TSTP Solution File: ALG127+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UYPcG5YYi7 true
% Computer : n005.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 17:11:04 EDT 2023
% Result : Theorem 35.42s 5.66s
% Output : Refutation 35.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 151
% Syntax : Number of formulae : 2335 ( 471 unt; 94 typ; 0 def)
% Number of atoms : 6826 (6507 equ; 0 cnn)
% Maximal formula atoms : 180 ( 3 avg)
% Number of connectives : 23072 (2678 ~;2121 |;1295 &;15809 @)
% ( 0 <=>; 40 =>;1129 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 54 usr; 49 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e23_type,type,
e23: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_32_type,type,
zip_tseitin_32: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_33_type,type,
zip_tseitin_33: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(zip_tseitin_35_type,type,
zip_tseitin_35: $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl59,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1709,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1677,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(ax6,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25395,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl187]) ).
thf(zip_derived_cl27707,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1709,zip_derived_cl25395]) ).
thf('0',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27707]) ).
thf(zip_derived_cl60,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1710,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e22 @ e22 ) )
& ( e21
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( e20
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ) ).
thf(zip_derived_cl429,plain,
( e20
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23208,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23213,plain,
( ( op2 @ e20 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl23208]) ).
thf(zip_derived_cl27332,plain,
( ( e20 != e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl23213]) ).
thf('1',plain,
( ( op2 @ e20 @ e23 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27332]) ).
thf(zip_derived_cl61,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1714,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl49,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1666,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25225,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl177]) ).
thf(zip_derived_cl27587,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl25225]) ).
thf('2',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27587]) ).
thf('3',plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1669,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_001,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23202,plain,
( e23
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl427]) ).
thf(zip_derived_cl27274,plain,
( ( e23 != e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl23202]) ).
thf('4',plain,
( ( op2 @ e23 @ e22 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl27274]) ).
thf(zip_derived_cl63,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1723,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl428,plain,
( e21
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427_002,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23205,plain,
( e21
= ( op2 @ e22 @ ( op2 @ e22 @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427]) ).
thf(zip_derived_cl23208_003,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23214,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl27347,plain,
( ( op2 @ e20 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl23214]) ).
thf(zip_derived_cl27546,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl27347]) ).
thf('5',plain,
( ( op2 @ e20 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27546]) ).
thf(zip_derived_cl1667,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl48,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1663,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25166,plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl144]) ).
thf(zip_derived_cl27489,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl25166]) ).
thf('6',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27489]) ).
thf(zip_derived_cl1724,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1712,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25855,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl165]) ).
thf(zip_derived_cl27856,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl25855]) ).
thf('7',plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27856]) ).
thf(zip_derived_cl57,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1700,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1668,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25254,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1668,zip_derived_cl175]) ).
thf(zip_derived_cl27617,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1700,zip_derived_cl25254]) ).
thf('8',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27617]) ).
thf('9',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1662,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23208_004,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23211,plain,
( e20
!= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl23208]) ).
thf(zip_derived_cl27316,plain,
( ( e20 != e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1662,zip_derived_cl23211]) ).
thf('10',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27316]) ).
thf(zip_derived_cl1714_005,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl13,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1522,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(co1,conjecture,
( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl958,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12640,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(ax16,axiom,
( ( ( h3 @ e13 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e12 )
= e22 ) ) ).
thf(zip_derived_cl440,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl427_006,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23208_007,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23257,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl441,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36918,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12640,zip_derived_cl23257,zip_derived_cl441]) ).
thf(zip_derived_cl36919,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl36918]) ).
thf(zip_derived_cl23257_008,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36922,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36919,zip_derived_cl23257]) ).
thf(zip_derived_cl37030,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl36922]) ).
thf('11',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37030]) ).
thf(zip_derived_cl1711,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl12,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1519,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl12641,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23257_009,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl438,plain,
( ( h3 @ e13 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl427_010,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23241,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36925,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12641,zip_derived_cl23257,zip_derived_cl23241]) ).
thf(zip_derived_cl36926,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl36925]) ).
thf(zip_derived_cl439,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl427_011,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23208_012,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23250,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl23214_013,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl27350,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36929,plain,
( ( e21
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36926,zip_derived_cl27350]) ).
thf(zip_derived_cl37053,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl36929]) ).
thf('12',plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op2 @ e20 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37053]) ).
thf(zip_derived_cl1700_014,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl9,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1508,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl12644,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl27350_015,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl441_016,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36944,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12644,zip_derived_cl27350,zip_derived_cl441]) ).
thf(zip_derived_cl36947,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl36944]) ).
thf(zip_derived_cl441_017,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36950,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36947,zip_derived_cl441]) ).
thf(zip_derived_cl37136,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1700,zip_derived_cl36950]) ).
thf('13',plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37136]) ).
thf(zip_derived_cl1724_018,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1532,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl12638,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23257_019,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl23257_020,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36894,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12638,zip_derived_cl23257,zip_derived_cl23257]) ).
thf(zip_derived_cl36896,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl36894]) ).
thf(zip_derived_cl441_021,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36899,plain,
( ( e22
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36896,zip_derived_cl441]) ).
thf(zip_derived_cl36915,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl36899]) ).
thf('14',plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36915]) ).
thf(zip_derived_cl56,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1697,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl8,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1505,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl12645,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl27350_022,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl23241_023,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36955,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12645,zip_derived_cl27350,zip_derived_cl23241]) ).
thf(zip_derived_cl36958,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl36955]) ).
thf(zip_derived_cl23241_024,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36961,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36958,zip_derived_cl23241]) ).
thf(zip_derived_cl37161,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl36961]) ).
thf('15',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37161]) ).
thf(zip_derived_cl62,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1721,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl14,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1529,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl12639,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23257_025,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl27350_026,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36901,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12639,zip_derived_cl23257,zip_derived_cl27350]) ).
thf(zip_derived_cl36905,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl36901]) ).
thf(zip_derived_cl23241_027,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36909,plain,
( ( e23
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36905,zip_derived_cl23241]) ).
thf(zip_derived_cl37021,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl36909]) ).
thf('16',plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37021]) ).
thf(zip_derived_cl1706,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl11,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1514,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl12642,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl27350_028,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl23257_029,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36932,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12642,zip_derived_cl27350,zip_derived_cl23257]) ).
thf(zip_derived_cl36933,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl36932]) ).
thf(zip_derived_cl23257_030,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36936,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36933,zip_derived_cl23257]) ).
thf(zip_derived_cl37078,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl36936]) ).
thf('17',plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37078]) ).
thf(zip_derived_cl1517,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl3,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1485,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(ax5,axiom,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23459,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl139]) ).
thf(zip_derived_cl27135,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1517,zip_derived_cl23459]) ).
thf('18',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27135]) ).
thf('19',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1528,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl136,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl6,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1496,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1492,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e12 @ e12 ) )
& ( e11
= ( op1 @ e12 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ) )
& ( e10
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ) ) ).
thf(zip_derived_cl424,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23517,plain,
( ( e13 = e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1492,zip_derived_cl424]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('20',plain,
( ( op1 @ e12 @ e12 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23517,zip_derived_cl192]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1488,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl426,plain,
( e10
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424_031,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23190,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23490,plain,
( ( e10 = e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1488,zip_derived_cl23190]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('21',plain,
( ( op1 @ e12 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23490,zip_derived_cl196]) ).
thf(zip_derived_cl425,plain,
( e11
= ( op1 @ e12 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424_032,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23185,plain,
( e11
= ( op1 @ e12 @ ( op1 @ e12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl424]) ).
thf(zip_derived_cl23190_033,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23196,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl23185,zip_derived_cl23190]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1500,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl27180,plain,
( ( e11 = e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23196,zip_derived_cl1500]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('22',plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27180,zip_derived_cl194]) ).
thf(ax2,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('23',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('24',plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference('sat_resolution*',[status(thm)],['20','21','22','23']) ).
thf(zip_derived_cl27193,plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1496,'24']) ).
thf(zip_derived_cl46615,plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl27193]) ).
thf(zip_derived_cl48253,plain,
( ( e12 != e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl46615]) ).
thf('25',plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl48253]) ).
thf(zip_derived_cl1526,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1522_034,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23855,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl116]) ).
thf(zip_derived_cl27433,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl23855]) ).
thf('26',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27433]) ).
thf(zip_derived_cl1533,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1529_035,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23933,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl119]) ).
thf(zip_derived_cl27486,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl23933]) ).
thf('27',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27486]) ).
thf(zip_derived_cl58,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1703,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl10,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1511,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl12643,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl27350_036,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl27350_037,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36939,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12643,zip_derived_cl27350,zip_derived_cl27350]) ).
thf(zip_derived_cl36940,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl36939]) ).
thf(zip_derived_cl27350_038,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36942,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36940,zip_derived_cl27350]) ).
thf(zip_derived_cl37102,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl36942]) ).
thf('28',plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37102]) ).
thf(zip_derived_cl1527,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1511_039,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23750,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl137]) ).
thf(zip_derived_cl27340,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23750]) ).
thf('29',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27340]) ).
thf(zip_derived_cl0,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf('30',plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1697_040,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1667_041,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1664,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl444,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl25188,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1524,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1214,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17760,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl445,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42016,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17760,zip_derived_cl445]) ).
thf(zip_derived_cl42019,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl42016]) ).
thf(zip_derived_cl445_042,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42020,plain,
( ( e23
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42019,zip_derived_cl445]) ).
thf(zip_derived_cl42050,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl42020]) ).
thf(zip_derived_cl42115,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42050]) ).
thf(zip_derived_cl42126,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl42115]) ).
thf('31',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42126]) ).
thf(zip_derived_cl1700_043,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1667_044,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1521,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1664_045,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl17761,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42021,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17761,zip_derived_cl442]) ).
thf(zip_derived_cl42023,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42021]) ).
thf(zip_derived_cl25188_046,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl42029,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42023,zip_derived_cl25188]) ).
thf(zip_derived_cl42513,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl42029]) ).
thf(zip_derived_cl442_047,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1664_048,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl42515,plain,
( ( e22
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42513,zip_derived_cl442,zip_derived_cl1664]) ).
thf(zip_derived_cl42524,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42515]) ).
thf(zip_derived_cl42537,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1700,zip_derived_cl42524]) ).
thf('32',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42537]) ).
thf(zip_derived_cl1485_049,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1473,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl99,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23324,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl99]) ).
thf(zip_derived_cl26898,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl23324]) ).
thf('33',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26898]) ).
