TSTP Solution File: ALG100+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG100+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.GZ4TQVqDij true
% Computer : n011.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 17:10:37 EDT 2023
% Result : Unsatisfiable 15.51s 2.84s
% Output : Refutation 15.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 154
% Syntax : Number of formulae : 5576 ( 741 unt; 57 typ; 0 def)
% Number of atoms : 13359 (13133 equ; 0 cnn)
% Maximal formula atoms : 250 ( 2 avg)
% Number of connectives : 39697 (5257 ~;2544 |;1845 &;26600 @)
% ( 0 <=>; 25 =>;3426 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 32 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e4_type,type,
e4: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(e3_type,type,
e3: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(unit_type,type,
unit: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(e2_type,type,
e2: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(e1_type,type,
e1: $i ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(e0_type,type,
e0: $i ).
thf(op_type,type,
op: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(ax2,axiom,
( ( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) )
& ( ( op @ e4 @ unit )
= e4 )
& ( ( op @ unit @ e4 )
= e4 )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e0 )
= e0 ) ) ).
thf(zip_derived_cl25,plain,
( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl517,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1433,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(ax1,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 ) )
& ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e0 ) )
& ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 ) )
& ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e0 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e0 ) )
& ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 ) )
& ( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) )
& ( ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) )
& ( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) )
& ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 ) )
& ( ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) )
& ( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) )
& ( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) )
& ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e0 ) )
& ( ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) )
& ( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) )
& ( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) )
& ( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zip_derived_cl0,plain,
( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl396,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax4,axiom,
( ( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e1 ) )
& ( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e1 @ e1 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ) ) ).
thf(zip_derived_cl92,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1575,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl92]) ).
thf(zip_derived_cl6173,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e4 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl1575]) ).
thf('0',plain,
( ( ( op @ e4 @ e4 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6173]) ).
thf(zip_derived_cl7,plain,
( ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl428,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl445,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl456,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax20,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e3
= ( op @ e2 @ e2 ) )
& ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl285,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ e2 @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl1000,plain,
( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl6104,plain,
( ( e1
!= ( op @ ( op @ e2 @ e4 ) @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl1000]) ).
thf(zip_derived_cl10728,plain,
( ( e1
!= ( op @ e3 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl6104]) ).
thf(zip_derived_cl12023,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl10728]) ).
thf('1',plain,
( ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12023]) ).
thf(zip_derived_cl445_001,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl456_002,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax12,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e1
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl277,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl969,plain,
( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl5852,plain,
( ( e3
!= ( op @ e2 @ e4 ) )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl969]) ).
thf(zip_derived_cl9360,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl5852]) ).
thf('2',plain,
( ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9360]) ).
thf(ax26,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e4
= ( op @ e2 @ e2 ) )
& ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl291,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf('3',plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl291]) ).
thf(zip_derived_cl3,plain,
( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl409,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1,plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl399,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl90,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1605,plain,
( ( ( op @ e4 @ e1 )
!= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl90]) ).
thf(zip_derived_cl1964,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl1605]) ).
thf('4',plain,
( ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1964]) ).
thf(ax3,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) )
& ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 ) )
& ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) )
& ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 ) )
& ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) )
& ( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) )
& ( ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) )
& ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) )
& ( ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 ) )
& ( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 ) )
& ( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 ) )
& ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) )
& ( ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) )
& ( ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 ) )
& ( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
& ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
& ( ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
& ( ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
& ( ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zip_derived_cl60,plain,
( ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('5',plain,
( ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl517_003,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1437,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl454,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( ( op @ e2 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2838,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl114]) ).
thf(zip_derived_cl6397,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e2 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl2838]) ).
thf('6',plain,
( ( ( op @ e2 @ e2 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6397]) ).
thf(zip_derived_cl444,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl394,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137,plain,
( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2478,plain,
( ( ( op @ e2 @ e4 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl137]) ).
thf(zip_derived_cl2624,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl2478]) ).
thf('7',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2624]) ).
thf(zip_derived_cl16,plain,
( ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl475,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl15,plain,
( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl470,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl116,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3387,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl116]) ).
thf(zip_derived_cl4342,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e3 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl3387]) ).
thf('8',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4342]) ).
thf(zip_derived_cl13,plain,
( ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl461,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl11,plain,
( ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl451,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl110,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2774,plain,
( ( ( op @ e2 @ e1 )
!= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl110]) ).
thf(zip_derived_cl3155,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl2774]) ).
thf('9',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3155]) ).
thf(ax16,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e2
= ( op @ e1 @ e1 ) )
& ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl281,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e2
!= ( op @ e1 @ e1 ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf('10',plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl17,plain,
( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl481,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl18,plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl484,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl986,plain,
( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5868,plain,
( ( e4
!= ( op @ e1 @ e2 ) )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl986]) ).
thf(zip_derived_cl9425,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl5868]) ).
thf('11',plain,
( ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9425]) ).
thf(zip_derived_cl410,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl481_004,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl484_005,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl985,plain,
( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl6090,plain,
( ( e3
!= ( op @ ( op @ e1 @ e2 ) @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl985]) ).
thf(zip_derived_cl10620,plain,
( ( e3
!= ( op @ e4 @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl6090]) ).
thf(zip_derived_cl11799,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl10620]) ).
thf('12',plain,
( ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11799]) ).
thf(zip_derived_cl476,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl475_006,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3627,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl475]) ).
thf(ax5,axiom,
( ( e3 != e4 )
& ( e2 != e4 )
& ( e2 != e3 )
& ( e1 != e4 )
& ( e1 != e3 )
& ( e1 != e2 )
& ( e0 != e4 )
& ( e0 != e3 )
& ( e0 != e2 )
& ( e0 != e1 ) ) ).
thf(zip_derived_cl186,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('13',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3627,zip_derived_cl186]) ).
thf(zip_derived_cl19,plain,
( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl491,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl487,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4068,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl487]) ).
thf(zip_derived_cl192,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('14',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4068,zip_derived_cl192]) ).
thf(zip_derived_cl476_007,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl473,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3625,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl473]) ).
thf(zip_derived_cl189,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('15',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3625,zip_derived_cl189]) ).
thf(ax22,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e3
= ( op @ e1 @ e1 ) )
& ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl287,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ e1 @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf('16',plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zip_derived_cl409_008,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl476_009,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl485,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1008,plain,
( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zip_derived_cl6109,plain,
( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl1008]) ).
thf(zip_derived_cl10762,plain,
( ( e2
!= ( op @ e4 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl6109]) ).
thf(zip_derived_cl12070,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl10762]) ).
thf('17',plain,
( ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12070]) ).
thf(zip_derived_cl443,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl399_010,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax13,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e2
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl278,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e2
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl972,plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl6079,plain,
( ( e1
!= ( op @ ( op @ e4 @ e3 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl972]) ).
thf(zip_derived_cl10555,plain,
( ( e1
!= ( op @ e2 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl6079]) ).
thf(zip_derived_cl11664,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl10555]) ).
thf('18',plain,
( ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11664]) ).
thf(zip_derived_cl399_011,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395_012,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax9,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e1
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl274,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e1
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl957,plain,
( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl5827,plain,
( ( e2
!= ( op @ e4 @ e3 ) )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl957]) ).
thf(zip_derived_cl9245,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl5827]) ).
thf('19',plain,
( ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9245]) ).
thf(ax19,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e3
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl284,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e3
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf('20',plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e3 )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl476_013,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl485_014,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl986_015,plain,
( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5869,plain,
( ( e4
!= ( op @ e1 @ e3 ) )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl986]) ).
thf(zip_derived_cl9433,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl5869]) ).
thf('21',plain,
( ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9433]) ).
thf(ax21,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e3
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl286,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e3
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf('22',plain,
( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e3 )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
thf(zip_derived_cl469,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl398,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395_016,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax7,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e1
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl272,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e1
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl949,plain,
( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl6043,plain,
( ( e2
!= ( op @ ( op @ e4 @ e3 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl949]) ).
thf(zip_derived_cl10296,plain,
( ( e2
!= ( op @ e1 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl6043]) ).
thf(zip_derived_cl11182,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl10296]) ).
thf('23',plain,
( ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11182]) ).
thf(zip_derived_cl398_017,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395_018,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax15,axiom,
~ ( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e2
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl280,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e2
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl980,plain,
( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl5857,plain,
( ( e1
!= ( op @ e4 @ e3 ) )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl980]) ).
thf(zip_derived_cl9382,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl5857]) ).
thf('24',plain,
( ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9382]) ).
thf('25',plain,
( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl451_019,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl455,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax10,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e1
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl275,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl962,plain,
( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5839,plain,
( ( e4
!= ( op @ e2 @ e3 ) )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl962]) ).
thf(zip_derived_cl9295,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl5839]) ).
thf('26',plain,
( ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9295]) ).
thf(zip_derived_cl2,plain,
( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl403,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl451_020,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl455_021,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1000_022,plain,
( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl6103,plain,
( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl1000]) ).
thf(zip_derived_cl10719,plain,
( ( e1
!= ( op @ e4 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl6103]) ).
thf(zip_derived_cl12000,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl10719]) ).
thf('27',plain,
( ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e3 )
!= e4 )
| ( ( op @ e4 @ e2 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12000]) ).
thf(zip_derived_cl481_023,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl476_024,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl118,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3620,plain,
( ( ( op @ e1 @ e2 )
!= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl118]) ).
thf(zip_derived_cl4970,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl3620]) ).
thf('28',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4970]) ).
thf(zip_derived_cl5,plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl417,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl395_025,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl947,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5803,plain,
( ( e0
!= ( op @ e3 @ e4 ) )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl947]) ).
thf(zip_derived_cl9138,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl5803]) ).
thf('29',plain,
( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9138]) ).
thf(zip_derived_cl21,plain,
( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl501,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl517_026,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1434,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl126,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6198,plain,
( ( ( op @ e0 @ e3 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl126]) ).
thf(zip_derived_cl6307,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e3 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl6198]) ).
thf('30',plain,
( ( ( op @ e0 @ e3 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6307]) ).
thf(zip_derived_cl8,plain,
( ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl434,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl470_027,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl486,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1008_028,plain,
( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zip_derived_cl6110,plain,
( ( e2
!= ( op @ ( op @ e1 @ e4 ) @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl1008]) ).
thf(zip_derived_cl10771,plain,
( ( e2
!= ( op @ e3 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl6110]) ).
thf(zip_derived_cl12089,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl10771]) ).
thf('31',plain,
( ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12089]) ).
thf(zip_derived_cl470_029,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl486_030,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(ax18,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e2
= ( op @ e1 @ e1 ) )
& ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl283,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e2
!= ( op @ e1 @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl993,plain,
( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl5882,plain,
( ( e3
!= ( op @ e1 @ e4 ) )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl993]) ).
thf(zip_derived_cl9498,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl5882]) ).
thf('32',plain,
( ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9498]) ).
thf(zip_derived_cl460,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl410_031,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl167,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3420,plain,
( ( ( op @ e2 @ e1 )
!= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl167]) ).
thf(zip_derived_cl4496,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl3420]) ).
thf('33',plain,
( ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4496]) ).
thf(zip_derived_cl480,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl455_032,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl161,plain,
( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3177,plain,
( ( ( op @ e1 @ e2 )
!= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl161]) ).
thf(zip_derived_cl3934,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl3177]) ).
thf('34',plain,
( ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3934]) ).
thf(zip_derived_cl409_033,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl491_034,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1008_035,plain,
( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
thf(zip_derived_cl6106,plain,
( ( e2
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1008]) ).
thf(zip_derived_cl10739,plain,
( ( e2
!= ( op @ e4 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl6106]) ).
thf(zip_derived_cl12036,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl10739]) ).
thf('35',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12036]) ).
thf(zip_derived_cl434_036,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl490,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl6106_037,plain,
( ( e2
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1008]) ).
thf(zip_derived_cl10738,plain,
( ( e2
!= ( op @ e3 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl6106]) ).
thf(zip_derived_cl12030,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl10738]) ).
thf('36',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12030]) ).
thf(ax106,axiom,
~ ( ( e4
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl371,plain,
( ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax106]) ).
thf('37',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl22,plain,
( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl506,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl519,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_038,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1452,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl162,plain,
( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6983,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl162]) ).
thf(zip_derived_cl7175,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e2 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl6983]) ).
thf('38',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7175]) ).
thf(ax82,axiom,
~ ( ( e3
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl347,plain,
( ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf('39',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl6,plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf('40',plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl436,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl480_039,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl484_040,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl994,plain,
( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl6096,plain,
( ( e4
!= ( op @ ( op @ e1 @ e2 ) @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl994]) ).
thf(zip_derived_cl10662,plain,
( ( e4
!= ( op @ e3 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl6096]) ).
thf(zip_derived_cl11881,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e4 )
& ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl10662]) ).
thf('41',plain,
( ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e1 @ e2 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11881]) ).
thf(zip_derived_cl480_041,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl484_042,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl993_043,plain,
( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl5880,plain,
( ( e3
!= ( op @ e1 @ e2 ) )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl993]) ).
thf(zip_derived_cl9481,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl5880]) ).
thf('42',plain,
( ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9481]) ).
thf(zip_derived_cl457,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl484_044,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl983,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5862,plain,
( ( e0
!= ( op @ e2 @ e1 ) )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl983]) ).
thf(zip_derived_cl9389,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl5862]) ).
thf('43',plain,
( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9389]) ).
thf('44',plain,
( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e2 )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl398_045,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl393,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1533,plain,
( ( ( op @ e4 @ e3 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl86]) ).
thf(zip_derived_cl1758,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl1533]) ).
thf('45',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1758]) ).
thf(zip_derived_cl23,plain,
( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl509,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl517_046,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1438,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl131,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6440,plain,
( ( ( op @ e0 @ e1 )
!= e2 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1438,zip_derived_cl131]) ).
thf(zip_derived_cl6540,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e1 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl6440]) ).
thf('46',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6540]) ).
thf(zip_derived_cl517_047,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1435,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl425,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2013,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl103]) ).
thf(zip_derived_cl6276,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl2013]) ).
thf('47',plain,
( ( ( op @ e3 @ e3 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6276]) ).
thf(zip_derived_cl1434_048,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl20,plain,
( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl495,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl6205,plain,
( ( e4 = e3 )
<= ( ( ( op @ e0 @ e4 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl495]) ).
thf(zip_derived_cl186_049,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('48',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6205,zip_derived_cl186]) ).
thf(zip_derived_cl404,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_050,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl87,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1539,plain,
( ( ( op @ e4 @ e2 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl87]) ).
thf(zip_derived_cl1790,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl1539]) ).
thf('49',plain,
( ( ( op @ e4 @ e2 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1790]) ).
thf(zip_derived_cl456_051,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl446,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl107,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2684,plain,
( ( ( op @ e2 @ e2 )
!= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl107]) ).
thf(zip_derived_cl2908,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl2684]) ).
thf('50',plain,
( ( ( op @ e2 @ e4 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2908]) ).
thf(zip_derived_cl456_052,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl406,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl157,plain,
( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3012,plain,
( ( ( op @ e2 @ e2 )
!= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl157]) ).
thf(zip_derived_cl3742,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl3012]) ).
thf('51',plain,
( ( ( op @ e4 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3742]) ).
thf(ax6,axiom,
( ( ( ( op @ e0 @ e0 )
= e0 )
& ( ( op @ e0 @ e0 )
= e0 )
& ( ( op @ e0 @ e0 )
!= e0 ) )
| ( ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
!= e0 ) )
| ( ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
!= e0 ) )
| ( ( ( op @ e0 @ e0 )
= e3 )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e3 )
!= e0 ) )
| ( ( ( op @ e0 @ e0 )
= e4 )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
!= e0 ) )
| ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e1 @ e0 )
!= e1 ) )
| ( ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
!= e1 ) )
| ( ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
!= e1 ) )
| ( ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
!= e1 ) )
| ( ( ( op @ e1 @ e1 )
= e4 )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
!= e1 ) )
| ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e2 @ e0 )
!= e2 ) )
| ( ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e2 @ e1 )
!= e2 ) )
| ( ( ( op @ e2 @ e2 )
= e2 )
& ( ( op @ e2 @ e2 )
= e2 )
& ( ( op @ e2 @ e2 )
!= e2 ) )
| ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e3 )
!= e2 ) )
| ( ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e4 )
!= e2 ) )
| ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e0 )
= e3 )
& ( ( op @ e3 @ e0 )
!= e3 ) )
| ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e3 @ e1 )
!= e3 ) )
| ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e3 @ e2 )
!= e3 ) )
| ( ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e3 @ e3 )
!= e3 ) )
| ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e4 )
!= e3 ) )
| ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e0 )
= e4 )
& ( ( op @ e4 @ e0 )
!= e4 ) )
| ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e1 )
= e4 )
& ( ( op @ e4 @ e1 )
!= e4 ) )
| ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e4 @ e2 )
!= e4 ) )
| ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e4 @ e3 )
!= e4 ) )
| ( ( ( op @ e4 @ e4 )
= e4 )
& ( ( op @ e4 @ e4 )
= e4 )
& ( ( op @ e4 @ e4 )
!= e4 ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_14
=> ( ( ( op @ e2 @ e4 )
!= e2 )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ) ).
thf(zip_derived_cl238,plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ~ zip_tseitin_14 ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(ax28,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e4
= ( op @ e1 @ e1 ) )
& ( e2
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl293,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e4
!= ( op @ e1 @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf('53',plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e4 )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl461_053,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl456_054,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl111,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2893,plain,
( ( ( op @ e2 @ e1 )
!= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl111]) ).
thf(zip_derived_cl3503,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl2893]) ).
thf('54',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3503]) ).
thf(zip_derived_cl457_055,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl407,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl167_056,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3417,plain,
( ( ( op @ e2 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl167]) ).
thf(zip_derived_cl4423,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl3417]) ).
thf('55',plain,
( ( ( op @ e2 @ e1 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4423]) ).
thf(zip_derived_cl494,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl397,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6043_057,plain,
( ( e2
!= ( op @ ( op @ e4 @ e3 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl949]) ).
thf(zip_derived_cl10295,plain,
( ( e2
!= ( op @ e0 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl6043]) ).
thf(zip_derived_cl11174,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl10295]) ).
thf('56',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11174]) ).
thf(zip_derived_cl418,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl395_058,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax31,axiom,
~ ( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl296,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl1044,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl5899,plain,
( ( e1
!= ( op @ e3 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl1044]) ).
thf(zip_derived_cl9577,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl5899]) ).
thf('57',plain,
( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9577]) ).
thf(zip_derived_cl447,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl442,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl106,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2559,plain,
( ( ( op @ e2 @ e3 )
!= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl106]) ).
thf(zip_derived_cl2718,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl2559]) ).
thf('58',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2718]) ).
thf(zip_derived_cl442_059,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl417_060,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl138,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2530,plain,
( ( ( op @ e2 @ e4 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl138]) ).
thf(zip_derived_cl2636,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl2530]) ).
thf('59',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2636]) ).
thf(zip_derived_cl427,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl417_061,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl97,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1735,plain,
( ( ( op @ e3 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl97]) ).
thf(zip_derived_cl2166,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl1735]) ).
thf('60',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2166]) ).
thf(zip_derived_cl418_062,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl417_063,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1773,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl417]) ).
thf(zip_derived_cl195,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('61',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1773,zip_derived_cl195]) ).
thf(zip_derived_cl24,plain,
( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl514,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4,plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl414,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl182,plain,
( ( op @ e0 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3976,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl182]) ).
thf(zip_derived_cl5382,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl3976]) ).
thf('62',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e4 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5382]) ).
thf(ax45,axiom,
~ ( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e3
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl310,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e3
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax45]) ).
thf('63',plain,
( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e3 )
| ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl14,plain,
( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl466,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl456_064,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114_065,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2894,plain,
( ( ( op @ e2 @ e0 )
!= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl114]) ).
thf(zip_derived_cl3509,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl2894]) ).
thf('64',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3509]) ).
thf(zip_derived_cl469_066,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl486_067,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(ax24,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e3
= ( op @ e1 @ e1 ) )
& ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl289,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ e1 @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl1016,plain,
( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl5894,plain,
( ( e2
!= ( op @ e1 @ e4 ) )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl1016]) ).
thf(zip_derived_cl9554,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl5894]) ).
thf('65',plain,
( ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9554]) ).
thf(zip_derived_cl460_068,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl469_069,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl486_070,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl985_071,plain,
( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl6092,plain,
( ( e3
!= ( op @ ( op @ e1 @ e4 ) @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl985]) ).
