TSTP Solution File: ALG125+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG125+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dDN59hJjj1 true
% Computer : n025.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 17:11:03 EDT 2023
% Result : Theorem 24.43s 4.09s
% Output : Refutation 24.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 54
% Syntax : Number of formulae : 1134 ( 316 unt; 30 typ; 0 def)
% Number of atoms : 3302 (3225 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 11747 (1081 ~;1122 |; 597 &;8468 @)
% ( 0 <=>; 8 =>; 471 <=; 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 : 24 ( 22 usr; 17 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(h3_type,type,
h3: $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(e10_type,type,
e10: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
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_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_cl1356,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
!= ( op1 @ e10 @ e13 ) ) )
| ( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
!= ( op1 @ e11 @ e13 ) ) )
| ( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
!= ( op1 @ e12 @ e13 ) ) )
| ( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= ( op1 @ e13 @ e13 ) ) ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e13 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) ) ) ) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1736,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl27089,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl1736]) ).
thf(zip_derived_cl1356_001,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl27090,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27089,zip_derived_cl1356]) ).
thf('0',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27090]) ).
thf('1',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= ( op1 @ e12 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
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_cl1339,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1338,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22822,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1339,zip_derived_cl1338]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('2',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22822,zip_derived_cl197]) ).
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_cl1351,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
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_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ e13 @ ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ) )
& ( e11
= ( op1 @ e13 @ e13 ) )
& ( e10
= ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ) ) ).
thf(zip_derived_cl289,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22612,plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl289]) ).
thf(zip_derived_cl27538,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl22612]) ).
thf('3',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27538]) ).
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_cl1359,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl1387,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1720,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
<= ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl26887,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1387,zip_derived_cl1720]) ).
thf(zip_derived_cl28056,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl26887]) ).
thf('4',plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28056]) ).
thf('5',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
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_cl1365,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1363,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23172,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1365,zip_derived_cl1363]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('6',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23172,zip_derived_cl193]) ).
thf('7',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1362,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) ) ) ) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1744,plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) )
<= ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
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_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1428,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1356_002,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1354,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23065,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1356,zip_derived_cl1354]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('9',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23065,zip_derived_cl196]) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $o ).
thf(zf_stmt_4,type,
zip_tseitin_2: $o ).
thf(zf_stmt_5,type,
zip_tseitin_1: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_0: $o ).
thf(zf_stmt_8,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ) ).
thf(zip_derived_cl243,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('10',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl1361,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1359_003,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23126,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1361,zip_derived_cl1359]) ).
thf(zip_derived_cl193_004,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('11',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23126,zip_derived_cl193]) ).
thf(zip_derived_cl1359_005,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1358,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23105,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1359,zip_derived_cl1358]) ).
thf(zip_derived_cl197_006,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('12',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23105,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('13',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
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_cl1345,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
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(zip_derived_cl1336,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl289_007,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22790,plain,
( ( e11 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1336,zip_derived_cl289]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('14',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22790,zip_derived_cl194]) ).
thf(zip_derived_cl1334,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl289_008,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22768,plain,
( ( e11 = e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1334,zip_derived_cl289]) ).
thf(zip_derived_cl197_009,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('15',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22768,zip_derived_cl197]) ).
thf(zip_derived_cl1337,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl289_010,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22798,plain,
( ( e11 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl289]) ).
thf(zip_derived_cl193_011,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('16',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22798,zip_derived_cl193]) ).
thf('17',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('18',plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf('19',plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference('sat_resolution*',[status(thm)],['14','15','16','17','18']) ).
thf(zip_derived_cl22905,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl1343,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22911,plain,
( ( e13 = e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22905,zip_derived_cl1343]) ).
thf(zip_derived_cl193_012,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('20',plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22911,zip_derived_cl193]) ).
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_cl1392,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1391,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23485,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl1391]) ).
thf(zip_derived_cl194_013,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('21',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23485,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('22',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
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_cl1376,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl290,plain,
( e10
= ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl289_014,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl289_015,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22621,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl23278,plain,
( ( e10 = e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1376,zip_derived_cl22621]) ).
thf(zip_derived_cl196_016,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('23',plain,
( ( op1 @ e11 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23278,zip_derived_cl196]) ).
thf(zip_derived_cl25,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('24',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
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('25',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1361_017,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1360,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23127,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1361,zip_derived_cl1360]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('26',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23127,zip_derived_cl192]) ).
thf(zip_derived_cl1360_018,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1359_019,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23113,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1360,zip_derived_cl1359]) ).
thf(zip_derived_cl194_020,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('27',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23113,zip_derived_cl194]) ).
thf(zip_derived_cl1353,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1351_021,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23026,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl1351]) ).
thf(zip_derived_cl193_022,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('28',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23026,zip_derived_cl193]) ).
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_cl1397,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1394,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23534,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1397,zip_derived_cl1394]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('29',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23534,zip_derived_cl195]) ).
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('30',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
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_cl1381,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1379,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1375,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl22621_023,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl23268,plain,
( ( e10 = e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl22621]) ).
thf(zip_derived_cl197_024,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('31',plain,
( ( op1 @ e11 @ e11 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23268,zip_derived_cl197]) ).
thf(zip_derived_cl1377,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl22621_025,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl23287,plain,
( ( e10 = e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1377,zip_derived_cl22621]) ).
thf(zip_derived_cl195_026,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('32',plain,
( ( op1 @ e11 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23287,zip_derived_cl195]) ).
thf('33',plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('34',plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf('35',plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('sat_resolution*',[status(thm)],['23','31','32','33','34']) ).
thf(zip_derived_cl23309,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl23338,plain,
( ( e11 = e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl23309]) ).
thf(zip_derived_cl193_027,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('36',plain,
( ( op1 @ e11 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23338,zip_derived_cl193]) ).