thf(zip_derived_cl1721_050,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl50,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1670,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1667_051,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_052,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl443,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl444_053,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl23274,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ ( h4 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl444]) ).
thf(zip_derived_cl28503,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ e22 ) ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25188,zip_derived_cl23274]) ).
thf(zip_derived_cl46505,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1516,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1667_054,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_055,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl17762,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl42035,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl17762]) ).
thf(zip_derived_cl42829,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42035]) ).
thf(zip_derived_cl42853,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl42829]) ).
thf(zip_derived_cl445_056,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42856,plain,
( ( e23
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42853,zip_derived_cl445]) ).
thf(zip_derived_cl47111,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42856]) ).
thf(zip_derived_cl48746,plain,
( ( e23
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47111]) ).
thf(zip_derived_cl49367,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl48746]) ).
thf('34',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49367]) ).
thf(zip_derived_cl1706_057,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1670_058,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_059,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1527_060,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1667_061,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_062,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl17759,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl42000,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl17759]) ).
thf(zip_derived_cl42735,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e21 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42000]) ).
thf(zip_derived_cl42752,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl42735]) ).
thf(zip_derived_cl47097,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42752]) ).
thf(zip_derived_cl49166,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47097]) ).
thf(zip_derived_cl49505,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl49166]) ).
thf('35',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49505]) ).
thf(zip_derived_cl1714_063,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1670_064,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_065,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1503,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1664_066,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl17765,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442_067,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42054,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17765,zip_derived_cl442]) ).
thf(zip_derived_cl42056,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42054]) ).
thf(zip_derived_cl42411,plain,
( ( ( h4 @ e11 )
!= ( op2 @ ( h4 @ e11 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl42056]) ).
thf(zip_derived_cl47074,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42411]) ).
thf(zip_derived_cl49124,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47074]) ).
thf(zip_derived_cl49501,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl49124]) ).
thf('36',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49501]) ).
thf(zip_derived_cl1724_068,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1513,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1670_069,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_070,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl17763,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl47048,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl17763]) ).
thf(zip_derived_cl48233,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47048]) ).
thf(zip_derived_cl49204,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl48233]) ).
thf(zip_derived_cl442_071,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1664_072,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl49206,plain,
( ( e22
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49204,zip_derived_cl442,zip_derived_cl1664]) ).
thf(zip_derived_cl49551,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl49206]) ).
thf('37',plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49551]) ).
thf(zip_derived_cl1711_073,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1670_074,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_075,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1506,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl17764,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl445_076,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42044,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17764,zip_derived_cl445]) ).
thf(zip_derived_cl42045,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e11 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl42044]) ).
thf(zip_derived_cl47059,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42045]) ).
thf(zip_derived_cl25188_077,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1667_078,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl47122,plain,
( ( e21
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47059,zip_derived_cl25188,zip_derived_cl1667]) ).
thf(zip_derived_cl48755,plain,
( ( e21
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47122]) ).
thf(zip_derived_cl49369,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl48755]) ).
thf('38',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49369]) ).
thf(zip_derived_cl1494,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23190_079,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23191,plain,
( ( op1 @ e12 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl23190]) ).
thf(zip_derived_cl27108,plain,
( ( e10 != e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl23191]) ).
thf('39',plain,
( ( op1 @ e12 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27108]) ).
thf(zip_derived_cl1703_080,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1530,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1667_081,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_082,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl17758,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl41982,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl17758]) ).
thf(zip_derived_cl42922,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl41982]) ).
thf(zip_derived_cl42961,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl42922]) ).
thf(zip_derived_cl25188_083,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1667_084,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl42964,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42961,zip_derived_cl25188,zip_derived_cl1667]) ).
thf(zip_derived_cl42968,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl42964]) ).
thf('40',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42968]) ).
thf('41',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1688,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl53,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1684,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl427_085,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25494,plain,
( ( e23 = e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1684,zip_derived_cl427]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('42',plain,
( ( op2 @ e22 @ e22 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25494,zip_derived_cl198]) ).
thf(zip_derived_cl52,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1680,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl23208_086,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl25435,plain,
( ( e20 = e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1680,zip_derived_cl23208]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('43',plain,
( ( op2 @ e22 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25435,zip_derived_cl202]) ).
thf(zip_derived_cl23214_087,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl55,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1692,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl27351,plain,
( ( e21 = e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23214,zip_derived_cl1692]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('44',plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27351,zip_derived_cl200]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl75,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('45',plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('46',plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference('sat_resolution*',[status(thm)],['42','43','44','45']) ).
thf(zip_derived_cl27359,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1688,'46']) ).
thf(zip_derived_cl1672,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25317,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl180]) ).
thf(zip_derived_cl46642,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27359,zip_derived_cl25317]) ).
thf('47',plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl46642]) ).
thf(zip_derived_cl1677_088,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1673,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl149,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25333,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl149]) ).
thf(zip_derived_cl27674,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl25333]) ).
thf('48',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27674]) ).
thf(zip_derived_cl1703_089,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1671,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25303,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1671,zip_derived_cl181]) ).
thf(zip_derived_cl27653,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl25303]) ).
thf('49',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27653]) ).
thf('50',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1724_090,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1716,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25898,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl166]) ).
thf(zip_derived_cl27891,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl25898]) ).
thf('51',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27891]) ).
thf(zip_derived_cl1725,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1724_091,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26004,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1725,zip_derived_cl1724]) ).
thf(zip_derived_cl198_092,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('52',plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26004,zip_derived_cl198]) ).
thf(zip_derived_cl1715,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1711_093,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25843,plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl162]) ).
thf(zip_derived_cl27827,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl25843]) ).
thf('53',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27827]) ).
thf('54',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1703_094,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1695,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25659,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl157]) ).
thf(zip_derived_cl27718,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl25659]) ).
thf('55',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27718]) ).
thf('56',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1696,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1664_095,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25186,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl169]) ).
thf(zip_derived_cl27542,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1696,zip_derived_cl25186]) ).
thf('57',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27542]) ).
thf(zip_derived_cl1676,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1664_096,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25185,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl147]) ).
thf(zip_derived_cl27532,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl25185]) ).
thf('58',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27532]) ).
thf(zip_derived_cl1701,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_097,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23203,plain,
( ( op2 @ e21 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl427]) ).
thf(zip_derived_cl27284,plain,
( ( e23 != e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl23203]) ).
thf('59',plain,
( ( op2 @ e21 @ e22 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl27284]) ).
thf(zip_derived_cl17766,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl23196_098,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl23185,zip_derived_cl23190]) ).
thf(zip_derived_cl445_099,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl23274_100,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ ( h4 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl444]) ).
thf(zip_derived_cl42061,plain,
( ( ( h4 @ e11 )
!= ( h4 @ e11 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17766,zip_derived_cl23196,zip_derived_cl445,zip_derived_cl23274]) ).
thf('60',plain,
( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42061]) ).
thf(zip_derived_cl17768,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl424_101,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl442_102,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl445_103,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl445_104,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42064,plain,
( ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17768,zip_derived_cl424,zip_derived_cl442,zip_derived_cl445,zip_derived_cl445]) ).
thf('61',plain,
( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42064]) ).
thf(zip_derived_cl1278,plain,
( ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19054,plain,
( ( ( h4 @ e12 )
!= e23 )
<= ( ( h4 @ e12 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1278]) ).
thf(zip_derived_cl445_105,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26046,plain,
( ( e23 != e23 )
<= ( ( h4 @ e12 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19054,zip_derived_cl445]) ).
thf('62',plain,
( ( h4 @ e12 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl26046]) ).
thf(zip_derived_cl17769,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl23190_106,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl445_107,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl442_108,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl444_109,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42076,plain,
( ( ( h4 @ e10 )
!= ( h4 @ e10 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17769,zip_derived_cl23190,zip_derived_cl445,zip_derived_cl442,zip_derived_cl444]) ).
thf('63',plain,
( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42076]) ).
thf(zip_derived_cl1695_110,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1667_111,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_112,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1522_113,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl42016_114,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17760,zip_derived_cl445]) ).
thf(zip_derived_cl42017,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl42016]) ).
thf(zip_derived_cl42240,plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl42017]) ).
thf(zip_derived_cl42254,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42240]) ).
thf(zip_derived_cl42258,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl42254]) ).
thf('64',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42258]) ).
thf(zip_derived_cl1698,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1670_115,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_116,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1667_117,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1519_118,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl42029_119,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42023,zip_derived_cl25188]) ).
thf(zip_derived_cl42511,plain,
( ( ( h4 @ e11 )
!= ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl42029]) ).
thf(zip_derived_cl42542,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42511]) ).
thf(zip_derived_cl47086,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42542]) ).
thf(zip_derived_cl48513,plain,
( ( e20
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47086]) ).
thf(zip_derived_cl49132,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl48513]) ).
thf('65',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49132]) ).
thf(zip_derived_cl1670_120,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_121,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1664_122,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1475,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl17772,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442_123,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl445_124,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42098,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17772,zip_derived_cl442,zip_derived_cl445]) ).
thf(zip_derived_cl42100,plain,
( ( ( h4 @ e11 )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1475,zip_derived_cl42098]) ).
thf(zip_derived_cl42382,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42100]) ).
thf(zip_derived_cl23208_125,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl42384,plain,
( ( ( h4 @ e11 )
!= e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42382,zip_derived_cl23208]) ).
thf(zip_derived_cl47070,plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42384]) ).
thf(zip_derived_cl48419,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47070]) ).
thf('66',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48419]) ).
thf(zip_derived_cl1708,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1670_126,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_127,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1529_128,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl42735_129,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e21 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42000]) ).
thf(zip_derived_cl42754,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl42735]) ).
thf(zip_derived_cl442_130,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1664_131,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl42757,plain,
( ( e22
!= ( op2 @ e21 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42754,zip_derived_cl442,zip_derived_cl1664]) ).
thf(zip_derived_cl47100,plain,
( ( e22
!= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42757]) ).
thf(zip_derived_cl48739,plain,
( ( e22
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47100]) ).
thf(zip_derived_cl49357,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl48739]) ).
thf('67',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49357]) ).
thf(zip_derived_cl1670_132,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_133,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1478,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1664_134,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl17771,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442_135,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42091,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17771,zip_derived_cl442]) ).
thf(zip_derived_cl42094,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e22 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42091]) ).
thf(zip_derived_cl42438,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e22 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl42094]) ).
thf(zip_derived_cl25188_136,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl42441,plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ ( h4 @ e11 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42438,zip_derived_cl25188]) ).
thf(zip_derived_cl47081,plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42441]) ).