thf(zip_derived_cl10641,plain,
( ( e3
!= ( op @ e2 @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl6092]) ).
thf(zip_derived_cl11832,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl10641]) ).
thf('66',plain,
( ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e2 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11832]) ).
thf(zip_derived_cl407_072,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl486_073,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl983_074,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5864,plain,
( ( e0
!= ( op @ e4 @ e1 ) )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl983]) ).
thf(zip_derived_cl9405,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl5864]) ).
thf('67',plain,
( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e4 @ e1 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9405]) ).
thf(zip_derived_cl1434_075,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl493,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl6203,plain,
( ( e4 = e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl493]) ).
thf(zip_derived_cl189_076,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('68',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6203,zip_derived_cl189]) ).
thf(zip_derived_cl481_077,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl448,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl455_078,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl970,plain,
( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl6073,plain,
( ( e4
!= ( op @ ( op @ e2 @ e3 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl970]) ).
thf(zip_derived_cl10498,plain,
( ( e4
!= ( op @ e1 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl6073]) ).
thf(zip_derived_cl11575,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl10498]) ).
thf('69',plain,
( ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11575]) ).
thf(zip_derived_cl448_079,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl455_080,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax23,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e3
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl288,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl1012,plain,
( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl288]) ).
thf(zip_derived_cl5887,plain,
( ( e1
!= ( op @ e2 @ e3 ) )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl1012]) ).
thf(zip_derived_cl9512,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl5887]) ).
thf('70',plain,
( ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9512]) ).
thf(zip_derived_cl427_081,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl455_082,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl959,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5833,plain,
( ( e0
!= ( op @ e3 @ e2 ) )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl959]) ).
thf(zip_derived_cl9259,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl5833]) ).
thf('71',plain,
( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9259]) ).
thf(zip_derived_cl1437_083,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl463,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl6381,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1437,zip_derived_cl463]) ).
thf(zip_derived_cl191,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('72',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6381,zip_derived_cl191]) ).
thf(zip_derived_cl434_084,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl485_085,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(ax58,axiom,
~ ( ( e2
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl323,plain,
( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(zip_derived_cl1152,plain,
( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zip_derived_cl5971,plain,
( ( e2
!= ( op @ e3 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl1152]) ).
thf(zip_derived_cl9903,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl5971]) ).
thf('73',plain,
( ( e2
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9903]) ).
thf(ax71,axiom,
~ ( ( e2
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e3
= ( op @ e1 @ e1 ) )
& ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e0
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl336,plain,
( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ e1 @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax71]) ).
thf('74',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl336]) ).
thf(zip_derived_cl472,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl485_086,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1203,plain,
( ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl336]) ).
thf(zip_derived_cl5983,plain,
( ( e0
!= ( op @ e1 @ e3 ) )
<= ( ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl1203]) ).
thf(zip_derived_cl9958,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl5983]) ).
thf('75',plain,
( ( e0
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9958]) ).
thf(zip_derived_cl511,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl472_087,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl485_088,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl994_089,plain,
( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl6097,plain,
( ( e4
!= ( op @ ( op @ e1 @ e3 ) @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl994]) ).
thf(zip_derived_cl10669,plain,
( ( e4
!= ( op @ e0 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl6097]) ).
thf(zip_derived_cl11897,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl10669]) ).
thf('76',plain,
( ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e0 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11897]) ).
thf(zip_derived_cl519_090,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_091,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1454,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl428_092,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7082,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1454,zip_derived_cl428]) ).
thf(zip_derived_cl190,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('77',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7082,zip_derived_cl190]) ).
thf(zip_derived_cl491_093,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl416,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl179,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3873,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl179]) ).
thf(zip_derived_cl5270,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3873]) ).
thf('78',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5270]) ).
thf('79',plain,
( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl288]) ).
thf(zip_derived_cl485_094,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl435,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl170,plain,
( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3540,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl170]) ).
thf(zip_derived_cl4849,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3540]) ).
thf('80',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4849]) ).
thf(zip_derived_cl485_095,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl475_096,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl120,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3581,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl120]) ).
thf(zip_derived_cl4921,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3581]) ).
thf('81',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4921]) ).
thf(zip_derived_cl485_097,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl483,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3963,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl483]) ).
thf(zip_derived_cl190_098,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('82',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3963,zip_derived_cl190]) ).
thf(zip_derived_cl461_099,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl474,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl6097_100,plain,
( ( e4
!= ( op @ ( op @ e1 @ e3 ) @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl994]) ).
thf(zip_derived_cl10671,plain,
( ( e4
!= ( op @ e2 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl6097]) ).
thf(zip_derived_cl11911,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e2 @ e1 )
= e4 )
& ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10671]) ).
thf('83',plain,
( ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e2 )
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11911]) ).
thf(zip_derived_cl432,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl485_101,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl983_102,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5863,plain,
( ( e0
!= ( op @ e3 @ e1 ) )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl983]) ).
thf(zip_derived_cl9397,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl5863]) ).
thf('84',plain,
( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9397]) ).
thf(zip_derived_cl474_103,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl485_104,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1016_105,plain,
( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl5893,plain,
( ( e2
!= ( op @ e1 @ e3 ) )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl1016]) ).
thf(zip_derived_cl9546,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl5893]) ).
thf('85',plain,
( ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9546]) ).
thf(zip_derived_cl469_106,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl468,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3348,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl468]) ).
thf(zip_derived_cl191_107,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('86',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3348,zip_derived_cl191]) ).
thf(zip_derived_cl475_108,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl473_109,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3585,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl475,zip_derived_cl473]) ).
thf(zip_derived_cl190_110,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('87',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3585,zip_derived_cl190]) ).
thf(zip_derived_cl481_111,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl478,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3822,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl478]) ).
thf(zip_derived_cl189_112,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('88',plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3822,zip_derived_cl189]) ).
thf('89',plain,
( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e3 )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl486_113,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl411,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl169,plain,
( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3498,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl169]) ).
thf(zip_derived_cl4758,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
= e4 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl3498]) ).
thf('90',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4758]) ).
thf(zip_derived_cl486_114,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl483_115,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3982,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl483]) ).
thf(zip_derived_cl189_116,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('91',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3982,zip_derived_cl189]) ).
thf(zip_derived_cl482_117,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl407_118,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl169_119,plain,
( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3494,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl169]) ).
thf(zip_derived_cl4714,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl3494]) ).
thf('92',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4714]) ).
thf(zip_derived_cl400,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395_120,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86_121,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1552,plain,
( ( ( op @ e4 @ e3 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl86]) ).
thf(zip_derived_cl1812,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl1552]) ).
thf('93',plain,
( ( ( op @ e4 @ e3 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1812]) ).
thf(zip_derived_cl436_122,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl426,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl100,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2051,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl100]) ).
thf(zip_derived_cl2372,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl2051]) ).
thf('94',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2372]) ).
thf(zip_derived_cl402,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl397_123,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl88,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1588,plain,
( ( ( op @ e4 @ e2 )
!= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl88]) ).
thf(zip_derived_cl1900,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl1588]) ).
thf('95',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1900]) ).
thf(zip_derived_cl491_124,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl488,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4069,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl488]) ).
thf(zip_derived_cl189_125,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('96',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4069,zip_derived_cl189]) ).
thf(zip_derived_cl485_126,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl480_127,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl121,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3781,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl121]) ).
thf(zip_derived_cl5137,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3781]) ).
thf('97',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5137]) ).
thf(ax80,axiom,
~ ( ( e3
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl345,plain,
( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax80]) ).
thf('98',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl403_128,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl466_129,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1000_130,plain,
( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl6100,plain,
( ( e1
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1000]) ).
thf(zip_derived_cl10696,plain,
( ( e1
!= ( op @ e4 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl6100]) ).
thf(zip_derived_cl11955,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl10696]) ).
thf('99',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11955]) ).
thf(zip_derived_cl9,plain,
( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl441,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl431,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl104,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2193,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl104]) ).
thf(zip_derived_cl2520,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl2193]) ).
thf('100',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2520]) ).
thf(zip_derived_cl493_131,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl418_132,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl143,plain,
( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2710,plain,
( ( ( op @ e0 @ e4 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl143]) ).
thf(zip_derived_cl4135,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl2710]) ).
thf('101',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4135]) ).
thf(zip_derived_cl447_133,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl397_134,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl147,plain,
( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2763,plain,
( ( ( op @ e2 @ e3 )
!= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl147]) ).
thf(zip_derived_cl3096,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e2 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl2763]) ).
thf('102',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3096]) ).
thf(zip_derived_cl415,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl413,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1718,plain,
( ( e3 = e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl415,zip_derived_cl413]) ).
thf(zip_derived_cl190_135,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('103',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1718,zip_derived_cl190]) ).
thf(zip_derived_cl517_136,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1464,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl33]) ).
thf(zip_derived_cl458,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl174,plain,
( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3685,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl174]) ).
thf(zip_derived_cl7368,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1464,zip_derived_cl3685]) ).
thf('104',plain,
( ( ( op @ e2 @ e1 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7368]) ).
thf(zip_derived_cl1437_137,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl459,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl115,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2958,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl115]) ).
thf(zip_derived_cl6402,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl2958]) ).
thf('105',plain,
( ( ( op @ e2 @ e1 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6402]) ).
thf(zip_derived_cl486_138,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl461_139,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl171,plain,
( ( op @ e1 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3573,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl171]) ).
thf(zip_derived_cl4910,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e1 )
= e4 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl3573]) ).
thf('106',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4910]) ).
thf(zip_derived_cl443_140,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl393_141,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137_142,plain,
( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2477,plain,
( ( ( op @ e2 @ e4 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl137]) ).
thf(zip_derived_cl2609,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl2477]) ).
thf('107',plain,
( ( ( op @ e4 @ e4 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2609]) ).
thf('108',plain,
( ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl428_143,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl465,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl6100_144,plain,
( ( e1
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1000]) ).
thf(zip_derived_cl10695,plain,
( ( e1
!= ( op @ e3 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl6100]) ).
thf(zip_derived_cl11948,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl10695]) ).
thf('109',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11948]) ).
thf(ax104,axiom,
~ ( ( e4
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e1
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl369,plain,
( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax104]) ).
thf('110',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl448_145,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl443_146,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl106_147,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2593,plain,
( ( ( op @ e2 @ e3 )
!= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl106]) ).
thf(zip_derived_cl2732,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl2593]) ).
thf('111',plain,
( ( ( op @ e2 @ e3 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2732]) ).
thf(zip_derived_cl451_148,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl426_149,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl148,plain,
( ( op @ e2 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2792,plain,
( ( ( op @ e2 @ e3 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl148]) ).
thf(zip_derived_cl3234,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl2792]) ).
thf('112',plain,
( ( ( op @ e2 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3234]) ).
thf(zip_derived_cl428_150,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl403_151,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl156,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2973,plain,
( ( ( op @ e3 @ e2 )
!= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl156]) ).
thf(zip_derived_cl3669,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl2973]) ).
thf('113',plain,
( ( ( op @ e3 @ e2 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3669]) ).
thf(zip_derived_cl405,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl395_152,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl87_153,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1553,plain,
( ( ( op @ e4 @ e2 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl87]) ).
thf(zip_derived_cl1818,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl1553]) ).
thf('114',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(zip_derived_cl462,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_154,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114_155,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2800,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl114]) ).
thf(zip_derived_cl3242,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl2800]) ).
thf('115',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3242]) ).
thf(zip_derived_cl502,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl452_156,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl164,plain,
( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3298,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl164]) ).
thf(zip_derived_cl4484,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl3298]) ).
thf('116',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4484]) ).
thf(zip_derived_cl484_157,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl483_158,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3940,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl484,zip_derived_cl483]) ).
thf(zip_derived_cl191_159,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('117',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3940,zip_derived_cl191]) ).
thf(zip_derived_cl478_160,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl453,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl161_161,plain,
( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3175,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl161]) ).
thf(zip_derived_cl3920,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl3175]) ).
thf('118',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3920]) ).
thf(zip_derived_cl501_162,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl432_163,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl423,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax11,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e1
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl276,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl966,plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl6065,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl966]) ).
thf(zip_derived_cl10444,plain,
( ( e4
!= ( op @ e0 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6065]) ).
thf(zip_derived_cl11467,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl10444]) ).
thf('119',plain,
( ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11467]) ).
thf(zip_derived_cl474_164,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl423_165,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax56,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl321,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax56]) ).
thf(zip_derived_cl1145,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl5963,plain,
( ( e2
!= ( op @ e1 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl1145]) ).
thf(zip_derived_cl9870,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl5963]) ).
thf('120',plain,
( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9870]) ).
thf(zip_derived_cl498,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl423_166,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl153,plain,
( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2916,plain,
( ( ( op @ e0 @ e3 )
!= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl153]) ).
thf(zip_derived_cl4326,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl2916]) ).
thf('121',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4326]) ).
thf(zip_derived_cl436_167,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl490_168,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_169,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl994_170,plain,
( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl6094,plain,
( ( e4
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl994]) ).
thf(zip_derived_cl10652,plain,
( ( e4
!= ( op @ e3 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl6094]) ).
thf(zip_derived_cl11857,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e3 @ e1 )
= e4 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl10652]) ).
thf('122',plain,
( ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11857]) ).
thf(zip_derived_cl490_171,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_172,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl993_173,plain,
( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl283]) ).
thf(zip_derived_cl5878,plain,
( ( e3
!= ( op @ e1 @ e0 ) )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl993]) ).
thf(zip_derived_cl9473,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl5878]) ).
thf('123',plain,
( ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9473]) ).
thf(zip_derived_cl506_174,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl501_175,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl128,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4441,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl128]) ).
thf(zip_derived_cl5696,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e3 )
= e4 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl4441]) ).
thf('124',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5696]) ).
thf(zip_derived_cl509_176,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl434_177,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl173,plain,
( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3653,plain,
( ( ( op @ e0 @ e1 )
!= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl173]) ).
thf(zip_derived_cl5004,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl3653]) ).
thf('125',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5004]) ).
thf(zip_derived_cl513,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl463_178,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl184,plain,
( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4008,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl184]) ).
thf(zip_derived_cl5447,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl4008]) ).
thf('126',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5447]) ).
thf(ax60,axiom,
~ ( ( e2
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e3
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl325,plain,
( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax60]) ).
thf('127',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl514_179,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl439,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl183,plain,
( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3997,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl183]) ).
thf(zip_derived_cl5424,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl3997]) ).
thf('128',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5424]) ).
thf(zip_derived_cl452_180,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl447_181,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl108,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2714,plain,
( ( ( op @ e2 @ e2 )
!= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl108]) ).
thf(zip_derived_cl2920,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl2714]) ).
thf('129',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2920]) ).
thf(zip_derived_cl434_182,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl424,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl100_183,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1975,plain,
( ( ( op @ e3 @ e1 )
!= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl100]) ).
thf(zip_derived_cl2334,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl1975]) ).
thf('130',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2334]) ).
thf(zip_derived_cl439_184,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl424_185,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103_186,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1976,plain,
( ( ( op @ e3 @ e0 )
!= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl103]) ).
thf(zip_derived_cl2418,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl1976]) ).
thf('131',plain,
( ( ( op @ e3 @ e0 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2418]) ).
thf(zip_derived_cl483_187,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl521,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1491,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl119,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8483,plain,
( ( ( op @ e1 @ e1 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl119]) ).
thf(zip_derived_cl8988,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl8483]) ).
thf('132',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8988]) ).
thf(zip_derived_cl521_188,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_189,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1489,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl443_190,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl8366,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl443]) ).
thf(zip_derived_cl191_191,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('133',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8366,zip_derived_cl191]) ).
thf(ax65,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e1
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl330,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax65]) ).
thf('134',plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl330]) ).
thf(zip_derived_cl431_192,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl426_193,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl98,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2050,plain,
( ( ( op @ e3 @ e2 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl98]) ).
thf(zip_derived_cl2366,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl2050]) ).
thf('135',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2366]) ).
thf(zip_derived_cl415_194,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl395_195,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl92_196,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1566,plain,
( ( ( op @ e4 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl92]) ).
thf(zip_derived_cl1860,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl1566]) ).
thf('136',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1860]) ).
thf(ax69,axiom,
~ ( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e3
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl334,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e3
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax69]) ).
thf('137',plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e3 )
| ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl493_197,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl397_198,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6079_199,plain,
( ( e1
!= ( op @ ( op @ e4 @ e3 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl972]) ).
thf(zip_derived_cl10553,plain,
( ( e1
!= ( op @ e0 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl6079]) ).
thf(zip_derived_cl11647,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl10553]) ).
thf('138',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11647]) ).
thf(zip_derived_cl439_200,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl414_201,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl176,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3754,plain,
( ( ( op @ e3 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl176]) ).
thf(zip_derived_cl5118,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl3754]) ).
thf('139',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5118]) ).
thf(zip_derived_cl498_202,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl448_203,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl154,plain,
( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2935,plain,
( ( ( op @ e0 @ e3 )
!= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl154]) ).
thf(zip_derived_cl4331,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl2935]) ).
thf('140',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4331]) ).
thf(zip_derived_cl397_204,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl395_205,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax39,axiom,
~ ( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e2
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl304,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e2
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax39]) ).
thf(zip_derived_cl1075,plain,
( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl5917,plain,
( ( e0
!= ( op @ e4 @ e3 ) )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl1075]) ).
thf(zip_derived_cl9648,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl5917]) ).
thf('141',plain,
( ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9648]) ).
thf(ax53,axiom,
~ ( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e4
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl318,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax53]) ).
thf('142',plain,
( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e4 )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl505,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl442_206,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl456_207,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl961,plain,
( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl6062,plain,
( ( e3
!= ( op @ ( op @ e2 @ e4 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl961]) ).
thf(zip_derived_cl10424,plain,
( ( e3
!= ( op @ e0 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6062]) ).
thf(zip_derived_cl11416,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl10424]) ).
thf('143',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e4 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11416]) ).
thf(zip_derived_cl442_208,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl456_209,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax47,axiom,
~ ( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e3
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl312,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax47]) ).
thf(zip_derived_cl1107,plain,
( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf(zip_derived_cl5948,plain,
( ( e0
!= ( op @ e2 @ e4 ) )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl1107]) ).
thf(zip_derived_cl9795,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl5948]) ).
thf('144',plain,
( ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e4 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9795]) ).
thf(zip_derived_cl399_210,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl426_211,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1145_212,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl5966,plain,
( ( e2
!= ( op @ e4 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl1145]) ).
thf(zip_derived_cl9878,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl5966]) ).
thf('145',plain,
( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9878]) ).
thf(zip_derived_cl498_213,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl417_214,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl426_215,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax14,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e2
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl279,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl976,plain,
( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl6086,plain,
( ( e1
!= ( op @ ( op @ e3 @ e4 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl976]) ).
thf(zip_derived_cl10596,plain,
( ( e1
!= ( op @ e0 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl6086]) ).
thf(zip_derived_cl11730,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl10596]) ).
thf('146',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11730]) ).
thf(zip_derived_cl499,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl494_216,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl126_217,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4151,plain,
( ( ( op @ e0 @ e3 )
!= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl126]) ).
thf(zip_derived_cl5550,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e4 )
= e2 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl4151]) ).
thf('147',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5550]) ).
thf(zip_derived_cl419,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl417_218,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1804,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl417]) ).
thf(zip_derived_cl194,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('148',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1804,zip_derived_cl194]) ).
thf(ax75,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e4
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl340,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax75]) ).
thf('149',plain,
( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf(zip_derived_cl505_219,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl503,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl4592,plain,
( ( e3 = e1 )
<= ( ( ( op @ e0 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl505,zip_derived_cl503]) ).
thf(zip_derived_cl190_220,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('150',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4592,zip_derived_cl190]) ).
thf(zip_derived_cl403_221,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl456_222,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(ax34,axiom,
~ ( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl299,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax34]) ).
thf(zip_derived_cl1056,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl5912,plain,
( ( e1
!= ( op @ e4 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl1056]) ).
thf(zip_derived_cl9625,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl5912]) ).
thf('151',plain,
( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e4 @ e2 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9625]) ).
thf(zip_derived_cl419_223,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl395_224,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(ax55,axiom,
~ ( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl320,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl1141,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl5959,plain,
( ( e2
!= ( op @ e3 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl1141]) ).
thf(zip_derived_cl9854,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl5959]) ).
thf('152',plain,
( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9854]) ).
thf(zip_derived_cl1434_225,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl492,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl6202,plain,
( ( e4 = e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl492]) ).
thf(zip_derived_cl192_226,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('153',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6202,zip_derived_cl192]) ).