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_cl1349,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1348,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22971,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl1348]) ).
thf(zip_derived_cl192_028,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('37',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22971,zip_derived_cl192]) ).
thf(zip_derived_cl1349_029,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1346,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22969,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl1346]) ).
thf(zip_derived_cl195_030,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('38',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22969,zip_derived_cl195]) ).
thf(zip_derived_cl1365_031,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1364,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23173,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1365,zip_derived_cl1364]) ).
thf(zip_derived_cl192_032,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('39',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23173,zip_derived_cl192]) ).
thf(zip_derived_cl1364_033,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1363_034,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23160,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1364,zip_derived_cl1363]) ).
thf(zip_derived_cl194_035,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('40',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23160,zip_derived_cl194]) ).
thf(zip_derived_cl1364_036,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1362_037,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23159,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1364,zip_derived_cl1362]) ).
thf(zip_derived_cl196_038,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('41',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23159,zip_derived_cl196]) ).
thf(zip_derived_cl1353_039,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1350,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23025,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl1350]) ).
thf(zip_derived_cl195_040,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('42',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23025,zip_derived_cl195]) ).
thf(zip_derived_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('43',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl22905_041,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl1344,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22912,plain,
( ( e13 = e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22905,zip_derived_cl1344]) ).
thf(zip_derived_cl192_042,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('44',plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22912,zip_derived_cl192]) ).
thf(zip_derived_cl1341,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1340,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22853,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1341,zip_derived_cl1340]) ).
thf(zip_derived_cl192_043,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('45',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22853,zip_derived_cl192]) ).
thf(zip_derived_cl1341_044,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1338_045,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22851,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1341,zip_derived_cl1338]) ).
thf(zip_derived_cl195_046,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('46',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22851,zip_derived_cl195]) ).
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('47',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1357,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1356_047,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23084,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1357,zip_derived_cl1356]) ).
thf(zip_derived_cl192_048,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('48',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23084,zip_derived_cl192]) ).
thf(zip_derived_cl1356_049,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1355,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23066,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1356,zip_derived_cl1355]) ).
thf(zip_derived_cl194_050,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('49',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23066,zip_derived_cl194]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('50',plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl1389,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1386,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23446,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1389,zip_derived_cl1386]) ).
thf(zip_derived_cl195_051,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('51',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23446,zip_derived_cl195]) ).
thf(zip_derived_cl1387_052,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1386_053,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23423,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1387,zip_derived_cl1386]) ).
thf(zip_derived_cl197_054,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('52',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23423,zip_derived_cl197]) ).
thf(zip_derived_cl1396,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1394_055,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23524,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1396,zip_derived_cl1394]) ).
thf(zip_derived_cl196_056,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('53',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23524,zip_derived_cl196]) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('54',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
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('55',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1380,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23309_057,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl23327,plain,
( ( e11 = e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1380,zip_derived_cl23309]) ).
thf(zip_derived_cl194_058,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('56',plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23327,zip_derived_cl194]) ).
thf(zip_derived_cl22905_059,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl1342,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22910,plain,
( ( e13 = e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22905,zip_derived_cl1342]) ).
thf(zip_derived_cl195_060,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('57',plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22910,zip_derived_cl195]) ).
thf(zip_derived_cl1340_061,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1339_062,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22837,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1340,zip_derived_cl1339]) ).
thf(zip_derived_cl194_063,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('58',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22837,zip_derived_cl194]) ).
thf(zip_derived_cl1340_064,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1338_065,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22836,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1340,zip_derived_cl1338]) ).
thf(zip_derived_cl196_066,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('59',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22836,zip_derived_cl196]) ).
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_cl1373,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1371,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23254,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1373,zip_derived_cl1371]) ).
thf(zip_derived_cl193_067,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('60',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23254,zip_derived_cl193]) ).
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('61',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1348_068,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1346_069,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22954,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl1346]) ).
thf(zip_derived_cl196_070,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('62',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22954,zip_derived_cl196]) ).
thf('63',plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf('64',plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference('sat_resolution*',[status(thm)],['8','9','10','11','12','13','20','21','22','23','24','25','26','27','28','29','30','36','37','38','39','40','41','42','43','14','44','45','46','47','48','49','50','16','31','51','52','53','54','55','56','15','57','58','59','60','61','62','63']) ).
thf(zip_derived_cl23843,plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1428,'64']) ).
thf(zip_derived_cl23843_071,plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1428,'64']) ).
thf(zip_derived_cl27182,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1744,zip_derived_cl23843,zip_derived_cl23843]) ).
thf(zip_derived_cl27183,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1362,zip_derived_cl27182]) ).
thf('65',plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27183]) ).
thf('66',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= ( op1 @ e13 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl1361_072,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22905_073,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl22908,plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl22905]) ).
thf(zip_derived_cl28078,plain,
( ( e13 != e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1361,zip_derived_cl22908]) ).
thf('67',plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl28078]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
!= ( op2 @ e20 @ e23 ) ) )
| ( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= ( op2 @ e21 @ e23 ) ) )
| ( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
!= ( op2 @ e22 @ e23 ) ) )
| ( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= ( op2 @ e23 @ e23 ) ) ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e23 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) ) ) ) ).
thf(zip_derived_cl259,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('68',plain,
( ~ zip_tseitin_5
| ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zip_derived_cl255,plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('69',plain,
( ~ zip_tseitin_4
| ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
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_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_cl1545,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
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_cl1565,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1792,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zip_derived_cl27283,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl1792]) ).
thf(zip_derived_cl28330,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl27283]) ).
thf('70',plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28330]) ).
