TSTP Solution File: ALG106+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG106+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.94vakFrcIZ true
% Computer : n028.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 17:10:50 EDT 2023
% Result : Theorem 32.82s 5.33s
% Output : Refutation 32.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 126
% Syntax : Number of formulae : 1730 ( 365 unt; 78 typ; 0 def)
% Number of atoms : 4846 (4552 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 15443 (1538 ~;1504 |; 914 &;10711 @)
% ( 0 <=>; 32 =>; 744 <=; 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 : 48 ( 46 usr; 41 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e23_type,type,
e23: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl59,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1704,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1672,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(ax6,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24708,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl187]) ).
thf(zip_derived_cl27843,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl24708]) ).
thf('0',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27843]) ).
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_cl1692,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
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_cl1676,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24743,plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl170]) ).
thf(zip_derived_cl27930,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1692,zip_derived_cl24743]) ).
thf('1',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27930]) ).
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_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('2',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
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_cl1667,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(ax11,axiom,
( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) )
& ( ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 ) )
& ( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) )
& ( ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_31: $o ).
thf(zf_stmt_1,axiom,
( zip_tseitin_31
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_30: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_30
=> ( ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_29: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_29
=> ( ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_28: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_28
=> ( ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_27: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_27
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_26: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_26
=> ( ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_25: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_25
=> ( ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_24: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_24
=> ( ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_23: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_23
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_22: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_22
=> ( ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_21: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_21
=> ( ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_20: $o ).
thf(zf_stmt_23,axiom,
( zip_tseitin_20
=> ( ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_19: $o ).
thf(zf_stmt_25,axiom,
( zip_tseitin_19
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_18: $o ).
thf(zf_stmt_27,axiom,
( zip_tseitin_18
=> ( ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_17: $o ).
thf(zf_stmt_29,axiom,
( zip_tseitin_17
=> ( ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_30,type,
zip_tseitin_16: $o ).
thf(zf_stmt_31,axiom,
( zip_tseitin_16
=> ( ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_32,axiom,
( ( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20
| zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 )
& ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
= e20 ) )
& ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) )
& ( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 ) )
& ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl419,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2291,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27585,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl2291]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( e21
= ( op2 @ e23 @ e23 ) )
& ( e20
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ) ) ).
thf(zip_derived_cl426,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27588,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27585,zip_derived_cl426]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('3',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27588,zip_derived_cl199]) ).
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('4',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2290,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27559,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1681,zip_derived_cl2290]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl425,plain,
( e22
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl426_001,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23088,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27770,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23088]) ).
thf('5',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27559,zip_derived_cl27770]) ).
thf(zip_derived_cl1707,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1704_002,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25100,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1707,zip_derived_cl1704]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('6',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25100,zip_derived_cl201]) ).
thf(zip_derived_cl58,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1703,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1701,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25050,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl1701]) ).
thf(zip_derived_cl199_003,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('7',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25050,zip_derived_cl199]) ).
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_cl1711,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1695,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
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_cl24943,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl173]) ).
thf(zip_derived_cl28219,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl24943]) ).
thf('8',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28219]) ).
thf(zip_derived_cl395,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('9',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl1680,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1676_004,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_cl24740,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl150]) ).
thf(zip_derived_cl27895,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl24740]) ).
thf('10',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27895]) ).
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_cl1715,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25237,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1712]) ).
thf(zip_derived_cl201_005,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('11',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25237,zip_derived_cl201]) ).
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('12',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_cl1714,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712_006,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25221,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl1712]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('13',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25221,zip_derived_cl202]) ).
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_cl1699,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1697,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24992,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1699,zip_derived_cl1697]) ).
thf(zip_derived_cl199_007,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('14',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24992,zip_derived_cl199]) ).
thf(zip_derived_cl1697_008,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1696,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24967,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl1696]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('15',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24967,zip_derived_cl203]) ).
thf(ax10,axiom,
( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 ) )
& ( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 ) )
& ( ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 ) )
& ( ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) ) ).
thf(zf_stmt_33,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl271,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('16',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
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_34,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_cl1252,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_34]) ).
thf('17',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1252]) ).
thf(zip_derived_cl1212,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_34]) ).
thf(zip_derived_cl17678,plain,
( ( ( h4 @ e10 )
!= e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(ax17,axiom,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) )
& ( ( h4 @ e13 )
= e23 ) ) ).
thf(zip_derived_cl442,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_009,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427,plain,
( e20
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl426_010,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23093,plain,
( e20
= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl426]) ).
thf(zip_derived_cl23152,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl25075,plain,
( ( e20 != e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17678,zip_derived_cl23152]) ).
thf('18',plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl25075]) ).
thf(zip_derived_cl17677,plain,
( ( ( h4 @ e13 )
!= e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl443,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl25073,plain,
( ( e23 != e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17677,zip_derived_cl443]) ).
thf('19',plain,
( ( h4 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl25073]) ).
thf(zip_derived_cl50,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1670,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1244,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_34]) ).
thf(zip_derived_cl18319,plain,
( ( ( h4 @ e12 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1244]) ).
thf(zip_derived_cl440,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_011,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23139,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl426]) ).
thf(zip_derived_cl25345,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18319,zip_derived_cl23139]) ).
thf(zip_derived_cl25347,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl25345]) ).
thf('20',plain,
( ( ( h4 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25347]) ).
thf(zip_derived_cl1220,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_34]) ).
thf(zip_derived_cl17839,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1220]) ).
thf(zip_derived_cl441,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_012,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23144,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl25146,plain,
( ( e21 != e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl17839,zip_derived_cl23144]) ).
thf('21',plain,
( ( h4 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl25146]) ).
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_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_cl1498,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
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_cl1524,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
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_cl1530,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zf_stmt_35,type,
zip_tseitin_15: $o ).
thf(zf_stmt_36,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_37,type,
zip_tseitin_14: $o ).
thf(zf_stmt_38,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_39,type,
zip_tseitin_13: $o ).
thf(zf_stmt_40,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_41,type,
zip_tseitin_12: $o ).
thf(zf_stmt_42,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_43,type,
zip_tseitin_11: $o ).
thf(zf_stmt_44,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_45,type,
zip_tseitin_10: $o ).
thf(zf_stmt_46,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_47,type,
zip_tseitin_9: $o ).
thf(zf_stmt_48,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_49,type,
zip_tseitin_8: $o ).
thf(zf_stmt_50,type,
zip_tseitin_7: $o ).
thf(zf_stmt_51,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_52,type,
zip_tseitin_6: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_54,type,
zip_tseitin_5: $o ).
thf(zf_stmt_55,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_56,type,
zip_tseitin_4: $o ).
thf(zf_stmt_57,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_3: $o ).
thf(zf_stmt_59,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_60,type,
zip_tseitin_2: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_1: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_64,type,
zip_tseitin_0: $o ).
thf(zf_stmt_65,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_66,axiom,
( ( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 )
& ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
= e10 ) )
& ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 ) )
& ( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ) )
& ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl320,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl2072,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl27170,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl2072]) ).
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_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl30417,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27170,zip_derived_cl116]) ).
thf(zip_derived_cl30531,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl30417]) ).
thf('22',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30531]) ).
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_cl1512,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2073,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl27192,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl2073]) ).
thf(zip_derived_cl1512_013,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl27196,plain,
( ( e10 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27192,zip_derived_cl1512]) ).