thf(zip_derived_cl438,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl428_227,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl104_228,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2119,plain,
( ( ( op @ e3 @ e0 )
!= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl104]) ).
thf(zip_derived_cl2406,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl2119]) ).
thf('154',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2406]) ).
thf(zip_derived_cl506_229,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl505_230,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl4621,plain,
( ( e4 = e3 )
<= ( ( ( op @ e0 @ e2 )
= e3 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl505]) ).
thf(zip_derived_cl186_231,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('155',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4621,zip_derived_cl186]) ).
thf(zip_derived_cl510,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl460_232,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl174_233,plain,
( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3687,plain,
( ( ( op @ e0 @ e1 )
!= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl174]) ).
thf(zip_derived_cl5059,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e0 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl3687]) ).
thf('156',plain,
( ( ( op @ e0 @ e1 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5059]) ).
thf(zip_derived_cl457_234,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl452_235,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl111_236,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2799,plain,
( ( ( op @ e2 @ e1 )
!= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl111]) ).
thf(zip_derived_cl3236,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl2799]) ).
thf('157',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3236]) ).
thf(zip_derived_cl500,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl521_237,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1488,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl152,plain,
( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8324,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl152]) ).
thf(zip_derived_cl8897,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e3 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl8324]) ).
thf('158',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8897]) ).
thf(zip_derived_cl521_238,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1506,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl413_239,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl8835,plain,
( ( e0 = e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl413]) ).
thf(zip_derived_cl195_240,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('159',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8835,zip_derived_cl195]) ).
thf(zip_derived_cl430,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl521_241,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_242,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1487,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl97_243,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8260,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl97]) ).
thf(zip_derived_cl8638,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl8260]) ).
thf('160',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8638]) ).
thf(zip_derived_cl521_244,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1493,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl495_245,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl8590,plain,
( ( e0 = e3 )
<= ( ( ( op @ e0 @ e4 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl495]) ).
thf(zip_derived_cl193,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('161',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8590,zip_derived_cl193]) ).
thf(zip_derived_cl521_246,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_247,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1490,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl406_248,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8433,plain,
( ( e2 = e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl406]) ).
thf(zip_derived_cl187,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('162',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8433,zip_derived_cl187]) ).
thf(zip_derived_cl1490_249,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl405_250,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8432,plain,
( ( e2 = e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl405]) ).
thf(zip_derived_cl188,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('163',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8432,zip_derived_cl188]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_11
=> ( ( ( op @ e2 @ e1 )
!= e2 )
& ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ) ).
thf(zip_derived_cl229,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('164',plain,
( ~ zip_tseitin_11
| ( ( op @ e2 @ e1 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_21
=> ( ( ( op @ e4 @ e1 )
!= e4 )
& ( ( op @ e1 @ e1 )
= e4 )
& ( ( op @ e4 @ e4 )
= e1 ) ) ) ).
thf(zip_derived_cl259,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('165',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ~ zip_tseitin_21 ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zip_derived_cl518,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_251,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1443,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl839,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( ( op @ e2 @ e1 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl6719,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
!= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl839]) ).
thf('166',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e1 )
= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6719]) ).
thf(zip_derived_cl418_252,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl393_253,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl136,plain,
( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2428,plain,
( ( ( op @ e3 @ e4 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl136]) ).
thf(zip_derived_cl2570,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl2428]) ).
thf('167',plain,
( ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2570]) ).
thf(zip_derived_cl456_254,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl431_255,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl158,plain,
( ( op @ e2 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3054,plain,
( ( ( op @ e2 @ e2 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl158]) ).
thf(zip_derived_cl3806,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl3054]) ).
thf('168',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3806]) ).
thf(zip_derived_cl428_256,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl418_257,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl97_258,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1770,plain,
( ( ( op @ e3 @ e2 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl97]) ).
thf(zip_derived_cl2188,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl1770]) ).
thf('169',plain,
( ( ( op @ e3 @ e2 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2188]) ).
thf(ax25,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e4
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl290,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf('170',plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e4 )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl419_259,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl426_260,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl965,plain,
( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl5846,plain,
( ( e2
!= ( op @ e3 @ e4 ) )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl965]) ).
thf(zip_derived_cl9326,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl5846]) ).
thf('171',plain,
( ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9326]) ).
thf(zip_derived_cl448_261,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl419_262,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl6086_263,plain,
( ( e1
!= ( op @ ( op @ e3 @ e4 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl976]) ).
thf(zip_derived_cl10598,plain,
( ( e1
!= ( op @ e2 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl6086]) ).
thf(zip_derived_cl11747,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl10598]) ).
thf('172',plain,
( ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e2 @ e3 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11747]) ).
thf(zip_derived_cl486_264,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl436_265,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl170_266,plain,
( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3541,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl170]) ).
thf(zip_derived_cl4856,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e1 )
= e4 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl3541]) ).
thf('173',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4856]) ).
thf(zip_derived_cl411_267,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl407_268,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1698,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e4 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl407]) ).
thf(zip_derived_cl192_269,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('174',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1698,zip_derived_cl192]) ).
thf(zip_derived_cl433,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl432_270,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2237,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl433,zip_derived_cl432]) ).
thf(zip_derived_cl195_271,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('175',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2237,zip_derived_cl195]) ).
thf(zip_derived_cl508,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl507,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4673,plain,
( ( e1 = e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl508,zip_derived_cl507]) ).
thf(zip_derived_cl195_272,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('176',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4673,zip_derived_cl195]) ).
thf(zip_derived_cl509_273,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl507_274,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4701,plain,
( ( e2 = e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl509,zip_derived_cl507]) ).
thf(zip_derived_cl194_275,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('177',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e0 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4701,zip_derived_cl194]) ).
thf(zip_derived_cl511_276,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl507_277,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4739,plain,
( ( e4 = e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl507]) ).
thf(zip_derived_cl192_278,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('178',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( ( op @ e0 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4739,zip_derived_cl192]) ).
thf(zip_derived_cl408,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl407_279,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1680,plain,
( ( e1 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e4 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl408,zip_derived_cl407]) ).
thf(zip_derived_cl195_280,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('179',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1680,zip_derived_cl195]) ).
thf(zip_derived_cl460_281,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl459_282,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2994,plain,
( ( e3 = e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl460,zip_derived_cl459]) ).
thf(zip_derived_cl188_283,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('180',plain,
( ( ( op @ e2 @ e1 )
!= e2 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2994,zip_derived_cl188]) ).
thf(zip_derived_cl460_284,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl458_285,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2993,plain,
( ( e3 = e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl460,zip_derived_cl458]) ).
thf(zip_derived_cl190_286,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('181',plain,
( ( ( op @ e2 @ e1 )
!= e1 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2993,zip_derived_cl190]) ).
thf(zip_derived_cl506_287,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl504,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl4620,plain,
( ( e4 = e2 )
<= ( ( ( op @ e0 @ e2 )
= e2 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl504]) ).
thf(zip_derived_cl187_288,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('182',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4620,zip_derived_cl187]) ).
thf(zip_derived_cl504_289,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl503_290,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl4543,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl191_291,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('183',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4543,zip_derived_cl191]) ).
thf(zip_derived_cl476_292,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl428_293,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl424_294,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl966_295,plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl6066,plain,
( ( e4
!= ( op @ ( op @ e3 @ e2 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl966]) ).
thf(zip_derived_cl10455,plain,
( ( e4
!= ( op @ e1 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6066]) ).
thf(zip_derived_cl11500,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl10455]) ).
thf('184',plain,
( ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11500]) ).
thf(zip_derived_cl428_296,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl424_297,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax17,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e2
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl282,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl988,plain,
( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zip_derived_cl5874,plain,
( ( e1
!= ( op @ e3 @ e2 ) )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl988]) ).
thf(zip_derived_cl9455,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl5874]) ).
thf('185',plain,
( ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9455]) ).
thf(zip_derived_cl448_298,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl398_299,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl147_300,plain,
( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2764,plain,
( ( ( op @ e2 @ e3 )
!= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl147]) ).
thf(zip_derived_cl3103,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl2764]) ).
thf('186',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3103]) ).
thf('187',plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zip_derived_cl436_301,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl431_302,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2192,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl101]) ).
thf(zip_derived_cl2485,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl2192]) ).
thf('188',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2485]) ).
thf(zip_derived_cl476_303,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl451_304,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl151,plain,
( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2858,plain,
( ( ( op @ e1 @ e3 )
!= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl151]) ).
thf(zip_derived_cl3643,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl2858]) ).
thf('189',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3643]) ).
thf(zip_derived_cl471,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl470_305,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3436,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl470]) ).
thf(zip_derived_cl186_306,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('190',plain,
( ( ( op @ e1 @ e4 )
!= e4 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3436,zip_derived_cl186]) ).
thf(zip_derived_cl410_307,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl405_308,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl91,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1656,plain,
( ( ( op @ e4 @ e1 )
!= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl91]) ).
thf(zip_derived_cl2097,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl1656]) ).
thf('191',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2097]) ).
thf(zip_derived_cl432_309,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl427_310,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101_311,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2091,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl101]) ).
thf(zip_derived_cl2390,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl2091]) ).
thf('192',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2390]) ).
thf(zip_derived_cl428_312,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl423_313,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl98_314,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1939,plain,
( ( ( op @ e3 @ e2 )
!= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl98]) ).
thf(zip_derived_cl2298,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl1939]) ).
thf('193',plain,
( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2298]) ).
thf('194',plain,
( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl427_315,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl402_316,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl156_317,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2972,plain,
( ( ( op @ e3 @ e2 )
!= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl156]) ).
thf(zip_derived_cl3662,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl2972]) ).
thf('195',plain,
( ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3662]) ).
thf(zip_derived_cl486_318,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl481_319,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl121_320,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3818,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl121]) ).
thf(zip_derived_cl5186,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl3818]) ).
thf('196',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5186]) ).
thf(zip_derived_cl481_321,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl431_322,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3132,plain,
( ( ( op @ e1 @ e2 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl160]) ).
thf(zip_derived_cl3896,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl3132]) ).
thf('197',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3896]) ).
thf(zip_derived_cl434_323,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl419_324,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl99,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1802,plain,
( ( ( op @ e3 @ e1 )
!= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl99]) ).
thf(zip_derived_cl2265,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl1802]) ).
thf('198',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2265]) ).
thf(zip_derived_cl517_325,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_326,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1447,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl483_327,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3898,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl125]) ).
thf(zip_derived_cl6850,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl3898]) ).
thf('199',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6850]) ).
thf(zip_derived_cl1447_328,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_5
=> ( ( ( op @ e1 @ e0 )
!= e1 )
& ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ) ).
thf(zip_derived_cl211,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl803,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl211]) ).
thf(zip_derived_cl6828,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
!= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl803]) ).
thf('200',plain,
( ( ( op @ e1 @ e0 )
= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6828]) ).
thf(zip_derived_cl1438_329,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl479,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl165,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3746,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl165]) ).
thf(zip_derived_cl6464,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1438,zip_derived_cl3746]) ).
thf('201',plain,
( ( ( op @ e1 @ e2 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6464]) ).
thf(zip_derived_cl1438_330,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl503_331,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl6443,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e2 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1438,zip_derived_cl503]) ).
thf(zip_derived_cl191_332,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('202',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6443,zip_derived_cl191]) ).
thf(zip_derived_cl1438_333,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl502_334,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl6442,plain,
( ( e2 = e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1438,zip_derived_cl502]) ).
thf(zip_derived_cl194_335,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('203',plain,
( ( ( op @ e0 @ e2 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6442,zip_derived_cl194]) ).
thf(zip_derived_cl465_336,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1435_337,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl178,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6260,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl178]) ).
thf(zip_derived_cl6367,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl6260]) ).
thf('204',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6367]) ).
thf(zip_derived_cl511_338,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1434_339,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl129,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6200,plain,
( ( ( op @ e0 @ e1 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl129]) ).
thf(zip_derived_cl6319,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e1 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl6200]) ).
thf('205',plain,
( ( ( op @ e0 @ e1 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6319]) ).
thf(zip_derived_cl491_340,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1433_341,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl179_342,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6162,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl179]) ).
thf(zip_derived_cl6251,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl6162]) ).
thf('206',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6251]) ).
thf(zip_derived_cl466_343,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1433_344,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl177,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6161,plain,
( ( ( op @ e2 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl177]) ).
thf(zip_derived_cl6245,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl6161]) ).
thf('207',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6245]) ).
thf(zip_derived_cl441_345,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1433_346,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl176_347,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6160,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl176]) ).
thf(zip_derived_cl6239,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6160]) ).
thf('208',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6239]) ).
thf(zip_derived_cl1433_348,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl411_349,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl95,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1697,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl95]) ).
thf(zip_derived_cl6188,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl1697]) ).
thf('209',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6188]) ).
thf(zip_derived_cl446_350,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl442_351,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2688,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl446,zip_derived_cl442]) ).
thf(zip_derived_cl192_352,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('210',plain,
( ( ( op @ e2 @ e4 )
!= e4 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2688,zip_derived_cl192]) ).
thf(zip_derived_cl444_353,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl442_354,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2619,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl444,zip_derived_cl442]) ).
thf(zip_derived_cl194_355,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('211',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2619,zip_derived_cl194]) ).
thf(zip_derived_cl443_356,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl418_357,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl138_358,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2531,plain,
( ( ( op @ e2 @ e4 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl138]) ).
thf(zip_derived_cl2641,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl2531]) ).
thf('212',plain,
( ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2641]) ).
thf(zip_derived_cl455_359,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl445_360,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl107_361,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2649,plain,
( ( ( op @ e2 @ e2 )
!= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl107]) ).
thf(zip_derived_cl2881,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl2649]) ).
thf('213',plain,
( ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2881]) ).
thf(zip_derived_cl424_362,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl419_363,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1800,plain,
( ( ( op @ e3 @ e3 )
!= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl96]) ).
thf(zip_derived_cl2207,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1800]) ).
thf('214',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2207]) ).
thf(zip_derived_cl1447_364,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl487_365,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl6824,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1447,zip_derived_cl487]) ).
thf(zip_derived_cl195_366,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('215',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6824,zip_derived_cl195]) ).
thf(zip_derived_cl517_367,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29_368,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1436,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl450,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl154_369,plain,
( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2937,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl154]) ).
thf(zip_derived_cl6343,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl2937]) ).
thf('216',plain,
( ( ( op @ e2 @ e3 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6343]) ).
thf(zip_derived_cl1436_370,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl400_371,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl152_372,plain,
( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2891,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl152]) ).
thf(zip_derived_cl6333,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl2891]) ).
thf('217',plain,
( ( ( op @ e4 @ e3 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6333]) ).
thf(zip_derived_cl1435_373,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl420,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl102,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1836,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl102]) ).
thf(zip_derived_cl6271,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl1836]) ).
thf('218',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6271]) ).
thf(zip_derived_cl1435_374,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl437,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6263,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1435,zip_derived_cl437]) ).
thf(zip_derived_cl193_375,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('219',plain,
( ( ( op @ e3 @ e0 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6263,zip_derived_cl193]) ).
thf(zip_derived_cl1434_376,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl421,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl143_377,plain,
( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2713,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl143]) ).
thf(zip_derived_cl6216,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl2713]) ).
thf('220',plain,
( ( ( op @ e3 @ e4 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6216]) ).
thf(zip_derived_cl1433_378,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl415_379,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6167,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1433,zip_derived_cl415]) ).
thf(zip_derived_cl186_380,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('221',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6167,zip_derived_cl186]) ).
thf(zip_derived_cl399_381,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl436_382,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl423_383,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax8,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e1
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl273,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl953,plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl6047,plain,
( ( e2
!= ( op @ ( op @ e3 @ e1 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl953]) ).
thf(zip_derived_cl10319,plain,
( ( e2
!= ( op @ e4 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6047]) ).
thf(zip_derived_cl11241,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl10319]) ).
thf('222',plain,
( ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11241]) ).
thf(zip_derived_cl436_384,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl423_385,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl954,plain,
( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5819,plain,
( ( e4
!= ( op @ e3 @ e1 ) )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl954]) ).
thf(zip_derived_cl9206,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl5819]) ).
thf('223',plain,
( ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9206]) ).
thf(zip_derived_cl490_386,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl485_387,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125_388,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3960,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl125]) ).
thf(zip_derived_cl5359,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3960]) ).
thf('224',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5359]) ).
thf('225',plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl423_389,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl398_390,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl146,plain,
( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2747,plain,
( ( ( op @ e3 @ e3 )
!= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl146]) ).
thf(zip_derived_cl3020,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl2747]) ).
thf('226',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3020]) ).
thf(zip_derived_cl491_391,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl441_392,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl180,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3912,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl180]) ).
thf(zip_derived_cl5312,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3912]) ).
thf('227',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5312]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_20
=> ( ( ( op @ e4 @ e0 )
!= e4 )
& ( ( op @ e0 @ e0 )
= e4 )
& ( ( op @ e4 @ e4 )
= e0 ) ) ) ).
thf(zip_derived_cl256,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('228',plain,
( ~ zip_tseitin_20
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl1433_393,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl893,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl6168,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
!= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl893]) ).
thf('229',plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6168]) ).
thf(zip_derived_cl466_394,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl462_395,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3247,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl462]) ).
thf(zip_derived_cl192_396,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('230',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3247,zip_derived_cl192]) ).
thf(zip_derived_cl465_397,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl462_398,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3200,plain,
( ( e3 = e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl462]) ).
thf(zip_derived_cl193_399,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('231',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3200,zip_derived_cl193]) ).
thf(zip_derived_cl84,plain,
( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('232',plain,
( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl513_400,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl512,plain,
( ( ( op @ e0 @ e0 )
= e0 )
<= ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4778,plain,
( ( e1 = e0 )
<= ( ( ( op @ e0 @ e0 )
= e0 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl513,zip_derived_cl512]) ).
thf(zip_derived_cl195_401,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('233',plain,
( ( ( op @ e0 @ e0 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4778,zip_derived_cl195]) ).
thf('234',plain,
( ~ zip_tseitin_5
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl211]) ).
thf(zip_derived_cl513_402,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl488_403,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl185,plain,
( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4032,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl185]) ).
thf(zip_derived_cl5477,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl4032]) ).
thf('235',plain,
( ( ( op @ e0 @ e0 )
!= e1 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5477]) ).
thf(zip_derived_cl437_404,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103_405,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1908,plain,
( ( ( op @ e3 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl103]) ).
thf(zip_derived_cl2356,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl1908]) ).
thf('236',plain,
( ( ( op @ e3 @ e0 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2356]) ).
thf(zip_derived_cl514_406,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl499_407,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl133,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4365,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl133]) ).
thf(zip_derived_cl5670,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e3 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl4365]) ).
thf('237',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5670]) ).
thf(ax36,axiom,
~ ( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl301,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf('238',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl301]) ).
thf(zip_derived_cl465_408,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_409,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl969_410,plain,
( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl5848,plain,
( ( e3
!= ( op @ e2 @ e0 ) )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl969]) ).
thf(zip_derived_cl9335,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl5848]) ).
thf('239',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9335]) ).
thf(zip_derived_cl431_411,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl465_412,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_413,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl970_414,plain,
( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl6070,plain,
( ( e4
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl970]) ).
thf(zip_derived_cl10480,plain,
( ( e4
!= ( op @ e3 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl6070]) ).
thf(zip_derived_cl11525,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl10480]) ).
thf('240',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11525]) ).
thf(zip_derived_cl431_415,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl428_416,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2195,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl428]) ).
thf(zip_derived_cl189_417,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('241',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2195,zip_derived_cl189]) ).
thf(zip_derived_cl456_418,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl451_419,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl108_420,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2773,plain,
( ( ( op @ e2 @ e2 )
!= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl108]) ).
thf(zip_derived_cl3149,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl2773]) ).
thf('242',plain,
( ( ( op @ e2 @ e3 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3149]) ).
thf(zip_derived_cl451_421,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl448_422,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2777,plain,
( ( e4 = e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl448]) ).
thf(zip_derived_cl189_423,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('243',plain,
( ( ( op @ e2 @ e3 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2777,zip_derived_cl189]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_16
=> ( ( ( op @ e3 @ e1 )
!= e3 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e3 @ e3 )
= e1 ) ) ) ).
thf(zip_derived_cl244,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('244',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ~ zip_tseitin_16 ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl518_424,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_425,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1441,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl433_426,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6608,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1441,zip_derived_cl433]) ).