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_cl1551,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
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_cl1579,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1784,plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl27260,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1579,zip_derived_cl1784]) ).
thf(zip_derived_cl28256,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl27260]) ).
thf('71',plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28256]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) ) ) ) ).
thf(zip_derived_cl263,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('72',plain,
( ~ zip_tseitin_6
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
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_cl72,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('73',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
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_cl1533,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1532,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24518,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1532]) ).
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('74',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24518,zip_derived_cl198]) ).
thf(zip_derived_cl1533_074,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1530,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24516,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1530]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('75',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24516,zip_derived_cl201]) ).
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_cl1540,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1538,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24628,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl1538]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('76',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24628,zip_derived_cl202]) ).
thf(zip_derived_cl73,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('77',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1553,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
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_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
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_cl1537,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
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_cl1528,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) )
& ( e21
= ( op2 @ e23 @ e23 ) )
& ( e20
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ) ).
thf(zip_derived_cl292,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24449,plain,
( ( e21 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1528,zip_derived_cl292]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('78',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24449,zip_derived_cl200]) ).
thf(zip_derived_cl1526,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl292_075,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24443,plain,
( ( e21 = e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl292]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('79',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24443,zip_derived_cl203]) ).
thf(zip_derived_cl1529,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl292_076,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24459,plain,
( ( e21 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1529,zip_derived_cl292]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('80',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24459,zip_derived_cl199]) ).
thf('81',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zf_stmt_12,type,
zip_tseitin_7: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_6: $o ).
thf(zf_stmt_15,type,
zip_tseitin_5: $o ).
thf(zf_stmt_16,type,
zip_tseitin_4: $o ).
thf(zf_stmt_17,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ) ) ).
thf(zip_derived_cl272,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('82',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf('83',plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference('sat_resolution*',[status(thm)],['78','79','80','81','82']) ).
thf(zip_derived_cl24569,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl24572,plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl24569]) ).
thf(zip_derived_cl28532,plain,
( ( e23 != e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl24572]) ).
thf('84',plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28532]) ).
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_cl1548,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1800,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl27301,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl1800]) ).
thf(zip_derived_cl1548_077,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl27303,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27301,zip_derived_cl1548]) ).
thf('85',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27303]) ).
thf(zip_derived_cl1549,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1548_078,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24810,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1548]) ).
thf(zip_derived_cl198_079,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('86',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24810,zip_derived_cl198]) ).
thf(zip_derived_cl267,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('87',plain,
( ~ zip_tseitin_7
| ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl286,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('88',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
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_cl1589,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1581,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
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_cl25318,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1581,zip_derived_cl166]) ).
thf(zip_derived_cl27159,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1589,zip_derived_cl25318]) ).
thf('89',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27159]) ).
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_cl1554,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1530_080,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24569_081,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl1534,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24574,plain,
( ( e23 = e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24569,zip_derived_cl1534]) ).
thf(zip_derived_cl201_082,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('90',plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24574,zip_derived_cl201]) ).
thf(zip_derived_cl291,plain,
( e22
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_083,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_084,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22641,plain,
( e22
= ( op2 @ e23 @ ( op2 @ e21 @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl293,plain,
( e20
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_085,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_086,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22644,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl27978,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl22641,zip_derived_cl22644]) ).
thf(zip_derived_cl1538_087,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl27984,plain,
( ( e22 = e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27978,zip_derived_cl1538]) ).
thf(zip_derived_cl202_088,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('91',plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27984,zip_derived_cl202]) ).
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('92',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('93',plain,
( ( op2 @ e23 @ e22 )
= e20 ),
inference('sat_resolution*',[status(thm)],['90','79','91','92']) ).
thf(zip_derived_cl27999,plain,
( ( op2 @ e23 @ e22 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1530,'93']) ).
thf(zip_derived_cl1808,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl46405,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27999,zip_derived_cl1808]) ).
thf(zip_derived_cl46443,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl46405]) ).
thf('94',plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46443]) ).
thf(zip_derived_cl1586,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1554_089,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24895,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl190]) ).
thf(zip_derived_cl26950,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1586,zip_derived_cl24895]) ).
thf('95',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26950]) ).
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('96',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl1541,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1540_090,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24648,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl1540]) ).
thf(zip_derived_cl198_091,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('97',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24648,zip_derived_cl198]) ).
thf('98',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1556,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1540_092,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24625,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl186]) ).
thf(zip_derived_cl26687,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1556,zip_derived_cl24625]) ).
thf('99',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26687]) ).
thf(zip_derived_cl1360_093,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1358_094,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23112,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1360,zip_derived_cl1358]) ).
thf(zip_derived_cl196_095,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('100',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23112,zip_derived_cl196]) ).
thf(zip_derived_cl1363_096,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1362_097,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23148,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1363,zip_derived_cl1362]) ).
thf(zip_derived_cl197_098,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('101',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23148,zip_derived_cl197]) ).
thf(zip_derived_cl1352,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1351_099,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23012,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1352,zip_derived_cl1351]) ).
thf(zip_derived_cl194_100,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('102',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23012,zip_derived_cl194]) ).
thf(zip_derived_cl1352_101,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1350_102,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23011,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1352,zip_derived_cl1350]) ).
thf(zip_derived_cl196_103,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('103',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23011,zip_derived_cl196]) ).
thf(zip_derived_cl1357_104,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1355_105,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23083,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1357,zip_derived_cl1355]) ).
thf(zip_derived_cl193_106,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('104',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23083,zip_derived_cl193]) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('105',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('107',plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
| ~ zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl1372,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1360_107,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1738,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
<= ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl27114,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl1738]) ).
thf(zip_derived_cl28178,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1372,zip_derived_cl27114]) ).
thf('108',plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28178]) ).