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('23',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27196,zip_derived_cl197]) ).
thf('24',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
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_cl1492,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl1484,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23321,plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl103]) ).
thf(zip_derived_cl26833,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl23321]) ).
thf('25',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26833]) ).
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_cl1483,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2075,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl27247,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl2075]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) )
& ( e11
= ( op1 @ e13 @ e13 ) )
& ( e10
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ e13 ) ) ) ).
thf(zip_derived_cl423,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl27250,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27247,zip_derived_cl423]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('26',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27250,zip_derived_cl193]) ).
thf(zip_derived_cl1531,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1483_014,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23307,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl141]) ).
thf(zip_derived_cl26824,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl23307]) ).
thf('27',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26824]) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('28',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zip_derived_cl1529,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1497,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23483,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl142]) ).
thf(zip_derived_cl27159,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23483]) ).
thf('29',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27159]) ).
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_cl25,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('30',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1495,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_015,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23460,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1492]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('31',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23460,zip_derived_cl195]) ).
thf(zip_derived_cl1494,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_016,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23449,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1494,zip_derived_cl1492]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('32',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23449,zip_derived_cl196]) ).
thf(zip_derived_cl1494_017,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1493,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23450,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1494,zip_derived_cl1493]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('33',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23450,zip_derived_cl194]) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('34',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl1499,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1497_018,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23507,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1497]) ).
thf(zip_derived_cl193_019,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('35',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23507,zip_derived_cl193]) ).
thf(zip_derived_cl1498_020,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1497_021,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23495,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl1497]) ).
thf(zip_derived_cl194_022,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('36',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23495,zip_derived_cl194]) ).
thf(zip_derived_cl1497_023,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23484,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl1496]) ).
thf(zip_derived_cl197_024,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('37',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23484,zip_derived_cl197]) ).
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_cl1491,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1490,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23409,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl1490]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('38',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23409,zip_derived_cl192]) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1478,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
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_cl1474,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
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_cl23202,plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl98]) ).
thf(zip_derived_cl26638,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl23202]) ).
thf('39',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26638]) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('40',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl308,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('41',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl308]) ).
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_cl1516,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1484_025,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
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_cl23324,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl124]) ).
thf(zip_derived_cl26848,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl23324]) ).
thf('42',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26848]) ).
thf(zip_derived_cl1497_026,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2074,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl27219,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl2074]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl422,plain,
( e12
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl423_027,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23067,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27636,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl23067]) ).
thf('43',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27219,zip_derived_cl27636]) ).
thf('44',plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl1485,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_cl423_028,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23064,plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl423]) ).
thf(zip_derived_cl27485,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl23064]) ).
thf('45',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27485]) ).
thf(zip_derived_cl424,plain,
( e10
= ( op1 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl423_029,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23074,plain,
( e10
= ( op1 @ ( op1 @ e13 @ e11 ) @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl424,zip_derived_cl423]) ).
thf(zip_derived_cl23067_030,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27640,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl23074,zip_derived_cl23067]) ).
thf(zip_derived_cl1487,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl27907,plain,
( ( e10 = e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27640,zip_derived_cl1487]) ).
thf(zip_derived_cl195_031,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('46',plain,
( ( op1 @ e12 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27907,zip_derived_cl195]) ).
thf('47',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1496_032,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1484_033,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23322,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl105]) ).
thf(zip_derived_cl26838,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl23322]) ).
thf('48',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26838]) ).
thf(zip_derived_cl236,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('49',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
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('50',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1477,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_034,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23062,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl423]) ).
thf(zip_derived_cl27461,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1477,zip_derived_cl23062]) ).
thf('51',plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27461]) ).
thf(zip_derived_cl23067_035,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl1476,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27641,plain,
( ( e12 = e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23067,zip_derived_cl1476]) ).
thf(zip_derived_cl196_036,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('52',plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27641,zip_derived_cl196]) ).
thf(zip_derived_cl23067_037,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl1479,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27642,plain,
( ( e12 = e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23067,zip_derived_cl1479]) ).
thf(zip_derived_cl192_038,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('53',plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27642,zip_derived_cl192]) ).
thf('54',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1494_039,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1478_040,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132_041,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23250,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl132]) ).
thf(zip_derived_cl26733,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl23250]) ).
thf('55',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26733]) ).
thf(zip_derived_cl27640_042,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl23074,zip_derived_cl23067]) ).
thf(zip_derived_cl1486,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl27906,plain,
( ( e10 = e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27640,zip_derived_cl1486]) ).
thf(zip_derived_cl196_043,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('56',plain,
( ( op1 @ e12 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27906,zip_derived_cl196]) ).
thf(zip_derived_cl273,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('57',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
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('58',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
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_cl1503,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1500,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23555,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1500]) ).
thf(zip_derived_cl195_044,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('59',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23555,zip_derived_cl195]) ).
thf(zip_derived_cl1487_045,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1485_046,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23364,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl1485]) ).
thf(zip_derived_cl193_047,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('60',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23364,zip_derived_cl193]) ).
thf(zip_derived_cl1486_048,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1485_049,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23351,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl1485]) ).
thf(zip_derived_cl194_050,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('61',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23351,zip_derived_cl194]) ).
thf(zip_derived_cl31,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('62',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1490_051,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1488,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23396,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl1488]) ).
thf(zip_derived_cl196_052,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('63',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23396,zip_derived_cl196]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('64',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
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('65',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_cl242,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('66',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl1482,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1480,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23298,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1482,zip_derived_cl1480]) ).
thf(zip_derived_cl196_053,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('67',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23298,zip_derived_cl196]) ).
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('68',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('69',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl1478_054,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_055,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23253,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl1476]) ).
thf(zip_derived_cl196_056,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('70',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23253,zip_derived_cl196]) ).
thf(zip_derived_cl1477_057,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_058,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23240,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl1476]) ).
thf(zip_derived_cl197_059,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('71',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23240,zip_derived_cl197]) ).
thf(zip_derived_cl1479_060,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_061,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23265,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl1476]) ).
thf(zip_derived_cl195_062,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('72',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23265,zip_derived_cl195]) ).
thf(zip_derived_cl1483_063,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1480_064,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23308,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1480]) ).
thf(zip_derived_cl195_065,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('73',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23308,zip_derived_cl195]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('74',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1525,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1524_066,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23771,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1524]) ).
thf(zip_derived_cl197_067,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('75',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23771,zip_derived_cl197]) ).
thf(zip_derived_cl246,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('76',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('77',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('78',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl1475,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1474_068,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23219,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl1474]) ).
thf(zip_derived_cl192_069,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('79',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23219,zip_derived_cl192]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('80',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
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('81',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1483_070,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1482_071,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23310,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1482]) ).
thf(zip_derived_cl192_072,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('82',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23310,zip_derived_cl192]) ).
thf(zip_derived_cl1483_073,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1481,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23309,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1481]) ).
thf(zip_derived_cl193_074,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('83',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23309,zip_derived_cl193]) ).
thf(zip_derived_cl297,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('84',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl1502,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23544,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl1501]) ).
thf(zip_derived_cl194_075,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('85',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23544,zip_derived_cl194]) ).
thf(zip_derived_cl1519,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516_076,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23720,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1516]) ).
thf(zip_derived_cl195_077,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('86',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23720,zip_derived_cl195]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('87',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('88',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('89',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('90',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('91',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('92',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('93',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('94',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('95',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
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_cl1468,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_078,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23158,plain,
( ( e11 = e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl423]) ).
thf(zip_derived_cl197_079,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('96',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23158,zip_derived_cl197]) ).
thf(zip_derived_cl1471,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_080,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23175,plain,
( ( e11 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1471,zip_derived_cl423]) ).
thf(zip_derived_cl193_081,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('97',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23175,zip_derived_cl193]) ).
thf('98',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl298,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('99',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl298]) ).
thf(zip_derived_cl314,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('100',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl314]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('101',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl296,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('102',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl243,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('103',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl1519_082,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23722,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1518]) ).
thf(zip_derived_cl192_083,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('104',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23722,zip_derived_cl192]) ).
thf(zip_derived_cl1518_084,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516_085,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23710,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl1516]) ).
thf(zip_derived_cl196_086,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('105',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23710,zip_derived_cl196]) ).