thf(zip_derived_cl190_427,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('245',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6608,zip_derived_cl190]) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_10
=> ( ( ( op @ e2 @ e0 )
!= e2 )
& ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e2 @ e2 )
= e0 ) ) ) ).
thf(zip_derived_cl226,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('246',plain,
( ~ zip_tseitin_10
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl514_428,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1437_429,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl184_430,plain,
( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6379,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl184]) ).
thf(zip_derived_cl6534,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl6379]) ).
thf('247',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6534]) ).
thf(zip_derived_cl1437_431,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl833,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl6384,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
!= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl833]) ).
thf('248',plain,
( ( ( op @ e2 @ e0 )
= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6384]) ).
thf(zip_derived_cl513_432,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1447_433,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl185_434,plain,
( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6823,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl185]) ).
thf(zip_derived_cl7057,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl6823]) ).
thf('249',plain,
( ( ( op @ e0 @ e0 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7057]) ).
thf(zip_derived_cl482_435,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl432_436,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl170_437,plain,
( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3537,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl170]) ).
thf(zip_derived_cl4802,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl3537]) ).
thf('250',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4802]) ).
thf(zip_derived_cl483_438,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl519_439,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_440,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1458,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl121_441,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7294,plain,
( ( ( op @ e1 @ e1 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl121]) ).
thf(zip_derived_cl7534,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl7294]) ).
thf('251',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7534]) ).
thf(zip_derived_cl1443_442,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl460_443,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6717,plain,
( ( e2 = e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1443,zip_derived_cl460]) ).
thf(zip_derived_cl188_444,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('252',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6717,zip_derived_cl188]) ).
thf(zip_derived_cl1443_445,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl458_446,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6716,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1443,zip_derived_cl458]) ).
thf(zip_derived_cl191_447,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('253',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6716,zip_derived_cl191]) ).
thf(zip_derived_cl443_448,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl414_449,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl972_450,plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl6076,plain,
( ( e1
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl972]) ).
thf(zip_derived_cl10522,plain,
( ( e1
!= ( op @ e2 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl6076]) ).
thf(zip_derived_cl11606,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl10522]) ).
thf('254',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11606]) ).
thf(zip_derived_cl465_451,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl463_452,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3201,plain,
( ( e3 = e1 )
<= ( ( ( op @ e2 @ e0 )
= e1 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl463]) ).
thf(zip_derived_cl190_453,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('255',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3201,zip_derived_cl190]) ).
thf(ax79,axiom,
~ ( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl344,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf('256',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl455_454,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl405_455,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl157_456,plain,
( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3011,plain,
( ( ( op @ e2 @ e2 )
!= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl157]) ).
thf(zip_derived_cl3735,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl3011]) ).
thf('257',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3735]) ).
thf(zip_derived_cl403_457,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl398_458,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl88_459,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1598,plain,
( ( ( op @ e4 @ e2 )
!= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl88]) ).
thf(zip_derived_cl1928,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e4 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl1598]) ).
thf('258',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1928]) ).
thf(zip_derived_cl1454_460,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl431_461,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7084,plain,
( ( e3 = e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1454,zip_derived_cl431]) ).
thf(zip_derived_cl186_462,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('259',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7084,zip_derived_cl186]) ).
thf(zip_derived_cl452_463,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl427_464,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl158_465,plain,
( ( op @ e2 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3050,plain,
( ( ( op @ e2 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl158]) ).
thf(zip_derived_cl3763,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl3050]) ).
thf('260',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3763]) ).
thf(zip_derived_cl431_466,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl427_467,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2194,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl427]) ).
thf(zip_derived_cl192_468,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('261',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2194,zip_derived_cl192]) ).
thf(zip_derived_cl516,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1433_469,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl182_470,plain,
( ( op @ e0 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6163,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl182]) ).
thf(zip_derived_cl6257,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl6163]) ).
thf('262',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6257]) ).
thf(zip_derived_cl486_471,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl476_472,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl120_473,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3621,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl120]) ).
thf(zip_derived_cl4976,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl3621]) ).
thf('263',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4976]) ).
thf(zip_derived_cl472_474,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl397_475,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl149,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2811,plain,
( ( ( op @ e1 @ e3 )
!= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl149]) ).
thf(zip_derived_cl3476,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl2811]) ).
thf('264',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3476]) ).
thf(zip_derived_cl501_476,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl426_477,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl153_478,plain,
( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2919,plain,
( ( ( op @ e0 @ e3 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl153]) ).
thf(zip_derived_cl4458,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl2919]) ).
thf('265',plain,
( ( ( op @ e0 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4458]) ).
thf(ax51,axiom,
~ ( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e4
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl316,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax51]) ).
thf('266',plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e4 )
| ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl499_479,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl417_480,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl426_481,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl953_482,plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl6050,plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl953]) ).
thf(zip_derived_cl10338,plain,
( ( e2
!= ( op @ e0 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl6050]) ).
thf(zip_derived_cl11257,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl10338]) ).
thf('267',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11257]) ).
thf(zip_derived_cl498_483,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl493_484,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl126_485,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4123,plain,
( ( ( op @ e0 @ e3 )
!= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl126]) ).
thf(zip_derived_cl5525,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl4123]) ).
thf('268',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5525]) ).
thf(zip_derived_cl417_486,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl426_487,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax41,axiom,
~ ( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e2
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl306,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl1083,plain,
( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl5936,plain,
( ( e0
!= ( op @ e3 @ e4 ) )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl1083]) ).
thf(zip_derived_cl9738,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl5936]) ).
thf('269',plain,
( ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9738]) ).
thf(zip_derived_cl504_488,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl519_489,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_490,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1456,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl30]) ).
thf(zip_derived_cl164_491,plain,
( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7183,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl164]) ).
thf(zip_derived_cl7527,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e2 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl7183]) ).
thf('270',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7527]) ).
thf(zip_derived_cl505_492,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1454_493,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl163,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7080,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1454,zip_derived_cl163]) ).
thf(zip_derived_cl7343,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e2 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl7080]) ).
thf('271',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7343]) ).
thf(zip_derived_cl398_494,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl426_495,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax32,axiom,
~ ( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl297,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl1048,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl5906,plain,
( ( e1
!= ( op @ e4 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl1048]) ).
thf(zip_derived_cl9601,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl5906]) ).
thf('272',plain,
( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9601]) ).
thf(zip_derived_cl468_496,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl393_497,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl139,plain,
( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2565,plain,
( ( ( op @ e1 @ e4 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl139]) ).
thf(zip_derived_cl3323,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl2565]) ).
thf('273',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3323]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_9
=> ( ( ( op @ e1 @ e4 )
!= e1 )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ) ).
thf(zip_derived_cl223,plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('274',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ~ zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl490_498,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl487_499,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4041,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl487]) ).
thf(zip_derived_cl193_500,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('275',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4041,zip_derived_cl193]) ).
thf(zip_derived_cl1458_501,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_7
=> ( ( ( op @ e1 @ e2 )
!= e1 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ) ).
thf(zip_derived_cl217,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl815,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e1 @ e2 )
!= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl217]) ).
thf(zip_derived_cl7301,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e2 )
!= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl815]) ).
thf('276',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e2 )
= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7301]) ).
thf(zip_derived_cl410_502,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl395_503,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl89,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1554,plain,
( ( ( op @ e4 @ e1 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl89]) ).
thf(zip_derived_cl1824,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl1554]) ).
thf('277',plain,
( ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1824]) ).
thf('278',plain,
( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl474_504,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl418_505,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl6050_506,plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl953]) ).
thf(zip_derived_cl10339,plain,
( ( e2
!= ( op @ e1 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl6050]) ).
thf(zip_derived_cl11265,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl10339]) ).
thf('279',plain,
( ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11265]) ).
thf(zip_derived_cl418_507,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl426_508,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl988_509,plain,
( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zip_derived_cl5876,plain,
( ( e1
!= ( op @ e3 @ e4 ) )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl988]) ).
thf(zip_derived_cl9463,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl5876]) ).
thf('280',plain,
( ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9463]) ).
thf(zip_derived_cl397_510,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl426_511,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl951,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5816,plain,
( ( e0
!= ( op @ e4 @ e3 ) )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl951]) ).
thf(zip_derived_cl9186,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl5816]) ).
thf('281',plain,
( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9186]) ).
thf(ax27,axiom,
~ ( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e4
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl292,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf('282',plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e4 )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
thf(zip_derived_cl519_512,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_513,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1466,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl33]) ).
thf(zip_derived_cl408_514,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl167_515,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3418,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl167]) ).
thf(zip_derived_cl7474,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl3418]) ).
thf('283',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7474]) ).
thf(zip_derived_cl1447_516,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl478_517,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl124,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3714,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl124]) ).
thf(zip_derived_cl6840,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl3714]) ).
thf('284',plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6840]) ).
thf(zip_derived_cl475_518,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl474_519,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3586,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e3 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl475,zip_derived_cl474]) ).
thf(zip_derived_cl188_520,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('285',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3586,zip_derived_cl188]) ).
thf(zip_derived_cl475_521,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl472_522,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3584,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl475,zip_derived_cl472]) ).
thf(zip_derived_cl193_523,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('286',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3584,zip_derived_cl193]) ).
thf(zip_derived_cl480_524,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl478_525,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3785,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl478]) ).
thf(zip_derived_cl190_526,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('287',plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3785,zip_derived_cl190]) ).
thf(zip_derived_cl479_527,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl478_528,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3748,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl479,zip_derived_cl478]) ).
thf(zip_derived_cl191_529,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('288',plain,
( ( ( op @ e1 @ e2 )
!= e2 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3748,zip_derived_cl191]) ).
thf(zip_derived_cl489,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl488_530,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4035,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl488]) ).
thf(zip_derived_cl191_531,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('289',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4035,zip_derived_cl191]) ).
thf(zip_derived_cl488_532,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl487_533,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4026,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( ( op @ e1 @ e0 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl487]) ).
thf(zip_derived_cl195_534,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('290',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4026,zip_derived_cl195]) ).
thf(zip_derived_cl478_535,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl428_536,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160_537,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3129,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl160]) ).
thf(zip_derived_cl3875,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl3129]) ).
thf('291',plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3875]) ).
thf(zip_derived_cl478_538,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl477,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3716,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl478,zip_derived_cl477]) ).
thf(zip_derived_cl195_539,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('292',plain,
( ( ( op @ e1 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3716,zip_derived_cl195]) ).
thf(zip_derived_cl474_540,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl424_541,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl150,plain,
( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2834,plain,
( ( ( op @ e1 @ e3 )
!= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl150]) ).
thf(zip_derived_cl3556,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl2834]) ).
thf('293',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3556]) ).
thf(zip_derived_cl474_542,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl472_543,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3546,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl472]) ).
thf(zip_derived_cl194_544,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('294',plain,
( ( ( op @ e1 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3546,zip_derived_cl194]) ).
thf(zip_derived_cl490_545,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl480_546,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl124_547,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3782,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl124]) ).
thf(zip_derived_cl5143,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3782]) ).
thf('295',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5143]) ).
thf(zip_derived_cl490_548,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl475_549,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl123,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3582,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl123]) ).
thf(zip_derived_cl4927,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3582]) ).
thf('296',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4927]) ).
thf(zip_derived_cl490_550,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl488_551,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4042,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl488]) ).
thf(zip_derived_cl190_552,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('297',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4042,zip_derived_cl190]) ).
thf(zip_derived_cl426_553,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl421_554,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96_555,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1869,plain,
( ( ( op @ e3 @ e3 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl96]) ).
thf(zip_derived_cl2249,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl1869]) ).
thf('298',plain,
( ( ( op @ e3 @ e4 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl426_556,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl401,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl146_557,plain,
( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2750,plain,
( ( ( op @ e3 @ e3 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl146]) ).
thf(zip_derived_cl3065,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl2750]) ).
thf('299',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3065]) ).
thf(zip_derived_cl402_558,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl392_559,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl87_560,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1531,plain,
( ( ( op @ e4 @ e2 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl87]) ).
thf(zip_derived_cl1745,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl1531]) ).
thf('300',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1745]) ).
thf(zip_derived_cl412,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_561,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl92_562,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1563,plain,
( ( ( op @ e4 @ e0 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl92]) ).
thf(zip_derived_cl1827,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl1563]) ).
thf('301',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1827]) ).
thf(zip_derived_cl492_563,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl392_564,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl142,plain,
( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2669,plain,
( ( ( op @ e0 @ e4 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl142]) ).
thf(zip_derived_cl4083,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl2669]) ).
thf('302',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e0 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4083]) ).
thf('303',plain,
( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e1 )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl410_565,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl393_566,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl950,plain,
( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5807,plain,
( ( e3
!= ( op @ e4 @ e1 ) )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl950]) ).
thf(zip_derived_cl9157,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl5807]) ).
thf('304',plain,
( ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9157]) ).
thf(zip_derived_cl419_567,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl410_568,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl393_569,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl949_570,plain,
( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl6041,plain,
( ( e2
!= ( op @ ( op @ e4 @ e1 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl949]) ).
thf(zip_derived_cl10275,plain,
( ( e2
!= ( op @ e3 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl6041]) ).
thf(zip_derived_cl11166,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl10275]) ).
thf('305',plain,
( ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11166]) ).
thf(zip_derived_cl460_571,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl445_572,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl109,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2650,plain,
( ( ( op @ e2 @ e1 )
!= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl109]) ).
thf(zip_derived_cl2999,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl2650]) ).
thf('306',plain,
( ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2999]) ).
thf(zip_derived_cl399_573,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl394_574,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86_575,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1538,plain,
( ( ( op @ e4 @ e3 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl86]) ).
thf(zip_derived_cl1784,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl1538]) ).
thf('307',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1784]) ).
thf(zip_derived_cl405_576,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_577,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl950_578,plain,
( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5808,plain,
( ( e3
!= ( op @ e4 @ e2 ) )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl950]) ).
thf(zip_derived_cl9165,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl5808]) ).
thf('308',plain,
( ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9165]) ).
thf(zip_derived_cl418_579,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl405_580,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_581,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl972_582,plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl6078,plain,
( ( e1
!= ( op @ ( op @ e4 @ e2 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl972]) ).
thf(zip_derived_cl10546,plain,
( ( e1
!= ( op @ e3 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl6078]) ).
thf(zip_derived_cl11639,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl10546]) ).
thf('309',plain,
( ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11639]) ).
thf(zip_derived_cl398_583,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl431_584,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl424_585,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl976_586,plain,
( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl6084,plain,
( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl976]) ).
thf(zip_derived_cl10590,plain,
( ( e1
!= ( op @ e4 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6084]) ).
thf(zip_derived_cl11722,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl10590]) ).
thf('310',plain,
( ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11722]) ).
thf(zip_derived_cl431_587,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl424_588,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl954_589,plain,
( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5820,plain,
( ( e4
!= ( op @ e3 @ e2 ) )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl954]) ).
thf(zip_derived_cl9214,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl5820]) ).
thf('311',plain,
( ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9214]) ).
thf(zip_derived_cl447_590,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl424_591,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl951_592,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5814,plain,
( ( e0
!= ( op @ e2 @ e3 ) )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl951]) ).
thf(zip_derived_cl9178,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl5814]) ).
thf('312',plain,
( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9178]) ).
thf('313',plain,
( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl398_593,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl397_594,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1601,plain,
( ( e1 = e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e4 @ e3 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl397]) ).
thf(zip_derived_cl195_595,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('314',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1601,zip_derived_cl195]) ).
thf(zip_derived_cl424_596,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl399_597,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl146_598,plain,
( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2748,plain,
( ( ( op @ e3 @ e3 )
!= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl146]) ).
thf(zip_derived_cl3027,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl2748]) ).
thf('315',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3027]) ).
thf('316',plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl1464_599,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl33]) ).
thf(zip_derived_cl408_600,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl172,plain,
( ( op @ e0 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3610,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl172]) ).
thf(zip_derived_cl7358,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1464,zip_derived_cl3610]) ).
thf('317',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7358]) ).
thf(zip_derived_cl1447_601,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl473_602,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl123_603,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3513,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl123]) ).
thf(zip_derived_cl6835,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl3513]) ).
thf('318',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6835]) ).
thf(zip_derived_cl510_604,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1436_605,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl130,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6323,plain,
( ( ( op @ e0 @ e1 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl130]) ).
thf(zip_derived_cl6490,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e1 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl6323]) ).
thf('319',plain,
( ( ( op @ e0 @ e1 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6490]) ).
thf(zip_derived_cl1438_606,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl404_607,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl162_608,plain,
( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3221,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl162]) ).
thf(zip_derived_cl6449,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e2 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1438,zip_derived_cl3221]) ).
thf('320',plain,
( ( ( op @ e4 @ e2 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6449]) ).
thf(zip_derived_cl505_609,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1436_610,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl128_611,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6322,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl128]) ).
thf(zip_derived_cl6435,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e2 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl6322]) ).
thf('321',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6435]) ).
thf(zip_derived_cl1437_612,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl449,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl113,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2737,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl113]) ).
thf(zip_derived_cl6392,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl2737]) ).
thf('322',plain,
( ( ( op @ e2 @ e3 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6392]) ).
thf(zip_derived_cl1436_613,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl475_614,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl155,plain,
( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3583,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl155]) ).
thf(zip_derived_cl6348,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl3583]) ).
thf('323',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6348]) ).
thf(zip_derived_cl1436_615,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl499_616,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl6327,plain,
( ( e3 = e2 )
<= ( ( ( op @ e0 @ e3 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1436,zip_derived_cl499]) ).
thf(zip_derived_cl188_617,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('324',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6327,zip_derived_cl188]) ).
thf(zip_derived_cl1436_618,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl498_619,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl6326,plain,
( ( e3 = e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1436,zip_derived_cl498]) ).
thf(zip_derived_cl190_620,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('325',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6326,zip_derived_cl190]) ).
thf(zip_derived_cl1436_621,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl29]) ).
thf(zip_derived_cl497,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl6325,plain,
( ( e3 = e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1436,zip_derived_cl497]) ).
thf(zip_derived_cl193_622,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('326',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6325,zip_derived_cl193]) ).
thf(zip_derived_cl506_623,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1434_624,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl127,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6199,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl127]) ).
thf(zip_derived_cl6313,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e2 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl6199]) ).
thf('327',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6313]) ).
thf(zip_derived_cl1435_625,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl435_626,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl105,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2281,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl105]) ).
thf(zip_derived_cl6286,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl2281]) ).
thf('328',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6286]) ).
thf(zip_derived_cl1435_627,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl430_628,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl104_629,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2171,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl104]) ).
thf(zip_derived_cl6281,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl2171]) ).
thf('329',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6281]) ).
thf(zip_derived_cl1434_630,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl494_631,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl6204,plain,
( ( e4 = e2 )
<= ( ( ( op @ e0 @ e4 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl494]) ).
thf(zip_derived_cl187_632,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('330',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6204,zip_derived_cl187]) ).
thf(zip_derived_cl1433_633,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl406_634,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl94,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1666,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl94]) ).
thf(zip_derived_cl6183,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl1666]) ).
thf('331',plain,
( ( ( op @ e4 @ e2 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6183]) ).
thf(zip_derived_cl1433_635,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl414_636,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6166,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1433,zip_derived_cl414]) ).
thf(zip_derived_cl187_637,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('332',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6166,zip_derived_cl187]) ).
thf(zip_derived_cl1433_638,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl413_639,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6165,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1433,zip_derived_cl413]) ).
thf(zip_derived_cl189_640,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('333',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6165,zip_derived_cl189]) ).
thf(zip_derived_cl1491_641,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl827,plain,
( ( ( op @ e1 @ e4 )
!= e1 )
<= ( ( op @ e1 @ e4 )
!= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl8490,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
!= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl827]) ).
thf('334',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8490]) ).
thf(zip_derived_cl506_642,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl457_643,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl453_644,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl970_645,plain,
( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl6071,plain,
( ( e4
!= ( op @ ( op @ e2 @ e1 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl970]) ).
thf(zip_derived_cl10487,plain,
( ( e4
!= ( op @ e0 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl6071]) ).
thf(zip_derived_cl11542,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl10487]) ).
thf('335',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11542]) ).
thf(zip_derived_cl480_646,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl453_647,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1241,plain,
( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl5999,plain,
( ( e3
!= ( op @ e1 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl1241]) ).
thf(zip_derived_cl10042,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl5999]) ).
thf('336',plain,
( ( e3
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10042]) ).
thf(zip_derived_cl426_648,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl423_649,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2054,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl423]) ).
thf(zip_derived_cl189_650,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('337',plain,
( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2054,zip_derived_cl189]) ).