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_cl1369,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1746,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
<= ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl22905_108,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl22905_109,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl27199,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1746,zip_derived_cl22905,zip_derived_cl22905]) ).
thf(zip_derived_cl27203,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1369,zip_derived_cl27199]) ).
thf('109',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= ( op1 @ e13 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27203]) ).
thf(zip_derived_cl1370,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
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_cl22621_110,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl22623,plain,
( e10
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl22621]) ).
thf(zip_derived_cl27563,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1370,zip_derived_cl22623]) ).
thf('110',plain,
( ( op1 @ e11 @ e12 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27563]) ).
thf(zip_derived_cl1371_111,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
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_cl23309_112,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl23311,plain,
( e11
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl23309]) ).
thf(zip_derived_cl28104,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1371,zip_derived_cl23311]) ).
thf('111',plain,
( ( op1 @ e11 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28104]) ).
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('112',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl235,plain,
( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('114',plain,
( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) )
| ~ zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl235]) ).
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_cl1385,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1365_113,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1740,plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) )
<= ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl27140,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
<= ( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl1740]) ).
thf(zip_derived_cl28201,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1385,zip_derived_cl27140]) ).
thf('115',plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28201]) ).
thf(zip_derived_cl1388,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1748,plain,
( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) )
<= ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl235]) ).
thf(zip_derived_cl1410,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('116',plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference('sat_resolution*',[status(thm)],['8','9','10','11','12','13','20','21','22','23','24','25','26','27','28','29','30','36','37','38','39','40','41','42','43','14','44','45','46','47','48','49','50','16','31','51','52','53','54','55','56','62','63','15','57','58','59','60','61']) ).
thf(zip_derived_cl23668,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1410,'116']) ).
thf(zip_derived_cl23668_114,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1410,'116']) ).
thf(zip_derived_cl27219,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1748,zip_derived_cl23668,zip_derived_cl23668]) ).
thf(zip_derived_cl27222,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1388,zip_derived_cl27219]) ).
thf('117',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= ( op1 @ e13 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27222]) ).
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('118',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
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('119',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1373_115,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1372_116,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23255,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1373,zip_derived_cl1372]) ).
thf(zip_derived_cl192_117,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('120',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23255,zip_derived_cl192]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('121',plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('122',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl1391_118,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1732,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) )
<= ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl23309_119,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl23309_120,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl27033,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl23309,zip_derived_cl23309]) ).
thf(zip_derived_cl27035,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1391,zip_derived_cl27033]) ).
thf('123',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27035]) ).
thf(zip_derived_cl1394_121,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1724,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl26939,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1724]) ).
thf(zip_derived_cl1394_122,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl26943,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26939,zip_derived_cl1394]) ).
thf('124',plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= ( op1 @ e10 @ e10 ) )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26943]) ).
thf(zip_derived_cl1359_123,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1355_124,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23048,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1355,zip_derived_cl104]) ).
thf(zip_derived_cl26328,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl23048]) ).
thf('125',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26328]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('126',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf('127',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1372_125,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1356_126,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23063,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl128]) ).
thf(zip_derived_cl26360,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1372,zip_derived_cl23063]) ).
thf('128',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26360]) ).
thf('129',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1373_127,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1369_128,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23205,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1369,zip_derived_cl108]) ).
thf(zip_derived_cl26456,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1373,zip_derived_cl23205]) ).
thf('130',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26456]) ).
thf(zip_derived_cl1358_129,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22621_130,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl22626,plain,
( e10
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl22621]) ).
thf(zip_derived_cl27580,plain,
( ( e10 != e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1358,zip_derived_cl22626]) ).
thf('131',plain,
( ( op1 @ e12 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27580]) ).
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('132',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl23309_131,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl1378,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23315,plain,
( ( e11 = e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23309,zip_derived_cl1378]) ).
thf(zip_derived_cl197_132,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('133',plain,
( ( op1 @ e11 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23315,zip_derived_cl197]) ).
thf('134',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf('135',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('136',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23485,zip_derived_cl194]) ).
thf('137',plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('138',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf('139',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23113,zip_derived_cl194]) ).
thf('140',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23534,zip_derived_cl195]) ).
thf('141',plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf('142',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23159,zip_derived_cl196]) ).
thf('143',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23025,zip_derived_cl195]) ).
thf('144',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf('145',plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf('146',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23084,zip_derived_cl192]) ).
thf('147',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23066,zip_derived_cl194]) ).
thf('148',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl1365_133,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1353_134,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23022,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1353,zip_derived_cl105]) ).
thf(zip_derived_cl26315,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl23022]) ).
thf('149',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26315]) ).
thf(zip_derived_cl1365_135,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1362_136,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23171,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1365,zip_derived_cl1362]) ).
thf(zip_derived_cl195_137,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('150',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23171,zip_derived_cl195]) ).