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('106',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1470,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_087,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23170,plain,
( ( e11 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1470,zip_derived_cl423]) ).
thf(zip_derived_cl194_088,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('107',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23170,zip_derived_cl194]) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('108',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl1503_089,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1502_090,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23557,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1502]) ).
thf(zip_derived_cl192_091,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('109',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23557,zip_derived_cl192]) ).
thf(zip_derived_cl1503_092,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501_093,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23556,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1501]) ).
thf(zip_derived_cl193_094,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('110',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23556,zip_derived_cl193]) ).
thf(zip_derived_cl316,plain,
( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('111',plain,
( zip_tseitin_8
| zip_tseitin_12
| zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_11
| zip_tseitin_5
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_3
| zip_tseitin_9
| zip_tseitin_10
| zip_tseitin_4
| zip_tseitin_2
| zip_tseitin_13
| zip_tseitin_14
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('112',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl1514,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512_095,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23676,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl1512]) ).
thf(zip_derived_cl196_096,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('113',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23676,zip_derived_cl196]) ).
thf(zip_derived_cl1513,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512_097,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23668,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl1512]) ).
thf(zip_derived_cl197_098,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('114',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23668,zip_derived_cl197]) ).
thf(zip_derived_cl1530_099,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1529_100,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23811,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1529]) ).
thf(zip_derived_cl194_101,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('115',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23811,zip_derived_cl194]) ).
thf(zip_derived_cl1493_102,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_103,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23438,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl1492]) ).
thf(zip_derived_cl197_104,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('116',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23438,zip_derived_cl197]) ).
thf(zip_derived_cl291,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('117',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl291]) ).
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('118',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1487_105,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_106,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23363,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl1484]) ).
thf(zip_derived_cl195_107,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('119',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23363,zip_derived_cl195]) ).
thf(zip_derived_cl1486_108,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_109,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23350,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl1484]) ).
thf(zip_derived_cl196_110,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('120',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23350,zip_derived_cl196]) ).
thf(zip_derived_cl1485_111,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_112,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23338,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl1484]) ).
thf(zip_derived_cl197_113,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('121',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23338,zip_derived_cl197]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('122',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1490_114,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23397,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl1489]) ).
thf(zip_derived_cl194_115,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('123',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23397,zip_derived_cl194]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('124',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl305,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('125',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1502_116,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1500_117,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23543,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl1500]) ).
thf(zip_derived_cl196_118,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('126',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23543,zip_derived_cl196]) ).
thf('127',plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('sat_resolution*',[status(thm)],['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','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126']) ).
thf(zip_derived_cl33750,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1498,'127']) ).
thf(zip_derived_cl17668,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_cl1212]) ).
thf(zip_derived_cl23139_119,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl426]) ).
thf(zip_derived_cl23088_120,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27775,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl23152_121,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44484,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17668,zip_derived_cl27775,zip_derived_cl23152]) ).
thf(zip_derived_cl49588,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33750,zip_derived_cl44484]) ).
thf(zip_derived_cl27775_122,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
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_cl1690,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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_cl1722,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl421,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2296,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
<= ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27696,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1722,zip_derived_cl2296]) ).
thf(zip_derived_cl1664,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24584,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl177]) ).
thf(zip_derived_cl33306,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27696,zip_derived_cl24584]) ).
thf('128',plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33306]) ).
thf(zip_derived_cl1689,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2298,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27719,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1689,zip_derived_cl2298]) ).
thf(zip_derived_cl27770_123,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23088]) ).
thf('129',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27719,zip_derived_cl27770]) ).
thf(zip_derived_cl1704_124,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2297,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27707,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl2297]) ).
thf(zip_derived_cl1704_125,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl27711,plain,
( ( e20 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27707,zip_derived_cl1704]) ).
thf(zip_derived_cl203_126,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('130',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27711,zip_derived_cl203]) ).
thf(zip_derived_cl91,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('131',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
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_cl1718,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
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_cl23088_127,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27772,plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl23088]) ).
thf(zip_derived_cl28010,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl27772]) ).
thf('132',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28010]) ).
thf('133',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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('134',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1691,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1675,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24728,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl186]) ).
thf(zip_derived_cl27863,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl24728]) ).
thf('135',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27863]) ).
thf(zip_derived_cl1675_128,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2299,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27733,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl2299]) ).
thf(zip_derived_cl426_129,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27736,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27733,zip_derived_cl426]) ).
thf(zip_derived_cl199_130,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('136',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27736,zip_derived_cl199]) ).
thf(zip_derived_cl396,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('137',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zip_derived_cl398,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('138',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl398]) ).
thf(zip_derived_cl409,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('139',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl409]) ).
thf(zip_derived_cl1708,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1676_131,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
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_cl24744,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl172]) ).
thf(zip_derived_cl27936,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl24744]) ).
thf('140',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27936]) ).
thf(zip_derived_cl344,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('141',plain,
( ~ zip_tseitin_19
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl337,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('142',plain,
( ~ zip_tseitin_18
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zip_derived_cl23093_132,plain,
( e20
= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl426]) ).
thf(zip_derived_cl23088_133,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27774,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl23093,zip_derived_cl23088]) ).
thf(zip_derived_cl1679,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl28024,plain,
( ( e20 = e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27774,zip_derived_cl1679]) ).
thf(zip_derived_cl201_134,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('143',plain,
( ( op2 @ e22 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28024,zip_derived_cl201]) ).
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_cl1684,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1676_135,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24741,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl151]) ).
thf(zip_derived_cl27920,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl24741]) ).
thf('144',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27920]) ).
thf(zip_derived_cl1714_136,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1682,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
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_cl24814,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1682,zip_derived_cl178]) ).
thf(zip_derived_cl28081,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl24814]) ).
thf('145',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28081]) ).
thf(zip_derived_cl1691_137,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1690_138,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24910,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1690]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('146',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24910,zip_derived_cl198]) ).
thf(zip_derived_cl1690_139,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1689_140,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24902,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl1689]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('147',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24902,zip_derived_cl200]) ).
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('148',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl417,plain,
( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20
| zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('149',plain,
( zip_tseitin_28
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_27
| zip_tseitin_17
| zip_tseitin_21
| zip_tseitin_30
| zip_tseitin_19
| zip_tseitin_16
| zip_tseitin_25
| zip_tseitin_26
| zip_tseitin_18
| zip_tseitin_22
| zip_tseitin_29
| zip_tseitin_20
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zip_derived_cl367,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('150',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf(zip_derived_cl1675_141,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1674,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24733,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1674]) ).
thf(zip_derived_cl198_142,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('151',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24733,zip_derived_cl198]) ).