thf(zip_derived_cl501_651,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl499_652,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl4446,plain,
( ( e4 = e2 )
<= ( ( ( op @ e0 @ e3 )
= e2 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl501,zip_derived_cl499]) ).
thf(zip_derived_cl187_653,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('338',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4446,zip_derived_cl187]) ).
thf(zip_derived_cl498_654,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl427_655,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl6084_656,plain,
( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl976]) ).
thf(zip_derived_cl10586,plain,
( ( e1
!= ( op @ e0 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6084]) ).
thf(zip_derived_cl11705,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl10586]) ).
thf('339',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e2 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11705]) ).
thf(zip_derived_cl457_657,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl432_658,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl168,plain,
( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3460,plain,
( ( ( op @ e2 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl168]) ).
thf(zip_derived_cl4583,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl3460]) ).
thf('340',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4583]) ).
thf(zip_derived_cl451_659,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl424_660,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(ax103,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl368,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax103]) ).
thf(zip_derived_cl1334,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl6018,plain,
( ( e4
!= ( op @ e2 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1334]) ).
thf(zip_derived_cl10150,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl6018]) ).
thf('341',plain,
( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10150]) ).
thf(zip_derived_cl431_661,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl460_662,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6071_663,plain,
( ( e4
!= ( op @ ( op @ e2 @ e1 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl970]) ).
thf(zip_derived_cl10490,plain,
( ( e4
!= ( op @ e3 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl6071]) ).
thf(zip_derived_cl11550,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl10490]) ).
thf('342',plain,
( ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e2 @ e1 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11550]) ).
thf(zip_derived_cl460_664,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl453_665,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl969_666,plain,
( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl5849,plain,
( ( e3
!= ( op @ e2 @ e1 ) )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl969]) ).
thf(zip_derived_cl9343,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl5849]) ).
thf('343',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( e3
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9343]) ).
thf(zip_derived_cl436_667,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl432_668,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2315,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl432]) ).
thf(zip_derived_cl192_669,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('344',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2315,zip_derived_cl192]) ).
thf(zip_derived_cl472_670,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl447_671,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl151_672,plain,
( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2854,plain,
( ( ( op @ e1 @ e3 )
!= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl151]) ).
thf(zip_derived_cl3486,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl2854]) ).
thf('345',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3486]) ).
thf(zip_derived_cl451_673,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl447_674,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2776,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl447]) ).
thf(zip_derived_cl192_675,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('346',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2776,zip_derived_cl192]) ).
thf('347',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl501_676,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl498_677,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl4445,plain,
( ( e4 = e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl501,zip_derived_cl498]) ).
thf(zip_derived_cl189_678,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('348',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl189]) ).
thf(zip_derived_cl441_679,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl438_680,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2502,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl441,zip_derived_cl438]) ).
thf(zip_derived_cl189_681,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('349',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2502,zip_derived_cl189]) ).
thf(zip_derived_cl426_682,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl424_683,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2055,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).
thf(zip_derived_cl187_684,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('350',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2055,zip_derived_cl187]) ).
thf(zip_derived_cl439_685,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl438_686,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2409,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl438]) ).
thf(zip_derived_cl191_687,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('351',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2409,zip_derived_cl191]) ).
thf(zip_derived_cl416_688,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl521_689,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_690,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1485,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl92_691,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8180,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl92]) ).
thf(zip_derived_cl8531,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl8180]) ).
thf('352',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8531]) ).
thf(zip_derived_cl1489_692,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl442_693,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl8365,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl442]) ).
thf(zip_derived_cl194_694,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('353',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8365,zip_derived_cl194]) ).
thf(zip_derived_cl1488_695,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl401_696,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl8328,plain,
( ( e3 = e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1488,zip_derived_cl401]) ).
thf(zip_derived_cl186_697,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('354',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ( unit != e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8328,zip_derived_cl186]) ).
thf(zip_derived_cl1487_698,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl421_699,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl8269,plain,
( ( e3 = e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl421]) ).
thf(zip_derived_cl186_700,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('355',plain,
( ( ( op @ e3 @ e4 )
!= e4 )
| ( unit != e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8269,zip_derived_cl186]) ).
thf(zip_derived_cl493_701,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl468_702,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3319,plain,
( ( ( op @ e0 @ e4 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl145]) ).
thf(zip_derived_cl4145,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl3319]) ).
thf('356',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e0 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4145]) ).
thf(zip_derived_cl473_703,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl468_704,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl116_705,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3315,plain,
( ( ( op @ e1 @ e3 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl116]) ).
thf(zip_derived_cl4050,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e1 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl3315]) ).
thf('357',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4050]) ).
thf(zip_derived_cl468_706,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl418_707,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2601,plain,
( ( ( op @ e1 @ e4 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl140]) ).
thf(zip_derived_cl3328,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl2601]) ).
thf('358',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3328]) ).
thf(ax89,axiom,
~ ( ( e3
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e1
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl354,plain,
( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax89]) ).
thf('359',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl354]) ).
thf(zip_derived_cl453_708,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl448_709,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl108_710,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2726,plain,
( ( ( op @ e2 @ e2 )
!= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl108]) ).
thf(zip_derived_cl2953,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2726]) ).
thf('360',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2953]) ).
thf(zip_derived_cl453_711,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl403_712,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl157_713,plain,
( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3009,plain,
( ( ( op @ e2 @ e2 )
!= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl157]) ).
thf(zip_derived_cl3721,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl3009]) ).
thf('361',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3721]) ).
thf(zip_derived_cl509_714,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl484_715,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl175,plain,
( ( op @ e0 @ e1 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3938,plain,
( ( ( op @ e0 @ e1 )
!= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl175]) ).
thf(zip_derived_cl5322,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl3938]) ).
thf('362',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5322]) ).
thf(zip_derived_cl484_716,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl409_717,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl169_718,plain,
( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3496,plain,
( ( ( op @ e1 @ e1 )
!= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl169]) ).
thf(zip_derived_cl4728,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl3496]) ).
thf('363',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4728]) ).
thf(zip_derived_cl1458_719,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl473_720,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl118_721,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3511,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl118]) ).
thf(zip_derived_cl7324,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl3511]) ).
thf('364',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7324]) ).
thf(zip_derived_cl519_722,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29_723,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1455,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl448_724,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7138,plain,
( ( e3 = e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl448]) ).
thf(zip_derived_cl190_725,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('365',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7138,zip_derived_cl190]) ).
thf(zip_derived_cl519_726,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_727,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1453,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl444_728,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl7029,plain,
( ( e4 = e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl444]) ).
thf(zip_derived_cl187_729,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('366',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7029,zip_derived_cl187]) ).
thf(zip_derived_cl1452_730,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl402_731,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6984,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1452,zip_derived_cl402]) ).
thf(zip_derived_cl192_732,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('367',plain,
( ( unit != e2 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6984,zip_derived_cl192]) ).
thf(zip_derived_cl519_733,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl517_734,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1459,plain,
( ( e2 = e0 )
<= ( ( unit = e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl517]) ).
thf(zip_derived_cl194_735,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('368',plain,
( ( unit != e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1459,zip_derived_cl194]) ).
thf('369',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl418_736,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl415_737,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6076_738,plain,
( ( e1
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl972]) ).
thf(zip_derived_cl10523,plain,
( ( e1
!= ( op @ e3 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl6076]) ).
thf(zip_derived_cl11614,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e3 )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl10523]) ).
thf('370',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e0 )
!= e3 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11614]) ).
thf(zip_derived_cl399_739,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl398_740,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1608,plain,
( ( e2 = e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e4 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl398]) ).
thf(zip_derived_cl191_741,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('371',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1608,zip_derived_cl191]) ).
thf(zip_derived_cl513_742,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl498_743,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl133_744,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4317,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl133]) ).
thf(zip_derived_cl5651,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl4317]) ).
thf('372',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5651]) ).
thf(zip_derived_cl491_745,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl486_746,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125_747,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3979,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl125]) ).
thf(zip_derived_cl5402,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e1 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3979]) ).
thf('373',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5402]) ).
thf(zip_derived_cl407_748,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl397_749,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl90_750,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1589,plain,
( ( ( op @ e4 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl90]) ).
thf(zip_derived_cl1915,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl1589]) ).
thf('374',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1915]) ).
thf(zip_derived_cl497_751,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1493_752,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl126_753,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8584,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl126]) ).
thf(zip_derived_cl9033,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl8584]) ).
thf('375',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9033]) ).
thf(zip_derived_cl458_754,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl521_755,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_756,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1492,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl33]) ).
thf(zip_derived_cl167_757,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8539,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl167]) ).
thf(zip_derived_cl9016,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl8539]) ).
thf('376',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9016]) ).
thf(zip_derived_cl478_758,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1491_759,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl117,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8482,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl117]) ).
thf(zip_derived_cl8979,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl8482]) ).
thf('377',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8979]) ).
thf(zip_derived_cl429,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1490_760,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl156_761,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8426,plain,
( ( ( op @ e3 @ e2 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl156]) ).
thf(zip_derived_cl8944,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl8426]) ).
thf('378',plain,
( ( ( op @ e3 @ e2 )
!= e2 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8944]) ).
thf(zip_derived_cl459_762,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1489_763,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl109_764,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8361,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl109]) ).
thf(zip_derived_cl8922,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl8361]) ).
thf('379',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8922]) ).
thf(zip_derived_cl1492_765,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl33]) ).
thf(zip_derived_cl407_766,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl8542,plain,
( ( e1 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1492,zip_derived_cl407]) ).
thf(zip_derived_cl195_767,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('380',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8542,zip_derived_cl195]) ).
thf(zip_derived_cl1491_768,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl471_769,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8489,plain,
( ( e1 = e4 )
<= ( ( ( op @ e1 @ e4 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl471]) ).
thf(zip_derived_cl189_770,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('381',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8489,zip_derived_cl189]) ).
thf(zip_derived_cl1490_771,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl403_772,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8431,plain,
( ( e2 = e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl403]) ).
thf(zip_derived_cl191_773,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('382',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8431,zip_derived_cl191]) ).
thf(zip_derived_cl1489_774,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl445_775,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl8367,plain,
( ( e2 = e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl445]) ).
thf(zip_derived_cl188_776,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('383',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8367,zip_derived_cl188]) ).
thf(zip_derived_cl1488_777,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl397_778,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl8325,plain,
( ( e3 = e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1488,zip_derived_cl397]) ).
thf(zip_derived_cl193_779,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('384',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8325,zip_derived_cl193]) ).
thf(zip_derived_cl1487_780,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl419_781,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl8268,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl419]) ).
thf(zip_derived_cl188_782,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('385',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8268,zip_derived_cl188]) ).
thf(zip_derived_cl1487_783,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl417_784,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl8266,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl417]) ).
thf(zip_derived_cl193_785,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('386',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8266,zip_derived_cl193]) ).
thf(zip_derived_cl482_786,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl472_787,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl120_788,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3472,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl120]) ).
thf(zip_derived_cl4682,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl3472]) ).
thf('387',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4682]) ).
thf(zip_derived_cl434_789,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl409_790,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl166,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3372,plain,
( ( ( op @ e3 @ e1 )
!= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl166]) ).
thf(zip_derived_cl4276,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl3372]) ).
thf('388',plain,
( ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4276]) ).
thf('389',plain,
( ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl397_791,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl392_792,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86_793,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1530,plain,
( ( ( op @ e4 @ e3 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl86]) ).
thf(zip_derived_cl1739,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl1530]) ).
thf('390',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1739]) ).
thf(zip_derived_cl407_794,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl392_795,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl89_796,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1532,plain,
( ( ( op @ e4 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl89]) ).
thf(zip_derived_cl1751,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl1532]) ).
thf('391',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1751]) ).
thf(zip_derived_cl441_797,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl426_798,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103_799,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2052,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl103]) ).
thf(zip_derived_cl2515,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl2052]) ).
thf('392',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2515]) ).
thf(zip_derived_cl1466_800,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl33]) ).
thf(zip_derived_cl433_801,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl168_802,plain,
( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3461,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl168]) ).
thf(zip_derived_cl7479,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl3461]) ).
thf('393',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7479]) ).
thf(ax111,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e1
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl376,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax111]) ).
thf('394',plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zip_derived_cl476_803,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl423_804,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1334_805,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl6017,plain,
( ( e4
!= ( op @ e1 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl1334]) ).
thf(zip_derived_cl10142,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl6017]) ).
thf('395',plain,
( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10142]) ).
thf(zip_derived_cl432_806,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl423_807,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1083_808,plain,
( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl5933,plain,
( ( e0
!= ( op @ e3 @ e1 ) )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl1083]) ).
thf(zip_derived_cl9722,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl5933]) ).
thf('396',plain,
( ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9722]) ).
thf(zip_derived_cl399_809,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl397_810,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1607,plain,
( ( e2 = e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e4 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl397]) ).
thf(zip_derived_cl194_811,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('397',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1607,zip_derived_cl194]) ).
thf(zip_derived_cl423_812,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl418_813,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96_814,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1769,plain,
( ( ( op @ e3 @ e3 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl96]) ).
thf(zip_derived_cl2182,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl1769]) ).
thf('398',plain,
( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2182]) ).
thf(zip_derived_cl419_815,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl394_816,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl136_817,plain,
( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2429,plain,
( ( ( op @ e3 @ e4 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl136]) ).
thf(zip_derived_cl2577,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl2429]) ).
thf('399',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2577]) ).
thf(zip_derived_cl476_818,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl426_819,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl150_820,plain,
( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2836,plain,
( ( ( op @ e1 @ e3 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl150]) ).
thf(zip_derived_cl3638,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl2836]) ).
thf('400',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3638]) ).
thf(zip_derived_cl519_821,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_822,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1483,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl34]) ).
thf(zip_derived_cl497_823,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl128_824,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4292,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl128]) ).
thf(zip_derived_cl8101,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl4292]) ).
thf('401',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8101]) ).
thf(zip_derived_cl500_825,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1455_826,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl154_827,plain,
( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7136,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl154]) ).
thf(zip_derived_cl7433,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e3 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl7136]) ).
thf('402',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7433]) ).
thf(zip_derived_cl1455_828,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl449_829,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7139,plain,
( ( e3 = e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl449]) ).
thf(zip_derived_cl188_830,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('403',plain,
( ( ( op @ e2 @ e3 )
!= e2 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7139,zip_derived_cl188]) ).
thf(zip_derived_cl1455_831,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl447_832,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7137,plain,
( ( e3 = e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl447]) ).
thf(zip_derived_cl193_833,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('404',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7137,zip_derived_cl193]) ).
thf(zip_derived_cl1454_834,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl427_835,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7081,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1454,zip_derived_cl427]) ).
thf(zip_derived_cl193_836,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('405',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7081,zip_derived_cl193]) ).
thf(zip_derived_cl485_837,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl410_838,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl169_839,plain,
( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3497,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl169]) ).
thf(zip_derived_cl4735,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3497]) ).
thf('406',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4735]) ).
thf(zip_derived_cl472_840,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl467,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl116_841,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3274,plain,
( ( ( op @ e1 @ e3 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl116]) ).
thf(zip_derived_cl4000,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl3274]) ).
thf('407',plain,
( ( ( op @ e1 @ e3 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4000]) ).
thf(zip_derived_cl467_842,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl417_843,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140_844,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2600,plain,
( ( ( op @ e1 @ e4 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl140]) ).
thf(zip_derived_cl3285,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl2600]) ).
thf('408',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3285]) ).
thf(zip_derived_cl499_845,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl432_846,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6047_847,plain,
( ( e2
!= ( op @ ( op @ e3 @ e1 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl953]) ).
thf(zip_derived_cl10315,plain,
( ( e2
!= ( op @ e0 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6047]) ).
thf(zip_derived_cl11224,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl10315]) ).
thf('409',plain,
( ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11224]) ).
thf('410',plain,
( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf(zip_derived_cl506_848,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl447_849,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl6073_850,plain,
( ( e4
!= ( op @ ( op @ e2 @ e3 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl970]) ).
thf(zip_derived_cl10497,plain,
( ( e4
!= ( op @ e0 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl6073]) ).
thf(zip_derived_cl11567,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl10497]) ).
thf('411',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11567]) ).
thf(zip_derived_cl447_851,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl455_852,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1107_853,plain,
( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf(zip_derived_cl5947,plain,
( ( e0
!= ( op @ e2 @ e3 ) )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl1107]) ).
thf(zip_derived_cl9787,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl5947]) ).
thf('412',plain,
( ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9787]) ).
thf(zip_derived_cl448_854,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl447_855,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2729,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl448,zip_derived_cl447]) ).
thf(zip_derived_cl195_856,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('413',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2729,zip_derived_cl195]) ).
thf(zip_derived_cl54,plain,
( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('414',plain,
( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl477_857,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl472_858,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl118_859,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3471,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl118]) ).
thf(zip_derived_cl4676,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl3471]) ).
thf('415',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4676]) ).
thf(zip_derived_cl476_860,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl472_861,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3624,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl472]) ).
thf(zip_derived_cl192_862,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('416',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3624,zip_derived_cl192]) ).
thf('417',plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl427_863,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl424_864,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1083_865,plain,
( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl5934,plain,
( ( e0
!= ( op @ e3 @ e2 ) )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1083]) ).
thf(zip_derived_cl9730,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl5934]) ).
thf('418',plain,
( ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9730]) ).
thf(zip_derived_cl501_866,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl427_867,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl6066_868,plain,
( ( e4
!= ( op @ ( op @ e3 @ e2 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl966]) ).
thf(zip_derived_cl10454,plain,
( ( e4
!= ( op @ e0 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6066]) ).
thf(zip_derived_cl11492,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl10454]) ).
thf('419',plain,
( ( ( op @ e0 @ e3 )
!= e4 )
| ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e2 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11492]) ).
thf(zip_derived_cl503_869,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl498_870,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl128_871,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4315,plain,
( ( ( op @ e0 @ e2 )
!= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl128]) ).
thf(zip_derived_cl5639,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl4315]) ).
thf('420',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5639]) ).
thf(zip_derived_cl485_872,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl460_873,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl171_874,plain,
( ( op @ e1 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3572,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl171]) ).
thf(zip_derived_cl4903,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3572]) ).
thf('421',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4903]) ).
thf(zip_derived_cl448_875,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl424_876,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1048_877,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl5904,plain,
( ( e1
!= ( op @ e2 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1048]) ).
thf(zip_derived_cl9593,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl5904]) ).
thf('422',plain,
( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9593]) ).
thf(zip_derived_cl505_878,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl455_879,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl164_880,plain,
( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3301,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl164]) ).
thf(zip_derived_cl4608,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl3301]) ).
thf('423',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4608]) ).
thf(zip_derived_cl455_881,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl453_882,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2871,plain,
( ( e3 = e1 )
<= ( ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl455,zip_derived_cl453]) ).
thf(zip_derived_cl190_883,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('424',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2871,zip_derived_cl190]) ).
thf(zip_derived_cl499_884,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl424_885,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl153_886,plain,
( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2917,plain,
( ( ( op @ e0 @ e3 )
!= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl153]) ).
thf(zip_derived_cl4376,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl2917]) ).
thf('425',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4376]) ).
thf(zip_derived_cl451_887,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl434_888,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6065_889,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl966]) ).
thf(zip_derived_cl10446,plain,
( ( e4
!= ( op @ e2 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6065]) ).
thf(zip_derived_cl11475,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl10446]) ).
thf('426',plain,
( ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e2 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11475]) ).
thf(zip_derived_cl472_890,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl423_891,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl951_892,plain,
( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5813,plain,
( ( e0
!= ( op @ e1 @ e3 ) )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl951]) ).
thf(zip_derived_cl9170,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl5813]) ).
thf('427',plain,
( ( e0
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9170]) ).
thf(zip_derived_cl457_893,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl447_894,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl110_895,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2715,plain,
( ( ( op @ e2 @ e1 )
!= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl110]) ).
thf(zip_derived_cl2939,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl2715]) ).
thf('428',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2939]) ).
thf(zip_derived_cl477_896,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl427_897,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160_898,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3128,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl160]) ).
thf(zip_derived_cl3855,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl3128]) ).
thf('429',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3855]) ).
thf(zip_derived_cl55,plain,
( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('430',plain,
( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl434_899,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl423_900,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl965_901,plain,
( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl5843,plain,
( ( e2
!= ( op @ e3 @ e1 ) )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl965]) ).
thf(zip_derived_cl9318,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl5843]) ).
thf('431',plain,
( ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9318]) ).
thf(zip_derived_cl434_902,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl432_903,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2260,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl432]) ).