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_18,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_cl1086,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e11 )
!= 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_18]) ).
thf(zip_derived_cl17385,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1086]) ).
thf(ax17,axiom,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e13 )
= e23 ) ) ).
thf(zip_derived_cl307,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl292_138,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22747,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl24620,plain,
( ( e21 != e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl17385,zip_derived_cl22747]) ).
thf('151',plain,
( ( h4 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl24620]) ).
thf(zip_derived_cl1078,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_18]) ).
thf(zip_derived_cl17221,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_cl1078]) ).
thf(zip_derived_cl289_139,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22747_140,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl309,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl309_141,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl292_142,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl41031,plain,
( ( e21 != e21 )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17221,zip_derived_cl289,zip_derived_cl22747,zip_derived_cl309,zip_derived_cl309,zip_derived_cl292]) ).
thf('152',plain,
( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41031]) ).
thf(zip_derived_cl17223,plain,
( ( ( h4 @ e13 )
!= e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1078]) ).
thf(zip_derived_cl309_143,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24542,plain,
( ( e23 != e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17223,zip_derived_cl309]) ).
thf('153',plain,
( ( h4 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl24542]) ).
thf(zip_derived_cl27999_144,plain,
( ( op2 @ e23 @ e22 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1530,'93']) ).
thf(zip_derived_cl17220,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_cl1078]) ).
thf(zip_derived_cl23843_145,plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1428,'64']) ).
thf(zip_derived_cl308,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl292_146,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_147,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22644_148,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl22757,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl309_149,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl306,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl292_150,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl292_151,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22644_152,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl22736,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl27978_153,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl22641,zip_derived_cl22644]) ).
thf(zip_derived_cl27983,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl41030,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17220,zip_derived_cl23843,zip_derived_cl22757,zip_derived_cl309,zip_derived_cl27983]) ).
thf(zip_derived_cl46408,plain,
( ( e20 != e20 )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27999,zip_derived_cl41030]) ).
thf('154',plain,
( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46408]) ).
thf(zip_derived_cl17218,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_cl1078]) ).
thf(zip_derived_cl23668_154,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1410,'116']) ).
thf(zip_derived_cl27983_155,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl309_156,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl22757_157,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl27978_158,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl22641,zip_derived_cl22644]) ).
thf(zip_derived_cl41026,plain,
( ( e22 != e22 )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17218,zip_derived_cl23668,zip_derived_cl27983,zip_derived_cl309,zip_derived_cl22757,zip_derived_cl27978]) ).
thf('155',plain,
( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41026]) ).
thf(zip_derived_cl17210,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_cl1078]) ).
thf(zip_derived_cl23309_159,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1379,'35']) ).
thf(zip_derived_cl22747_160,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl22747_161,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl22757_162,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
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_cl1571,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
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_cl1568,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl22644_163,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl25126,plain,
( ( e20 = e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1568,zip_derived_cl22644]) ).
thf(zip_derived_cl202_164,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('156',plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25126,zip_derived_cl202]) ).
thf(zip_derived_cl1567,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl22644_165,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl25112,plain,
( ( e20 = e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1567,zip_derived_cl22644]) ).
thf(zip_derived_cl203_166,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('157',plain,
( ( op2 @ e21 @ e21 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25112,zip_derived_cl203]) ).
thf(zip_derived_cl1569,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl22644_167,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl25142,plain,
( ( e20 = e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1569,zip_derived_cl22644]) ).
thf(zip_derived_cl201_168,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('158',plain,
( ( op2 @ e21 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25142,zip_derived_cl201]) ).
thf('159',plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl281,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('160',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf('161',plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference('sat_resolution*',[status(thm)],['156','157','158','159','160']) ).
thf(zip_derived_cl25165,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl40997,plain,
( ( e21 != e21 )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17210,zip_derived_cl23309,zip_derived_cl22747,zip_derived_cl22747,zip_derived_cl22757,zip_derived_cl25165]) ).
thf('162',plain,
( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl40997]) ).
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('163',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1540_169,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1110,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= 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_18]) ).
thf(zip_derived_cl17865,plain,
( ( ( h4 @ e12 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl22736_170,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl24888,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl17865,zip_derived_cl22736]) ).
thf(zip_derived_cl24891,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl24888]) ).
thf('164',plain,
( ( ( h4 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24891]) ).
thf(zip_derived_cl17219,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_cl1078]) ).
thf(zip_derived_cl22905_171,plain,
( ( op1 @ e13 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1345,'19']) ).
thf(zip_derived_cl309_172,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl309_173,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl22747_174,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl24569_175,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl41028,plain,
( ( e23 != e23 )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17219,zip_derived_cl22905,zip_derived_cl309,zip_derived_cl309,zip_derived_cl22747,zip_derived_cl24569]) ).
thf('165',plain,
( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41028]) ).
thf(zip_derived_cl17224,plain,
( ( ( h4 @ e10 )
!= e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1078]) ).
thf(zip_derived_cl22757_176,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl24544,plain,
( ( e20 != e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17224,zip_derived_cl22757]) ).
thf('166',plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl24544]) ).
thf(zip_derived_cl17211,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_cl1078]) ).
thf(zip_derived_cl22621_177,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl289,zip_derived_cl289]) ).
thf(zip_derived_cl22757_178,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl22747_179,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl22747_180,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl22644_181,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl40999,plain,
( ( e20 != e20 )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17211,zip_derived_cl22621,zip_derived_cl22757,zip_derived_cl22747,zip_derived_cl22747,zip_derived_cl22644]) ).
thf('167',plain,
( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl40999]) ).
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_cl1577,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1385_182,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl17209,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_cl1078]) ).
thf(zip_derived_cl22757_183,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl309_184,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl40992,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17209,zip_derived_cl22757,zip_derived_cl309]) ).
thf(zip_derived_cl40994,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1385,zip_derived_cl40992]) ).
thf(zip_derived_cl309_185,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl40996,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40994,zip_derived_cl309]) ).
thf(zip_derived_cl41016,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl40996]) ).
thf('168',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41016]) ).
thf(zip_derived_cl1565_186,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1373_187,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('169',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23171,zip_derived_cl195]) ).
thf('170',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23148,zip_derived_cl197]) ).
thf('171',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf('172',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26315]) ).
thf(zip_derived_cl253,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('173',plain,
( zip_tseitin_3
| zip_tseitin_1
| zip_tseitin_0
| zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf('174',plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference('sat_resolution*',[status(thm)],['169','100','170','102','103','104','105','106','107','108','109','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','137','23','24','138','26','139','28','39','40','41','42','144','45','46','145','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','127','128','129']) ).
thf(zip_derived_cl28208,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1373,'174']) ).
thf(zip_derived_cl17212,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_cl1078]) ).
thf(zip_derived_cl22747_188,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl27983_189,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl41005,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17212,zip_derived_cl22747,zip_derived_cl27983]) ).
thf(zip_derived_cl46514,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28208,zip_derived_cl41005]) ).
thf(zip_derived_cl309_190,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46522,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46514,zip_derived_cl309]) ).
thf(zip_derived_cl46527,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl46522]) ).
thf('175',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46527]) ).
