TSTP Solution File: ALG116+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Wb3MiAzqhr true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:56 EDT 2023
% Result : Theorem 29.71s 4.97s
% Output : Refutation 30.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 54
% Syntax : Number of formulae : 1283 ( 350 unt; 30 typ; 0 def)
% Number of atoms : 3480 (3403 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 12524 ( 949 ~;1029 |; 601 &;9348 @)
% ( 0 <=>; 8 =>; 589 <=; 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_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_cl1339,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
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_cl1335,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
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_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22984,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1335,zip_derived_cl108]) ).
thf(zip_derived_cl26210,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1339,zip_derived_cl22984]) ).
thf('0',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26210]) ).
thf(co1,conjecture,
( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl1044,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17119,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_cl1044]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ e13 ) )
& ( e11
= ( op1 @ e13 @ e13 ) )
& ( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ) ).
thf(zip_derived_cl254,plain,
( e12
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl255,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22503,plain,
( e12
= ( op1 @ ( op1 @ e13 @ e11 ) @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl255]) ).
thf(zip_derived_cl256,plain,
( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl255_001,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22509,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl26933,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl22503,zip_derived_cl22509]) ).
thf(ax17,axiom,
( ( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e13 )
= e23 ) ) ).
thf(zip_derived_cl272,plain,
( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) )
& ( e21
= ( op2 @ e23 @ e23 ) )
& ( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) ).
thf(zip_derived_cl258,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl259,plain,
( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl258_002,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22524,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22591,plain,
( ( h4 @ e12 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl257,plain,
( e22
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl258_003,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22523,plain,
( e22
= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl258]) ).
thf(zip_derived_cl22524_004,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl27541,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl27548,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl274,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl258_005,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22524_006,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22601,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl275,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27541_007,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl42808,plain,
( ( e22 != e22 )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17119,zip_derived_cl26933,zip_derived_cl27548,zip_derived_cl22601,zip_derived_cl275,zip_derived_cl27541]) ).
thf('1',plain,
( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42808]) ).
thf(zip_derived_cl17129,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_cl1044]) ).
thf(zip_derived_cl22509_008,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22601_009,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl275_010,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl273,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl258_011,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22596,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl22524_012,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl42889,plain,
( ( e20 != e20 )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17129,zip_derived_cl22509,zip_derived_cl22601,zip_derived_cl275,zip_derived_cl22596,zip_derived_cl22524]) ).
thf('2',plain,
( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42889]) ).
thf(zip_derived_cl17133,plain,
( ( ( h4 @ e13 )
!= e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1044]) ).
thf(zip_derived_cl275_013,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24170,plain,
( ( e23 != e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17133,zip_derived_cl275]) ).
thf('3',plain,
( ( h4 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl24170]) ).
thf(zip_derived_cl17134,plain,
( ( ( h4 @ e10 )
!= e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1044]) ).
thf(zip_derived_cl22601_014,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl24172,plain,
( ( e20 != e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17134,zip_derived_cl22601]) ).
thf('4',plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl24172]) ).
thf(zip_derived_cl17131,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_cl1044]) ).
thf(zip_derived_cl255_015,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22596_016,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl275_017,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl275_018,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl258_019,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl42896,plain,
( ( e21 != e21 )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17131,zip_derived_cl255,zip_derived_cl22596,zip_derived_cl275,zip_derived_cl275,zip_derived_cl258]) ).
thf('5',plain,
( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42896]) ).
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_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_cl1541,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
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_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl258_020,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22522,plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl258]) ).
thf(zip_derived_cl26733,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl22522]) ).
thf('6',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26733]) ).
thf(zip_derived_cl27541_021,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl1540,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27549,plain,
( ( e22 = e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27541,zip_derived_cl1540]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('7',plain,
( ( op2 @ e20 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27549,zip_derived_cl202]) ).
thf(zip_derived_cl27541_022,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl1543,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27550,plain,
( ( e22 = e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27541,zip_derived_cl1543]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('8',plain,
( ( op2 @ e20 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27550,zip_derived_cl198]) ).
thf('9',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1542,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1076,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_0]) ).
thf(zip_derived_cl17775,plain,
( ( ( h4 @ e12 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1076]) ).
thf(zip_derived_cl22591_023,plain,
( ( h4 @ e12 )
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl24486,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl17775,zip_derived_cl22591]) ).
thf(zip_derived_cl24733,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24486]) ).
thf('10',plain,
( ( ( h4 @ e12 )
= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24733]) ).
thf(zip_derived_cl1052,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_0]) ).
thf(zip_derived_cl17295,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1052]) ).
thf(zip_derived_cl22596_024,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl24283,plain,
( ( e21 != e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl17295,zip_derived_cl22596]) ).
thf('11',plain,
( ( h4 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl24283]) ).
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_cl1507,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(ax11,axiom,
( ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl240,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('12',plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
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_cl1553,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1726,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl26775,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1553,zip_derived_cl1726]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22524_025,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22528,plain,
( ( op2 @ e21 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl22524]) ).
thf('13',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26775,zip_derived_cl22528]) ).
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_cl1511,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1508,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24184,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1508]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('14',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24184,zip_derived_cl201]) ).
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_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('15',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl249,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1745,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl258_026,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl258_027,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26980,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1745,zip_derived_cl258,zip_derived_cl258]) ).
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_cl1527,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24471,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl157]) ).
thf(zip_derived_cl27370,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26980,zip_derived_cl24471]) ).
thf('16',plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27370]) ).
thf('17',plain,
( ~ zip_tseitin_7
| ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
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_cl1522,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl248,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1742,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl26969,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1742]) ).
thf(zip_derived_cl1508_028,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24134,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl150]) ).
thf(zip_derived_cl30817,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26969,zip_derived_cl24134]) ).
thf('18',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30817]) ).
thf(zip_derived_cl251,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1748,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl22524_029,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22524_030,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl27019,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1748,zip_derived_cl22524,zip_derived_cl22524]) ).
thf(zip_derived_cl1552,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27021,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27019,zip_derived_cl1552]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('19',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
!= e21 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27021,zip_derived_cl203]) ).
thf(zip_derived_cl237,plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('20',plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl246,plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('21',plain,
( ~ zip_tseitin_6
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl27541_031,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl1721,plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl27551,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27541,zip_derived_cl1721]) ).