thf(zip_derived_cl1667_137,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl47126,plain,
( ( e21
!= ( op2 @ e22 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47081,zip_derived_cl1667]) ).
thf(zip_derived_cl48759,plain,
( ( e21
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47126]) ).
thf(zip_derived_cl23214_138,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl48762,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48759,zip_derived_cl23214]) ).
thf('68',plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48762]) ).
thf(zip_derived_cl1478_139,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1474,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23337,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl98]) ).
thf(zip_derived_cl26910,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl23337]) ).
thf('69',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26910]) ).
thf(zip_derived_cl1472,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1664_140,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl17773,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442_141,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl442_142,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42103,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17773,zip_derived_cl442,zip_derived_cl442]) ).
thf(zip_derived_cl42105,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42103]) ).
thf(zip_derived_cl427_143,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl42110,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42105,zip_derived_cl427]) ).
thf(zip_derived_cl42212,plain,
( ( ( h4 @ e12 )
!= e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl42110]) ).
thf(zip_derived_cl445_144,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42214,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42212,zip_derived_cl445]) ).
thf('70',plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42214]) ).
thf(zip_derived_cl1705,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1532_145,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl42922_146,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl41982]) ).
thf(zip_derived_cl42962,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl42922]) ).
thf(zip_derived_cl445_147,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42965,plain,
( ( e23
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42962,zip_derived_cl445]) ).
thf(zip_derived_cl42980,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl42965]) ).
thf('71',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42980]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_17
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl305,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('72',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_17
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf('73',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1496_148,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1480,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23405,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1480,zip_derived_cl132]) ).
thf(zip_derived_cl27030,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl23405]) ).
thf('74',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27030]) ).
thf(zip_derived_cl27359_149,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1688,'46']) ).
thf(zip_derived_cl1667_150,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1485_151,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl25188_152,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl17770,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl442_153,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42078,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17770,zip_derived_cl442]) ).
thf(zip_derived_cl42080,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl42078]) ).
thf(zip_derived_cl1664_154,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl42086,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42080,zip_derived_cl1664]) ).
thf(zip_derived_cl42623,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl42086]) ).
thf(zip_derived_cl442_155,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1664_156,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl42626,plain,
( ( e22
!= ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42623,zip_derived_cl442,zip_derived_cl1664]) ).
thf(zip_derived_cl42642,plain,
( ( e22
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42626]) ).
thf(zip_derived_cl46646,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27359,zip_derived_cl42642]) ).
thf('75',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46646]) ).
thf(zip_derived_cl1485_157,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1481,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23419,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl101]) ).
thf(zip_derived_cl27040,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl23419]) ).
thf('76',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27040]) ).
thf(zip_derived_cl1533_158,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1485_159,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23460,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl141]) ).
thf(zip_derived_cl27149,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl23460]) ).
thf('77',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27149]) ).
thf('78',plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1531,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23196_160,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl23185,zip_derived_cl23190]) ).
thf(zip_derived_cl27177,plain,
( ( op1 @ e10 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl23196]) ).
thf(zip_derived_cl27498,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl27177]) ).
thf('79',plain,
( ( op1 @ e10 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27498]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_2
=> ( ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('80',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl1713,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1670_161,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_162,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1508_163,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl42044_164,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17764,zip_derived_cl445]) ).
thf(zip_derived_cl42047,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( h4 @ e11 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl42044]) ).
thf(zip_derived_cl445_165,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42048,plain,
( ( e23
!= ( op2 @ ( h4 @ e11 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42047,zip_derived_cl445]) ).
thf(zip_derived_cl47061,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42048]) ).
thf(zip_derived_cl48717,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47061]) ).
thf(zip_derived_cl49346,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl48717]) ).
thf('81',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49346]) ).
thf(zip_derived_cl1508_166,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1476,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23357,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1476,zip_derived_cl127]) ).
thf(zip_derived_cl26962,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl23357]) ).
thf('82',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26962]) ).
thf(zip_derived_cl1716_167,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1670_168,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_169,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1505_170,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl42056_171,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl42054]) ).
thf(zip_derived_cl42413,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( h4 @ e11 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl42056]) ).
thf(zip_derived_cl442_172,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1664_173,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl42415,plain,
( ( e22
!= ( op2 @ ( h4 @ e11 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42413,zip_derived_cl442,zip_derived_cl1664]) ).
thf(zip_derived_cl47076,plain,
( ( e22
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42415]) ).
thf(zip_derived_cl48725,plain,
( ( e22
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47076]) ).
thf(zip_derived_cl49350,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl48725]) ).
thf('83',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49350]) ).
thf(zip_derived_cl1505_174,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1473_175,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23325,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl121]) ).
thf(zip_derived_cl26903,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl23325]) ).
thf('84',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26903]) ).
thf('85',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1509,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl424_176,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23181,plain,
( ( op1 @ e11 @ e12 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl424]) ).
thf(zip_derived_cl27093,plain,
( ( e13 != e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl23181]) ).
thf('86',plain,
( ( op1 @ e11 @ e12 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl27093]) ).
thf(zip_derived_cl1722,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1511_177,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl48233_178,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47048]) ).
thf(zip_derived_cl49203,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl48233]) ).
thf(zip_derived_cl46505_179,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1670_180,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl49205,plain,
( ( e20
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49203,zip_derived_cl46505,zip_derived_cl1670]) ).
thf(zip_derived_cl49513,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl49205]) ).
thf('87',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49513]) ).
thf(zip_derived_cl1511_181,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1507,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23702,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl110]) ).
thf(zip_derived_cl27297,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl23702]) ).
thf('88',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27297]) ).
thf(zip_derived_cl1511_182,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1479,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23392,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1479,zip_derived_cl133]) ).
thf(zip_derived_cl27015,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl23392]) ).
thf('89',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27015]) ).
thf(zip_derived_cl1719,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1670_183,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_184,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1514_185,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl42829_186,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42035]) ).
thf(zip_derived_cl42852,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl42829]) ).
thf(zip_derived_cl25188_187,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1667_188,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl42855,plain,
( ( e21
!= ( op2 @ ( h4 @ e11 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42852,zip_derived_cl25188,zip_derived_cl1667]) ).
thf(zip_derived_cl47110,plain,
( ( e21
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl42855]) ).
thf(zip_derived_cl48742,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47110]) ).
thf(zip_derived_cl49362,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl48742]) ).
thf('90',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49362]) ).
thf(zip_derived_cl1514_189,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1482,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139_190,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23433,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl139]) ).
thf(zip_derived_cl27058,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23433]) ).
thf('91',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27058]) ).
thf(zip_derived_cl1516_191,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1514_192,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23794,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1516,zip_derived_cl1514]) ).
thf(zip_derived_cl196_193,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('92',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23794,zip_derived_cl196]) ).
thf(zip_derived_cl1677_194,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1670_195,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_196,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl27193_197,plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1496,'24']) ).
thf(zip_derived_cl17767,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1214]) ).
thf(zip_derived_cl445_198,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42063,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e23 @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17767,zip_derived_cl445]) ).
thf(zip_derived_cl46622,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e23 @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27193,zip_derived_cl42063]) ).
thf(zip_derived_cl445_199,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46626,plain,
( ( e23
!= ( op2 @ e23 @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46622,zip_derived_cl445]) ).
thf(zip_derived_cl47116,plain,
( ( e23
!= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl46626]) ).
thf(zip_derived_cl47915,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47116]) ).
thf(zip_derived_cl48488,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl47915]) ).
thf('93',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48488]) ).
thf(zip_derived_cl1670_200,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl46505_201,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl28503]) ).
thf(zip_derived_cl1215,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17795,plain,
( ( ( h4 @ e11 )
!= e20 )
<= ( ( h4 @ e11 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1215]) ).
thf(zip_derived_cl47050,plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
<= ( ( ( h4 @ e11 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46505,zip_derived_cl17795]) ).
thf(zip_derived_cl47713,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ e11 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl47050]) ).
thf('94',plain,
( ( ( h4 @ e11 )
= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47713]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_1
=> ( ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('95',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_13
=> ( ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl287,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('96',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_12
=> ( ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('97',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_8
=> ( ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl264,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('98',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_4
=> ( ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl244,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('99',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl1518,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23190_202,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23195,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl23190]) ).
thf(zip_derived_cl27163,plain,
( ( e10 != e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl23195]) ).
thf('100',plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27163]) ).
thf(zip_derived_cl1477,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl424_203,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23180,plain,
( e13
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl424]) ).
thf(zip_derived_cl27082,plain,
( ( e13 != e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1477,zip_derived_cl23180]) ).
thf('101',plain,
( ( op1 @ e13 @ e12 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl27082]) ).
thf(zip_derived_cl1511_204,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1503_205,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl109,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23654,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl109]) ).
thf(zip_derived_cl27209,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl23654]) ).
thf('102',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27209]) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_9
=> ( ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('103',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl998,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e12 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ e12 )
!= e22 )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl998]) ).
thf(zip_derived_cl12648,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl424_206,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23241_207,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl441_208,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl441_209,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl427_210,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl36965,plain,
( ( e23 != e23 )
<= ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12648,zip_derived_cl424,zip_derived_cl23241,zip_derived_cl441,zip_derived_cl441,zip_derived_cl427]) ).
thf('105',plain,
( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl36965]) ).
thf(zip_derived_cl27359_211,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1688,'46']) ).
thf(zip_derived_cl27193_212,plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1496,'24']) ).
thf(zip_derived_cl12647,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl441_213,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl27350_214,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36964,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12647,zip_derived_cl441,zip_derived_cl27350]) ).
thf(zip_derived_cl46621,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27193,zip_derived_cl36964]) ).
thf(zip_derived_cl441_215,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl46625,plain,
( ( e22
!= ( op2 @ e22 @ e21 ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46621,zip_derived_cl441]) ).
thf(zip_derived_cl46647,plain,
( ( e22 != e22 )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27359,zip_derived_cl46625]) ).
thf('106',plain,
( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46647]) ).
thf(zip_derived_cl12657,plain,
( ( ( h3 @ e13 )
!= e23 )
<= ( ( h3 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23241_216,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl24247,plain,
( ( e23 != e23 )
<= ( ( h3 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl12657,zip_derived_cl23241]) ).
thf('107',plain,
( ( h3 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl24247]) ).
thf(zip_derived_cl1690,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23208_217,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23210,plain,
( ( op2 @ e22 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl23208]) ).
thf(zip_derived_cl27308,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl23210]) ).
thf('108',plain,
( ( op2 @ e22 @ e20 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27308]) ).