thf(zip_derived_cl194_904,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('432',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2260,zip_derived_cl194]) ).
thf(zip_derived_cl448_905,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl423_906,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl148_907,plain,
( ( op @ e2 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2789,plain,
( ( ( op @ e2 @ e3 )
!= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl148]) ).
thf(zip_derived_cl3189,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl2789]) ).
thf('433',plain,
( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3189]) ).
thf(zip_derived_cl424_908,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl423_909,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1978,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl423]) ).
thf(zip_derived_cl191_910,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('434',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1978,zip_derived_cl191]) ).
thf('435',plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e1 )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl460_911,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl455_912,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl111_913,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2868,plain,
( ( ( op @ e2 @ e1 )
!= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl111]) ).
thf(zip_derived_cl3425,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl2868]) ).
thf('436',plain,
( ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3425]) ).
thf(zip_derived_cl510_914,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl482_915,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1249,plain,
( ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl6004,plain,
( ( e3
!= ( op @ e0 @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1249]) ).
thf(zip_derived_cl10067,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl6004]) ).
thf('437',plain,
( ( e3
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e0 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10067]) ).
thf(zip_derived_cl461_916,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl489_917,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl6094_918,plain,
( ( e4
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl994]) ).
thf(zip_derived_cl10651,plain,
( ( e4
!= ( op @ e2 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl6094]) ).
thf(zip_derived_cl11849,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e2 @ e1 )
= e4 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10651]) ).
thf('438',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11849]) ).
thf(ax84,axiom,
~ ( ( e3
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e4
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl349,plain,
( ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf('439',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e4
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( e3
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl465_919,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl460_920,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl115_921,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2991,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl115]) ).
thf(zip_derived_cl3704,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl2991]) ).
thf('440',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3704]) ).
thf(zip_derived_cl419_922,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl415_923,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_924,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl949_925,plain,
( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl6040,plain,
( ( e2
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl949]) ).
thf(zip_derived_cl10265,plain,
( ( e2
!= ( op @ e3 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl6040]) ).
thf(zip_derived_cl11141,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e3 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl10265]) ).
thf('441',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11141]) ).
thf('442',plain,
( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl415_926,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_927,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl950_928,plain,
( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5806,plain,
( ( e3
!= ( op @ e4 @ e0 ) )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl950]) ).
thf(zip_derived_cl9149,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl5806]) ).
thf('443',plain,
( ( e3
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9149]) ).
thf(zip_derived_cl417_929,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl392_930,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl136_931,plain,
( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2427,plain,
( ( ( op @ e3 @ e4 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl136]) ).
thf(zip_derived_cl2553,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl2427]) ).
thf('444',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2553]) ).
thf('445',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e3
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl438_932,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl413_933,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl176_934,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3753,plain,
( ( ( op @ e3 @ e0 )
!= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl176]) ).
thf(zip_derived_cl5111,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl3753]) ).
thf('446',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5111]) ).
thf(zip_derived_cl465_935,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1455_936,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl113_937,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7134,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl113]) ).
thf(zip_derived_cl7418,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl7134]) ).
thf('447',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7418]) ).
thf(zip_derived_cl1453_938,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl421_939,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl138_940,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2534,plain,
( ( ( op @ e2 @ e4 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl138]) ).
thf(zip_derived_cl7041,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl2534]) ).
thf('448',plain,
( ( ( op @ e3 @ e4 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7041]) ).
thf(zip_derived_cl1452_941,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl396_942,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl87_943,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1573,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl87]) ).
thf(zip_derived_cl6993,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e4 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl1573]) ).
thf('449',plain,
( ( ( op @ e4 @ e4 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6993]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_17
=> ( ( ( op @ e3 @ e2 )
!= e3 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ) ).
thf(zip_derived_cl248,plain,
( ( ( op @ e2 @ e2 )
= e3 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('450',plain,
( ~ zip_tseitin_17
| ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl465_944,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl455_945,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114_946,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2869,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl114]) ).
thf(zip_derived_cl3468,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl2869]) ).
thf('451',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3468]) ).
thf(zip_derived_cl438_947,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl423_948,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103_949,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1941,plain,
( ( ( op @ e3 @ e0 )
!= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl103]) ).
thf(zip_derived_cl2383,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl1941]) ).
thf('452',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2383]) ).
thf(zip_derived_cl437_950,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1506_951,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl176_952,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8831,plain,
( ( ( op @ e3 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl176]) ).
thf(zip_derived_cl9095,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl8831]) ).
thf('453',plain,
( ( ( op @ e3 @ e0 )
!= e0 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9095]) ).
thf(zip_derived_cl1506_953,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl415_954,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl8837,plain,
( ( e0 = e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl415]) ).
thf(zip_derived_cl193_955,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('454',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8837,zip_derived_cl193]) ).
thf(zip_derived_cl440,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1487_956,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl102_957,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8262,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl102]) ).
thf(zip_derived_cl8656,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl8262]) ).
thf('455',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8656]) ).
thf(zip_derived_cl1485_958,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl393_959,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl8186,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl393]) ).
thf(zip_derived_cl189_960,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('456',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8186,zip_derived_cl189]) ).
thf(zip_derived_cl516_961,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl441_962,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl183_963,plain,
( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3999,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl183]) ).
thf(zip_derived_cl5438,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl3999]) ).
thf('457',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5438]) ).
thf(zip_derived_cl513_964,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl438_965,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl183_966,plain,
( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3996,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl183]) ).
thf(zip_derived_cl5417,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl3996]) ).
thf('458',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5417]) ).
thf('459',plain,
( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl441_967,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl436_968,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl105_969,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2314,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl105]) ).
thf(zip_derived_cl2551,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e1 )
= e4 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl2314]) ).
thf('460',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2551]) ).
thf(zip_derived_cl432_970,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl417_971,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl99_972,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1736,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl99]) ).
thf(zip_derived_cl2219,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl1736]) ).
thf('461',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2219]) ).
thf(zip_derived_cl519_973,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_974,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1504,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl35]) ).
thf(zip_derived_cl437_975,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl178_976,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3832,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl178]) ).
thf(zip_derived_cl8761,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl3832]) ).
thf('462',plain,
( ( ( op @ e3 @ e0 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8761]) ).
thf(zip_derived_cl1504_977,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl35]) ).
thf(zip_derived_cl412_978,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl177_979,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3791,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl177]) ).
thf(zip_derived_cl8756,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl3791]) ).
thf('463',plain,
( ( ( op @ e4 @ e0 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8756]) ).
thf(zip_derived_cl440_980,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1454_981,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl104_982,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7077,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1454,zip_derived_cl104]) ).
thf(zip_derived_cl7287,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7077]) ).
thf('464',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7287]) ).
thf(zip_derived_cl461_983,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1453_984,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl109_985,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7023,plain,
( ( ( op @ e2 @ e1 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl109]) ).
thf(zip_derived_cl7250,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e1 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl7023]) ).
thf('465',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7250]) ).
thf(zip_derived_cl411_986,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1452_987,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl91_988,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6978,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl91]) ).
thf(zip_derived_cl7113,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl6978]) ).
thf('466',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7113]) ).
thf(zip_derived_cl489_989,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1437_990,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl181,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6378,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl181]) ).
thf(zip_derived_cl6528,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl6378]) ).
thf('467',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6528]) ).
thf(zip_derived_cl489_991,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl439_992,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl180_993,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3910,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl180]) ).
thf(zip_derived_cl5298,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl3910]) ).
thf('468',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5298]) ).
thf(zip_derived_cl490_994,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl489_995,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4043,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl489]) ).
thf(zip_derived_cl188_996,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('469',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4043,zip_derived_cl188]) ).
thf(zip_derived_cl428_997,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl455_998,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1056_999,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl5911,plain,
( ( e1
!= ( op @ e3 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl1056]) ).
thf(zip_derived_cl9617,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl5911]) ).
thf('470',plain,
( ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9617]) ).
thf(zip_derived_cl516_1000,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl501_1001,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl133_1002,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4443,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl133]) ).
thf(zip_derived_cl5708,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e3 )
= e4 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl4443]) ).
thf('471',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5708]) ).
thf(zip_derived_cl438_1003,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl418_1004,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl102_1005,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1772,plain,
( ( ( op @ e3 @ e0 )
!= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl102]) ).
thf(zip_derived_cl2378,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl1772]) ).
thf('472',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2378]) ).
thf(zip_derived_cl1456_1006,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl30]) ).
thf(zip_derived_cl452_1007,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl7184,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1456,zip_derived_cl452]) ).
thf(zip_derived_cl194_1008,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('473',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7184,zip_derived_cl194]) ).
thf(zip_derived_cl1453_1009,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl443_1010,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl7028,plain,
( ( e4 = e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl443]) ).
thf(zip_derived_cl189_1011,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('474',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7028,zip_derived_cl189]) ).
thf(zip_derived_cl1485_1012,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl392_1013,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl8185,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl392]) ).
thf(zip_derived_cl192_1014,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('475',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( unit != e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8185,zip_derived_cl192]) ).
thf(zip_derived_cl1464_1015,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl33]) ).
thf(zip_derived_cl433_1016,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl173_1017,plain,
( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3652,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl173]) ).
thf(zip_derived_cl7363,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1464,zip_derived_cl3652]) ).
thf('476',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7363]) ).
thf(zip_derived_cl1435_1018,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl439_1019,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6265,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1435,zip_derived_cl439]) ).
thf(zip_derived_cl188_1020,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('477',plain,
( ( ( op @ e3 @ e0 )
!= e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6265,zip_derived_cl188]) ).
thf(zip_derived_cl1435_1021,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl438_1022,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6264,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1435,zip_derived_cl438]) ).
thf(zip_derived_cl190_1023,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('478',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6264,zip_derived_cl190]) ).
thf(zip_derived_cl484_1024,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl434_1025,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl170_1026,plain,
( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3539,plain,
( ( ( op @ e1 @ e1 )
!= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl170]) ).
thf(zip_derived_cl4816,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl3539]) ).
thf('479',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4816]) ).
thf(zip_derived_cl453_1027,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl428_1028,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl158_1029,plain,
( ( op @ e2 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3051,plain,
( ( ( op @ e2 @ e2 )
!= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl158]) ).
thf(zip_derived_cl3770,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl3051]) ).
thf('480',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3770]) ).
thf(zip_derived_cl419_1030,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl418_1031,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1805,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl418]) ).
thf(zip_derived_cl191_1032,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('481',plain,
( ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1805,zip_derived_cl191]) ).
thf(zip_derived_cl1454_1033,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl429_1034,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7083,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1454,zip_derived_cl429]) ).
thf(zip_derived_cl188_1035,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('482',plain,
( ( ( op @ e3 @ e2 )
!= e2 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7083,zip_derived_cl188]) ).
thf(zip_derived_cl1438_1036,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl31]) ).
thf(zip_derived_cl429_1037,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl163_1038,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3271,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl163]) ).
thf(zip_derived_cl6454,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1438,zip_derived_cl3271]) ).
thf('483',plain,
( ( ( op @ e3 @ e2 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6454]) ).
thf(zip_derived_cl1433_1039,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl26]) ).
thf(zip_derived_cl401_1040,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl93,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1630,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl93]) ).
thf(zip_derived_cl6178,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl1630]) ).
thf('484',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6178]) ).
thf(zip_derived_cl492_1041,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl467_1042,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145_1043,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3278,plain,
( ( ( op @ e0 @ e4 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl145]) ).
thf(zip_derived_cl4098,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl3278]) ).
thf('485',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4098]) ).
thf(zip_derived_cl487_1044,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl467_1045,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl122,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3277,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl122]) ).
thf(zip_derived_cl4024,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl3277]) ).
thf('486',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4024]) ).
thf(zip_derived_cl468_1046,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl467_1047,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3320,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl467]) ).
thf(zip_derived_cl195_1048,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('487',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3320,zip_derived_cl195]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_23
=> ( ( ( op @ e4 @ e3 )
!= e4 )
& ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e4 @ e4 )
= e3 ) ) ) ).
thf(zip_derived_cl266,plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('488',plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ~ zip_tseitin_23 ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl518_1049,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_1050,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1503,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl35]) ).
thf(zip_derived_cl462_1051,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl181_1052,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3949,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl181]) ).
thf(zip_derived_cl8703,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl3949]) ).
thf('489',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8703]) ).
thf(zip_derived_cl1503_1053,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl35]) ).
thf(zip_derived_cl437_1054,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl180_1055,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3908,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl180]) ).
thf(zip_derived_cl8697,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl3908]) ).
thf('490',plain,
( ( ( op @ e3 @ e0 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8697]) ).
thf(zip_derived_cl1503_1056,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl35]) ).
thf(zip_derived_cl412_1057,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl179_1058,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3869,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl179]) ).
thf(zip_derived_cl8691,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl3869]) ).
thf('491',plain,
( ( ( op @ e4 @ e0 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8691]) ).
thf(zip_derived_cl518_1059,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_1060,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1482,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl34]) ).
thf(zip_derived_cl497_1061,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl130_1062,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4293,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl130]) ).
thf(zip_derived_cl8040,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl4293]) ).
thf('492',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8040]) ).
thf(zip_derived_cl508_1063,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl518_1064,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_1065,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1448,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl32]) ).
thf(zip_derived_cl175_1066,plain,
( ( op @ e0 @ e1 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6887,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1448,zip_derived_cl175]) ).
thf(zip_derived_cl7071,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl6887]) ).
thf('493',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7071]) ).
thf(zip_derived_cl488_1067,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1448_1068,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl32]) ).
thf(zip_derived_cl125_1069,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6886,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1448,zip_derived_cl125]) ).
thf(zip_derived_cl7063,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl6886]) ).
thf('494',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7063]) ).
thf(zip_derived_cl500_1070,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl518_1071,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29_1072,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1442,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl155_1073,plain,
( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6663,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1442,zip_derived_cl155]) ).
thf(zip_derived_cl6965,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e3 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl6663]) ).
thf('495',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6965]) ).
thf(zip_derived_cl490_1074,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1442_1075,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl123_1076,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6662,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1442,zip_derived_cl123]) ).
thf(zip_derived_cl6880,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl6662]) ).
thf('496',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6880]) ).
thf(zip_derived_cl510_1077,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1441_1078,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl173_1079,plain,
( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6606,plain,
( ( ( op @ e0 @ e1 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl173]) ).
thf(zip_derived_cl6816,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e1 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl6606]) ).
thf('497',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6816]) ).
thf(zip_derived_cl518_1080,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_1081,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1444,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl404_1082,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl159,plain,
( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3092,plain,
( ( ( op @ e1 @ e2 )
!= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl159]) ).
thf(zip_derived_cl6781,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e2 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl3092]) ).
thf('498',plain,
( ( ( op @ e4 @ e2 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6781]) ).
thf(zip_derived_cl1444_1083,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl480_1084,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl6776,plain,
( ( e2 = e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl480]) ).
thf(zip_derived_cl188_1085,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('499',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6776,zip_derived_cl188]) ).
thf(zip_derived_cl1444_1086,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl478_1087,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl6775,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl478]) ).
thf(zip_derived_cl191_1088,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('500',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6775,zip_derived_cl191]) ).
thf(zip_derived_cl1444_1089,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl477_1090,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl6774,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl477]) ).
thf(zip_derived_cl194_1091,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('501',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6774,zip_derived_cl194]) ).
thf(zip_derived_cl485_1092,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1441_1093,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl170_1094,plain,
( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6605,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl170]) ).
thf(zip_derived_cl6767,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e1 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl6605]) ).
thf('502',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6767]) ).
thf(zip_derived_cl440_1095,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1441_1096,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl105_1097,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6603,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl105]) ).
thf(zip_derived_cl6758,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6603]) ).
thf('503',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6758]) ).
thf(zip_derived_cl1443_1098,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl444_1099,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl109_1100,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2617,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl109]) ).
thf(zip_derived_cl6722,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl2617]) ).
thf('504',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6722]) ).
thf(zip_derived_cl1443_1101,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl457_1102,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6715,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1443,zip_derived_cl457]) ).
thf(zip_derived_cl194_1103,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('505',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6715,zip_derived_cl194]) ).
thf(zip_derived_cl1442_1104,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl474_1105,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl6666,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1442,zip_derived_cl474]) ).
thf(zip_derived_cl188_1106,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('506',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6666,zip_derived_cl188]) ).
thf(zip_derived_cl1442_1107,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl473_1108,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl6665,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1442,zip_derived_cl473]) ).
thf(zip_derived_cl190_1109,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('507',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6665,zip_derived_cl190]) ).
thf(zip_derived_cl1442_1110,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl472_1111,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl6664,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1442,zip_derived_cl472]) ).
thf(zip_derived_cl193_1112,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('508',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6664,zip_derived_cl193]) ).
thf(zip_derived_cl481_1113,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl518_1114,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_1115,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1440,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl117_1116,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6545,plain,
( ( ( op @ e1 @ e2 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl117]) ).
thf(zip_derived_cl6657,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e2 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl6545]) ).
thf('509',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6657]) ).
thf(zip_derived_cl476_1117,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1440_1118,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl116_1119,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6544,plain,
( ( ( op @ e1 @ e3 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl116]) ).
thf(zip_derived_cl6651,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl6544]) ).
thf('510',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6651]) ).
thf(zip_derived_cl1441_1120,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl430_1121,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101_1122,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2170,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl101]) ).
thf(zip_derived_cl6625,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl2170]) ).
thf('511',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6625]) ).
thf(zip_derived_cl1441_1123,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl420_1124,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl99_1125,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1835,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl99]) ).
thf(zip_derived_cl6615,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl1835]) ).
thf('512',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6615]) ).
thf(zip_derived_cl1441_1126,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl869,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e1 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl6611,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
!= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl869]) ).
thf('513',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e1 )
= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6611]) ).
thf(zip_derived_cl1441_1127,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl432_1128,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6607,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1441,zip_derived_cl432]) ).
thf(zip_derived_cl193_1129,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('514',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6607,zip_derived_cl193]) ).
thf(zip_derived_cl486_1130,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl518_1131,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_1132,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1439,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl169_1133,plain,
( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6496,plain,
( ( ( op @ e1 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl169]) ).
thf(zip_derived_cl6600,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl6496]) ).
thf('515',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6600]) ).
thf(zip_derived_cl461_1134,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1439_1135,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl167_1136,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6495,plain,
( ( ( op @ e2 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl167]) ).
thf(zip_derived_cl6594,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl6495]) ).
thf('516',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6594]) ).
thf(zip_derived_cl1440_1137,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl446_1138,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2687,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl141]) ).
thf(zip_derived_cl6568,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl2687]) ).
thf('517',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6568]) ).
thf(zip_derived_cl1440_1139,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl470_1140,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl6552,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1440,zip_derived_cl470]) ).
thf(zip_derived_cl186_1141,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('518',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6552,zip_derived_cl186]) ).
thf(zip_derived_cl1440_1142,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl469_1143,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl6551,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1440,zip_derived_cl469]) ).
thf(zip_derived_cl187_1144,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('519',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6551,zip_derived_cl187]) ).
thf(zip_derived_cl1439_1145,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl406_1146,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl91_1147,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1665,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl91]) ).
thf(zip_derived_cl6517,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl1665]) ).
thf('520',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6517]) ).
thf(zip_derived_cl1439_1148,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl899,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( ( op @ e4 @ e1 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zip_derived_cl6502,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
!= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl899]) ).
thf('521',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e1 )
= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6502]) ).
thf(zip_derived_cl1439_1149,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl410_1150,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6501,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl410]) ).
thf(zip_derived_cl186_1151,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('522',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6501,zip_derived_cl186]) ).
thf(zip_derived_cl1439_1152,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl409_1153,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6500,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl409]) ).
thf(zip_derived_cl187_1154,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('523',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6500,zip_derived_cl187]) ).
thf(zip_derived_cl1439_1155,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl408_1156,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6499,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl408]) ).
thf(zip_derived_cl189_1157,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('524',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6499,zip_derived_cl189]) ).
thf(zip_derived_cl1439_1158,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl407_1159,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6498,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl407]) ).
thf(zip_derived_cl192_1160,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('525',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6498,zip_derived_cl192]) ).
thf(ax117,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e2
= ( op @ e3 @ e3 ) )
& ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e0
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl382,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ e3 @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax117]) ).
thf('526',plain,
( ( e0
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e2 )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
thf(zip_derived_cl490_1161,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1435_1162,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl180_1163,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6261,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl180]) ).
thf(zip_derived_cl6373,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl6261]) ).
thf('527',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6373]) ).
thf(zip_derived_cl474_1164,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl469_1165,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl116_1166,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3342,plain,
( ( ( op @ e1 @ e3 )
!= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl116]) ).