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_cl1512,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl33310,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27551,zip_derived_cl1512]) ).
thf(zip_derived_cl201_032,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('22',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33310,zip_derived_cl201]) ).
thf(zip_derived_cl1512_033,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1738,plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 )
<= ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl26908,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl1738]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27541_034,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22523,zip_derived_cl22524]) ).
thf(zip_derived_cl27544,plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl27541]) ).
thf('23',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26908,zip_derived_cl27544]) ).
thf(zip_derived_cl1520,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1512_035,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
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_cl24199,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl154]) ).
thf(zip_derived_cl27072,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl24199]) ).
thf('24',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27072]) ).
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_cl1544,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1512_036,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24201,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl178]) ).
thf(zip_derived_cl27082,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl24201]) ).
thf('25',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27082]) ).
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_cl1516,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22524_037,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22527,plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl22524]) ).
thf(zip_derived_cl26792,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl22527]) ).
thf('26',plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl26792]) ).
thf(zip_derived_cl1545,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl238,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1722,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl26738,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl1722]) ).
thf(zip_derived_cl1518,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
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_cl24314,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl182]) ).
thf(zip_derived_cl29316,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26738,zip_derived_cl24314]) ).
thf('27',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29316]) ).
thf(zip_derived_cl75,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('28',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl1542_038,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1510,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24164,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl172]) ).
thf(zip_derived_cl27043,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24164]) ).
thf('29',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27043]) ).
thf(zip_derived_cl1514,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1512_039,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24241,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl1512]) ).
thf(zip_derived_cl202_040,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('30',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24241,zip_derived_cl202]) ).
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('31',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
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_cl1495,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl258_041,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24019,plain,
( ( e21 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1495,zip_derived_cl258]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('32',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24019,zip_derived_cl199]) ).
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_cl1503,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl22524_042,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl24074,plain,
( ( e20 = e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1503,zip_derived_cl22524]) ).
thf(zip_derived_cl201_043,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('33',plain,
( ( op2 @ e23 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24074,zip_derived_cl201]) ).
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('34',plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1494,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl258_044,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24013,plain,
( ( e21 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl258]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('35',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24013,zip_derived_cl200]) ).
thf(zip_derived_cl1502,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl22524_045,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl24070,plain,
( ( e20 = e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1502,zip_derived_cl22524]) ).
thf(zip_derived_cl202_046,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('36',plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24070,zip_derived_cl202]) ).
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_cl1499,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1497,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24056,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1497]) ).
thf(zip_derived_cl199_047,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('37',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24056,zip_derived_cl199]) ).
thf(zip_derived_cl1498,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1497_048,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24047,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl1497]) ).
thf(zip_derived_cl200_049,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('38',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24047,zip_derived_cl200]) ).
thf(zip_derived_cl1507_050,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1506,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24125,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1506]) ).
thf(zip_derived_cl198_051,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('39',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24125,zip_derived_cl198]) ).
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_cl1533,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl1529,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
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_cl24505,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl158]) ).
thf(zip_derived_cl27398,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl24505]) ).
thf('40',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27398]) ).
thf(zip_derived_cl1521,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1513,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl154_052,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24218,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl154]) ).
thf(zip_derived_cl27099,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl24218]) ).
thf('41',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27099]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('42',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl1496,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22524_053,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22525,plain,
( e20
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl22524]) ).
thf(zip_derived_cl26749,plain,
( ( e20 != e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl22525]) ).
thf('43',plain,
( ( op2 @ e23 @ e22 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl26749]) ).
thf(zip_derived_cl1529_054,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1528,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24508,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1528]) ).
thf(zip_derived_cl203_055,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('44',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24508,zip_derived_cl203]) ).
thf(zip_derived_cl85,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('45',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
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_cl1537,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1521_056,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_cl24363,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl188]) ).
thf(zip_derived_cl27271,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl24363]) ).
thf('46',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27271]) ).
thf(zip_derived_cl26738_057,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl1722]) ).
thf(zip_derived_cl1533_058,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl29307,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26738,zip_derived_cl1533]) ).
thf(zip_derived_cl200_059,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('47',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29307,zip_derived_cl200]) ).
thf(zip_derived_cl1524,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl241,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1729,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl26797,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1729]) ).
thf(zip_derived_cl1552_060,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29462,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26797,zip_derived_cl1552]) ).
thf(zip_derived_cl201_061,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('48',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29462,zip_derived_cl201]) ).
thf(zip_derived_cl1536,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1524_062,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24416,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl159]) ).
thf(zip_derived_cl27330,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl24416]) ).
thf('49',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27330]) ).
thf('50',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1542_063,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1526,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24455,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl173]) ).
thf(zip_derived_cl27359,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24455]) ).
thf('51',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27359]) ).
thf(zip_derived_cl1525,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl258_064,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22521,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl258]) ).
thf(zip_derived_cl26716,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl22521]) ).
thf('52',plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26716]) ).
thf(zip_derived_cl1527_065,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1729_066,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl26799,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1729]) ).
thf(zip_derived_cl258_067,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26803,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26799,zip_derived_cl258]) ).
thf(zip_derived_cl199_068,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('53',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26803,zip_derived_cl199]) ).