thf('109',plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1691,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl966,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12816,plain,
( ( ( h3 @ e11 )
!= e21 )
<= ( ( h3 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl966]) ).
thf(zip_derived_cl23250_218,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl24290,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( h3 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl12816,zip_derived_cl23250]) ).
thf(zip_derived_cl25602,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ e11 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl24290]) ).
thf('110',plain,
( ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25602]) ).
thf(zip_derived_cl12649,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23190_219,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23257_220,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl441_221,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl23241_222,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl23208_223,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl36967,plain,
( ( e20 != e20 )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12649,zip_derived_cl23190,zip_derived_cl23257,zip_derived_cl441,zip_derived_cl23241,zip_derived_cl23208]) ).
thf('111',plain,
( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl36967]) ).
thf(zip_derived_cl990,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e12 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13294,plain,
( ( ( h3 @ e12 )
!= e22 )
<= ( ( h3 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl990]) ).
thf(zip_derived_cl441_224,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24414,plain,
( ( e22 != e22 )
<= ( ( h3 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl13294,zip_derived_cl441]) ).
thf('112',plain,
( ( h3 @ e12 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl24414]) ).
thf(zip_derived_cl12646,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23196_225,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl23185,zip_derived_cl23190]) ).
thf(zip_derived_cl27350_226,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl441_227,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl23257_228,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl23214_229,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl36962,plain,
( ( e21 != e21 )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12646,zip_derived_cl23196,zip_derived_cl27350,zip_derived_cl441,zip_derived_cl23257,zip_derived_cl23214]) ).
thf('113',plain,
( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl36962]) ).
thf(zip_derived_cl12654,plain,
( ( ( h3 @ e10 )
!= e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23257_230,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl24243,plain,
( ( e20 != e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl12654,zip_derived_cl23257]) ).
thf('114',plain,
( ( h3 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl24243]) ).
thf(zip_derived_cl1716_231,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1524_232,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl36918_233,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12640,zip_derived_cl23257,zip_derived_cl441]) ).
thf(zip_derived_cl36921,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl36918]) ).
thf(zip_derived_cl441_234,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36924,plain,
( ( e22
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36921,zip_derived_cl441]) ).
thf(zip_derived_cl37046,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl36924]) ).
thf('115',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37046]) ).
thf(zip_derived_cl1708_235,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1516_236,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl36932_237,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12642,zip_derived_cl27350,zip_derived_cl23257]) ).
thf(zip_derived_cl36934,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl36932]) ).
thf(zip_derived_cl441_238,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36937,plain,
( ( e22
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36934,zip_derived_cl441]) ).
thf(zip_derived_cl37088,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl36937]) ).
thf('116',plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37088]) ).
thf(zip_derived_cl1698_239,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1506_240,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl36944_241,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12644,zip_derived_cl27350,zip_derived_cl441]) ).
thf(zip_derived_cl36945,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl36944]) ).
thf(zip_derived_cl23257_242,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36948,plain,
( ( e20
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36945,zip_derived_cl23257]) ).
thf(zip_derived_cl37116,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl36948]) ).
thf('117',plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37116]) ).
thf(zip_derived_cl1677_243,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1485_244,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl12650,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23241_245,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl23257_246,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36974,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12650,zip_derived_cl23241,zip_derived_cl23257]) ).
thf(zip_derived_cl36977,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl36974]) ).
thf(zip_derived_cl23241_247,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36980,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36977,zip_derived_cl23241]) ).
thf(zip_derived_cl37186,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl36980]) ).
thf('118',plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37186]) ).
thf(zip_derived_cl1713_248,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1521_249,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl36925_250,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12641,zip_derived_cl23257,zip_derived_cl23241]) ).
thf(zip_derived_cl36928,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl36925]) ).
thf(zip_derived_cl23241_251,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36931,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36928,zip_derived_cl23241]) ).
thf(zip_derived_cl37069,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl36931]) ).
thf('119',plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37069]) ).
thf('120',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('121',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1502,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23190_252,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23194,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl23190]) ).
thf(zip_derived_cl27151,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl23194]) ).
thf('122',plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27151]) ).
thf(zip_derived_cl1525,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl424_253,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23182,plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl424]) ).
thf(zip_derived_cl27103,plain,
( ( e13 != e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl23182]) ).
thf('123',plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl27103]) ).
thf(zip_derived_cl1722_254,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1530_255,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl36894_256,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12638,zip_derived_cl23257,zip_derived_cl23257]) ).
thf(zip_derived_cl36895,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl36894]) ).
thf(zip_derived_cl23257_257,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36898,plain,
( ( e20
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36895,zip_derived_cl23257]) ).
thf(zip_derived_cl36910,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl36898]) ).
thf('124',plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36910]) ).
thf(zip_derived_cl1530_258,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1522_259,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23856,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl118]) ).
thf(zip_derived_cl27438,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23856]) ).
thf('125',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27438]) ).
thf(zip_derived_cl1530_260,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1514_261,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23776,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl143]) ).
thf(zip_derived_cl27376,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23776]) ).
thf('126',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27376]) ).
thf(zip_derived_cl1719_262,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1527_263,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl36901_264,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12639,zip_derived_cl23257,zip_derived_cl27350]) ).
thf(zip_derived_cl36903,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl36901]) ).
thf(zip_derived_cl27350_265,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36907,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36903,zip_derived_cl27350]) ).
thf(zip_derived_cl36982,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl36907]) ).
thf('127',plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36982]) ).
thf(zip_derived_cl1695_266,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1503_267,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl36955_268,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12645,zip_derived_cl27350,zip_derived_cl23241]) ).
thf(zip_derived_cl36956,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl36955]) ).
thf(zip_derived_cl27350_269,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36959,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36956,zip_derived_cl27350]) ).
thf(zip_derived_cl37138,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl36959]) ).
thf('128',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37138]) ).
thf(zip_derived_cl1705_270,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1513_271,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl36939_272,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12643,zip_derived_cl27350,zip_derived_cl27350]) ).
thf(zip_derived_cl36941,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl36939]) ).
thf(zip_derived_cl23241_273,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl36943,plain,
( ( e23
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36941,zip_derived_cl23241]) ).
thf(zip_derived_cl37114,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl36943]) ).
thf('129',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37114]) ).
thf(zip_derived_cl1529_274,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1513_275,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137_276,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23766,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl137]) ).
thf(zip_derived_cl27374,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23766]) ).
thf('130',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27374]) ).
thf(zip_derived_cl1517_277,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1513_278,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23765,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl113]) ).
thf(zip_derived_cl27367,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1517,zip_derived_cl23765]) ).
thf('131',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27367]) ).
thf(zip_derived_cl1664_279,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1472_280,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl12653,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23241_281,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl23241_282,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl37000,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl23241,zip_derived_cl23241]) ).
thf(zip_derived_cl37002,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl37000]) ).
thf(zip_derived_cl441_283,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl37005,plain,
( ( e22
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37002,zip_derived_cl441]) ).
thf(zip_derived_cl37249,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl37005]) ).
thf('132',plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37249]) ).
thf(zip_derived_cl1499,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1483,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23439,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl138]) ).
thf(zip_derived_cl27076,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl23439]) ).
thf('133',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27076]) ).
thf(zip_derived_cl1527_284,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1523,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl116_285,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23865,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl116]) ).
thf(zip_derived_cl27444,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23865]) ).
thf('134',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27444]) ).
thf(zip_derived_cl1503_286,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1471,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121_287,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23294,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl121]) ).
thf(zip_derived_cl26849,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl23294]) ).
thf('135',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26849]) ).
thf('136',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1499_288,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1495,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23554,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl107]) ).
thf(zip_derived_cl27160,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl23554]) ).
thf('137',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27160]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('138',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('139',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1527_289,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1526_290,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23916,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1526]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('140',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23916,zip_derived_cl197]) ).
thf(zip_derived_cl36,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('141',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1496_291,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1494_292,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23567,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1496,zip_derived_cl1494]) ).
thf(zip_derived_cl196_293,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('142',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23567,zip_derived_cl196]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('143',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1513_294,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1511_295,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23768,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl1511]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('144',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23768,zip_derived_cl193]) ).
thf(zip_derived_cl1528_296,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1527_297,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23925,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1527]) ).
thf(zip_derived_cl194_298,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('145',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23925,zip_derived_cl194]) ).
thf(zip_derived_cl1525_299,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1522_300,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23896,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1522]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('146',plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23896,zip_derived_cl195]) ).
thf(zip_derived_cl1521_301,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518_302,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23845,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1518]) ).
thf(zip_derived_cl195_303,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('147',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23845,zip_derived_cl195]) ).
thf(zip_derived_cl1504,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1503_304,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23670,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1504,zip_derived_cl1503]) ).
thf(zip_derived_cl194_305,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('148',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23670,zip_derived_cl194]) ).
thf(zip_derived_cl1519_306,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518_307,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23827,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1518]) ).
thf(zip_derived_cl197_308,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('149',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23827,zip_derived_cl197]) ).
thf(zip_derived_cl1524_309,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1522_310,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23881,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1522]) ).
thf(zip_derived_cl196_311,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('150',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23881,zip_derived_cl196]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('151',plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1500_312,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23612,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1500,zip_derived_cl1498]) ).
thf(zip_derived_cl196_313,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('152',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23612,zip_derived_cl196]) ).
thf(zip_derived_cl1499_314,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498_315,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23601,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1498]) ).
thf(zip_derived_cl197_316,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('153',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23601,zip_derived_cl197]) ).
thf(zip_derived_cl1515,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1514_317,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23783,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1514]) ).
thf(zip_derived_cl197_318,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('154',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23783,zip_derived_cl197]) ).
thf(zip_derived_cl1473_319,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1471_320,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23328,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl1471]) ).
thf(zip_derived_cl193_321,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('155',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23328,zip_derived_cl193]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('156',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1505_322,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1502_323,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23682,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl1502]) ).
thf(zip_derived_cl195_324,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('157',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23682,zip_derived_cl195]) ).
thf(zip_derived_cl1504_325,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1502_326,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23669,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1504,zip_derived_cl1502]) ).
thf(zip_derived_cl196_327,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('158',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23669,zip_derived_cl196]) ).
thf(zip_derived_cl1503_328,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1502_329,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23657,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1502]) ).
thf(zip_derived_cl197_330,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('159',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23657,zip_derived_cl197]) ).
thf(zip_derived_cl39,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('160',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1485_331,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1484,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23463,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl1484]) ).
thf(zip_derived_cl192_332,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('161',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23463,zip_derived_cl192]) ).