thf(zip_derived_cl4113,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl3342]) ).
thf('528',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4113]) ).
thf(zip_derived_cl469_1167,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl419_1168,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140_1169,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2602,plain,
( ( ( op @ e1 @ e4 )
!= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl140]) ).
thf(zip_derived_cl3357,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl2602]) ).
thf('529',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3357]) ).
thf(ax30,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e4
= ( op @ e1 @ e1 ) )
& ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl295,plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e4
!= ( op @ e1 @ e1 ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax30]) ).
thf('530',plain,
( ( e0
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e4 )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl1452_1170,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl405_1171,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6987,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1452,zip_derived_cl405]) ).
thf(zip_derived_cl186_1172,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('531',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6987,zip_derived_cl186]) ).
thf(zip_derived_cl398_1173,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl441_1174,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1175,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl976_1176,plain,
( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl6082,plain,
( ( e1
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl976]) ).
thf(zip_derived_cl10567,plain,
( ( e1
!= ( op @ e4 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6082]) ).
thf(zip_derived_cl11689,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl10567]) ).
thf('532',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11689]) ).
thf(zip_derived_cl414_1177,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl399_1178,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl93_1179,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1606,plain,
( ( ( op @ e4 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl93]) ).
thf(zip_derived_cl1970,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl1606]) ).
thf('533',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1970]) ).
thf(zip_derived_cl494_1180,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl419_1181,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl143_1182,plain,
( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2711,plain,
( ( ( op @ e0 @ e4 )
!= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl143]) ).
thf(zip_derived_cl4165,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl2711]) ).
thf('534',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4165]) ).
thf(zip_derived_cl51,plain,
( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('535',plain,
( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl448_1183,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl439_1184,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6082_1185,plain,
( ( e1
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl976]) ).
thf(zip_derived_cl10565,plain,
( ( e1
!= ( op @ e2 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6082]) ).
thf(zip_derived_cl11681,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e2 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl10565]) ).
thf('536',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e1
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e0 )
!= e2 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11681]) ).
thf(zip_derived_cl466_1186,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl451_1187,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl113_1188,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2775,plain,
( ( ( op @ e2 @ e0 )
!= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl113]) ).
thf(zip_derived_cl3261,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl2775]) ).
thf('537',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3261]) ).
thf(zip_derived_cl506_1189,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl431_1190,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl163_1191,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3273,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl163]) ).
thf(zip_derived_cl4632,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl3273]) ).
thf('538',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4632]) ).
thf(zip_derived_cl47,plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('539',plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl441_1192,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl439_1193,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2503,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl441,zip_derived_cl439]) ).
thf(zip_derived_cl187_1194,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('540',plain,
( ( ( op @ e3 @ e0 )
!= e4 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2503,zip_derived_cl187]) ).
thf('541',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl1482_1195,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl34]) ).
thf(zip_derived_cl502_1196,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl131_1197,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4471,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl131]) ).
thf(zip_derived_cl8045,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl4471]) ).
thf('542',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8045]) ).
thf(zip_derived_cl1482_1198,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl34]) ).
thf(zip_derived_cl492_1199,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl129_1200,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4080,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl129]) ).
thf(zip_derived_cl8035,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl4080]) ).
thf('543',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8035]) ).
thf(zip_derived_cl504_1201,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1444_1202,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl165_1203,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6773,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl165]) ).
thf(zip_derived_cl7050,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e2 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl6773]) ).
thf('544',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7050]) ).
thf(zip_derived_cl509_1204,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1443_1205,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl174_1206,plain,
( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6714,plain,
( ( ( op @ e0 @ e1 )
!= e2 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl174]) ).
thf(zip_derived_cl7009,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e1 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl6714]) ).
thf('545',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7009]) ).
thf(zip_derived_cl464,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1443_1207,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl115_1208,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6712,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl115]) ).
thf(zip_derived_cl6972,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl6712]) ).
thf('546',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6972]) ).
thf(zip_derived_cl1444_1209,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl429_1210,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160_1211,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3130,plain,
( ( ( op @ e1 @ e2 )
!= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl160]) ).
thf(zip_derived_cl6786,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl3130]) ).
thf('547',plain,
( ( ( op @ e3 @ e2 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6786]) ).
thf(zip_derived_cl1443_1212,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl30]) ).
thf(zip_derived_cl449_1213,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl110_1214,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2736,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl110]) ).
thf(zip_derived_cl6727,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl2736]) ).
thf('548',plain,
( ( ( op @ e2 @ e3 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6727]) ).
thf(zip_derived_cl496,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( ( op @ e0 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1440_1215,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl145_1216,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6548,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl145]) ).
thf(zip_derived_cl6707,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e4 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl6548]) ).
thf('549',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6707]) ).
thf(zip_derived_cl491_1217,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1440_1218,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl122_1219,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6547,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl122]) ).
thf(zip_derived_cl6701,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e0 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl6547]) ).
thf('550',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6701]) ).
thf(zip_derived_cl1442_1220,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl450_1221,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl151_1222,plain,
( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2857,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl151]) ).
thf(zip_derived_cl6682,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e3 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1442,zip_derived_cl2857]) ).
thf('551',plain,
( ( unit != e1 )
| ( ( op @ e2 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6682]) ).
thf(zip_derived_cl1442_1223,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl29]) ).
thf(zip_derived_cl400_1224,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl149_1225,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2814,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl149]) ).
thf(zip_derived_cl6672,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e3 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1442,zip_derived_cl2814]) ).
thf('552',plain,
( ( ( op @ e4 @ e3 )
!= e3 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6672]) ).
thf(zip_derived_cl511_1226,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1439_1227,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl172_1228,plain,
( ( op @ e0 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6497,plain,
( ( ( op @ e0 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl172]) ).
thf(zip_derived_cl6645,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl6497]) ).
thf('553',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6645]) ).
thf(zip_derived_cl1441_1229,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl28]) ).
thf(zip_derived_cl434_1230,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6609,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1441,zip_derived_cl434]) ).
thf(zip_derived_cl188_1231,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('554',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6609,zip_derived_cl188]) ).
thf(zip_derived_cl436_1232,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1439_1233,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl166_1234,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6494,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl166]) ).
thf(zip_derived_cl6588,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6494]) ).
thf('555',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6588]) ).
thf(zip_derived_cl416_1235,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1439_1236,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl95_1237,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6493,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl95]) ).
thf(zip_derived_cl6580,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl6493]) ).
thf('556',plain,
( ( unit != e1 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6580]) ).
thf(zip_derived_cl1440_1238,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl421_1239,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140_1240,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2604,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl140]) ).
thf(zip_derived_cl6563,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl2604]) ).
thf('557',plain,
( ( ( op @ e3 @ e4 )
!= e4 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6563]) ).
thf(zip_derived_cl1439_1241,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl26]) ).
thf(zip_derived_cl401_1242,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl90_1243,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1629,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl90]) ).
thf(zip_derived_cl6512,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl1629]) ).
thf('558',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6512]) ).
thf('559',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e1
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl511_1244,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl501_1245,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl130_1246,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4442,plain,
( ( ( op @ e0 @ e1 )
!= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl130]) ).
thf(zip_derived_cl5702,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e3 )
= e4 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl4442]) ).
thf('560',plain,
( ( ( op @ e0 @ e1 )
!= e4 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5702]) ).
thf(zip_derived_cl508_1247,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1466_1248,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl33]) ).
thf(zip_derived_cl174_1249,plain,
( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7451,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl174]) ).
thf(zip_derived_cl7642,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl7451]) ).
thf('561',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7642]) ).
thf(zip_derived_cl460_1250,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1455_1251,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl110_1252,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7133,plain,
( ( ( op @ e2 @ e1 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl110]) ).
thf(zip_derived_cl7411,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl7133]) ).
thf('562',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7411]) ).
thf(zip_derived_cl435_1253,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1454_1254,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl101_1255,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7076,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1454,zip_derived_cl101]) ).
thf(zip_derived_cl7279,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7076]) ).
thf('563',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7279]) ).
thf(zip_derived_cl501_1256,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl451_1257,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl154_1258,plain,
( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2938,plain,
( ( ( op @ e0 @ e3 )
!= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl154]) ).
thf(zip_derived_cl4463,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl2938]) ).
thf('564',plain,
( ( ( op @ e0 @ e3 )
!= e4 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4463]) ).
thf(zip_derived_cl499_1259,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl474_1260,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl155_1261,plain,
( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3545,plain,
( ( ( op @ e0 @ e3 )
!= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl155]) ).
thf(zip_derived_cl4878,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl3545]) ).
thf('565',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4878]) ).
thf(zip_derived_cl509_1262,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl499_1263,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl130_1264,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4364,plain,
( ( ( op @ e0 @ e1 )
!= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl130]) ).
thf(zip_derived_cl5664,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e3 )
= e2 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl4364]) ).
thf('566',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5664]) ).
thf(zip_derived_cl461_1265,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl460_1266,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl3035,plain,
( ( e4 = e3 )
<= ( ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl461,zip_derived_cl460]) ).
thf(zip_derived_cl186_1267,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('567',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3035,zip_derived_cl186]) ).
thf(zip_derived_cl502_1268,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1493_1269,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl127_1270,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8585,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl127]) ).
thf(zip_derived_cl9042,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl8585]) ).
thf('568',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9042]) ).
thf(zip_derived_cl504_1271,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1490_1272,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl162_1273,plain,
( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8429,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl162]) ).
thf(zip_derived_cl8962,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e2 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl8429]) ).
thf('569',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8962]) ).
thf(zip_derived_cl479_1274,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1490_1275,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl159_1276,plain,
( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8428,plain,
( ( ( op @ e1 @ e2 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl159]) ).
thf(zip_derived_cl8953,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl8428]) ).
thf('570',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8953]) ).
thf(zip_derived_cl435_1277,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1487_1278,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl99_1279,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8261,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl99]) ).
thf(zip_derived_cl8647,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl8261]) ).
thf('571',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8647]) ).
thf(zip_derived_cl1493_1280,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl494_1281,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl8589,plain,
( ( e0 = e2 )
<= ( ( ( op @ e0 @ e4 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl494]) ).
thf(zip_derived_cl194_1282,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('572',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8589,zip_derived_cl194]) ).
thf(zip_derived_cl496_1283,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( ( op @ e0 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1485_1284,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl142_1285,plain,
( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8184,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl142]) ).
thf(zip_derived_cl8579,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e4 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl8184]) ).
thf('573',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8579]) ).
thf(zip_derived_cl1492_1286,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl33]) ).
thf(zip_derived_cl410_1287,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl8544,plain,
( ( e1 = e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1492,zip_derived_cl410]) ).
thf(zip_derived_cl190_1288,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('574',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8544,zip_derived_cl190]) ).
thf(zip_derived_cl1491_1289,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl470_1290,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8488,plain,
( ( e1 = e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl470]) ).
thf(zip_derived_cl190_1291,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('575',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8488,zip_derived_cl190]) ).
thf(zip_derived_cl1491_1292,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl469_1293,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8487,plain,
( ( e1 = e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl469]) ).
thf(zip_derived_cl191_1294,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('576',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8487,zip_derived_cl191]) ).
thf(zip_derived_cl1490_1295,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).
thf(zip_derived_cl402_1296,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8430,plain,
( ( e2 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl402]) ).
thf(zip_derived_cl194_1297,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('577',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8430,zip_derived_cl194]) ).
thf(zip_derived_cl1489_1298,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl446_1299,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl8368,plain,
( ( e2 = e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl446]) ).
thf(zip_derived_cl187_1300,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('578',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e4 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8368,zip_derived_cl187]) ).
thf(zip_derived_cl487_1301,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_1302,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125_1303,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3861,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl125]) ).
thf(zip_derived_cl5230,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl3861]) ).
thf('579',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5230]) ).
thf(zip_derived_cl507_1304,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl482_1305,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl175_1306,plain,
( ( op @ e0 @ e1 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3862,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl175]) ).
thf(zip_derived_cl5236,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl3862]) ).
thf('580',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5236]) ).
thf(zip_derived_cl1448_1307,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl32]) ).
thf(zip_derived_cl482_1308,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl6888,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1448,zip_derived_cl482]) ).
thf(zip_derived_cl195_1309,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('581',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6888,zip_derived_cl195]) ).
thf(zip_derived_cl497_1310,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl422_1311,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl153_1312,plain,
( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2915,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl153]) ).
thf(zip_derived_cl4301,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl2915]) ).
thf('582',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4301]) ).
thf(zip_derived_cl427_1313,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl422_1314,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl98_1315,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1906,plain,
( ( ( op @ e3 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl98]) ).
thf(zip_derived_cl2271,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl1906]) ).
thf('583',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2271]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_15
=> ( ( ( op @ e3 @ e0 )
!= e3 )
& ( ( op @ e0 @ e0 )
= e3 )
& ( ( op @ e3 @ e3 )
= e0 ) ) ) ).
thf(zip_derived_cl242,plain,
( ( ( op @ e0 @ e0 )
= e3 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('584',plain,
( ~ zip_tseitin_15
| ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_8
=> ( ( ( op @ e1 @ e3 )
!= e1 )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ) ).
thf(zip_derived_cl222,plain,
( ( ( op @ e1 @ e1 )
= e3 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('585',plain,
( ~ zip_tseitin_8
| ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl222]) ).
thf(zip_derived_cl245,plain,
( ( ( op @ e1 @ e1 )
= e3 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('586',plain,
( ~ zip_tseitin_16
| ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf(zip_derived_cl485_1316,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl470_1317,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl119_1318,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3389,plain,
( ( ( op @ e1 @ e1 )
!= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl119]) ).
thf(zip_derived_cl4354,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3389]) ).
thf('587',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4354]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_13
=> ( ( ( op @ e2 @ e3 )
!= e2 )
& ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ) ).
thf(zip_derived_cl237,plain,
( ( ( op @ e2 @ e2 )
= e3 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('588',plain,
( ~ zip_tseitin_13
| ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl247,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('589',plain,
( ~ zip_tseitin_17
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zf_stmt_14,axiom,
( zip_tseitin_22
=> ( ( ( op @ e4 @ e2 )
!= e4 )
& ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e4 @ e4 )
= e2 ) ) ) ).
thf(zip_derived_cl262,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('590',plain,
( ( ( op @ e4 @ e2 )
!= e4 )
| ~ zip_tseitin_22 ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl496_1319,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( ( op @ e0 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1453_1320,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl144,plain,
( ( op @ e0 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7026,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl144]) ).
thf(zip_derived_cl7272,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e4 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl7026]) ).
thf('591',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7272]) ).
thf(zip_derived_cl471_1321,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1453_1322,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl141_1323,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7025,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl141]) ).
thf(zip_derived_cl7264,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e4 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl7025]) ).
thf('592',plain,
( ( ( op @ e1 @ e4 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7264]) ).
thf(zip_derived_cl1456_1324,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl30]) ).
thf(zip_derived_cl455_1325,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl7186,plain,
( ( e2 = e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1456,zip_derived_cl455]) ).
thf(zip_derived_cl188_1326,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('593',plain,
( ( ( op @ e2 @ e2 )
!= e3 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7186,zip_derived_cl188]) ).
thf(zip_derived_cl456_1327,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1452_1328,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl157_1329,plain,
( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6981,plain,
( ( ( op @ e2 @ e2 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl157]) ).
thf(zip_derived_cl7130,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e2 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl6981]) ).
thf('594',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7130]) ).
thf(zip_derived_cl1454_1330,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl875,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl7085,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
!= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1454,zip_derived_cl875]) ).
thf('595',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7085]) ).
thf(zip_derived_cl1452_1331,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl905,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
<= ( ( op @ e4 @ e2 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl6988,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
!= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl905]) ).
thf('596',plain,
( ( unit != e2 )
| ( ( op @ e4 @ e2 )
= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6988]) ).
thf(zip_derived_cl1483_1332,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl34]) ).
thf(zip_derived_cl492_1333,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl127_1334,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4079,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl127]) ).
thf(zip_derived_cl8096,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl4079]) ).
thf('597',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8096]) ).
thf(zip_derived_cl1453_1335,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl442_1336,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl7027,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl442]) ).
thf(zip_derived_cl192_1337,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('598',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7027,zip_derived_cl192]) ).
thf(zip_derived_cl422_1338,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl417_1339,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96_1340,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1734,plain,
( ( ( op @ e3 @ e3 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl96]) ).
thf(zip_derived_cl2160,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl1734]) ).
thf('599',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2160]) ).
thf(zf_stmt_15,axiom,
( zip_tseitin_19
=> ( ( ( op @ e3 @ e4 )
!= e3 )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ) ).
thf(zip_derived_cl254,plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('600',plain,
( ~ zip_tseitin_19
| ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl1485_1341,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl394_1342,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl8187,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl394]) ).
thf(zip_derived_cl187_1343,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('601',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8187,zip_derived_cl187]) ).
thf(zip_derived_cl451_1344,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl439_1345,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1346,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl966_1347,plain,
( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl6064,plain,
( ( e4
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl966]) ).
thf(zip_derived_cl10436,plain,
( ( e4
!= ( op @ e2 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6064]) ).
thf(zip_derived_cl11450,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e2 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl10436]) ).
thf('602',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e0 )
!= e2 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11450]) ).
thf('603',plain,
( ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl52,plain,
( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('604',plain,
( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl463_1348,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl448_1349,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl113_1350,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2728,plain,
( ( ( op @ e2 @ e0 )
!= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl113]) ).
thf(zip_derived_cl3122,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl2728]) ).
thf('605',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3122]) ).
thf(zip_derived_cl439_1351,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1352,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl965_1353,plain,
( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl5842,plain,
( ( e2
!= ( op @ e3 @ e0 ) )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl965]) ).
thf(zip_derived_cl9310,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl5842]) ).
thf('606',plain,
( ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9310]) ).
thf(zip_derived_cl476_1354,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl438_1355,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6064_1356,plain,
( ( e4
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl966]) ).
thf(zip_derived_cl10435,plain,
( ( e4
!= ( op @ e1 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6064]) ).
thf(zip_derived_cl11442,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl10435]) ).
thf('607',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11442]) ).
thf(zip_derived_cl53,plain,
( ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('608',plain,
( ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl503_1357,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl428_1358,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl163_1359,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3270,plain,
( ( ( op @ e0 @ e2 )
!= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl163]) ).
thf(zip_derived_cl4527,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl3270]) ).
thf('609',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4527]) ).
thf(zip_derived_cl499_1360,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl422_1361,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1145_1362,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl5962,plain,
( ( e2
!= ( op @ e0 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl1145]) ).
thf(zip_derived_cl9862,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl5962]) ).
thf('610',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9862]) ).
thf(zip_derived_cl499_1363,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl498_1364,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl4367,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl499,zip_derived_cl498]) ).
thf(zip_derived_cl191_1365,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('611',plain,
( ( ( op @ e0 @ e3 )
!= e1 )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4367,zip_derived_cl191]) ).
thf(zip_derived_cl50,plain,
( ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('612',plain,
( ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl508_1366,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1492_1367,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl33]) ).
thf(zip_derived_cl172_1368,plain,
( ( op @ e0 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8541,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl172]) ).
thf(zip_derived_cl9025,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl8541]) ).
thf('613',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9025]) ).
thf(zip_derived_cl433_1369,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1492_1370,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl33]) ).
thf(zip_derived_cl166_1371,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8538,plain,
( ( ( op @ e3 @ e1 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl166]) ).
thf(zip_derived_cl9007,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl8538]) ).
thf('614',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9007]) ).
thf(zip_derived_cl1493_1372,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl493_1373,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl8588,plain,
( ( e0 = e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl493]) ).
thf(zip_derived_cl195_1374,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('615',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8588,zip_derived_cl195]) ).
thf(zip_derived_cl1488_1375,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl399_1376,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl8327,plain,
( ( e3 = e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1488,zip_derived_cl399]) ).
thf(zip_derived_cl188_1377,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('616',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8327,zip_derived_cl188]) ).
thf(zip_derived_cl1487_1378,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl28]) ).
thf(zip_derived_cl418_1379,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl8267,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl418]) ).
thf(zip_derived_cl190_1380,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('617',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8267,zip_derived_cl190]) ).
thf(zip_derived_cl489_1381,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl474_1382,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl123_1383,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3544,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl123]) ).
thf(zip_derived_cl4872,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl3544]) ).
thf('618',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4872]) ).
thf(zip_derived_cl489_1384,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1444_1385,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl31]) ).
thf(zip_derived_cl124_1386,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6772,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl124]) ).