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('54',plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf('55',plain,
( ~ zip_tseitin_7
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl1553_069,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1521_070,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
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_cl24364,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl190]) ).
thf(zip_derived_cl27276,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl24364]) ).
thf('56',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27276]) ).
thf(zip_derived_cl27019_071,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1748,zip_derived_cl22524,zip_derived_cl22524]) ).
thf(zip_derived_cl24364_072,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl190]) ).
thf(zip_derived_cl27279,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27019,zip_derived_cl24364]) ).
thf('57',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27279]) ).
thf(zip_derived_cl1521_073,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1742_074,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl26968,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1742]) ).
thf(zip_derived_cl22528_075,plain,
( ( op2 @ e21 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl22524]) ).
thf('58',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26968,zip_derived_cl22528]) ).
thf(zip_derived_cl1522_076,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1521_077,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24383,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1521]) ).
thf(zip_derived_cl200_078,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('59',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24383,zip_derived_cl200]) ).
thf(zip_derived_cl1521_079,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1520_080,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24365,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1520]) ).
thf(zip_derived_cl203_081,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('60',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24365,zip_derived_cl203]) ).
thf(zip_derived_cl26797_082,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1729]) ).
thf(zip_derived_cl1553_083,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29463,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26797,zip_derived_cl1553]) ).
thf(zip_derived_cl199_084,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('61',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29463,zip_derived_cl199]) ).
thf(zip_derived_cl1537_085,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl244,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1734,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl26849,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl1734]) ).
thf(zip_derived_cl22528_086,plain,
( ( op2 @ e21 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl22524]) ).
thf('62',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26849,zip_derived_cl22528]) ).
thf('63',plain,
( ~ zip_tseitin_5
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf('64',plain,
( ~ zip_tseitin_5
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl252,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('65',plain,
( ~ zip_tseitin_7
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl1505,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl258_087,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl22519,plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl258]) ).
thf(zip_derived_cl26663,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl22519]) ).
thf('66',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26663]) ).
thf(zip_derived_cl1504,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl149,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl22524_088,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22526,plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl22524]) ).
thf(zip_derived_cl26770,plain,
( ( e20 != e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl22526]) ).
thf('67',plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl26770]) ).
thf(zip_derived_cl1544_089,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1506_090,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1750,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl27055,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1750]) ).
thf(zip_derived_cl178_091,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl30937,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27055,zip_derived_cl178]) ).
thf(zip_derived_cl31015,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl30937]) ).
thf('68',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31015]) ).
thf(zip_derived_cl1507_092,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1750_093,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl27056,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1750]) ).
thf(zip_derived_cl258_094,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl31023,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27056,zip_derived_cl258]) ).
thf(zip_derived_cl203_095,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('69',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31023,zip_derived_cl203]) ).
thf('70',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf('71',plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl1544_096,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1722_097,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl26737,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl1722]) ).
thf(zip_derived_cl27544_098,plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl27541]) ).
thf('72',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26737,zip_derived_cl27544]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('73',plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
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_cl1548,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
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_cl22524_099,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl22529,plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl22524]) ).
thf(zip_derived_cl26832,plain,
( ( e20 != e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl22529]) ).
thf('74',plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl26832]) ).
thf(zip_derived_cl70,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('75',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl1492,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl258_100,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24001,plain,
( ( e21 = e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1492,zip_derived_cl258]) ).
thf(zip_derived_cl203_101,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('76',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24001,zip_derived_cl203]) ).
thf(zip_derived_cl1552_102,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1520_103,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190_104,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24349,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl190]) ).
thf(zip_derived_cl27258,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24349]) ).
thf('77',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27258]) ).
thf(zip_derived_cl1520_105,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1508_106,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
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_cl24136,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl153]) ).
thf(zip_derived_cl26920,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl24136]) ).
thf('78',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26920]) ).
thf(zip_derived_cl1520_107,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1742_108,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl26967,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1742]) ).
thf(zip_derived_cl24349_109,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl190]) ).
thf('79',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26967,zip_derived_cl24349]) ).
thf(zip_derived_cl92,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('80',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
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('81',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_cl1523,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1742_110,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl26970,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl1742]) ).
thf(zip_derived_cl258_111,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl30918,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26970,zip_derived_cl258]) ).
thf(zip_derived_cl203_112,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('82',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30918,zip_derived_cl203]) ).
thf('83',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('84',plain,
( ~ zip_tseitin_6
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zf_stmt_5,type,
zip_tseitin_7: $o ).
thf(zf_stmt_6,type,
zip_tseitin_6: $o ).
thf(zf_stmt_7,type,
zip_tseitin_5: $o ).
thf(zf_stmt_8,type,
zip_tseitin_4: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ) ).
thf(zip_derived_cl253,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('85',plain,
( zip_tseitin_4
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl239,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('86',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl1549,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1724,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl26754,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1724]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl29394,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26754,zip_derived_cl185]) ).
thf(zip_derived_cl1549_113,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl29416,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29394,zip_derived_cl1549]) ).
thf('87',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29416]) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('88',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl26738_114,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl1722]) ).
thf(zip_derived_cl1530,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158_115,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24523,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl158]) ).
thf(zip_derived_cl29320,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26738,zip_derived_cl24523]) ).
thf('89',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29320]) ).
thf(zip_derived_cl1546,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1542_116,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24726,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl162]) ).
thf(zip_derived_cl27518,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl24726]) ).
thf('90',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27518]) ).
thf(zip_derived_cl27551_117,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27541,zip_derived_cl1721]) ).
thf(zip_derived_cl1514_118,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl33312,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27551,zip_derived_cl1514]) ).
thf(zip_derived_cl198_119,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl33369,plain,
( $false
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33312,zip_derived_cl198]) ).
thf(zip_derived_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('91',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('92',plain,
( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ),
inference('sat_resolution*',[status(thm)],['14','15','16','17','18','19','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','80','81','82','83','84','85','20']) ).
thf('93',plain,
( ( op2 @ e22 @ e22 )
!= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl33369,'92']) ).
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('94',plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1499_120,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1498_121,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24057,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1498]) ).
thf(zip_derived_cl198_122,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('95',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24057,zip_derived_cl198]) ).
thf('96',plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('sat_resolution*',[status(thm)],['12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','6','7','8','9','90','93','94','95','91']) ).
thf(zip_derived_cl33582,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1507,'96']) ).
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_cl1315,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl17128,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_cl1044]) ).
thf(zip_derived_cl275_123,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl22601_124,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42884,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17128,zip_derived_cl275,zip_derived_cl22601]) ).
thf(zip_derived_cl42886,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl42884]) ).
thf(zip_derived_cl275_125,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42888,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42886,zip_derived_cl275]) ).
thf(zip_derived_cl48153,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33582,zip_derived_cl42888]) ).
thf('97',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48153]) ).
thf(zip_derived_cl1522_126,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('98',plain,
( ( op2 @ e22 @ e20 )
= e22 ),
inference('sat_resolution*',[status(thm)],['12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','27','6','7','8','9','29','93','28']) ).
thf(zip_derived_cl33584,plain,
( ( op2 @ e22 @ e20 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1522,'98']) ).