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('152',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1670_143,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1669,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24682,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1670,zip_derived_cl1669]) ).
thf(zip_derived_cl200_144,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('153',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24682,zip_derived_cl200]) ).
thf(zip_derived_cl1674_145,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1672_146,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24723,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1674,zip_derived_cl1672]) ).
thf(zip_derived_cl202_147,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('154',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24723,zip_derived_cl202]) ).
thf(zip_derived_cl1667_148,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24634,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl1666]) ).
thf(zip_derived_cl198_149,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('155',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24634,zip_derived_cl198]) ).
thf(zip_derived_cl1666_150,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1664_151,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24617,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1666,zip_derived_cl1664]) ).
thf(zip_derived_cl202_152,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('156',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24617,zip_derived_cl202]) ).
thf(zip_derived_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('157',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(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('158',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1671,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1669_153,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24698,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1669]) ).
thf(zip_derived_cl199_154,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('159',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24698,zip_derived_cl199]) ).
thf(zip_derived_cl1669_155,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1668,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24666,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1668]) ).
thf(zip_derived_cl203_156,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('160',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24666,zip_derived_cl203]) ).
thf(zip_derived_cl1675_157,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1672_158,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24731,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1672]) ).
thf(zip_derived_cl201_159,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('161',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24731,zip_derived_cl201]) ).
thf(zip_derived_cl1667_160,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1664_161,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24632,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl1664]) ).
thf(zip_derived_cl201_162,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('162',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24632,zip_derived_cl201]) ).
thf(zip_derived_cl23088_163,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl1671_164,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl27777,plain,
( ( e22 = e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23088,zip_derived_cl1671]) ).
thf(zip_derived_cl198_165,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('163',plain,
( ( op2 @ e23 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27777,zip_derived_cl198]) ).
thf('164',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670_166,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1666_167,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
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_cl24612,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl146]) ).
thf(zip_derived_cl27699,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl24612]) ).
thf('165',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27699]) ).
thf(zip_derived_cl391,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('166',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zip_derived_cl327,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('167',plain,
( ~ zip_tseitin_17
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl355,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('168',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zip_derived_cl353,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('169',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zip_derived_cl325,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('170',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl324,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('171',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl375,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('172',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl385,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('173',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl382,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('174',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
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('175',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl399,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('176',plain,
( ~ zip_tseitin_29
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl399]) ).
thf(zip_derived_cl415,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('177',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl415]) ).
thf(zip_derived_cl411,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('178',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl411]) ).
thf(zip_derived_cl1711_168,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1679_169,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl172_170,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24772,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl172]) ).
thf(zip_derived_cl28015,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl24772]) ).
thf('179',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28015]) ).
thf(zip_derived_cl334,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('180',plain,
( ~ zip_tseitin_18
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl406,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('181',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl406]) ).
thf('182',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl343,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('183',plain,
( ~ zip_tseitin_19
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl343]) ).
thf(zip_derived_cl1717,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25267,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl1716]) ).
thf(zip_derived_cl203_171,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('184',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25267,zip_derived_cl203]) ).
thf(zip_derived_cl347,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('185',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_20 ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl349,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('186',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('187',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl23088_172,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl1668_173,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl27776,plain,
( ( e22 = e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23088,zip_derived_cl1668]) ).
thf(zip_derived_cl202_174,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('188',plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27776,zip_derived_cl202]) ).
thf(zip_derived_cl1686,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl27770_175,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23088]) ).
thf(zip_derived_cl27985,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1686,zip_derived_cl27770]) ).
thf('189',plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27985]) ).
thf(zip_derived_cl27774_176,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl23093,zip_derived_cl23088]) ).
thf(zip_derived_cl1678,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl28023,plain,
( ( e20 = e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27774,zip_derived_cl1678]) ).
thf(zip_derived_cl202_177,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('190',plain,
( ( op2 @ e22 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28023,zip_derived_cl202]) ).
thf(zip_derived_cl374,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('191',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl374]) ).
thf(zip_derived_cl1688,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1676_178,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_cl24742,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl153]) ).
thf(zip_derived_cl27925,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl24742]) ).
thf('192',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27925]) ).
thf(zip_derived_cl1688_179,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1672_180,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186_181,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24707,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl186]) ).
thf(zip_derived_cl27838,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl24707]) ).
thf('193',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27838]) ).
thf(zip_derived_cl1687,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_182,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24877,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1684]) ).
thf(zip_derived_cl201_183,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('194',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24877,zip_derived_cl201]) ).
thf(zip_derived_cl1686_184,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_185,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24867,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1686,zip_derived_cl1684]) ).
thf(zip_derived_cl202_186,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('195',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24867,zip_derived_cl202]) ).
thf(zip_derived_cl1683,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681_187,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24834,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1681]) ).
thf(zip_derived_cl199_188,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('196',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24834,zip_derived_cl199]) ).
thf(zip_derived_cl73,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('197',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1691_189,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688_190,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24908,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1688]) ).
thf(zip_derived_cl201_191,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('198',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24908,zip_derived_cl201]) ).
thf(zip_derived_cl1689_192,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688_193,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24894,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1689,zip_derived_cl1688]) ).
thf(zip_derived_cl203_194,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('199',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24894,zip_derived_cl203]) ).
thf(zip_derived_cl1679_195,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1678_196,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24775,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1678]) ).
thf(zip_derived_cl198_197,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('200',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24775,zip_derived_cl198]) ).
thf(zip_derived_cl1690_198,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688_199,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24901,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl1688]) ).
thf(zip_derived_cl202_200,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('201',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24901,zip_derived_cl202]) ).
thf(zip_derived_cl397,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('202',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl1687_201,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1685,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24878,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1685]) ).
thf(zip_derived_cl199_202,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('203',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24878,zip_derived_cl199]) ).
thf(zip_derived_cl1685_203,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_204,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24856,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl1684]) ).
thf(zip_derived_cl203_205,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('204',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24856,zip_derived_cl203]) ).
thf(zip_derived_cl77,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('205',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1711_206,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25173,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1710]) ).
thf(zip_derived_cl198_207,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('206',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25173,zip_derived_cl198]) ).
thf(zip_derived_cl1710_208,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_209,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25153,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1710,zip_derived_cl1708]) ).
thf(zip_derived_cl202_210,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('207',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25153,zip_derived_cl202]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('208',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl1662,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_211,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24563,plain,
( ( e21 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1662,zip_derived_cl426]) ).
thf(zip_derived_cl200_212,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('209',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24563,zip_derived_cl200]) ).
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('210',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl1663,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_213,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24569,plain,
( ( e21 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1663,zip_derived_cl426]) ).
thf(zip_derived_cl199_214,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('211',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24569,zip_derived_cl199]) ).