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_cl1560,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1368,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
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('176',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf('177',plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('sat_resolution*',[status(thm)],['169','100','170','102','103','104','105','106','107','108','109','129','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','137','23','24','138','26','139','28','39','40','41','42','144','45','46','145','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','127','128','176']) ).
thf(zip_derived_cl28207,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1368,'177']) ).
thf(zip_derived_cl17213,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_cl1078]) ).
thf(zip_derived_cl22747_191,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl309_192,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl41006,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17213,zip_derived_cl22747,zip_derived_cl309]) ).
thf(zip_derived_cl46494,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28207,zip_derived_cl41006]) ).
thf(zip_derived_cl27983_193,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl46496,plain,
( ( e22
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46494,zip_derived_cl27983]) ).
thf(zip_derived_cl46523,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl46496]) ).
thf('178',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46523]) ).
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_cl1584,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1392_194,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1360_195,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1356_196,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl104_197,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23061,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl104]) ).
thf(zip_derived_cl26350,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl23061]) ).
thf('179',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26350]) ).
thf('180',plain,
( ( op1 @ e10 @ e11 )
= e12 ),
inference('sat_resolution*',[status(thm)],['169','100','170','102','103','104','105','106','107','108','109','129','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','23','24','138','26','139','28','39','40','41','42','144','45','46','145','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','127','179','137']) ).
thf(zip_derived_cl28210,plain,
( ( op1 @ e10 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1392,'180']) ).
thf(zip_derived_cl17207,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_cl1078]) ).
thf(zip_derived_cl22757_198,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl22747_199,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl40987,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17207,zip_derived_cl22757,zip_derived_cl22747]) ).
thf(zip_derived_cl46576,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28210,zip_derived_cl40987]) ).
thf(zip_derived_cl27983_200,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl46583,plain,
( ( e22
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46576,zip_derived_cl27983]) ).
thf(zip_derived_cl46585,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1584,zip_derived_cl46583]) ).
thf('181',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46585]) ).
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('182',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1585,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl183,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24569_201,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl24573,plain,
( ( op2 @ e20 @ e21 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl24569]) ).
thf(zip_derived_cl28580,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl24573]) ).
thf('183',plain,
( ( op2 @ e20 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28580]) ).
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('184',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl24569_202,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl1536,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24576,plain,
( ( e23 = e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24569,zip_derived_cl1536]) ).
thf(zip_derived_cl198_203,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('185',plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24576,zip_derived_cl198]) ).
thf(zip_derived_cl1579_204,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1387_205,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('186',plain,
( ( op1 @ e10 @ e12 )
= e11 ),
inference('sat_resolution*',[status(thm)],['2','106','107','108','109','129','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','137','23','24','138','26','139','28','39','40','41','42','144','45','46','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','145']) ).
thf(zip_derived_cl28209,plain,
( ( op1 @ e10 @ e12 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1387,'186']) ).
thf(zip_derived_cl17208,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_cl1078]) ).
thf(zip_derived_cl22757_206,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl27983_207,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl40991,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17208,zip_derived_cl22757,zip_derived_cl27983]) ).
thf(zip_derived_cl46544,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28209,zip_derived_cl40991]) ).
thf(zip_derived_cl22747_208,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl46553,plain,
( ( e21
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46544,zip_derived_cl22747]) ).
thf(zip_derived_cl46554,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1579,zip_derived_cl46553]) ).
thf('187',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46554]) ).
thf(zip_derived_cl1581_209,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1579_210,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25320,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl1579]) ).
thf(zip_derived_cl199_211,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('188',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25320,zip_derived_cl199]) ).
thf(zip_derived_cl1551_212,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1359_213,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('189',plain,
( ( op1 @ e12 @ e11 )
= e11 ),
inference('sat_resolution*',[status(thm)],['3','169','100','102','103','104','105','131','67','6','170','106','107','108','109','129','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','137','23','24','26','139','28','39','40','41','42','144','45','46','145','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','138']) ).
thf(zip_derived_cl28206,plain,
( ( op1 @ e12 @ e11 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1359,'189']) ).
thf(zip_derived_cl17215,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_cl1078]) ).
thf(zip_derived_cl27983_214,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl22747_215,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl41012,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17215,zip_derived_cl27983,zip_derived_cl22747]) ).
thf(zip_derived_cl46463,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28206,zip_derived_cl41012]) ).
thf(zip_derived_cl22747_216,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl292]) ).
thf(zip_derived_cl46472,plain,
( ( e21
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46463,zip_derived_cl22747]) ).
thf(zip_derived_cl46473,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl46472]) ).
thf('190',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46473]) ).
thf(zip_derived_cl1548_217,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1356_218,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('191',plain,
( ( op1 @ e12 @ e12 )
= e12 ),
inference('sat_resolution*',[status(thm)],['169','100','170','102','103','104','105','106','107','108','109','129','110','111','112','32','113','114','115','117','171','119','8','9','10','11','12','136','137','23','24','138','26','139','28','39','40','41','42','144','45','46','145','146','51','52','53','54','55','56','62','58','60','130','120','172','121','122','30','36','61','14','44','63','15','57','37','38','59','123','124','29','135','20','50','16','31','125','147','126','173','127']) ).