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_cl1330,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl17124,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_cl1044]) ).
thf(zip_derived_cl27548_127,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl22601_128,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42842,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17124,zip_derived_cl27548,zip_derived_cl22601]) ).
thf(zip_derived_cl42845,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1330,zip_derived_cl42842]) ).
thf(zip_derived_cl27548_129,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42849,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42845,zip_derived_cl27548]) ).
thf(zip_derived_cl48177,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33584,zip_derived_cl42849]) ).
thf('99',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48177]) ).
thf(zip_derived_cl1498_130,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('100',plain,
( ( op2 @ e23 @ e22 )
= e22 ),
inference('sat_resolution*',[status(thm)],['12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','6','7','8','9','90','93','94']) ).
thf(zip_derived_cl33581,plain,
( ( op2 @ e23 @ e22 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1498,'100']) ).
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_cl1306,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl17130,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_cl1044]) ).
thf(zip_derived_cl275_131,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27548_132,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42891,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17130,zip_derived_cl275,zip_derived_cl27548]) ).
thf(zip_derived_cl42892,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl42891]) ).
thf(zip_derived_cl27548_133,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42894,plain,
( ( e22
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42892,zip_derived_cl27548]) ).
thf(zip_derived_cl48115,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33581,zip_derived_cl42894]) ).
thf('101',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48115]) ).
thf(zip_derived_cl1517,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1501,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl22524_134,plain,
( e20
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).
thf(zip_derived_cl24066,plain,
( ( e20 = e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl22524]) ).
thf(zip_derived_cl203_135,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('102',plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24066,zip_derived_cl203]) ).
thf(zip_derived_cl1537_136,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1533_137,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24577,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl161]) ).
thf(zip_derived_cl27447,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl24577]) ).
thf('103',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27447]) ).
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('104',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf('105',plain,
( ( op2 @ e22 @ e21 )
= e21 ),
inference('sat_resolution*',[status(thm)],['102','14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','81','82','83','84','85','12','13','80','103','104']) ).
thf(zip_derived_cl33398,plain,
( ( op2 @ e22 @ e21 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1517,'105']) ).
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_cl1325,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl17125,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_cl1044]) ).
thf(zip_derived_cl27548_138,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl22596_139,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42851,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17125,zip_derived_cl27548,zip_derived_cl22596]) ).
thf(zip_derived_cl42852,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1325,zip_derived_cl42851]) ).
thf(zip_derived_cl22596_140,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42855,plain,
( ( e21
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42852,zip_derived_cl22596]) ).
thf(zip_derived_cl47783,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33398,zip_derived_cl42855]) ).
thf('106',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47783]) ).
thf(zip_derived_cl1545_141,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('107',plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference('sat_resolution*',[status(thm)],['12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','80','81','82','83','84','85','86','87','88']) ).
thf(zip_derived_cl33404,plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1545,'107']) ).
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_cl1353,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl17118,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_cl1044]) ).
thf(zip_derived_cl22601_142,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl27548_143,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42801,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17118,zip_derived_cl22601,zip_derived_cl27548]) ).
thf(zip_derived_cl42803,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1353,zip_derived_cl42801]) ).
thf(zip_derived_cl22596_144,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42806,plain,
( ( e21
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42803,zip_derived_cl22596]) ).
thf(zip_derived_cl47889,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33404,zip_derived_cl42806]) ).
thf('108',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47889]) ).
thf(zip_derived_cl1551,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1547,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1722_145,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl26740,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1722]) ).
thf(zip_derived_cl258_146,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26745,plain,
( ( e21 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26740,zip_derived_cl258]) ).
thf(zip_derived_cl200_147,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('109',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26745,zip_derived_cl200]) ).
thf(zip_derived_cl1555,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1726_148,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 )
<= ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl26777,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1555,zip_derived_cl1726]) ).
thf(zip_derived_cl258_149,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl29450,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26777,zip_derived_cl258]) ).
thf(zip_derived_cl203_150,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('110',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29450,zip_derived_cl203]) ).
thf(zip_derived_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('111',plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('112',plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('sat_resolution*',[status(thm)],['109','14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','80','81','82','83','84','85','12','110','111']) ).
thf(zip_derived_cl33405,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1551,'112']) ).
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_cl1359,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl17117,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_cl1044]) ).
thf(zip_derived_cl22601_151,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl22596_152,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42796,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17117,zip_derived_cl22601,zip_derived_cl22596]) ).
thf(zip_derived_cl42798,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl42796]) ).
thf(zip_derived_cl275_153,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42800,plain,
( ( e23
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42798,zip_derived_cl275]) ).
thf(zip_derived_cl47895,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33405,zip_derived_cl42800]) ).
thf('113',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47895]) ).
thf(zip_derived_cl1354,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
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_cl1350,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23118,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl114]) ).
thf(zip_derived_cl26417,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1354,zip_derived_cl23118]) ).
thf('114',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26417]) ).
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_cl36,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('115',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ 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_cl1309,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22509_154,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22704,plain,
( ( e10 = e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1309,zip_derived_cl22509]) ).
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('116',plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22704,zip_derived_cl197]) ).
thf(zip_derived_cl1537_155,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('117',plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference('sat_resolution*',[status(thm)],['14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','81','82','83','84','85','12','13','80']) ).
thf(zip_derived_cl33403,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1537,'117']) ).