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('212',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl1660,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_215,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24550,plain,
( ( e21 = e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1660,zip_derived_cl426]) ).
thf(zip_derived_cl203_216,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('213',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24550,zip_derived_cl203]) ).
thf(zip_derived_cl1695_217,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24946,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1694]) ).
thf(zip_derived_cl198_218,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('214',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24946,zip_derived_cl198]) ).
thf(zip_derived_cl1694_219,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692_220,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24935,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1694,zip_derived_cl1692]) ).
thf(zip_derived_cl202_221,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('215',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24935,zip_derived_cl202]) ).
thf(zip_derived_cl1711_222,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_223,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25171,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1708]) ).
thf(zip_derived_cl201_224,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('216',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25171,zip_derived_cl201]) ).
thf(zip_derived_cl1679_225,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24774,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1677]) ).
thf(zip_derived_cl199_226,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('217',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24774,zip_derived_cl199]) ).
thf(zip_derived_cl1678_227,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677_228,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24762,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl1677]) ).
thf(zip_derived_cl200_229,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('218',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24762,zip_derived_cl200]) ).
thf(zip_derived_cl1677_230,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1676_231,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24753,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1676]) ).
thf(zip_derived_cl203_232,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('219',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24753,zip_derived_cl203]) ).
thf(zip_derived_cl1695_233,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692_234,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24944,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1692]) ).
thf(zip_derived_cl201_235,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('220',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24944,zip_derived_cl201]) ).
thf(zip_derived_cl1682_236,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681_237,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24817,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl1681]) ).
thf(zip_derived_cl200_238,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('221',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24817,zip_derived_cl200]) ).
thf(zip_derived_cl1682_239,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1680_240,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24816,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl1680]) ).
thf(zip_derived_cl202_241,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('222',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24816,zip_derived_cl202]) ).
thf(zip_derived_cl1679_242,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1676_243,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24773,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1676]) ).
thf(zip_derived_cl201_244,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('223',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24773,zip_derived_cl201]) ).
thf(zip_derived_cl1683_245,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1682_246,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24835,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1682]) ).
thf(zip_derived_cl198_247,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('224',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24835,zip_derived_cl198]) ).
thf(zip_derived_cl358,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('225',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_22 ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf('226',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
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('227',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('228',plain,
( ( op2 @ e22 @ e20 )
= e22 ),
inference('sat_resolution*',[status(thm)],['128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227']) ).
thf(zip_derived_cl33666,plain,
( ( op2 @ e22 @ e20 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1690,'228']) ).
thf(zip_derived_cl49598,plain,
( ( e22 != e22 )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49588,zip_derived_cl27775,zip_derived_cl33666]) ).
thf('229',plain,
( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl49598]) ).
thf(zip_derived_cl17671,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_cl1212]) ).
thf(zip_derived_cl27640_248,plain,
( e10
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl23074,zip_derived_cl23067]) ).
thf(zip_derived_cl23152_249,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl27775_250,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl443_251,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27774_252,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl23093,zip_derived_cl23088]) ).
thf(zip_derived_cl44505,plain,
( ( e20 != e20 )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17671,zip_derived_cl27640,zip_derived_cl23152,zip_derived_cl27775,zip_derived_cl443,zip_derived_cl27774]) ).
thf('230',plain,
( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44505]) ).
thf(zip_derived_cl17673,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_cl1212]) ).
thf(zip_derived_cl23067_253,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27775_254,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl443_255,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl23144_256,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23088_257,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl44510,plain,
( ( e22 != e22 )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17673,zip_derived_cl23067,zip_derived_cl27775,zip_derived_cl443,zip_derived_cl23144,zip_derived_cl23088]) ).
thf('231',plain,
( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44510]) ).
thf(zip_derived_cl17675,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_cl1212]) ).
thf(zip_derived_cl423_258,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23144_259,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl443_260,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl443_261,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_262,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl44517,plain,
( ( e21 != e21 )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17675,zip_derived_cl423,zip_derived_cl23144,zip_derived_cl443,zip_derived_cl443,zip_derived_cl426]) ).
thf('232',plain,
( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44517]) ).
thf(zip_derived_cl1701_263,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl10,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1509,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl17665,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_cl1212]) ).
thf(zip_derived_cl23144_264,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23144_265,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44469,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17665,zip_derived_cl23144,zip_derived_cl23144]) ).
thf(zip_derived_cl44471,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl44469]) ).
thf(zip_derived_cl23144_266,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44474,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44471,zip_derived_cl23144]) ).
thf(zip_derived_cl44568,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl44474]) ).
thf('233',plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44568]) ).
thf(zip_derived_cl1699_267,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl9,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1507,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl17666,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_cl1212]) ).
thf(zip_derived_cl23144_268,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl27775_269,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl44476,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17666,zip_derived_cl23144,zip_derived_cl27775]) ).
thf(zip_derived_cl44478,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl44476]) ).
thf(zip_derived_cl443_270,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44481,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44478,zip_derived_cl443]) ).
thf(zip_derived_cl44577,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1699,zip_derived_cl44481]) ).
thf('234',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44577]) ).
thf(zip_derived_cl1681_271,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1705,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1704_272,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25070,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl1704]) ).
thf(zip_derived_cl203_273,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('235',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25070,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('236',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1693,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_cl426_274,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23086,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl426]) ).
thf(zip_derived_cl27744,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl23086]) ).
thf('237',plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27744]) ).
thf(zip_derived_cl362,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('238',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl362]) ).
thf(zip_derived_cl81,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('239',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl1721,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1720,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25333,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1720]) ).
thf(zip_derived_cl203_275,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('240',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25333,zip_derived_cl203]) ).
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('241',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf(zip_derived_cl1673,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_cl426_276,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23084,plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl426]) ).
thf(zip_derived_cl27714,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl23084]) ).
thf('242',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27714]) ).
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('243',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1706,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1690_277,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
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_cl24899,plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl188]) ).
thf(zip_derived_cl28158,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl24899]) ).
thf('244',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28158]) ).
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('245',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1705_278,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1697_279,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24965,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl160]) ).
thf(zip_derived_cl28241,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl24965]) ).
thf('246',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28241]) ).
thf(zip_derived_cl1698,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1697_280,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24981,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1698,zip_derived_cl1697]) ).
thf(zip_derived_cl200_281,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('247',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24981,zip_derived_cl200]) ).
thf('248',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl420,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('249',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl1697_282,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2289,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27534,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl2289]) ).
thf(zip_derived_cl1697_283,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_cl24964,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl158]) ).
thf('250',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27534,zip_derived_cl24964]) ).
thf(zip_derived_cl1703_284,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2293,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27628,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl2293]) ).
thf(zip_derived_cl23086_285,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl426]) ).
thf('251',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27628,zip_derived_cl23086]) ).
thf(zip_derived_cl1716_286,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2292,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 )
<= ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27615,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1716,zip_derived_cl2292]) ).
thf(zip_derived_cl1716_287,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25253,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl167]) ).
thf('252',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27615,zip_derived_cl25253]) ).
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('253',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf('254',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1702,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23088_288,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27771,plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl23088]) ).
thf(zip_derived_cl27999,plain,
( ( e22 != e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1702,zip_derived_cl27771]) ).
thf('255',plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27999]) ).