thf(zip_derived_cl28205,plain,
( ( op1 @ e12 @ e12 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1356,'191']) ).
thf(zip_derived_cl17216,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_cl1078]) ).
thf(zip_derived_cl27983_219,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl27983_220,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl41013,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17216,zip_derived_cl27983,zip_derived_cl27983]) ).
thf(zip_derived_cl46430,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28205,zip_derived_cl41013]) ).
thf(zip_derived_cl27983_221,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl46442,plain,
( ( e22
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46430,zip_derived_cl27983]) ).
thf(zip_derived_cl46447,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl46442]) ).
thf('192',plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46447]) ).
thf(zip_derived_cl1564,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1548_222,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24781,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl176]) ).
thf(zip_derived_cl26854,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1564,zip_derived_cl24781]) ).
thf('193',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26854]) ).
thf(zip_derived_cl1552,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1548_223,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24779,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl152]) ).
thf(zip_derived_cl26845,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24779]) ).
thf('194',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26845]) ).
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('195',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl1531,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl292_224,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22635,plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl292]) ).
thf(zip_derived_cl27596,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl22635]) ).
thf('196',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27596]) ).
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('197',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1543,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl292_225,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22638,plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl292]) ).
thf(zip_derived_cl27614,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl22638]) ).
thf('198',plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27614]) ).
thf(zip_derived_cl1555,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25165_226,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl25169,plain,
( e21
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl25165]) ).
thf(zip_derived_cl28652,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1555,zip_derived_cl25169]) ).
thf('199',plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28652]) ).
thf('200',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl268,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('201',plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
| ~ zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl268]) ).
thf(zip_derived_cl264,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('202',plain,
( ~ zip_tseitin_6
| ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl1561,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1810,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl268]) ).
thf(zip_derived_cl24569_227,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl24569_228,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl27319,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1810,zip_derived_cl24569,zip_derived_cl24569]) ).
thf(zip_derived_cl27323,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1561,zip_derived_cl27319]) ).
thf('203',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= ( op2 @ e23 @ e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27323]) ).
thf(zip_derived_cl1564_229,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1552_230,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1802,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl27307,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1802]) ).
thf(zip_derived_cl28353,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1564,zip_derived_cl27307]) ).
thf('204',plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28353]) ).
thf('205',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
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('206',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl1573,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25165_231,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl25198,plain,
( ( e21 = e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1573,zip_derived_cl25165]) ).
thf(zip_derived_cl199_232,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('207',plain,
( ( op2 @ e21 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25198,zip_derived_cl199]) ).
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('208',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1572,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25165_233,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl25182,plain,
( ( e21 = e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1572,zip_derived_cl25165]) ).
thf(zip_derived_cl200_234,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('209',plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25182,zip_derived_cl200]) ).
thf(zip_derived_cl1565_235,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1563,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25080,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl1563]) ).
thf(zip_derived_cl199_236,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('210',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25080,zip_derived_cl199]) ).
thf(zip_derived_cl1564_237,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1563_238,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25064,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1564,zip_derived_cl1563]) ).
thf(zip_derived_cl200_239,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('211',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25064,zip_derived_cl200]) ).
thf(zip_derived_cl1561_240,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1560_241,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25016,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl1560]) ).
thf(zip_derived_cl198_242,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('212',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25016,zip_derived_cl198]) ).
thf(zip_derived_cl1562,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22644_243,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl22646,plain,
( e20
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl22644]) ).
thf(zip_derived_cl27640,plain,
( ( e20 != e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl22646]) ).
thf('213',plain,
( ( op2 @ e21 @ e22 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27640]) ).
thf(zip_derived_cl265,plain,
( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('214',plain,
( ~ zip_tseitin_6
| ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl269,plain,
( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('215',plain,
( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) )
| ~ zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl1577_244,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1557,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1804,plain,
( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl27314,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
<= ( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl1804]) ).
thf(zip_derived_cl28377,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl27314]) ).
thf('216',plain,
( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28377]) ).
thf(zip_derived_cl1580,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27978_245,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl22641,zip_derived_cl22644]) ).
thf(zip_derived_cl1812,plain,
( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl27986,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27978,zip_derived_cl1812]) ).
thf(zip_derived_cl28015,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1580,zip_derived_cl27986]) ).
thf('217',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= ( op2 @ e23 @ e20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28015]) ).
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('218',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
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('219',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1532_246,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1530_247,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24499,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl1530]) ).
thf(zip_derived_cl202_248,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('220',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24499,zip_derived_cl202]) ).
thf(zip_derived_cl1565_249,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1561_250,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl156,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25011,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1561,zip_derived_cl156]) ).
thf(zip_derived_cl27010,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl25011]) ).
thf('221',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27010]) ).
thf(zip_derived_cl1565_251,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1564_252,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25081,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl1564]) ).
thf(zip_derived_cl198_253,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('222',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25081,zip_derived_cl198]) ).
thf(zip_derived_cl261,plain,
( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('223',plain,
( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) )
| ~ zip_tseitin_5 ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl1583,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1796,plain,
( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl25165_254,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl25165_255,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl27287,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
<= ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1796,zip_derived_cl25165,zip_derived_cl25165]) ).
thf(zip_derived_cl27289,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1583,zip_derived_cl27287]) ).
thf('224',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= ( op2 @ e21 @ e20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27289]) ).