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_cl1345,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl17120,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_cl1044]) ).
thf(zip_derived_cl22596_156,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl22601_157,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42810,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17120,zip_derived_cl22596,zip_derived_cl22601]) ).
thf(zip_derived_cl42812,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl42810]) ).
thf(zip_derived_cl22596_158,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42816,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42812,zip_derived_cl22596]) ).
thf(zip_derived_cl47872,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33403,zip_derived_cl42816]) ).
thf('118',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47872]) ).
thf(zip_derived_cl27551_159,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27541,zip_derived_cl1721]) ).
thf('119',plain,
( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
= e23 ),
inference('sat_resolution*',[status(thm)],['14','15','16','17','18','19','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','80','81','82','83','84','85','20']) ).
thf(zip_derived_cl33450,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl27551,'119']) ).
thf(zip_derived_cl26933_160,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl22503,zip_derived_cl22509]) ).
thf(ax10,axiom,
( ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
= e13 ) ) ) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1685,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf(zip_derived_cl26942,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1685]) ).
thf(zip_derived_cl17126,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_cl1044]) ).
thf(zip_derived_cl27548_161,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl27548_162,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42858,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17126,zip_derived_cl27548,zip_derived_cl27548]) ).
thf(zip_derived_cl42868,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26942,zip_derived_cl42858]) ).
thf(zip_derived_cl275_163,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42878,plain,
( ( e23
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42868,zip_derived_cl275]) ).
thf(zip_derived_cl47968,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33450,zip_derived_cl42878]) ).
thf('120',plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47968]) ).
thf(zip_derived_cl26942_164,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1685]) ).
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_cl1322,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl33195,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26942,zip_derived_cl1322]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('121',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33195,zip_derived_cl192]) ).
thf(zip_derived_cl1534,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1538,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1537_165,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl24661,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl1537]) ).
thf(zip_derived_cl200_166,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('122',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24661,zip_derived_cl200]) ).
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('123',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf('124',plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference('sat_resolution*',[status(thm)],['89','14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','81','82','83','84','85','12','13','80','122','123']) ).
thf(zip_derived_cl33402,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1534,'124']) ).
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_cl1342,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl17121,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_cl1044]) ).
thf(zip_derived_cl22596_167,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl22596_168,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl42819,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17121,zip_derived_cl22596,zip_derived_cl22596]) ).
thf(zip_derived_cl42821,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl42819]) ).
thf(zip_derived_cl27548_169,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42826,plain,
( ( e22
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42821,zip_derived_cl27548]) ).
thf(zip_derived_cl47843,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33402,zip_derived_cl42826]) ).
thf('125',plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47843]) ).
thf(zip_derived_cl1346,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1353_170,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1686,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl26380,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl1686]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl28459,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26380,zip_derived_cl113]) ).
thf(zip_derived_cl28541,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1346,zip_derived_cl28459]) ).
thf('126',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28541]) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('127',plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1345_171,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1341,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113_172,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23045,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1341,zip_derived_cl113]) ).
thf(zip_derived_cl26298,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl23045]) ).
thf('128',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26298]) ).
thf(zip_derived_cl1359_173,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1357,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23209,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1359,zip_derived_cl1357]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('129',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23209,zip_derived_cl193]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('130',plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1327,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1326,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl22912,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl1326]) ).
thf(zip_derived_cl192_174,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('131',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22912,zip_derived_cl192]) ).
thf(zip_derived_cl1552_175,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1554,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1542_176,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl165_177,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24728,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl165]) ).
thf(zip_derived_cl27528,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl24728]) ).
thf(zip_derived_cl27531,plain,
( $false
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27528]) ).
thf('132',plain,
( ( op2 @ e20 @ e23 )
= e22 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9']) ).
thf('133',plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl27531,'132']) ).
thf('134',plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf('135',plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference('sat_resolution*',[status(thm)],['133','110','14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','7','77','78','79','80','81','82','83','84','85','12','13','134']) ).
thf(zip_derived_cl33406,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1552,'135']) ).
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_cl1360,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl17116,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_cl1044]) ).
thf(zip_derived_cl22601_178,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl22601_179,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42783,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17116,zip_derived_cl22601,zip_derived_cl22601]) ).
thf(zip_derived_cl42784,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_cl1360,zip_derived_cl42783]) ).
thf(zip_derived_cl22601_180,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42790,plain,
( ( e20
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42784,zip_derived_cl22601]) ).
thf(zip_derived_cl47909,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33406,zip_derived_cl42790]) ).
thf('136',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47909]) ).
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_cl1316,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl228,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1701,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl26526,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1316,zip_derived_cl1701]) ).
thf(zip_derived_cl1360_181,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl28959,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26526,zip_derived_cl1360]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('137',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28959,zip_derived_cl195]) ).
thf(zip_derived_cl1508_182,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf('138',plain,
( ( op2 @ e22 @ e23 )
= e20 ),
inference('sat_resolution*',[status(thm)],['19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','85','65','66','67','68','69','70','71','72','73','74','75','76','7','84','77','78','79','80','81']) ).
thf(zip_derived_cl33397,plain,
( ( op2 @ e22 @ e23 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1508,'138']) ).
thf(zip_derived_cl1316_183,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl17127,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_cl1044]) ).
thf(zip_derived_cl27548_184,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl275_185,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42879,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17127,zip_derived_cl27548,zip_derived_cl275]) ).
thf(zip_derived_cl42880,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_cl1316,zip_derived_cl42879]) ).
thf(zip_derived_cl22601_186,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42882,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42880,zip_derived_cl22601]) ).
thf(zip_derived_cl47760,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33397,zip_derived_cl42882]) ).
thf('139',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47760]) ).
thf(zip_derived_cl1527_187,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('140',plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference('sat_resolution*',[status(thm)],['19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','85','65','66','67','68','69','70','71','72','73','74','75','76','7','84','77','78','79','80','81','14','15']) ).
thf(zip_derived_cl33400,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1527,'140']) ).
thf(zip_derived_cl1335_188,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl17123,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_cl1044]) ).
thf(zip_derived_cl22596_189,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl275_190,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42837,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17123,zip_derived_cl22596,zip_derived_cl275]) ).
thf(zip_derived_cl42839,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1335,zip_derived_cl42837]) ).
thf(zip_derived_cl275_191,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42841,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42839,zip_derived_cl275]) ).
thf(zip_derived_cl47809,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33400,zip_derived_cl42841]) ).
thf('141',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47809]) ).
thf(zip_derived_cl18,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('142',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('143',plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
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_cl1300,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl255_192,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22609,plain,
( ( e11 = e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1300,zip_derived_cl255]) ).
thf(zip_derived_cl197_193,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('144',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22609,zip_derived_cl197]) ).
thf(zip_derived_cl1335_194,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1334,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl22990,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1335,zip_derived_cl1334]) ).
thf(zip_derived_cl192_195,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('145',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22990,zip_derived_cl192]) ).