thf(zip_derived_cl1485_333,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1482_334,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23461,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl1482]) ).
thf(zip_derived_cl195_335,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('162',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23461,zip_derived_cl195]) ).
thf(zip_derived_cl262,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('163',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl1516_336,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1515_337,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23795,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1516,zip_derived_cl1515]) ).
thf(zip_derived_cl194_338,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('164',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23795,zip_derived_cl194]) ).
thf(zip_derived_cl1512,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1510,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23758,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl1510]) ).
thf(zip_derived_cl196_339,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('165',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23758,zip_derived_cl196]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('166',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl282,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('167',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_12
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zip_derived_cl1509_340,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1508_341,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23732,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1509,zip_derived_cl1508]) ).
thf(zip_derived_cl192_342,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('168',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23732,zip_derived_cl192]) ).
thf(zip_derived_cl1509_343,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1507_344,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23731,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1509,zip_derived_cl1507]) ).
thf(zip_derived_cl193_345,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('169',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23731,zip_derived_cl193]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_0
=> ( ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('170',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_3
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('171',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl1520,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518_346,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23835,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1518]) ).
thf(zip_derived_cl196_347,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('172',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23835,zip_derived_cl196]) ).
thf(zip_derived_cl1508_348,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1507_349,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23717,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1508,zip_derived_cl1507]) ).
thf(zip_derived_cl194_350,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('173',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23717,zip_derived_cl194]) ).
thf(zip_derived_cl35,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('174',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1477_351,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1474_352,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23371,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl1474]) ).
thf(zip_derived_cl195_353,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('175',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23371,zip_derived_cl195]) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('176',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('177',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1521_354,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1519_355,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23846,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1519]) ).
thf(zip_derived_cl193_356,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('178',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23846,zip_derived_cl193]) ).
thf(zip_derived_cl1509_357,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1506_358,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23730,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1509,zip_derived_cl1506]) ).
thf(zip_derived_cl195_359,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('179',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23730,zip_derived_cl195]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('180',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1489,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23190_360,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23498,plain,
( ( e10 = e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1489,zip_derived_cl23190]) ).
thf(zip_derived_cl195_361,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('181',plain,
( ( op1 @ e12 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23498,zip_derived_cl195]) ).
thf(zip_derived_cl1513_362,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1510_363,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23767,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl1510]) ).
thf(zip_derived_cl195_364,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('182',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23767,zip_derived_cl195]) ).
thf(zip_derived_cl33,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('183',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl18,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('184',plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1505_365,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1504_366,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23684,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl1504]) ).
thf(zip_derived_cl192_367,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('185',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23684,zip_derived_cl192]) ).
thf(zip_derived_cl1505_368,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1503_369,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23683,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl1503]) ).
thf(zip_derived_cl193_370,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('186',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23683,zip_derived_cl193]) ).
thf(zip_derived_cl1520_371,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1519_372,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23836,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1519]) ).
thf(zip_derived_cl194_373,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('187',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23836,zip_derived_cl194]) ).
thf(zip_derived_cl1473_374,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1470,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23327,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl1470]) ).
thf(zip_derived_cl195_375,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('188',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23327,zip_derived_cl195]) ).
thf(zip_derived_cl1480_376,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1479_377,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23409,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1480,zip_derived_cl1479]) ).
thf(zip_derived_cl194_378,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('189',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23409,zip_derived_cl194]) ).
thf(zip_derived_cl34,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('190',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1529_379,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1528_380,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23936,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1528]) ).
thf(zip_derived_cl192_381,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('191',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23936,zip_derived_cl192]) ).
thf(zip_derived_cl1529_382,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1527_383,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23935,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1527]) ).
thf(zip_derived_cl193_384,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('192',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23935,zip_derived_cl193]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('193',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1497,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1496_385,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23582,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl1496]) ).
thf(zip_derived_cl192_386,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('194',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23582,zip_derived_cl192]) ).
thf(zip_derived_cl1497_387,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1495_388,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23581,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl1495]) ).
thf(zip_derived_cl193_389,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('195',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23581,zip_derived_cl193]) ).
thf(zip_derived_cl1472_390,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1471_391,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23310,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1472,zip_derived_cl1471]) ).
thf(zip_derived_cl194_392,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('196',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23310,zip_derived_cl194]) ).
thf(zip_derived_cl1472_393,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1470_394,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23309,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1472,zip_derived_cl1470]) ).
thf(zip_derived_cl196_395,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('197',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23309,zip_derived_cl196]) ).
thf(zip_derived_cl1471_396,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1470_397,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23296,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1471,zip_derived_cl1470]) ).
thf(zip_derived_cl197_398,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('198',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23296,zip_derived_cl197]) ).
thf(zip_derived_cl1481_399,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1480_400,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23425,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1481,zip_derived_cl1480]) ).
thf(zip_derived_cl192_401,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('199',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23425,zip_derived_cl192]) ).
thf(zip_derived_cl21,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('200',plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1517_402,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1515_403,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23805,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1517,zip_derived_cl1515]) ).
thf(zip_derived_cl193_404,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('201',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23805,zip_derived_cl193]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_16
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl302,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('202',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_16
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl302]) ).
thf(zip_derived_cl1511_405,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1510_406,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23751,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1510]) ).
thf(zip_derived_cl197_407,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('203',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23751,zip_derived_cl197]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_5
=> ( ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('204',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('205',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_10
=> ( ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('206',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl271,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('207',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
thf(zf_stmt_14,axiom,
( zip_tseitin_11
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('208',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zf_stmt_15,axiom,
( zip_tseitin_15
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl299,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('209',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('210',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl43,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('211',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('212',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl1528_408,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1526_409,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23924,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1526]) ).
thf(zip_derived_cl196_410,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('213',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23924,zip_derived_cl196]) ).
thf(zip_derived_cl1529_411,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1526_412,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23934,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1526]) ).
thf(zip_derived_cl195_413,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('214',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23934,zip_derived_cl195]) ).
thf(zip_derived_cl1521_414,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1520_415,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23847,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1520]) ).
thf(zip_derived_cl192_416,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('215',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23847,zip_derived_cl192]) ).
thf(zip_derived_cl235,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('216',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl235]) ).
thf(zf_stmt_16,axiom,
( zip_tseitin_7
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl255,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('217',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zf_stmt_17,axiom,
( zip_tseitin_14
=> ( ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('218',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zip_derived_cl1525_417,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1523_418,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23897,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1523]) ).
thf(zip_derived_cl193_419,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('219',plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23897,zip_derived_cl193]) ).
thf(zip_derived_cl1523_420,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1522_421,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23867,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl1522]) ).
thf(zip_derived_cl197_422,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('220',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23867,zip_derived_cl197]) ).
thf(zip_derived_cl1477_423,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1476_424,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23373,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl1476]) ).
thf(zip_derived_cl192_425,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('221',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23373,zip_derived_cl192]) ).
thf(zip_derived_cl1476_426,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1474_427,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23359,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1476,zip_derived_cl1474]) ).
thf(zip_derived_cl196_428,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('222',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23359,zip_derived_cl196]) ).
thf(zip_derived_cl26,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('223',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('224',plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1508_429,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1506_430,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23716,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1508,zip_derived_cl1506]) ).
thf(zip_derived_cl196_431,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('225',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23716,zip_derived_cl196]) ).
thf(zip_derived_cl1524_432,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1523_433,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23882,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1523]) ).
thf(zip_derived_cl194_434,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('226',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23882,zip_derived_cl194]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('227',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl243,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('228',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl263,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('229',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zf_stmt_18,type,
zip_tseitin_19: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_19
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_18: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_18
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_17: $o ).
thf(zf_stmt_23,type,
zip_tseitin_16: $o ).
thf(zf_stmt_24,type,
zip_tseitin_15: $o ).
thf(zf_stmt_25,type,
zip_tseitin_14: $o ).
thf(zf_stmt_26,type,
zip_tseitin_13: $o ).
thf(zf_stmt_27,type,
zip_tseitin_12: $o ).
thf(zf_stmt_28,type,
zip_tseitin_11: $o ).
thf(zf_stmt_29,type,
zip_tseitin_10: $o ).
thf(zf_stmt_30,type,
zip_tseitin_9: $o ).
thf(zf_stmt_31,type,
zip_tseitin_8: $o ).
thf(zf_stmt_32,type,
zip_tseitin_7: $o ).
thf(zf_stmt_33,type,
zip_tseitin_6: $o ).
thf(zf_stmt_34,axiom,
( zip_tseitin_6
=> ( ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_35,type,
zip_tseitin_5: $o ).
thf(zf_stmt_36,type,
zip_tseitin_4: $o ).
thf(zf_stmt_37,type,
zip_tseitin_3: $o ).
thf(zf_stmt_38,type,
zip_tseitin_2: $o ).
thf(zf_stmt_39,type,
zip_tseitin_1: $o ).
thf(zf_stmt_40,type,
zip_tseitin_0: $o ).
thf(zf_stmt_41,axiom,
( ( zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 )
& ( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ) ).
thf(zip_derived_cl321,plain,
( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('230',plain,
( zip_tseitin_9
| zip_tseitin_7
| zip_tseitin_12
| zip_tseitin_2
| zip_tseitin_8
| zip_tseitin_5
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_0
| zip_tseitin_3
| zip_tseitin_10
| zip_tseitin_11
| zip_tseitin_6
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl1480_435,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1478_436,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23408,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1480,zip_derived_cl1478]) ).
thf(zip_derived_cl196_437,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('231',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23408,zip_derived_cl196]) ).
thf(zip_derived_cl1473_438,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1472_439,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23329,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl1472]) ).
thf(zip_derived_cl192_440,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('232',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23329,zip_derived_cl192]) ).
thf(zip_derived_cl17,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('233',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1477_441,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1475_442,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23372,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl1475]) ).
thf(zip_derived_cl193_443,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('234',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23372,zip_derived_cl193]) ).
thf(zip_derived_cl1476_444,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1475_445,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23360,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1476,zip_derived_cl1475]) ).
thf(zip_derived_cl194_446,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('235',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23360,zip_derived_cl194]) ).
thf(zip_derived_cl1475_447,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1474_448,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23349,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl1474]) ).
thf(zip_derived_cl197_449,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('236',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23349,zip_derived_cl197]) ).
thf(zip_derived_cl19,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('237',plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('238',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl1495_450,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1494_451,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23557,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1494]) ).
thf(zip_derived_cl197_452,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('239',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23557,zip_derived_cl197]) ).
thf(zip_derived_cl1500_453,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1499_454,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23613,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1500,zip_derived_cl1499]) ).
