382,zip_derived_cl17305,zip_derived_cl17305,zip_derived_cl506]) ).
thf(zip_derived_cl39934,plain,
( ( e24 != e24 )
| zip_tseitin_1
| zip_tseitin_1
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl39928,zip_derived_cl17309]) ).
thf(zip_derived_cl39935,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= e21 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl39934]) ).
thf(zip_derived_cl43588,plain,
( ( ( h1 @ e11 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl42237,zip_derived_cl39935]) ).
thf(zip_derived_cl28634_530,plain,
( ( h1 @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28633,zip_derived_cl419]) ).
thf(zip_derived_cl43609,plain,
( ( e21 != e21 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl43588,zip_derived_cl28634]) ).
thf(zip_derived_cl43610,plain,
( zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43609]) ).
thf(zip_derived_cl74,plain,
( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17547_531,plain,
( ( op1 @ e10 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17546,zip_derived_cl400]) ).
thf(zip_derived_cl17066_532,plain,
( ( op1 @ e10 @ e10 )
= e14 ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl17065,zip_derived_cl17065]) ).
thf(zip_derived_cl18035,plain,
( ( e13 = e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( e14 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl17547,zip_derived_cl17066]) ).
thf(zip_derived_cl406_533,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl407_534,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl18036,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18035,zip_derived_cl406,zip_derived_cl407]) ).
thf(zip_derived_cl37164_535,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37163,zip_derived_cl405]) ).
thf(zip_derived_cl37408,plain,
( ( e10 != e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18036,zip_derived_cl37164]) ).
thf(zip_derived_cl37411,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37408]) ).
thf(zip_derived_cl17963_536,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17962,zip_derived_cl401,zip_derived_cl16508,zip_derived_cl402]) ).
thf(zip_derived_cl37746,plain,
( ( e10 = e12 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37411,zip_derived_cl17963]) ).
thf(zip_derived_cl408_537,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37755,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37746,zip_derived_cl408]) ).
thf(zip_derived_cl17578_538,plain,
( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17577,zip_derived_cl402,zip_derived_cl16496]) ).
thf(zip_derived_cl18251_539,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18250,zip_derived_cl17068]) ).
thf(zip_derived_cl85_540,plain,
( ( op1 @ ( op1 @ e14 @ e12 ) @ ( op1 @ e12 @ e14 ) )
= e12 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18543,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e14 ) )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18251,zip_derived_cl85]) ).
thf(zip_derived_cl37132_541,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37167,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e14 ) )
= e12 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl18543,zip_derived_cl37132]) ).
thf(zip_derived_cl405_542,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37168,plain,
( ( op1 @ e11 @ ( op1 @ e12 @ e14 ) )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37167,zip_derived_cl405]) ).
thf(zip_derived_cl37627,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17578,zip_derived_cl37168]) ).
thf(zip_derived_cl37137_543,plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl37132]) ).
thf(zip_derived_cl37632,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37627,zip_derived_cl37137]) ).
thf(zip_derived_cl288,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl38355,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37632,zip_derived_cl288]) ).
thf(zip_derived_cl38490,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37755,zip_derived_cl38355]) ).
thf(zip_derived_cl38492,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38490]) ).
thf(zip_derived_cl452,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40084,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl38492,zip_derived_cl452]) ).
thf(zip_derived_cl40095,plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40084]) ).
thf(zip_derived_cl43625,plain,
( ( op1 @ e10 @ e11 )
= e10 ),
inference(clc,[status(thm)],[zip_derived_cl43610,zip_derived_cl40095]) ).
thf(zip_derived_cl43654,plain,
( zip_tseitin_1
| ( e10 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl32681,zip_derived_cl43625]) ).
thf(zip_derived_cl408_544,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl43655,plain,
zip_tseitin_1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43654,zip_derived_cl408]) ).
thf(zip_derived_cl43712,plain,
( ( op1 @ e11 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl43655]) ).
thf(zip_derived_cl61,plain,
( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16550_545,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl16547]) ).
thf(zip_derived_cl17788,plain,
( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61,zip_derived_cl16550]) ).
thf(zip_derived_cl43625_546,plain,
( ( op1 @ e10 @ e11 )
= e10 ),
inference(clc,[status(thm)],[zip_derived_cl43610,zip_derived_cl40095]) ).
thf(zip_derived_cl43641,plain,
( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( e10 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl17788,zip_derived_cl43625]) ).
thf(zip_derived_cl409_547,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl229,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl39821_548,plain,
( ( op1 @ e12 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl39820,zip_derived_cl405]) ).
thf(zip_derived_cl39832,plain,
( e11
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl39821]) ).
thf(zip_derived_cl18251_549,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18250,zip_derived_cl17068]) ).
thf(zip_derived_cl205,plain,
( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl18544,plain,
( ( ( op1 @ e14 @ e11 )
!= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18251,zip_derived_cl205]) ).
thf(zip_derived_cl37132_550,plain,
( ( op1 @ e14 @ e10 )
= e12 ),
inference(clc,[status(thm)],[zip_derived_cl37090,zip_derived_cl17836]) ).
thf(zip_derived_cl37169,plain,
( ( ( op1 @ e14 @ e11 )
!= e11 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl18544,zip_derived_cl37132]) ).
thf(zip_derived_cl405_551,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl37170,plain,
( ( op1 @ e14 @ e11 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37169,zip_derived_cl405]) ).
thf(zip_derived_cl43642,plain,
( ( op1 @ e11 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43641,zip_derived_cl409,zip_derived_cl39832,zip_derived_cl37170]) ).
thf(zip_derived_cl44137,plain,
e11 != e11,
inference(demod,[status(thm)],[zip_derived_cl43712,zip_derived_cl43642]) ).
thf(zip_derived_cl44138,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl44137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG167+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kx0N18FVJa true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 05:32:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 96.75/14.54 % Solved by fo/fo5.sh.
% 96.75/14.54 % done 10192 iterations in 13.706s
% 96.75/14.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 96.75/14.54 % SZS output start Refutation
% See solution above
% 96.75/14.56
% 96.75/14.56
% 96.75/14.56 % Terminating...
% 96.75/14.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 98.28/14.68 % Runner terminated.
% 98.28/14.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------