thf(zip_derived_cl1335_196,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1332,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl22988,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1335,zip_derived_cl1332]) ).
thf(zip_derived_cl195_197,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('146',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22988,zip_derived_cl195]) ).
thf(zip_derived_cl1350_198,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1348,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23121,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1350,zip_derived_cl1348]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('147',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23121,zip_derived_cl196]) ).
thf(zip_derived_cl1528_199,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf('148',plain,
( ( op2 @ e21 @ e22 )
= e20 ),
inference('sat_resolution*',[status(thm)],['14','15','16','17','18','19','20','21','22','23','24','25','26','27','87','28','29','86','30','31','91','32','33','34','35','36','37','38','39','40','41','43','44','45','46','47','48','49','50','6','8','9','51','52','53','54','55','56','57','58','59','60','88','61','62','63','64','65','66','67','68','69','70','73','74','75','76','7','77','78','79','80','81','82','83','84','85','71','72','42']) ).
thf(zip_derived_cl33401,plain,
( ( op2 @ e21 @ e22 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1528,'148']) ).
thf(zip_derived_cl1336,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl17122,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_cl1044]) ).
thf(zip_derived_cl22596_200,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl258]) ).
thf(zip_derived_cl27548_201,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl27541]) ).
thf(zip_derived_cl42830,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17122,zip_derived_cl22596,zip_derived_cl27548]) ).
thf(zip_derived_cl42831,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl42830]) ).
thf(zip_derived_cl22601_202,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl258,zip_derived_cl22524]) ).
thf(zip_derived_cl42834,plain,
( ( e20
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42831,zip_derived_cl22601]) ).
thf(zip_derived_cl47826,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33401,zip_derived_cl42834]) ).
thf('149',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47826]) ).
thf(zip_derived_cl1352,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1336_203,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23001,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl131]) ).
thf(zip_derived_cl26237,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl23001]) ).
thf('150',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26237]) ).
thf(zip_derived_cl1084,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_0]) ).
thf('151',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1084]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('152',plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl1315_204,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1313,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22761,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1315,zip_derived_cl1313]) ).
thf(zip_derived_cl193_205,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('153',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22761,zip_derived_cl193]) ).
thf(zip_derived_cl1314,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1313_206,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22751,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1313]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('154',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22751,zip_derived_cl194]) ).
thf(zip_derived_cl1361,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1360_207,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23222,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1361,zip_derived_cl1360]) ).
thf(zip_derived_cl197_208,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('155',plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23222,zip_derived_cl197]) ).
thf(zip_derived_cl1330_209,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1329,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl22932,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1329]) ).
thf(zip_derived_cl194_210,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('156',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22932,zip_derived_cl194]) ).
thf(zip_derived_cl47,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('157',plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('158',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1350_211,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1318,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22804,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1318,zip_derived_cl124]) ).
thf(zip_derived_cl25938,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl22804]) ).
thf('159',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25938]) ).
thf(zip_derived_cl1352_212,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1320,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22833,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1320,zip_derived_cl130]) ).
thf(zip_derived_cl25982,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl22833]) ).
thf('160',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25982]) ).
thf(zip_derived_cl1322_213,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1320_214,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl22860,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1322,zip_derived_cl1320]) ).
thf(zip_derived_cl196_215,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('161',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22860,zip_derived_cl196]) ).
thf(zip_derived_cl1317,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl255_216,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22500,plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl255]) ).
thf(zip_derived_cl26437,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1317,zip_derived_cl22500]) ).
thf('162',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26437]) ).
thf(zip_derived_cl1325_217,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1704,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl26573,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl1704]) ).
thf(zip_derived_cl1325_218,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
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_cl22894,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1325,zip_derived_cl134]) ).
thf('163',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26573,zip_derived_cl22894]) ).
thf(zip_derived_cl1329_219,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1706,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 )
<= ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl26592,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1329,zip_derived_cl1706]) ).
thf(zip_derived_cl133,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22509_220,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22513,plain,
( ( op1 @ e11 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl22509]) ).
thf('164',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26592,zip_derived_cl22513]) ).
thf('165',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf('166',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
= e10 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf('167',plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
| ~ zip_tseitin_0 ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl1352_221,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1686_222,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl26379,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1352,zip_derived_cl1686]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl26933_223,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl22503,zip_derived_cl22509]) ).
thf(zip_derived_cl26936,plain,
( ( op1 @ e10 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl26933]) ).
thf('168',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26379,zip_derived_cl26936]) ).
thf(zip_derived_cl1323,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1321,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl22874,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1323,zip_derived_cl1321]) ).
thf(zip_derived_cl193_224,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('169',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22874,zip_derived_cl193]) ).
thf(zip_derived_cl1322_225,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1321_226,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl22861,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1322,zip_derived_cl1321]) ).
thf(zip_derived_cl194_227,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('170',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22861,zip_derived_cl194]) ).
thf(zip_derived_cl1321_228,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1320_229,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl22847,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1321,zip_derived_cl1320]) ).
thf(zip_derived_cl197_230,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('171',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22847,zip_derived_cl197]) ).
thf(zip_derived_cl19,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('172',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1302,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl255_231,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22620,plain,
( ( e11 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1302,zip_derived_cl255]) ).
thf(zip_derived_cl194_232,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('173',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22620,zip_derived_cl194]) ).
thf(zip_derived_cl1315_233,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1314_234,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl22762,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1315,zip_derived_cl1314]) ).
thf(zip_derived_cl192_235,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('174',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22762,zip_derived_cl192]) ).
thf(zip_derived_cl1355,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1352_236,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23175,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1355,zip_derived_cl1352]) ).
thf(zip_derived_cl195_237,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('175',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23175,zip_derived_cl195]) ).
thf(zip_derived_cl17,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('176',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1311,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22509_238,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22722,plain,
( ( e10 = e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl22509]) ).
thf(zip_derived_cl195_239,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('177',plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22722,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('178',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
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('179',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('180',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1307,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1306_240,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22688,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1306]) ).
thf(zip_derived_cl192_241,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('181',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22688,zip_derived_cl192]) ).
thf(zip_derived_cl1307_242,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1304,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22686,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1304]) ).
thf(zip_derived_cl195_243,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('182',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22686,zip_derived_cl195]) ).
thf(zip_derived_cl1354_244,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1352_245,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23161,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1354,zip_derived_cl1352]) ).
thf(zip_derived_cl196_246,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('183',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23161,zip_derived_cl196]) ).
thf(zip_derived_cl1339_247,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1337,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23032,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1339,zip_derived_cl1337]) ).
thf(zip_derived_cl193_248,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('184',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23032,zip_derived_cl193]) ).
thf(zip_derived_cl1338,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1337_249,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23019,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1338,zip_derived_cl1337]) ).
thf(zip_derived_cl194_250,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('185',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23019,zip_derived_cl194]) ).
thf(zip_derived_cl1306_251,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1304_252,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl22671,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1306,zip_derived_cl1304]) ).
thf(zip_derived_cl196_253,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('186',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22671,zip_derived_cl196]) ).