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('256',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1714_289,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2288,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 )
<= ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27511,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl2288]) ).
thf(zip_derived_cl24584_290,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl177]) ).
thf(zip_derived_cl32768,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27511,zip_derived_cl24584]) ).
thf('257',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32768]) ).
thf(zip_derived_cl1714_291,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1713,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25222,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl1713]) ).
thf(zip_derived_cl200_292,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('258',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25222,zip_derived_cl200]) ).
thf(zip_derived_cl371,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('259',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl372,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('260',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl372]) ).
thf(zip_derived_cl373,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('261',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl1664_293,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2291_294,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27582,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl2291]) ).
thf(zip_derived_cl23088_295,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl2295,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27778,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23088,zip_derived_cl2295]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl33814,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27778,zip_derived_cl148]) ).
thf(zip_derived_cl33854,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27582,zip_derived_cl33814]) ).
thf('262',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e23 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33854]) ).
thf(zip_derived_cl1712_296,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl24584_297,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl177]) ).
thf(zip_derived_cl27674,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl24584]) ).
thf('263',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27674]) ).
thf(zip_derived_cl1707_298,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1675_299,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl187_300,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24729,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl187]) ).
thf(zip_derived_cl27876,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1707,zip_derived_cl24729]) ).
thf('264',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27876]) ).
thf(zip_derived_cl1701_301,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1685_302,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
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_cl24854,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl182]) ).
thf(zip_derived_cl28115,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl24854]) ).
thf('265',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28115]) ).
thf(zip_derived_cl1685_303,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2294,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27653,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl2294]) ).
thf(zip_derived_cl1685_304,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl27656,plain,
( ( e21 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27653,zip_derived_cl1685]) ).
thf(zip_derived_cl200_305,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('266',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27656,zip_derived_cl200]) ).
thf('267',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1665,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_306,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23082,plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl426]) ).
thf(zip_derived_cl27689,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl23082]) ).
thf('268',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27689]) ).
thf('269',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('270',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24878,zip_derived_cl199]) ).
thf('271',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf('272',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24817,zip_derived_cl200]) ).
thf('273',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl1699_307,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1683_308,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24830,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl176]) ).
thf(zip_derived_cl28097,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1699,zip_derived_cl24830]) ).
thf('274',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28097]) ).
thf(zip_derived_cl1683_309,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1667_310,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24629,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl174]) ).
thf(zip_derived_cl27811,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl24629]) ).
thf('275',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27811]) ).
thf(zip_derived_cl1683_311,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2290_312,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27561,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl2290]) ).
thf(zip_derived_cl27774_313,plain,
( e20
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl23093,zip_derived_cl23088]) ).
thf(zip_derived_cl32948,plain,
( ( e20 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27561,zip_derived_cl27774]) ).
thf(zip_derived_cl202_314,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('276',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32948,zip_derived_cl202]) ).
thf('277',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24834,zip_derived_cl199]) ).
thf('278',plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference('sat_resolution*',[status(thm)],['10','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','128','129','130','131','132','133','135','136','137','138','139','140','141','142','143','144','145','146','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','269','198','199','200','201','202','270','204','271','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','272','222','223','224','225','273','227','147','274','275','276','277','134','4']) ).
thf(zip_derived_cl33861,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1681,'278']) ).
thf(zip_derived_cl1489_315,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl17670,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_cl1212]) ).
thf(zip_derived_cl27775_316,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl27775_317,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl44500,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17670,zip_derived_cl27775,zip_derived_cl27775]) ).
thf(zip_derived_cl44501,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl44500]) ).
thf(zip_derived_cl23144_318,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44503,plain,
( ( e21
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44501,zip_derived_cl23144]) ).
thf(zip_derived_cl49707,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33861,zip_derived_cl44503]) ).
thf('279',plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49707]) ).
thf(zip_derived_cl1491_319,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489_320,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23408,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl1489]) ).
thf(zip_derived_cl193_321,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('280',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23408,zip_derived_cl193]) ).
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('281',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('282',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1504,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1472,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
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_cl23186,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl127]) ).
thf(zip_derived_cl26626,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl23186]) ).
thf('283',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26626]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('284',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl13,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1522,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1521,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23745,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1521]) ).
thf(zip_derived_cl194_322,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('285',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23745,zip_derived_cl194]) ).
thf(zip_derived_cl1505,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1489_323,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23384,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl128]) ).
thf(zip_derived_cl26998,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl23384]) ).
thf('286',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26998]) ).
thf(zip_derived_cl1499_324,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498_325,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23508,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1498]) ).
thf(zip_derived_cl192_326,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('287',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23508,zip_derived_cl192]) ).
thf(zip_derived_cl40,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('288',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('289',plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1504_327,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl318,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl2065,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26988,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1504,zip_derived_cl2065]) ).
thf(zip_derived_cl1515,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl29946,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26988,zip_derived_cl1515]) ).
thf(zip_derived_cl193_328,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('290',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29946,zip_derived_cl193]) ).
thf(zip_derived_cl1489_329,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2066,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl27013,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl2066]) ).
thf(zip_derived_cl27636_330,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl23067]) ).
thf('291',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27013,zip_derived_cl27636]) ).
thf(zip_derived_cl1522_331,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2064,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26966,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2064]) ).
thf(zip_derived_cl1522_332,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl29904,plain,
( ( e10 = e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26966,zip_derived_cl1522]) ).
thf(zip_derived_cl196_333,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('292',plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29904,zip_derived_cl196]) ).
thf('293',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1475_334,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl2067,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl27038,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl2067]) ).
thf(zip_derived_cl423_335,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl27041,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27038,zip_derived_cl423]) ).
thf(zip_derived_cl193_336,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('294',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27041,zip_derived_cl193]) ).
thf(zip_derived_cl1491_337,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1475_338,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23214,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1475,zip_derived_cl126]) ).
thf(zip_derived_cl26674,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl23214]) ).
thf('295',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26674]) ).
thf(zip_derived_cl1495_339,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1493_340,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23461,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1493]) ).
thf(zip_derived_cl193_341,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('296',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23461,zip_derived_cl193]) ).
thf(zip_derived_cl1515_342,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1503_343,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23553,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl111]) ).
thf(zip_derived_cl27280,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl23553]) ).
thf('297',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27280]) ).
thf(zip_derived_cl1515_344,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1499_345,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23504,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl140]) ).
thf(zip_derived_cl27180,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl23504]) ).
thf('298',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27180]) ).
thf(zip_derived_cl1515_346,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1513_347,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23687,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1513]) ).
thf(zip_derived_cl193_348,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('299',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23687,zip_derived_cl193]) ).
thf('300',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl1716_349,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1524_350,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl17661,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_cl1212]) ).
thf(zip_derived_cl23152_351,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl23144_352,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44448,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17661,zip_derived_cl23152,zip_derived_cl23144]) ).
thf(zip_derived_cl44449,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl44448]) ).
thf(zip_derived_cl23152_353,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44452,plain,
( ( e20
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44449,zip_derived_cl23152]) ).
thf(zip_derived_cl44519,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl44452]) ).
thf('301',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44519]) ).
thf(zip_derived_cl1721_354,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1529_355,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl17660,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_cl1212]) ).
thf(zip_derived_cl23152_356,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl23152_357,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44439,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17660,zip_derived_cl23152,zip_derived_cl23152]) ).
thf(zip_derived_cl44441,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl44439]) ).
thf(zip_derived_cl23144_358,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44443,plain,
( ( e21
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44441,zip_derived_cl23144]) ).
thf(zip_derived_cl44514,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl44443]) ).
thf('302',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44514]) ).
thf(zip_derived_cl1704_359,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1512_360,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl17664,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_cl1212]) ).
thf(zip_derived_cl23144_361,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23152_362,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44457,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17664,zip_derived_cl23144,zip_derived_cl23152]) ).
thf(zip_derived_cl44458,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl44457]) ).
thf(zip_derived_cl23152_363,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44461,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44458,zip_derived_cl23152]) ).
thf(zip_derived_cl44537,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl44461]) ).
thf('303',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44537]) ).
thf(zip_derived_cl1501_364,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_cl423_365,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23065,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl423]) ).