thf(zip_derived_cl194_455,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('240',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23613,zip_derived_cl194]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('241',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1517_456,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1516_457,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23806,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1517,zip_derived_cl1516]) ).
thf(zip_derived_cl192_458,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('242',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23806,zip_derived_cl192]) ).
thf(zip_derived_cl1517_459,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1514_460,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23804,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1517,zip_derived_cl1514]) ).
thf(zip_derived_cl195_461,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('243',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23804,zip_derived_cl195]) ).
thf(zip_derived_cl300,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('244',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_16 ),
inference(split,[status(esa)],[zip_derived_cl300]) ).
thf(zip_derived_cl40,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('245',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl29,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('246',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1487,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23190_462,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23481,plain,
( ( e10 = e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1487,zip_derived_cl23190]) ).
thf(zip_derived_cl197_463,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('247',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23481,zip_derived_cl197]) ).
thf(zip_derived_cl1501,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1500_464,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23629,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl1500]) ).
thf(zip_derived_cl192_465,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('248',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23629,zip_derived_cl192]) ).
thf(zip_derived_cl1501_466,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1499_467,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23628,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl1499]) ).
thf(zip_derived_cl193_468,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('249',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23628,zip_derived_cl193]) ).
thf(zip_derived_cl1496_469,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1495_470,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23568,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1496,zip_derived_cl1495]) ).
thf(zip_derived_cl194_471,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('250',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23568,zip_derived_cl194]) ).
thf(zip_derived_cl1485_472,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1483_473,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23462,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl1483]) ).
thf(zip_derived_cl193_474,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('251',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23462,zip_derived_cl193]) ).
thf(zip_derived_cl1484_475,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1483_476,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23451,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl1483]) ).
thf(zip_derived_cl194_477,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('252',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23451,zip_derived_cl194]) ).
thf(zip_derived_cl1483_478,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1482_479,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23442,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1482]) ).
thf(zip_derived_cl197_480,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('253',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23442,zip_derived_cl197]) ).
thf(zip_derived_cl20,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('254',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1533_481,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1530_482,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23980,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1530]) ).
thf(zip_derived_cl195_483,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('255',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23980,zip_derived_cl195]) ).
thf(zip_derived_cl1532_484,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1530_485,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23966,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl1530]) ).
thf(zip_derived_cl196_486,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('256',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23966,zip_derived_cl196]) ).
thf(zip_derived_cl1531_487,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1530_488,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23955,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl1530]) ).
thf(zip_derived_cl197_489,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('257',plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23955,zip_derived_cl197]) ).
thf(zip_derived_cl304,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('258',plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_16 ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl320,plain,
( zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('259',plain,
( zip_tseitin_16
| zip_tseitin_17
| zip_tseitin_18
| zip_tseitin_19 ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl314,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('260',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl314]) ).
thf(zip_derived_cl1491,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl424_490,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23510,plain,
( ( e13 = e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl424]) ).
thf(zip_derived_cl193_491,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('261',plain,
( ( op1 @ e12 @ e12 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23510,zip_derived_cl193]) ).
thf(zip_derived_cl1490,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl424_492,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23505,plain,
( ( e13 = e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl424]) ).
thf(zip_derived_cl195_493,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('262',plain,
( ( op1 @ e12 @ e12 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23505,zip_derived_cl195]) ).
thf('263',plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl316,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('264',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('265',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
thf(zip_derived_cl1513_494,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1512_495,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23769,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl1512]) ).
thf(zip_derived_cl192_496,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('266',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23769,zip_derived_cl192]) ).
thf(zip_derived_cl1512_497,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1511_498,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23759,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl1511]) ).
thf(zip_derived_cl194_499,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('267',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23759,zip_derived_cl194]) ).
thf(zip_derived_cl1481_500,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1479_501,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23424,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1481,zip_derived_cl1479]) ).
thf(zip_derived_cl193_502,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('268',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23424,zip_derived_cl193]) ).
thf(zip_derived_cl1667_503,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1475_504,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl12652,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23241_505,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl441_506,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl36993,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12652,zip_derived_cl23241,zip_derived_cl441]) ).
thf(zip_derived_cl36995,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1475,zip_derived_cl36993]) ).
thf(zip_derived_cl27350_507,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36998,plain,
( ( e21
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36995,zip_derived_cl27350]) ).
thf(zip_derived_cl37227,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl36998]) ).
thf('269',plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37227]) ).
thf(zip_derived_cl289,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('270',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl1670_508,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1478_509,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl12651,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl23241_510,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl427]) ).
thf(zip_derived_cl27350_511,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl23250,zip_derived_cl23214]) ).
thf(zip_derived_cl36986,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12651,zip_derived_cl23241,zip_derived_cl27350]) ).
thf(zip_derived_cl36987,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl36986]) ).
thf(zip_derived_cl23257_512,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl427,zip_derived_cl23208]) ).
thf(zip_derived_cl36990,plain,
( ( e20
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36987,zip_derived_cl23257]) ).
thf(zip_derived_cl37188,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl36990]) ).
thf('271',plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37188]) ).
thf(zip_derived_cl1481_513,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1478_514,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23423,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1481,zip_derived_cl1478]) ).
thf(zip_derived_cl195_515,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('272',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23423,zip_derived_cl195]) ).
thf(zip_derived_cl1479_516,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1478_517,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23394,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl1478]) ).
thf(zip_derived_cl197_518,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('273',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23394,zip_derived_cl197]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('274',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('275',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1470_519,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23190_520,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl23193,plain,
( e10
!= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl23190]) ).
thf(zip_derived_cl27137,plain,
( ( e10 != e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1470,zip_derived_cl23193]) ).
thf('276',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27137]) ).
thf(zip_derived_cl1530_521,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1526_522,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119_523,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23907,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl119]) ).
thf(zip_derived_cl27464,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23907]) ).
thf('277',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27464]) ).
thf(zip_derived_cl1530_524,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1482_525,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141_526,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23434,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl141]) ).
thf(zip_derived_cl27071,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23434]) ).
thf('278',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27071]) ).
thf(zip_derived_cl283,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('279',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('280',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('281',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl1522_527,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1506_528,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23694,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl131]) ).
thf(zip_derived_cl27287,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl23694]) ).
thf('282',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27287]) ).
thf(zip_derived_cl1514_529,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1506_530,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23693,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl112]) ).
thf(zip_derived_cl27277,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23693]) ).
thf('283',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27277]) ).
thf(zip_derived_cl1506_531,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1474_532,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127_533,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23339,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl127]) ).
thf(zip_derived_cl26920,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl23339]) ).
thf('284',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26920]) ).
thf(zip_derived_cl1507_534,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1506_535,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23705,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1506]) ).
thf(zip_derived_cl197_536,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('285',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23705,zip_derived_cl197]) ).
thf(zip_derived_cl259,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('286',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zip_derived_cl1667_537,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25188_538,plain,
( ( ( h4 @ e10 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl444]) ).
thf(zip_derived_cl1226,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e10 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18015,plain,
( ( ( h4 @ e10 )
!= e21 )
<= ( ( h4 @ e10 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1226]) ).
thf(zip_derived_cl28501,plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
<= ( ( ( h4 @ e10 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25188,zip_derived_cl18015]) ).
thf(zip_derived_cl28516,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ e10 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl28501]) ).
thf('287',plain,
( ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28516]) ).
thf(zip_derived_cl1664_539,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1262,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e13 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18736,plain,
( ( ( h4 @ e13 )
!= e22 )
<= ( ( h4 @ e13 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1262]) ).
thf(zip_derived_cl442_540,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl25960,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
<= ( ( h4 @ e13 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18736,zip_derived_cl442]) ).
thf(zip_derived_cl25963,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e13 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl25960]) ).
thf('288',plain,
( ( ( h4 @ e13 )
= e22 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25963]) ).
thf(zip_derived_cl91,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('289',plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1719_541,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1715_542,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25884,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl164]) ).
thf(zip_derived_cl27881,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl25884]) ).
thf('290',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27881]) ).
thf('291',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1720,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27359_543,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1688,'46']) ).
thf(zip_derived_cl46638,plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl27359]) ).
thf(zip_derived_cl48293,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl46638]) ).
thf('292',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl48293]) ).
thf(zip_derived_cl1686,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23208_544,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23209,plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl23208]) ).
thf(zip_derived_cl27300,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1686,zip_derived_cl23209]) ).
thf('293',plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27300]) ).
thf('294',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1707,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23214_545,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl23205,zip_derived_cl23208]) ).
thf(zip_derived_cl27346,plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl23214]) ).
thf(zip_derived_cl27536,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1707,zip_derived_cl27346]) ).
thf('295',plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27536]) ).
thf(zip_derived_cl1717,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_546,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23204,plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl427]) ).
thf(zip_derived_cl27294,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl23204]) ).
thf('296',plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl27294]) ).
thf(zip_derived_cl1722_547,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1718,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25924,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl167]) ).
thf(zip_derived_cl27901,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl25924]) ).
thf('297',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27901]) ).
thf(zip_derived_cl1722_548,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1706_549,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25801,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl191]) ).
thf(zip_derived_cl27813,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl25801]) ).
thf('298',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27813]) ).
thf(zip_derived_cl1721_550,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1705_551,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25786,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl185]) ).
thf(zip_derived_cl27811,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl25786]) ).
thf('299',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27811]) ).
thf(zip_derived_cl1709_552,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1705_553,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25785,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl161]) ).
thf(zip_derived_cl27806,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1709,zip_derived_cl25785]) ).
thf('300',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27806]) ).
thf(zip_derived_cl1339,plain,
( ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ e13 )
!= e22 )
| ( ( h4 @ e10 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('301',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e13 )
!= e22 )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ e10 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1339]) ).
thf(zip_derived_cl1708_554,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1696_555,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25677,plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1696,zip_derived_cl159]) ).
thf(zip_derived_cl27730,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl25677]) ).
thf('302',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27730]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ) ) ).
thf(zf_stmt_42,axiom,
( zip_tseitin_21
=> ( ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl329,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('303',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf(zf_stmt_43,axiom,
( zip_tseitin_29
=> ( ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl369,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('304',plain,
( ~ zip_tseitin_29
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zf_stmt_44,axiom,
( zip_tseitin_33
=> ( ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl389,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('305',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zf_stmt_45,axiom,
( zip_tseitin_24
=> ( ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl346,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('306',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl346]) ).