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('187',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(zf_stmt_12,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('188',plain,
( ~ zip_tseitin_1
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl1337_254,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl1694,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26464,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1337,zip_derived_cl1694]) ).
thf(zip_derived_cl1696,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl28690,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26464,zip_derived_cl1696]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl28739,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28690,zip_derived_cl128]) ).
thf(zip_derived_cl1337_255,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl28751,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28739,zip_derived_cl1337]) ).
thf('189',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28751]) ).
thf(zip_derived_cl1342_256,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1326_257,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134_258,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22900,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1326,zip_derived_cl134]) ).
thf(zip_derived_cl26084,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl22900]) ).
thf('190',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26084]) ).
thf('191',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl26464_259,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1337,zip_derived_cl1694]) ).
thf(zip_derived_cl1343,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl28689,plain,
( ( e12 = e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26464,zip_derived_cl1343]) ).
thf(zip_derived_cl192_260,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('192',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28689,zip_derived_cl192]) ).
thf(zip_derived_cl1307_261,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl1710,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl26634,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1710]) ).
thf(zip_derived_cl255_262,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26638,plain,
( ( e11 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26634,zip_derived_cl255]) ).
thf(zip_derived_cl194_263,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('193',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26638,zip_derived_cl194]) ).
thf(zip_derived_cl1306_264,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1710_265,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl26633,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1306,zip_derived_cl1710]) ).
thf(zip_derived_cl1306_266,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22668,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl126]) ).
thf('194',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26633,zip_derived_cl22668]) ).
thf('195',plain,
( ~ zip_tseitin_3
| ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl222,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('196',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 )
| ~ zip_tseitin_0 ),
inference(split,[status(esa)],[zip_derived_cl222]) ).
thf(zip_derived_cl1319,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1701_267,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl26528,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1701]) ).
thf(zip_derived_cl255_268,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26532,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26528,zip_derived_cl255]) ).
thf(zip_derived_cl193_269,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('197',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26532,zip_derived_cl193]) ).
thf(zip_derived_cl1357_270,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1688,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl222]) ).
thf(zip_derived_cl26393,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1357,zip_derived_cl1688]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl28555,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26393,zip_derived_cl137]) ).
thf(zip_derived_cl1357_271,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl28576,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28555,zip_derived_cl1357]) ).
thf('198',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28576]) ).
thf(zip_derived_cl1347,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1346_272,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23094,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1347,zip_derived_cl1346]) ).
thf(zip_derived_cl192_273,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('199',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23094,zip_derived_cl192]) ).
thf(zip_derived_cl1346_274,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1345_275,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23081,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1346,zip_derived_cl1345]) ).
thf(zip_derived_cl194_276,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('200',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23081,zip_derived_cl194]) ).
thf(zip_derived_cl35,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('201',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
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('202',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('203',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1343_277,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1342_278,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23063,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1343,zip_derived_cl1342]) ).
thf(zip_derived_cl192_279,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('204',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23063,zip_derived_cl192]) ).
thf(zip_derived_cl1342_280,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1341_281,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23053,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1342,zip_derived_cl1341]) ).
thf(zip_derived_cl194_282,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('205',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23053,zip_derived_cl194]) ).
thf(zip_derived_cl1347_283,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1345_284,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23093,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1347,zip_derived_cl1345]) ).
thf(zip_derived_cl193_285,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('206',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23093,zip_derived_cl193]) ).
thf(zip_derived_cl1339_286,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1336_287,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23031,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1339,zip_derived_cl1336]) ).
thf(zip_derived_cl195_288,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('207',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23031,zip_derived_cl195]) ).
thf(zip_derived_cl1338_289,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1336_290,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23018,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1338,zip_derived_cl1336]) ).
thf(zip_derived_cl196_291,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('208',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23018,zip_derived_cl196]) ).
thf(zip_derived_cl1337_292,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1336_293,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23009,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1337,zip_derived_cl1336]) ).
thf(zip_derived_cl197_294,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('209',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23009,zip_derived_cl197]) ).
thf(zip_derived_cl1343_295,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1341_296,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23062,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1343,zip_derived_cl1341]) ).
thf(zip_derived_cl193_297,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('210',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23062,zip_derived_cl193]) ).
thf(zip_derived_cl1350_298,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1334_299,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl125,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22975,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1334,zip_derived_cl125]) ).
thf(zip_derived_cl26204,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl22975]) ).
thf('211',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26204]) ).
thf(zip_derived_cl1333,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl255_300,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22501,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl255]) ).
thf(zip_derived_cl26459,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1333,zip_derived_cl22501]) ).
thf('212',plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26459]) ).