thf(zip_derived_cl27611,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl23065]) ).
thf('304',plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27611]) ).
thf(zip_derived_cl1500_366,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1484_367,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23323,plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl122]) ).
thf(zip_derived_cl26843,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1500,zip_derived_cl23323]) ).
thf('305',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26843]) ).
thf('306',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1506,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1502_368,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23539,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl108]) ).
thf(zip_derived_cl27241,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl23539]) ).
thf('307',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27241]) ).
thf(zip_derived_cl1498_369,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1490_370,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl106,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23393,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl106]) ).
thf(zip_derived_cl27018,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23393]) ).
thf('308',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27018]) ).
thf(zip_derived_cl319,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('309',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
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('310',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1524_371,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl2068,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27063,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2068]) ).
thf(zip_derived_cl1524_372,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23766,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl119]) ).
thf('311',plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27063,zip_derived_cl23766]) ).
thf(zip_derived_cl23067_373,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl2071,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27643,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23067,zip_derived_cl2071]) ).
thf(zip_derived_cl1472_374,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl33737,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27643,zip_derived_cl1472]) ).
thf(zip_derived_cl195_375,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('312',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33737,zip_derived_cl195]) ).
thf(zip_derived_cl1515_376,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1483_377,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23306,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl139]) ).
thf(zip_derived_cl26819,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl23306]) ).
thf('313',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26819]) ).
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('314',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1529_378,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1528,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23803,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1528]) ).
thf(zip_derived_cl197_379,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('315',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23803,zip_derived_cl197]) ).
thf(zip_derived_cl258,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('316',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
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('317',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf('318',plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1473,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_cl423_380,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23061,plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl423]) ).
thf(zip_derived_cl26602,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl23061]) ).
thf('319',plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26602]) ).
thf(zip_derived_cl1481_381,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl99,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_382,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23063,plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl423]) ).
thf(zip_derived_cl27472,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl23063]) ).
thf('320',plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27472]) ).
thf(zip_derived_cl1514_383,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1498_384,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140_385,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23492,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl140]) ).
thf(zip_derived_cl27165,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23492]) ).
thf('321',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27165]) ).
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('322',plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1475_386,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1472_387,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23217,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl1472]) ).
thf(zip_derived_cl195_388,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('323',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23217,zip_derived_cl195]) ).
thf(zip_derived_cl1522_389,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1520,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23744,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1520]) ).
thf(zip_derived_cl196_390,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('324',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23744,zip_derived_cl196]) ).
thf(zip_derived_cl1488_391,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1484_392,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23320,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl102]) ).
thf(zip_derived_cl26826,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl23320]) ).
thf('325',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26826]) ).
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('326',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1493_393,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2070,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27112,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl2070]) ).
thf(zip_derived_cl1493_394,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl27115,plain,
( ( e11 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27112,zip_derived_cl1493]) ).
thf(zip_derived_cl194_395,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('327',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27115,zip_derived_cl194]) ).
thf(zip_derived_cl1497_396,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1493_397,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23435,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl107]) ).
thf(zip_derived_cl27078,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl23435]) ).
thf('328',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27078]) ).
thf(zip_derived_cl1513_398,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1505_399,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_cl23574,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl112]) ).
thf(zip_derived_cl27308,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl23574]) ).
thf('329',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27308]) ).
thf(zip_derived_cl1507_400,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1505_401,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23601,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1505]) ).
thf(zip_derived_cl193_402,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('330',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23601,zip_derived_cl193]) ).
thf(zip_derived_cl1506_403,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1505_404,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23585,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1505]) ).
thf(zip_derived_cl194_405,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('331',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23585,zip_derived_cl194]) ).
thf(zip_derived_cl1505_406,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1504_407,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23576,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl1504]) ).
thf(zip_derived_cl197_408,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('332',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23576,zip_derived_cl197]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('333',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl1511,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2069,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27090,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl2069]) ).
thf(zip_derived_cl23065_409,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl423]) ).
thf('334',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27090,zip_derived_cl23065]) ).
thf(zip_derived_cl272,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('335',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl1522_410,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1518_411,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_cl23707,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl114]) ).
thf(zip_derived_cl27447,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl23707]) ).
thf('336',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27447]) ).
thf(zip_derived_cl1519_412,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1503_413,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
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_cl23554,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl125]) ).
thf(zip_derived_cl27285,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl23554]) ).
thf('337',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27285]) ).
thf(zip_derived_cl1531_414,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1519_415,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23719,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl117]) ).
thf(zip_derived_cl27516,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl23719]) ).
thf('338',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27516]) ).
thf('339',plain,
( zip_tseitin_8
| zip_tseitin_4
| zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_11
| zip_tseitin_5
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_3
| zip_tseitin_9
| zip_tseitin_10
| zip_tseitin_12
| zip_tseitin_2
| zip_tseitin_13
| zip_tseitin_14
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl1530_416,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1498_417,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl142_418,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23493,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl142]) ).
thf(zip_derived_cl27174,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23493]) ).
thf('340',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27174]) ).
thf(zip_derived_cl1694_419,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1502_420,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('341',plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('sat_resolution*',[status(thm)],['304','305','84','66','82','67','68','70','71','72','73','74','122','75','76','77','78','25','112','111','88','89','90','40','91','92','69','309','310','311','312','313','314','315','316','317','318','319','65','81','320','321','322','79','323','324','325','326','51','52','53','54','39','327','328','329','330','331','332','33','50','124','34','333','334','42','103','93','94','95','45','47','48','49','96','97','98','99','46','41','100','101','335','336','102','106','107','56','337','109','114','306']) ).
thf(zip_derived_cl33751,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1502,'341']) ).
thf(zip_derived_cl17667,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_cl1212]) ).
thf(zip_derived_cl23144_421,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl443_422,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44483,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17667,zip_derived_cl23144,zip_derived_cl443]) ).
thf(zip_derived_cl49610,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33751,zip_derived_cl44483]) ).
thf(zip_derived_cl27775_423,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl49611,plain,
( ( e22
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49610,zip_derived_cl27775]) ).
thf(zip_derived_cl49612,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl49611]) ).
thf('342',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49612]) ).
thf(zip_derived_cl1711_424,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1519_425,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('343',plain,
( ( op1 @ e10 @ e13 )
= e13 ),
inference('sat_resolution*',[status(thm)],['84','66','82','67','68','70','71','72','73','74','122','75','76','77','78','25','112','111','88','89','90','40','91','92','69','309','310','311','312','313','314','315','316','317','318','319','65','81','320','321','322','79','323','324','325','326','51','52','53','54','39','327','328','329','330','331','332','33','50','124','34','333','334','42','103','93','94','95','45','47','48','49','96','97','98','99','46','41','100','101','335','336','102','106','107','56','337','109','114','87']) ).
thf(zip_derived_cl33752,plain,
( ( op1 @ e10 @ e13 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1519,'343']) ).
thf(zip_derived_cl17663,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_cl1212]) ).
thf(zip_derived_cl23152_426,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl443_427,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44456,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17663,zip_derived_cl23152,zip_derived_cl443]) ).
thf(zip_derived_cl49633,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33752,zip_derived_cl44456]) ).
thf(zip_derived_cl443_428,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl49637,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49633,zip_derived_cl443]) ).
thf(zip_derived_cl49639,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl49637]) ).
thf('344',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49639]) ).