thf(zf_stmt_46,axiom,
( zip_tseitin_37
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl407,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('307',plain,
( ~ zip_tseitin_37
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zf_stmt_47,axiom,
( zip_tseitin_28
=> ( ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl366,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('308',plain,
( ~ zip_tseitin_28
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('309',plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1691_556,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1690_557,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25600,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1690]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('310',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25600,zip_derived_cl203]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('311',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1672_558,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1671_559,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25321,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1672,zip_derived_cl1671]) ).
thf(zip_derived_cl200_560,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('312',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25321,zip_derived_cl200]) ).
thf(zip_derived_cl1672_561,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670_562,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25320,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1672,zip_derived_cl1670]) ).
thf(zip_derived_cl202_563,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('313',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25320,zip_derived_cl202]) ).
thf(zf_stmt_48,axiom,
( zip_tseitin_32
=> ( ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl386,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('314',plain,
( ~ zip_tseitin_32
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl67,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('315',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1711_564,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710_565,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25846,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1710]) ).
thf(zip_derived_cl203_566,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('316',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25846,zip_derived_cl203]) ).
thf(zip_derived_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('317',plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1717_567,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1716_568,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25913,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl1716]) ).
thf(zip_derived_cl198_569,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('318',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25913,zip_derived_cl198]) ).
thf(zip_derived_cl1703_570,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1702,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25762,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl1702]) ).
thf(zip_derived_cl203_571,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('319',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25762,zip_derived_cl203]) ).
thf(zf_stmt_49,axiom,
( zip_tseitin_36
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl404,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('320',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_36
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl404]) ).
thf(zip_derived_cl1701_572,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1700_573,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25742,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1701,zip_derived_cl1700]) ).
thf(zip_derived_cl198_574,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('321',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25742,zip_derived_cl198]) ).
thf(zip_derived_cl1720_575,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1718_576,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25940,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1720,zip_derived_cl1718]) ).
thf(zip_derived_cl202_577,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('322',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25940,zip_derived_cl202]) ).
thf(zip_derived_cl82,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('323',plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1705_578,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1702_579,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25788,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl1702]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('324',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25788,zip_derived_cl201]) ).
thf(zip_derived_cl1705_580,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1703_581,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25789,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl1703]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('325',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25789,zip_derived_cl199]) ).
thf(zip_derived_cl1687,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1686_582,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25541,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1686]) ).
thf(zip_derived_cl203_583,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('326',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25541,zip_derived_cl203]) ).
thf(zip_derived_cl84,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('327',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('328',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1688_584,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1686_585,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25555,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1688,zip_derived_cl1686]) ).
thf(zip_derived_cl202_586,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('329',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25555,zip_derived_cl202]) ).
thf(zip_derived_cl402,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('330',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_36 ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl1673_587,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1672_588,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25339,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1673,zip_derived_cl1672]) ).
thf(zip_derived_cl198_589,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('331',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25339,zip_derived_cl198]) ).
thf(zip_derived_cl1721_590,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1719_591,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25951,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1719]) ).
thf(zip_derived_cl199_592,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('332',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25951,zip_derived_cl199]) ).
thf(zip_derived_cl1713_593,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1711_594,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25866,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl1711]) ).
thf(zip_derived_cl199_595,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('333',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25866,zip_derived_cl199]) ).
thf(zip_derived_cl1700_596,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1698_597,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25729,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1700,zip_derived_cl1698]) ).
thf(zip_derived_cl202_598,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('334',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25729,zip_derived_cl202]) ).
thf(zip_derived_cl1716_599,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1715_600,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25900,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1716,zip_derived_cl1715]) ).
thf(zip_derived_cl200_601,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('335',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25900,zip_derived_cl200]) ).
thf(zip_derived_cl74,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('336',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1716_602,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1714_603,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25899,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1716,zip_derived_cl1714]) ).
thf(zip_derived_cl202_604,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('337',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25899,zip_derived_cl202]) ).
thf(zip_derived_cl1669_605,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666_606,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25273,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1666]) ).
thf(zip_derived_cl201_607,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('338',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25273,zip_derived_cl201]) ).
thf(zip_derived_cl1669_608,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1667_609,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25274,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1667]) ).
thf(zip_derived_cl199_610,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('339',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25274,zip_derived_cl199]) ).
thf(zip_derived_cl88,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('340',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl1693,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1692_611,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25631,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl1692]) ).
thf(zip_derived_cl198_612,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('341',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25631,zip_derived_cl198]) ).
thf(zip_derived_cl1693_613,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1691_614,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25630,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl1691]) ).
thf(zip_derived_cl199_615,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('342',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25630,zip_derived_cl199]) ).
thf(zip_derived_cl1707_616,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1706_617,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25807,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1707,zip_derived_cl1706]) ).
thf(zip_derived_cl203_618,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('343',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25807,zip_derived_cl203]) ).
thf(zip_derived_cl83,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('344',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1719_619,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1718_620,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25931,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1719,zip_derived_cl1718]) ).
thf(zip_derived_cl203_621,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('345',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25931,zip_derived_cl203]) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('346',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zf_stmt_50,axiom,
( zip_tseitin_22
=> ( ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl334,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('347',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zf_stmt_51,axiom,
( zip_tseitin_26
=> ( ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl354,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('348',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl354]) ).
thf(zip_derived_cl1696_622,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25679,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl1694]) ).
thf(zip_derived_cl202_623,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('349',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25679,zip_derived_cl202]) ).
thf(zip_derived_cl1700_624,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1699,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25730,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1700,zip_derived_cl1699]) ).
thf(zip_derived_cl200_625,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('350',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25730,zip_derived_cl200]) ).
thf(zip_derived_cl92,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('351',plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf(zip_derived_cl1676_626,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1674,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25382,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1676,zip_derived_cl1674]) ).
thf(zip_derived_cl202_627,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('352',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25382,zip_derived_cl202]) ).
thf(zip_derived_cl1665,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1662_628,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25208,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1665,zip_derived_cl1662]) ).
thf(zip_derived_cl201_629,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('353',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25208,zip_derived_cl201]) ).
thf(zip_derived_cl387,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('354',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl327,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('355',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl1663_630,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1662_631,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25172,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1663,zip_derived_cl1662]) ).
thf(zip_derived_cl203_632,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('356',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25172,zip_derived_cl203]) ).
thf(zip_derived_cl367,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('357',plain,
( ~ zip_tseitin_29
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf(zip_derived_cl1676_633,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1675,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25383,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1676,zip_derived_cl1675]) ).
thf(zip_derived_cl200_634,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('358',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25383,zip_derived_cl200]) ).
thf(zf_stmt_52,axiom,
( zip_tseitin_23
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl337,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('359',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zf_stmt_53,axiom,
( zip_tseitin_27
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl357,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('360',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl357]) ).
thf(zip_derived_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('361',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl1681,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl23208_635,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl25450,plain,
( ( e20 = e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1681,zip_derived_cl23208]) ).
thf(zip_derived_cl201_636,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('362',plain,
( ( op2 @ e22 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25450,zip_derived_cl201]) ).
thf(zip_derived_cl1696_637,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1695_638,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25680,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl1695]) ).
thf(zip_derived_cl200_639,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('363',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25680,zip_derived_cl200]) ).
thf(zip_derived_cl1713_640,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1712_641,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25867,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl1712]) ).
thf(zip_derived_cl198_642,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('364',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25867,zip_derived_cl198]) ).
thf(zip_derived_cl1709_643,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1707_644,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25827,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1709,zip_derived_cl1707]) ).
thf(zip_derived_cl199_645,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('365',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25827,zip_derived_cl199]) ).
thf(zip_derived_cl1721_646,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1718_647,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25950,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1718]) ).
thf(zip_derived_cl201_648,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('366',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25950,zip_derived_cl201]) ).
thf(zf_stmt_54,axiom,
( zip_tseitin_25
=> ( ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl351,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('367',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl351]) ).
thf(zip_derived_cl349,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('368',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zf_stmt_55,axiom,
( zip_tseitin_30
=> ( ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl376,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('369',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zip_derived_cl373,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('370',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zf_stmt_56,axiom,
( zip_tseitin_31
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl381,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('371',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zf_stmt_57,axiom,
( zip_tseitin_35
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl401,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('372',plain,
( ~ zip_tseitin_35
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(zip_derived_cl397,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('373',plain,
( ~ zip_tseitin_35
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl80,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('374',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl371,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('375',plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_29 ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl1689,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1687_649,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25572,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1689,zip_derived_cl1687]) ).
thf(zip_derived_cl199_650,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('376',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25572,zip_derived_cl199]) ).
thf(zip_derived_cl1688_651,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1687_652,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25556,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1688,zip_derived_cl1687]) ).
thf(zip_derived_cl200_653,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('377',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25556,zip_derived_cl200]) ).
thf(zip_derived_cl77,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('378',plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('379',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl341,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('380',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl341]) ).
thf(zip_derived_cl1677_654,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1676_655,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25399,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1676]) ).
thf(zip_derived_cl198_656,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('381',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25399,zip_derived_cl198]) ).
thf(zip_derived_cl1712_657,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710_658,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25856,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1712,zip_derived_cl1710]) ).
thf(zip_derived_cl202_659,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('382',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25856,zip_derived_cl202]) ).
thf(zip_derived_cl361,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('383',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
thf(zip_derived_cl391,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('384',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zip_derived_cl331,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('385',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf(zip_derived_cl356,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('386',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl356]) ).
thf(zip_derived_cl1692_660,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1691_661,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25615,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1692,zip_derived_cl1691]) ).
thf(zip_derived_cl200_662,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('387',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25615,zip_derived_cl200]) ).
thf(zf_stmt_58,axiom,
( zip_tseitin_34
=> ( ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl396,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('388',plain,
( ~ zip_tseitin_34
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zip_derived_cl76,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('389',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('390',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl1715_663,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1714_664,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25886,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1714]) ).
thf(zip_derived_cl203_665,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('391',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25886,zip_derived_cl203]) ).
thf(zip_derived_cl1677_666,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1674_667,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25397,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1674]) ).
thf(zip_derived_cl201_668,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('392',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25397,zip_derived_cl201]) ).
thf(zip_derived_cl1673_669,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1671_670,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25338,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1673,zip_derived_cl1671]) ).
thf(zip_derived_cl199_671,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('393',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25338,zip_derived_cl199]) ).
thf(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('394',plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1675_672,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1674_673,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25367,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1674]) ).
thf(zip_derived_cl203_674,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('395',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25367,zip_derived_cl203]) ).
thf(zip_derived_cl69,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('396',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl1673_675,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670_676,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25337,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1673,zip_derived_cl1670]) ).