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('225',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl24569_256,plain,
( ( op2 @ e23 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'83']) ).
thf(zip_derived_cl1535,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24575,plain,
( ( e23 = e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24569,zip_derived_cl1535]) ).
thf(zip_derived_cl199_257,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('226',plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24575,zip_derived_cl199]) ).
thf(zip_derived_cl1551_258,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1547,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152_259,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24758,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl152]) ).
thf(zip_derived_cl26826,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl24758]) ).
thf('227',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26826]) ).
thf(zip_derived_cl1548_260,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1547_261,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24786,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl1547]) ).
thf(zip_derived_cl200_262,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('228',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24786,zip_derived_cl200]) ).
thf(zip_derived_cl276,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('229',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl287,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('230',plain,
( zip_tseitin_5
| zip_tseitin_7
| zip_tseitin_4
| zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zip_derived_cl257,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('231',plain,
( ~ zip_tseitin_4
| ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl1542,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1350_263,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl17217,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_cl1078]) ).
thf(zip_derived_cl27983_264,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl309_265,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl41021,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17217,zip_derived_cl27983,zip_derived_cl309]) ).
thf(zip_derived_cl41022,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl41021]) ).
thf(zip_derived_cl22757_266,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl41024,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41022,zip_derived_cl22757]) ).
thf(zip_derived_cl41036,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl41024]) ).
thf('232',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41036]) ).
thf(zip_derived_cl1586_267,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1394_268,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl17206,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_cl1078]) ).
thf(zip_derived_cl22757_269,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl22757_270,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl40979,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17206,zip_derived_cl22757,zip_derived_cl22757]) ).
thf(zip_derived_cl40980,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl40979]) ).
thf(zip_derived_cl22757_271,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl40982,plain,
( ( e20
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40980,zip_derived_cl22757]) ).
thf(zip_derived_cl40984,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1586,zip_derived_cl40982]) ).
thf('233',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40984]) ).
thf(zip_derived_cl1586_272,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1788,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl27269,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1586,zip_derived_cl1788]) ).
thf(zip_derived_cl1586_273,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27273,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27269,zip_derived_cl1586]) ).
thf('234',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27273]) ).
thf(zip_derived_cl79,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('235',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl1550,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22644_274,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl22649,plain,
( e20
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl22644]) ).
thf(zip_derived_cl27658,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl22649]) ).
thf('236',plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27658]) ).
thf(zip_derived_cl1546,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1530_275,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
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_cl24471,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl174]) ).
thf(zip_derived_cl26612,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl24471]) ).
thf('237',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26612]) ).
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('238',plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl25165_276,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1571,'161']) ).
thf(zip_derived_cl1570,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25171,plain,
( ( e21 = e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25165,zip_derived_cl1570]) ).
thf(zip_derived_cl203_277,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('239',plain,
( ( op2 @ e21 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25171,zip_derived_cl203]) ).
thf(zip_derived_cl1557_278,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1365_279,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl17214,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_cl1078]) ).
thf(zip_derived_cl27983_280,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22736,zip_derived_cl27978]) ).
thf(zip_derived_cl22757_281,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl292,zip_derived_cl292,zip_derived_cl22644]) ).
thf(zip_derived_cl41007,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17214,zip_derived_cl27983,zip_derived_cl22757]) ).
thf(zip_derived_cl41009,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl41007]) ).
thf(zip_derived_cl309_282,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl41011,plain,
( ( e23
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41009,zip_derived_cl309]) ).
thf(zip_derived_cl41034,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl41011]) ).
thf('240',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41034]) ).
thf(zip_derived_cl1589_283,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1557_284,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190_285,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24941,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl190]) ).
thf(zip_derived_cl26976,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1589,zip_derived_cl24941]) ).
thf('241',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26976]) ).
thf(zip_derived_cl1557_286,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1549_287,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl154,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24803,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl154]) ).
thf(zip_derived_cl26878,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl24803]) ).
thf('242',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26878]) ).
thf(zip_derived_cl1557_288,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1545_289,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24720,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl153]) ).
thf(zip_derived_cl26794,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl24720]) ).
thf('243',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26794]) ).
thf(zip_derived_cl1557_290,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1554_291,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24942,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1554]) ).
thf(zip_derived_cl201_292,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('244',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24942,zip_derived_cl201]) ).
thf(zip_derived_cl1118,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e11 )
!= 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_18]) ).
thf('245',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1118]) ).
thf('246',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1353_293,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1373_294,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1728,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26993,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1373,zip_derived_cl1728]) ).
thf(zip_derived_cl28145,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1353,zip_derived_cl26993]) ).
thf('247',plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28145]) ).
thf('248',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf('249',plain,
( zip_tseitin_1
| zip_tseitin_3
| zip_tseitin_0
| zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl46591,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','65','66','67','68','69','70','71','72','73','74','75','76','77','84','85','86','87','88','89','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','32','113','114','115','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','9','10','11','12','135','20','136','137','23','138','26','139','28','140','141','36','37','38','39','40','142','143','144','14','44','45','46','145','146','147','148','16','31','51','52','53','54','55','56','63','15','57','58','59','60','61','62','149','150','151','152','153','154','155','162','78','163','164','165','166','167','168','175','178','181','182','183','184','185','187','188','190','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','158','207','208','209','156','210','211','212','213','214','215','216','217','218','80','219','220','221','222','223','224','225','226','157','227','228','229','230','231','232','233','234','235','236','90','79','92','237','238','239','91','240','241','242','243','244','245','246','247','248','249']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG125+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dDN59hJjj1 true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:10:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.43/4.09 % Solved by fo/fo1_av.sh.
% 24.43/4.09 % done 23121 iterations in 3.269s
% 24.43/4.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.43/4.09 % SZS output start Refutation
% See solution above
% 24.43/4.10
% 24.43/4.10
% 24.43/4.10 % Terminating...
% 24.84/4.18 % Runner terminated.
% 24.84/4.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------