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('345',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1719,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1687_429,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24876,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl184]) ).
thf(zip_derived_cl28142,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl24876]) ).
thf('346',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28142]) ).
thf(zip_derived_cl72,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('347',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf('348',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf('349',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e20 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf('350',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32768]) ).
thf('351',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('352',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27811]) ).
thf(zip_derived_cl1703_430,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1687_431,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182_432,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24875,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl182]) ).
thf(zip_derived_cl28135,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl24875]) ).
thf('353',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28135]) ).
thf('354',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('355',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1722_433,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1690_434,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
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_cl24900,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl190]) ).
thf(zip_derived_cl28163,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl24900]) ).
thf('356',plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28163]) ).
thf('357',plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1714_435,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1522_436,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('358',plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference('sat_resolution*',[status(thm)],['304','305','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','327','328','329','330','331','332','333','334','335','336','337','306','307','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','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','308','326']) ).
thf(zip_derived_cl33753,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1522,'358']) ).
thf(zip_derived_cl17662,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_cl1212]) ).
thf(zip_derived_cl23152_437,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl27775_438,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl44455,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17662,zip_derived_cl23152,zip_derived_cl27775]) ).
thf(zip_derived_cl49670,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33753,zip_derived_cl44455]) ).
thf(zip_derived_cl27775_439,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl49682,plain,
( ( e22
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49670,zip_derived_cl27775]) ).
thf(zip_derived_cl49684,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl49682]) ).
thf('359',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49684]) ).
thf(zip_derived_cl1714_440,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1698_441,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24979,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl179]) ).
thf(zip_derived_cl28257,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl24979]) ).
thf('360',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28257]) ).
thf(zip_derived_cl1715_442,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1714_443,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25239,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1714]) ).
thf(zip_derived_cl198_444,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('361',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25239,zip_derived_cl198]) ).
thf(zip_derived_cl1675_445,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1483_446,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('362',plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('sat_resolution*',[status(thm)],['336','337','338','290','291','292','293','335','307','294','295','309','310','311','312','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','306','305','304','296','297','298','313','299','300','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','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','287','288']) ).
thf(zip_derived_cl33749,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1483,'362']) ).
thf(zip_derived_cl17672,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_cl1212]) ).
thf(zip_derived_cl443_447,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl23152_448,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl44507,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17672,zip_derived_cl443,zip_derived_cl23152]) ).
thf(zip_derived_cl49548,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33749,zip_derived_cl44507]) ).
thf(zip_derived_cl443_449,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl49552,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49548,zip_derived_cl443]) ).
thf(zip_derived_cl49554,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl49552]) ).
thf('363',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49554]) ).
thf(zip_derived_cl1723,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1675_450,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24730,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl189]) ).
thf(zip_derived_cl27884,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl24730]) ).
thf('364',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27884]) ).
thf('365',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl1664_451,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1472_452,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('366',plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference('sat_resolution*',[status(thm)],['336','337','338','290','291','292','293','335','307','294','295','309','310','311','312','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','306','305','304','296','297','298','313','299','300','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','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','287','288','73','289']) ).
thf(zip_derived_cl33748,plain,
( ( op1 @ e13 @ e12 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1472,'366']) ).
thf(zip_derived_cl17674,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_cl1212]) ).
thf(zip_derived_cl443_453,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27775_454,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl44512,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17674,zip_derived_cl443,zip_derived_cl27775]) ).
thf(zip_derived_cl49522,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33748,zip_derived_cl44512]) ).
thf(zip_derived_cl23152_455,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23093]) ).
thf(zip_derived_cl49523,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49522,zip_derived_cl23152]) ).
thf(zip_derived_cl49524,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl49523]) ).
thf('367',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49524]) ).
thf(zip_derived_cl1672_456,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1664_457,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148_458,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24581,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl148]) ).
thf(zip_derived_cl27600,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl24581]) ).
thf('368',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27600]) ).
thf('369',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24632,zip_derived_cl201]) ).
thf(zip_derived_cl1687_459,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf('370',plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference('sat_resolution*',[status(thm)],['235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','128','129','130','131','132','133','135','136','137','138','139','140','141','142','143','144','145','146','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','198','199','200','201','202','270','204','271','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','272','222','223','224','225','273','227','147','274','275','276','277','134','269']) ).
thf(zip_derived_cl33862,plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1687,'370']) ).
thf(zip_derived_cl1495_460,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl17669,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_cl1212]) ).
thf(zip_derived_cl27775_461,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23139,zip_derived_cl23088]) ).
thf(zip_derived_cl23144_462,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl44487,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17669,zip_derived_cl27775,zip_derived_cl23144]) ).
thf(zip_derived_cl44489,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl44487]) ).
thf(zip_derived_cl443_463,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44491,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44489,zip_derived_cl443]) ).
thf(zip_derived_cl49726,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33862,zip_derived_cl44491]) ).
thf('371',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49726]) ).
thf('372',plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('373',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24731,zip_derived_cl201]) ).
thf('374',plain,
( ~ zip_tseitin_28
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl398]) ).
thf('375',plain,
( zip_tseitin_24
| zip_tseitin_28
| zip_tseitin_23
| zip_tseitin_27
| zip_tseitin_17
| zip_tseitin_21
| zip_tseitin_30
| zip_tseitin_19
| zip_tseitin_16
| zip_tseitin_25
| zip_tseitin_26
| zip_tseitin_18
| zip_tseitin_22
| zip_tseitin_29
| zip_tseitin_20
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zip_derived_cl27511_464,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl2288]) ).
thf(zip_derived_cl1714_465,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl32765,plain,
( ( e20 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27511,zip_derived_cl1714]) ).
thf(zip_derived_cl202_466,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('376',plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32765,zip_derived_cl202]) ).
thf('377',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e20 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl1696_467,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2289_468,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27533,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl2289]) ).
thf(zip_derived_cl1701_469,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_cl25016,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl161]) ).
thf(zip_derived_cl32816,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27533,zip_derived_cl25016]) ).
thf('378',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32816]) ).
thf(zip_derived_cl49747,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','229','230','231','232','233','234','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','49','50','51','52','53','54','55','57','58','59','60','61','62','63','65','66','67','68','69','70','71','72','74','75','76','77','78','79','80','81','82','83','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','339','112','113','114','115','116','117','118','119','120','121','123','124','125','126','340','45','56','46','47','48','73','84','122','64','342','344','345','346','347','235','236','237','238','348','240','241','242','243','244','245','246','247','349','250','251','252','253','254','350','258','262','264','265','266','351','268','274','352','276','353','255','354','355','128','129','130','131','132','133','135','136','137','139','140','141','142','143','144','145','146','147','148','270','222','223','273','356','357','150','151','152','153','154','155','156','159','160','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','225','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','204','227','277','269','224','272','271','206','207','208','209','210','212','213','214','215','216','217','218','219','220','198','199','200','201','202','359','360','361','259','260','363','364','365','211','163','367','368','263','369','371','372','373','374','375','261','376','377','378']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.94vakFrcIZ true
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 05:25:54 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /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
% 32.82/5.33 % Solved by fo/fo1_av.sh.
% 32.82/5.33 % done 25915 iterations in 4.486s
% 32.82/5.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.82/5.33 % SZS output start Refutation
% See solution above
% 32.82/5.34
% 32.82/5.34
% 32.82/5.34 % Terminating...
% 33.27/5.46 % Runner terminated.
% 33.27/5.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------