thf(zip_derived_cl201_677,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('397',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25337,zip_derived_cl201]) ).
thf(zip_derived_cl1671_678,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670_679,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25305,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1670]) ).
thf(zip_derived_cl203_680,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('398',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25305,zip_derived_cl203]) ).
thf(zip_derived_cl1677_681,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1675_682,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25398,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1675]) ).
thf(zip_derived_cl199_683,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('399',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25398,zip_derived_cl199]) ).
thf(zip_derived_cl1664_684,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1663_685,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25190,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl1663]) ).
thf(zip_derived_cl200_686,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('400',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25190,zip_derived_cl200]) ).
thf(zip_derived_cl1664_687,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1662_688,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25189,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl1662]) ).
thf(zip_derived_cl202_689,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('401',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25189,zip_derived_cl202]) ).
thf(zip_derived_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('402',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl1669_690,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1668_691,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25275,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1668]) ).
thf(zip_derived_cl198_692,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('403',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25275,zip_derived_cl198]) ).
thf(zip_derived_cl1668_693,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1667_694,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25257,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1668,zip_derived_cl1667]) ).
thf(zip_derived_cl200_695,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('404',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25257,zip_derived_cl200]) ).
thf(zip_derived_cl1668_696,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666_697,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25256,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1668,zip_derived_cl1666]) ).
thf(zip_derived_cl202_698,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('405',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25256,zip_derived_cl202]) ).
thf(zip_derived_cl1725_699,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1722_700,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26002,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1725,zip_derived_cl1722]) ).
thf(zip_derived_cl201_701,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('406',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26002,zip_derived_cl201]) ).
thf(zip_derived_cl1724_702,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1722_703,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25988,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1724,zip_derived_cl1722]) ).
thf(zip_derived_cl202_704,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('407',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25988,zip_derived_cl202]) ).
thf(zip_derived_cl1723_705,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1722_706,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25976,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl1722]) ).
thf(zip_derived_cl203_707,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('408',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25976,zip_derived_cl203]) ).
thf(zf_stmt_59,axiom,
( zip_tseitin_20
=> ( ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl325,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('409',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl345,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('410',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl365,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('411',plain,
( ~ zip_tseitin_28
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl385,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('412',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_32 ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl406,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('413',plain,
( ~ zip_tseitin_36
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl406]) ).
thf(zf_stmt_60,type,
zip_tseitin_39: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_39
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_38: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_38
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_64,type,
zip_tseitin_37: $o ).
thf(zf_stmt_65,type,
zip_tseitin_36: $o ).
thf(zf_stmt_66,type,
zip_tseitin_35: $o ).
thf(zf_stmt_67,type,
zip_tseitin_34: $o ).
thf(zf_stmt_68,type,
zip_tseitin_33: $o ).
thf(zf_stmt_69,type,
zip_tseitin_32: $o ).
thf(zf_stmt_70,type,
zip_tseitin_31: $o ).
thf(zf_stmt_71,type,
zip_tseitin_30: $o ).
thf(zf_stmt_72,type,
zip_tseitin_29: $o ).
thf(zf_stmt_73,type,
zip_tseitin_28: $o ).
thf(zf_stmt_74,type,
zip_tseitin_27: $o ).
thf(zf_stmt_75,type,
zip_tseitin_26: $o ).
thf(zf_stmt_76,type,
zip_tseitin_25: $o ).
thf(zf_stmt_77,type,
zip_tseitin_24: $o ).
thf(zf_stmt_78,type,
zip_tseitin_23: $o ).
thf(zf_stmt_79,type,
zip_tseitin_22: $o ).
thf(zf_stmt_80,type,
zip_tseitin_21: $o ).
thf(zf_stmt_81,type,
zip_tseitin_20: $o ).
thf(zf_stmt_82,axiom,
( ( zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36 )
& ( zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32
| zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20 ) ) ).
thf(zip_derived_cl422,plain,
( zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('414',plain,
( zip_tseitin_37
| zip_tseitin_36
| zip_tseitin_38
| zip_tseitin_39 ),
inference(split,[status(esa)],[zip_derived_cl422]) ).
thf(zip_derived_cl416,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('415',plain,
( ~ zip_tseitin_38
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl416]) ).
thf(zip_derived_cl1683,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl427_708,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25480,plain,
( ( e23 = e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl427]) ).
thf(zip_derived_cl199_709,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('416',plain,
( ( op2 @ e22 @ e22 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25480,zip_derived_cl199]) ).
thf(zip_derived_cl1682,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl427_710,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25466,plain,
( ( e23 = e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl427]) ).
thf(zip_derived_cl201_711,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('417',plain,
( ( op2 @ e22 @ e22 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25466,zip_derived_cl201]) ).
thf('418',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl418,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('419',plain,
( ~ zip_tseitin_39
| ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl1697_712,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694_713,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25694,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl1694]) ).
thf(zip_derived_cl201_714,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('420',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25694,zip_derived_cl201]) ).
thf(zip_derived_cl1695_715,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694_716,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25662,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1694]) ).
thf(zip_derived_cl203_717,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('421',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25662,zip_derived_cl203]) ).
thf(zip_derived_cl85,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('422',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1701_718,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1698_719,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25740,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1701,zip_derived_cl1698]) ).
thf(zip_derived_cl201_720,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('423',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25740,zip_derived_cl201]) ).
thf(zip_derived_cl1699_721,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1698_722,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25719,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1699,zip_derived_cl1698]) ).
thf(zip_derived_cl203_723,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('424',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25719,zip_derived_cl203]) ).
thf(zip_derived_cl1709_724,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1708_725,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25828,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1709,zip_derived_cl1708]) ).
thf(zip_derived_cl198_726,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('425',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25828,zip_derived_cl198]) ).
thf(zip_derived_cl1708_727,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1707_728,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25817,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1708,zip_derived_cl1707]) ).
thf(zip_derived_cl200_729,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('426',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25817,zip_derived_cl200]) ).
thf(zip_derived_cl1708_730,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1706_731,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25816,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1708,zip_derived_cl1706]) ).
thf(zip_derived_cl202_732,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('427',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25816,zip_derived_cl202]) ).
thf(zip_derived_cl1701_733,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1699_734,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25741,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1701,zip_derived_cl1699]) ).
thf(zip_derived_cl199_735,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('428',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25741,zip_derived_cl199]) ).
thf(zip_derived_cl411,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('429',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_37 ),
inference(split,[status(esa)],[zip_derived_cl411]) ).
thf(zip_derived_cl1704,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1702_736,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25775,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl1702]) ).
thf(zip_derived_cl202_737,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('430',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25775,zip_derived_cl202]) ).
thf(zip_derived_cl1704_738,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1703_739,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25776,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl1703]) ).
thf(zip_derived_cl200_740,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('431',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25776,zip_derived_cl200]) ).
thf(zip_derived_cl1705_741,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1704_742,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25790,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl1704]) ).
thf(zip_derived_cl198_743,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('432',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25790,zip_derived_cl198]) ).
thf(zip_derived_cl1667_744,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666_745,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25241,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl1666]) ).
thf(zip_derived_cl203_746,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('433',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25241,zip_derived_cl203]) ).
thf(zip_derived_cl1694_747,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23208_748,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl23212,plain,
( ( op2 @ e21 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl23208]) ).
thf(zip_derived_cl27326,plain,
( ( e20 != e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl23212]) ).
thf('434',plain,
( ( op2 @ e21 @ e23 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27326]) ).
thf(zip_derived_cl1709_749,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1697_750,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl159_751,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25692,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl159]) ).
thf(zip_derived_cl27744,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1709,zip_derived_cl25692]) ).
thf('435',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27744]) ).
thf(zip_derived_cl1697_752,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1695_753,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25695,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl1695]) ).
thf(zip_derived_cl199_754,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('436',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25695,zip_derived_cl199]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('437',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl68,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('438',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl1679,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl23208_755,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427]) ).
thf(zip_derived_cl25421,plain,
( ( e20 = e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1679,zip_derived_cl23208]) ).
thf(zip_derived_cl203_756,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('439',plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25421,zip_derived_cl203]) ).
thf(zip_derived_cl1665_757,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1664_758,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25210,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1665,zip_derived_cl1664]) ).
thf(zip_derived_cl198_759,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('440',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25210,zip_derived_cl198]) ).
thf(zip_derived_cl1665_760,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1663_761,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25209,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1665,zip_derived_cl1663]) ).
thf(zip_derived_cl199_762,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('441',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25209,zip_derived_cl199]) ).
thf(zip_derived_cl1712_763,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1711_764,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25857,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1712,zip_derived_cl1711]) ).
thf(zip_derived_cl200_765,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('442',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25857,zip_derived_cl200]) ).
thf(zip_derived_cl1697_766,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1696_767,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25696,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl1696]) ).
thf(zip_derived_cl198_768,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('443',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25696,zip_derived_cl198]) ).
thf(zip_derived_cl81,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('444',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl1709_769,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1706_770,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25826,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1709,zip_derived_cl1706]) ).
thf(zip_derived_cl201_771,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('445',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25826,zip_derived_cl201]) ).
thf(zip_derived_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('446',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1714_772,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1698_773,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25705,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl179]) ).
thf(zip_derived_cl27759,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl25705]) ).
thf('447',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27759]) ).
thf(zip_derived_cl336,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('448',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl336]) ).
thf(zip_derived_cl423,plain,
( zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32
| zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('449',plain,
( zip_tseitin_20
| zip_tseitin_22
| zip_tseitin_27
| zip_tseitin_32
| zip_tseitin_24
| zip_tseitin_25
| zip_tseitin_33
| zip_tseitin_21
| zip_tseitin_26
| zip_tseitin_28
| zip_tseitin_30
| zip_tseitin_31
| zip_tseitin_29
| zip_tseitin_23
| zip_tseitin_34
| zip_tseitin_35 ),
inference(split,[status(esa)],[zip_derived_cl423]) ).
thf(zip_derived_cl326,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('450',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl326]) ).
thf(zip_derived_cl49554,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','44','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','22','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','23','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','21','261','262','20','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','45','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','42','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','43','438','439','440','441','442','443','444','445','446','447','448','449','450']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UYPcG5YYi7 true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:42:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 35.42/5.66 % Solved by fo/fo1_av.sh.
% 35.42/5.66 % done 26334 iterations in 4.822s
% 35.42/5.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.42/5.66 % SZS output start Refutation
% See solution above
% 35.42/5.68
% 35.42/5.68
% 35.42/5.68 % Terminating...
% 35.93/5.78 % Runner terminated.
% 35.93/5.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------