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('213',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1303,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl255_301,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22633,plain,
( ( e11 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1303,zip_derived_cl255]) ).
thf(zip_derived_cl193_302,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('214',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22633,zip_derived_cl193]) ).
thf('215',plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1356,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22509_303,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22514,plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl22509]) ).
thf(zip_derived_cl26586,plain,
( ( e10 != e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl22514]) ).
thf('216',plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl26586]) ).
thf(zip_derived_cl1343_304,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1339_305,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
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_cl23028,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1339,zip_derived_cl110]) ).
thf(zip_derived_cl26275,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1343,zip_derived_cl23028]) ).
thf('217',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26275]) ).
thf(zip_derived_cl1343_306,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1335_307,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl109,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22985,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1335,zip_derived_cl109]) ).
thf(zip_derived_cl26215,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1343,zip_derived_cl22985]) ).
thf('218',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26215]) ).
thf(zip_derived_cl1359_308,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1343_309,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137_310,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23060,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1343,zip_derived_cl137]) ).
thf(zip_derived_cl26325,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl23060]) ).
thf('219',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26325]) ).
thf(zip_derived_cl1340,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl22513_311,plain,
( ( op1 @ e11 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl22509]) ).
thf(zip_derived_cl26568,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1340,zip_derived_cl22513]) ).
thf('220',plain,
( ( op1 @ e11 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl26568]) ).
thf(zip_derived_cl1345_312,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1337_313,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_cl23007,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1337,zip_derived_cl112]) ).
thf(zip_derived_cl26248,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl23007]) ).
thf('221',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26248]) ).
thf(zip_derived_cl1341_314,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1337_315,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110_316,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23006,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1337,zip_derived_cl110]) ).
thf(zip_derived_cl26243,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1341,zip_derived_cl23006]) ).
thf('222',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26243]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('223',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1338_317,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1694_318,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26465,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1338,zip_derived_cl1694]) ).
thf(zip_derived_cl128_319,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl28778,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26465,zip_derived_cl128]) ).
thf(zip_derived_cl1338_320,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl28790,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28778,zip_derived_cl1338]) ).
thf('224',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28790]) ).
thf(zip_derived_cl1336_321,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1694_322,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26463,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1336,zip_derived_cl1694]) ).
thf(zip_derived_cl26936_323,plain,
( ( op1 @ e10 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl26933]) ).
thf('225',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26463,zip_derived_cl26936]) ).
thf(zip_derived_cl1339_324,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1694_325,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26466,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1339,zip_derived_cl1694]) ).
thf(zip_derived_cl255_326,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26471,plain,
( ( e11 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26466,zip_derived_cl255]) ).
thf(zip_derived_cl194_327,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('226',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26471,zip_derived_cl194]) ).
thf('227',plain,
( ~ zip_tseitin_1
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl26942_328,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1685]) ).
thf(zip_derived_cl1307_329,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126_330,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22683,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1307,zip_derived_cl126]) ).
thf(zip_derived_cl33199,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26942,zip_derived_cl22683]) ).
thf('228',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33199]) ).
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('229',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1310,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl22509_331,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22714,plain,
( ( e10 = e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1310,zip_derived_cl22509]) ).
thf(zip_derived_cl196_332,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('230',plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22714,zip_derived_cl196]) ).
thf(zip_derived_cl1349,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl255_333,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22502,plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl255]) ).
thf(zip_derived_cl26481,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1349,zip_derived_cl22502]) ).
thf('231',plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26481]) ).
thf(zip_derived_cl26933_334,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl22503,zip_derived_cl22509]) ).
thf(zip_derived_cl1348_335,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl26940,plain,
( ( e12 = e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1348]) ).
thf(zip_derived_cl196_336,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('232',plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26940,zip_derived_cl196]) ).
thf(zip_derived_cl26933_337,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl22503,zip_derived_cl22509]) ).
thf(zip_derived_cl1351,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl26941,plain,
( ( e12 = e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1351]) ).
thf(zip_derived_cl192_338,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('233',plain,
( ( op1 @ e10 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26941,zip_derived_cl192]) ).
thf('234',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1358,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1350_339,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23119,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl115]) ).
thf(zip_derived_cl26433,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1358,zip_derived_cl23119]) ).
thf('235',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26433]) ).
thf('236',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1304_340,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22509_341,plain,
( e10
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).
thf(zip_derived_cl22510,plain,
( e10
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl22509]) ).
thf(zip_derived_cl26498,plain,
( ( e10 != e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl22510]) ).
thf('237',plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl26498]) ).
thf(zip_derived_cl1305,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl255_342,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl22497,plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl255]) ).
thf(zip_derived_cl26375,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl22497]) ).
thf('238',plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26375]) ).
thf(zip_derived_cl1342_343,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1338_344,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110_345,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23015,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1338,zip_derived_cl110]) ).
thf(zip_derived_cl26259,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl23015]) ).
thf('239',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26259]) ).
thf(zip_derived_cl1338_346,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1306_347,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22669,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl127]) ).
thf(zip_derived_cl25790,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1338,zip_derived_cl22669]) ).
thf('240',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25790]) ).
thf(zip_derived_cl1326_348,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1704_349,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl26574,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl1704]) ).
thf(zip_derived_cl1702,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl29093,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26574,zip_derived_cl1702]) ).
thf(zip_derived_cl22900_350,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1326,zip_derived_cl134]) ).
thf('241',plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
!= e12 )
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29093,zip_derived_cl22900]) ).
thf('242',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1339_351,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl26942_352,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26933,zip_derived_cl1685]) ).
thf(zip_derived_cl128_353,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl33191,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26942,zip_derived_cl128]) ).
thf(zip_derived_cl33248,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1339,zip_derived_cl33191]) ).
thf('243',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33248]) ).
thf('244',plain,
( ~ zip_tseitin_0
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf(zf_stmt_14,type,
zip_tseitin_3: $o ).
thf(zf_stmt_15,type,
zip_tseitin_2: $o ).
thf(zf_stmt_16,type,
zip_tseitin_1: $o ).
thf(zf_stmt_17,type,
zip_tseitin_0: $o ).
thf(zf_stmt_18,axiom,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl236,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('245',plain,
( zip_tseitin_2
| zip_tseitin_0
| zip_tseitin_3
| zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf('246',plain,
( ~ zip_tseitin_2
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl48179,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','97','99','101','106','108','113','114','115','116','118','120','121','125','126','127','128','129','130','131','136','137','139','141','142','143','144','145','146','147','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Wb3MiAzqhr true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 03:29:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 29.71/4.97 % Solved by fo/fo1_av.sh.
% 29.71/4.97 % done 25438 iterations in 4.155s
% 29.71/4.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.71/4.97 % SZS output start Refutation
% See solution above
% 30.64/4.98
% 30.64/4.98
% 30.64/4.98 % Terminating...
% 30.97/5.05 % Runner terminated.
% 30.97/5.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------