thf(zip_derived_cl7016,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl6772]) ).
thf('619',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7016]) ).
thf(ax59,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl324,plain,
( ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax59]) ).
thf('620',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl462_1387,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1506_1388,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl177_1389,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8832,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl177]) ).
thf(zip_derived_cl9104,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl8832]) ).
thf('621',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9104]) ).
thf(zip_derived_cl464_1390,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1489_1391,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl112,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8362,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl112]) ).
thf(zip_derived_cl8931,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl8362]) ).
thf('622',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8931]) ).
thf(zip_derived_cl449_1392,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1489_1393,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl30]) ).
thf(zip_derived_cl106_1394,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8359,plain,
( ( ( op @ e2 @ e3 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl106]) ).
thf(zip_derived_cl8905,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl8359]) ).
thf('623',plain,
( ( ( op @ e2 @ e3 )
!= e2 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8905]) ).
thf(zip_derived_cl450_1395,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1488_1396,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl147_1397,plain,
( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8322,plain,
( ( ( op @ e2 @ e3 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl147]) ).
thf(zip_derived_cl8879,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e3 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl8322]) ).
thf('624',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8879]) ).
thf(zip_derived_cl1506_1398,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl414_1399,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl8836,plain,
( ( e0 = e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl414]) ).
thf(zip_derived_cl194_1400,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('625',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8836,zip_derived_cl194]) ).
thf(zip_derived_cl1488_1401,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl398_1402,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl8326,plain,
( ( e3 = e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1488,zip_derived_cl398]) ).
thf(zip_derived_cl190_1403,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('626',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8326,zip_derived_cl190]) ).
thf(zip_derived_cl521_1404,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl519_1405,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1496,plain,
( ( e4 = e2 )
<= ( ( unit = e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl519]) ).
thf(zip_derived_cl187_1406,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('627',plain,
( ( unit != e4 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1496,zip_derived_cl187]) ).
thf(ax35,axiom,
~ ( ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e4
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e2
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl300,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax35]) ).
thf('628',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e2
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( e4
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl300]) ).
thf(zip_derived_cl438_1407,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1408,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl988_1409,plain,
( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zip_derived_cl5872,plain,
( ( e1
!= ( op @ e3 @ e0 ) )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl988]) ).
thf(zip_derived_cl9447,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl5872]) ).
thf('629',plain,
( ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9447]) ).
thf(zip_derived_cl474_1410,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl438_1411,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1412,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl953_1413,plain,
( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
<= ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl6046,plain,
( ( e2
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl953]) ).
thf(zip_derived_cl10306,plain,
( ( e2
!= ( op @ e1 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6046]) ).
thf(zip_derived_cl11199,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl10306]) ).
thf('630',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11199]) ).
thf(zip_derived_cl501_1414,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl422_1415,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1334_1416,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl6016,plain,
( ( e4
!= ( op @ e0 @ e3 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl1334]) ).
thf(zip_derived_cl10134,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl6016]) ).
thf('631',plain,
( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10134]) ).
thf(zip_derived_cl413_1417,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl398_1418,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl93_1419,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1600,plain,
( ( ( op @ e4 @ e0 )
!= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl93]) ).
thf(zip_derived_cl1951,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl1600]) ).
thf('632',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e4 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1951]) ).
thf(zip_derived_cl46,plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('633',plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf('634',plain,
( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl476_1420,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl474_1421,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3626,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl474]) ).
thf(zip_derived_cl187_1422,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('635',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3626,zip_derived_cl187]) ).
thf(zip_derived_cl474_1423,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl399_1424,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl149_1425,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2813,plain,
( ( ( op @ e1 @ e3 )
!= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl149]) ).
thf(zip_derived_cl3551,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl2813]) ).
thf('636',plain,
( ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3551]) ).
thf('637',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf('638',plain,
( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl399_1426,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl441_1427,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6046_1428,plain,
( ( e2
!= ( op @ ( op @ e3 @ e0 ) @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl953]) ).
thf(zip_derived_cl10309,plain,
( ( e2
!= ( op @ e4 @ e3 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6046]) ).
thf(zip_derived_cl11216,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl10309]) ).
thf('639',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( ( op @ e4 @ e3 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11216]) ).
thf(zip_derived_cl499_1429,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl399_1430,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl152_1431,plain,
( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2890,plain,
( ( ( op @ e0 @ e3 )
!= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl152]) ).
thf(zip_derived_cl4371,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e0 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl2890]) ).
thf('640',plain,
( ( ( op @ e0 @ e3 )
!= e2 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4371]) ).
thf(zip_derived_cl441_1432,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl422_1433,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl954_1434,plain,
( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
<= ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5818,plain,
( ( e4
!= ( op @ e3 @ e0 ) )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl954]) ).
thf(zip_derived_cl9198,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl5818]) ).
thf('641',plain,
( ( e4
= ( op @ e3 @ ( op @ e3 @ e3 ) ) )
| ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9198]) ).
thf(zip_derived_cl501_1435,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl476_1436,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl155_1437,plain,
( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3623,plain,
( ( ( op @ e0 @ e3 )
!= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl155]) ).
thf(zip_derived_cl4988,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e0 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl3623]) ).
thf('642',plain,
( ( ( op @ e0 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4988]) ).
thf(zip_derived_cl489_1438,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl487_1439,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4034,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl487]) ).
thf(zip_derived_cl194_1440,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('643',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4034,zip_derived_cl194]) ).
thf(zip_derived_cl471_1441,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl467_1442,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3433,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl467]) ).
thf(zip_derived_cl192_1443,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('644',plain,
( ( ( op @ e1 @ e4 )
!= e4 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3433,zip_derived_cl192]) ).
thf(zip_derived_cl498_1444,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl422_1445,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1048_1446,plain,
( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
<= ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl5902,plain,
( ( e1
!= ( op @ e0 @ e3 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl1048]) ).
thf(zip_derived_cl9585,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e3 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl5902]) ).
thf('645',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e1
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( ( op @ e0 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9585]) ).
thf(zip_derived_cl409_1447,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl407_1448,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1684,plain,
( ( e2 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl409,zip_derived_cl407]) ).
thf(zip_derived_cl194_1449,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('646',plain,
( ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1684,zip_derived_cl194]) ).
thf(zip_derived_cl463_1450,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1466_1451,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl33]) ).
thf(zip_derived_cl115_1452,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7449,plain,
( ( ( op @ e2 @ e0 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl115]) ).
thf(zip_derived_cl7579,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e0 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl7449]) ).
thf('647',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7579]) ).
thf(zip_derived_cl488_1453,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1458_1454,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl124_1455,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7295,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl124]) ).
thf(zip_derived_cl7542,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl7295]) ).
thf('648',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7542]) ).
thf(zip_derived_cl1466_1456,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl33]) ).
thf(zip_derived_cl457_1457,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl7452,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1466,zip_derived_cl457]) ).
thf(zip_derived_cl195_1458,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('649',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7452,zip_derived_cl195]) ).
thf(zip_derived_cl1458_1459,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl479_1460,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl7298,plain,
( ( e1 = e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1458,zip_derived_cl479]) ).
thf(zip_derived_cl191_1461,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('650',plain,
( ( ( op @ e1 @ e2 )
!= e2 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7298,zip_derived_cl191]) ).
thf(zip_derived_cl466_1462,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1453_1463,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl112_1464,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7024,plain,
( ( ( op @ e2 @ e0 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl112]) ).
thf(zip_derived_cl7257,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e0 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl7024]) ).
thf('651',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7257]) ).
thf(zip_derived_cl481_1465,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1452_1466,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl159_1467,plain,
( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6982,plain,
( ( ( op @ e1 @ e2 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl159]) ).
thf(zip_derived_cl7168,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e2 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl6982]) ).
thf('652',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7168]) ).
thf(zip_derived_cl1455_1468,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl400_1469,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl147_1470,plain,
( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2766,plain,
( ( ( op @ e2 @ e3 )
!= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl147]) ).
thf(zip_derived_cl7150,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e3 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl2766]) ).
thf('653',plain,
( ( ( op @ e4 @ e3 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7150]) ).
thf(zip_derived_cl1455_1471,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl451_1472,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7140,plain,
( ( e3 = e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl451]) ).
thf(zip_derived_cl186_1473,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('654',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7140,zip_derived_cl186]) ).
thf(zip_derived_cl416_1474,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1452_1475,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl94_1476,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6979,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl94]) ).
thf(zip_derived_cl7121,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl6979]) ).
thf('655',plain,
( ( unit != e2 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7121]) ).
thf(zip_derived_cl1454_1477,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl28]) ).
thf(zip_derived_cl420_1478,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl97_1479,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1834,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl97]) ).
thf(zip_derived_cl7089,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1454,zip_derived_cl1834]) ).
thf('656',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7089]) ).
thf(zip_derived_cl1453_1480,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl445_1481,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl7030,plain,
( ( e4 = e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl445]) ).
thf(zip_derived_cl186_1482,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('657',plain,
( ( unit != e2 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7030,zip_derived_cl186]) ).
thf(zip_derived_cl1452_1483,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl401_1484,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl88_1485,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1628,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl88]) ).
thf(zip_derived_cl6998,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1452,zip_derived_cl1628]) ).
thf('658',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6998]) ).
thf(zip_derived_cl1452_1486,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl26]) ).
thf(zip_derived_cl404_1487,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6986,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e2 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1452,zip_derived_cl404]) ).
thf(zip_derived_cl187_1488,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('659',plain,
( ( ( op @ e4 @ e2 )
!= e2 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6986,zip_derived_cl187]) ).
thf(zip_derived_cl486_1489,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl485_1490,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3984,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl485]) ).
thf(zip_derived_cl186_1491,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('660',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3984,zip_derived_cl186]) ).
thf(zip_derived_cl507_1492,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1483_1493,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl34]) ).
thf(zip_derived_cl131_1494,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8068,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl131]) ).
thf(zip_derived_cl8407,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl8068]) ).
thf('661',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8407]) ).
thf(zip_derived_cl1464_1495,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl33]) ).
thf(zip_derived_cl507_1496,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl7352,plain,
( ( e1 = e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1464,zip_derived_cl507]) ).
thf(zip_derived_cl195_1497,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('662',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7352,zip_derived_cl195]) ).
thf(zip_derived_cl507_1498,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1493_1499,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl34]) ).
thf(zip_derived_cl129_1500,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8586,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl129]) ).
thf(zip_derived_cl9051,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl8586]) ).
thf('663',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9051]) ).
thf(zip_derived_cl1440_1501,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl467_1502,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl6549,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1440,zip_derived_cl467]) ).
thf(zip_derived_cl192_1503,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('664',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6549,zip_derived_cl192]) ).
thf(ax105,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
& ( e0
= ( op @ e3 @ e3 ) )
& ( e2
= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
& ( e1
= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) ).
thf(zip_derived_cl370,plain,
( ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e0
!= ( op @ e3 @ e3 ) )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(cnf,[status(esa)],[ax105]) ).
thf('665',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( e2
!= ( op @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ e3 ) )
| ( e4
!= ( op @ ( op @ e3 @ e3 ) @ e3 ) )
| ( e1
!= ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
thf(zip_derived_cl491_1504,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl476_1505,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl123_1506,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3622,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl123]) ).
thf(zip_derived_cl4982,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3622]) ).
thf('666',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4982]) ).
thf(zip_derived_cl473_1507,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1491_1508,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl116_1509,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8481,plain,
( ( ( op @ e1 @ e3 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl116]) ).
thf(zip_derived_cl8970,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl8481]) ).
thf('667',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( unit != e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8970]) ).
thf(zip_derived_cl475_1510,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1488_1511,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl29]) ).
thf(zip_derived_cl149_1512,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8323,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl149]) ).
thf(zip_derived_cl8888,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl8323]) ).
thf('668',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8888]) ).
thf(zip_derived_cl487_1513,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1506_1514,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl35]) ).
thf(zip_derived_cl179_1515,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8833,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl179]) ).
thf(zip_derived_cl9113,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl8833]) ).
thf('669',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9113]) ).
thf(zip_derived_cl488_1516,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1491_1517,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl122_1518,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8484,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl122]) ).
thf(zip_derived_cl8996,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl8484]) ).
thf('670',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8996]) ).
thf(zip_derived_cl487_1519,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1504_1520,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl35]) ).
thf(zip_derived_cl181_1521,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8728,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl181]) ).
thf(zip_derived_cl9068,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl8728]) ).
thf('671',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9068]) ).
thf(zip_derived_cl1458_1522,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl477_1523,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl7297,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1458,zip_derived_cl477]) ).
thf(zip_derived_cl195_1524,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('672',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7297,zip_derived_cl195]) ).
thf(zip_derived_cl475_1525,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1455_1526,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl29]) ).
thf(zip_derived_cl151_1527,plain,
( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7135,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl151]) ).
thf(zip_derived_cl7425,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl7135]) ).
thf('673',plain,
( ( ( op @ e1 @ e3 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7425]) ).
thf(zip_derived_cl1458_1528,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl480_1529,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl7299,plain,
( ( e1 = e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1458,zip_derived_cl480]) ).
thf(zip_derived_cl190_1530,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('674',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7299,zip_derived_cl190]) ).
thf(zip_derived_cl1491_1531,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl32]) ).
thf(zip_derived_cl467_1532,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8486,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl467]) ).
thf(zip_derived_cl195_1533,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('675',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8486,zip_derived_cl195]) ).
thf(zip_derived_cl1448_1534,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl32]) ).
thf(zip_derived_cl484_1535,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl6889,plain,
( ( e1 = e2 )
<= ( ( ( op @ e1 @ e1 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1448,zip_derived_cl484]) ).
thf(zip_derived_cl191_1536,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('676',plain,
( ( unit != e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6889,zip_derived_cl191]) ).
thf(zip_derived_cl484_1537,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl474_1538,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl120_1539,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3543,plain,
( ( ( op @ e1 @ e1 )
!= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl120]) ).
thf(zip_derived_cl4866,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl3543]) ).
thf('677',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4866]) ).
thf('678',plain,
( ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl472_1540,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl422_1541,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl150_1542,plain,
( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2832,plain,
( ( ( op @ e1 @ e3 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl150]) ).
thf(zip_derived_cl3481,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl2832]) ).
thf('679',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3481]) ).
thf(zip_derived_cl447_1543,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl422_1544,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl148_1545,plain,
( ( op @ e2 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2788,plain,
( ( ( op @ e2 @ e3 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl148]) ).
thf(zip_derived_cl3182,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e2 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl2788]) ).
thf('680',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e2 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3182]) ).
thf(zip_derived_cl422_1546,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl397_1547,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl146_1548,plain,
( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2746,plain,
( ( ( op @ e3 @ e3 )
!= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl146]) ).
thf(zip_derived_cl3013,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl2746]) ).
thf('681',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3013]) ).
thf(zip_derived_cl426_1549,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl422_1550,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2053,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl422]) ).
thf(zip_derived_cl192_1551,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('682',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2053,zip_derived_cl192]) ).
thf(zip_derived_cl432_1552,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl422_1553,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl100_1554,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1907,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl100]) ).
thf(zip_derived_cl2277,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl1907]) ).
thf('683',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2277]) ).
thf(zip_derived_cl424_1555,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl422_1556,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1977,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl422]) ).
thf(zip_derived_cl194_1557,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('684',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1977,zip_derived_cl194]) ).
thf(zip_derived_cl423_1558,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl422_1559,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1942,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl423,zip_derived_cl422]) ).
thf(zip_derived_cl195_1560,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('685',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1942,zip_derived_cl195]) ).
thf(zip_derived_cl515,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1435_1561,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl28]) ).
thf(zip_derived_cl183_1562,plain,
( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6262,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1435,zip_derived_cl183]) ).
thf(zip_derived_cl6429,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl6262]) ).
thf('686',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6429]) ).
thf(zip_derived_cl515_1563,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl510_1564,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl135,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4706,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl135]) ).
thf(zip_derived_cl5791,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e1 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4706]) ).
thf('687',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5791]) ).
thf(zip_derived_cl515_1565,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl505_1566,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl134,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4590,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl134]) ).
thf(zip_derived_cl5755,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e2 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4590]) ).
thf('688',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e0 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5755]) ).
thf(zip_derived_cl515_1567,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl500_1568,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl133_1569,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4391,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl133]) ).
thf(zip_derived_cl5689,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e3 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4391]) ).
thf('689',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5689]) ).
thf(zip_derived_cl515_1570,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl495_1571,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl132,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4205,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl132]) ).
thf(zip_derived_cl5593,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e4 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4205]) ).
thf('690',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5593]) ).
thf(zip_derived_cl515_1572,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl490_1573,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl185_1574,plain,
( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4040,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl185]) ).
thf(zip_derived_cl5491,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4040]) ).
thf('691',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5491]) ).
thf(zip_derived_cl515_1575,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl465_1576,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl184_1577,plain,
( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4010,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl184]) ).
thf(zip_derived_cl5461,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl4010]) ).
thf('692',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e0 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5461]) ).
thf(zip_derived_cl515_1578,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl415_1579,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl182_1580,plain,
( ( op @ e0 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3977,plain,
( ( ( op @ e0 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl182]) ).
thf(zip_derived_cl5389,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl3977]) ).
thf('693',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5389]) ).
thf(zip_derived_cl515_1581,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl514_1582,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4822,plain,
( ( e3 = e2 )
<= ( ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl515,zip_derived_cl514]) ).
thf(zip_derived_cl188_1583,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('694',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4822,zip_derived_cl188]) ).
thf(zf_stmt_16,axiom,
( zip_tseitin_3
=> ( ( ( op @ e0 @ e3 )
!= e0 )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ) ).
thf(zip_derived_cl205,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('695',plain,
( ( ( op @ e0 @ e3 )
!= e0 )
| ~ zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl207,plain,
( ( ( op @ e0 @ e0 )
= e3 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('696',plain,
( ~ zip_tseitin_3
| ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf('697',plain,
( ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl267,plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('698',plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ~ zip_tseitin_23 ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl1434_1584,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl471_1585,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145_1586,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3432,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl145]) ).
thf(zip_derived_cl6226,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e4 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl3432]) ).
thf('699',plain,
( ( ( op @ e1 @ e4 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6226]) ).
thf(zip_derived_cl1437_1587,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl30]) ).
thf(zip_derived_cl444_1588,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl112_1589,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2618,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl112]) ).
thf(zip_derived_cl6387,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1437,zip_derived_cl2618]) ).
thf('700',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6387]) ).
thf(zip_derived_cl1434_1590,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl27]) ).
thf(zip_derived_cl446_1591,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl144_1592,plain,
( ( op @ e0 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2724,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl144]) ).
thf(zip_derived_cl6221,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1434,zip_derived_cl2724]) ).
thf('701',plain,
( ( ( op @ e2 @ e4 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6221]) ).
thf(zip_derived_cl1456_1593,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl30]) ).
thf(zip_derived_cl453_1594,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl7185,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e2 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1456,zip_derived_cl453]) ).
thf(zip_derived_cl191_1595,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('702',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7185,zip_derived_cl191]) ).
thf(zip_derived_cl405_1596,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl466_1597,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_1598,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl961_1599,plain,
( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl6058,plain,
( ( e3
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl961]) ).
thf(zip_derived_cl10395,plain,
( ( e3
!= ( op @ e4 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl6058]) ).
thf(zip_derived_cl11375,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl10395]) ).
thf('703',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e2 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11375]) ).
thf(zip_derived_cl503_1600,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl452_1601,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1056_1602,plain,
( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl5908,plain,
( ( e1
!= ( op @ e0 @ e2 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1056]) ).
thf(zip_derived_cl9609,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl5908]) ).
thf('704',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( e1
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9609]) ).
thf(zip_derived_cl466_1603,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_1604,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl962_1605,plain,
( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5836,plain,
( ( e4
!= ( op @ e2 @ e0 ) )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl962]) ).
thf(zip_derived_cl9279,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl5836]) ).
thf('705',plain,
( ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9279]) ).
thf(zip_derived_cl452_1606,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl402_1607,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl157_1608,plain,
( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3008,plain,
( ( ( op @ e2 @ e2 )
!= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl157]) ).
thf(zip_derived_cl3707,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl3008]) ).
thf('706',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3707]) ).
thf('707',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl410_1609,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl407_1610,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1690,plain,
( ( e3 = e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl407]) ).
thf(zip_derived_cl193_1611,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('708',plain,
( ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1690,zip_derived_cl193]) ).
thf(zip_derived_cl493_1612,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl402_1613,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6078_1614,plain,
( ( e1
!= ( op @ ( op @ e4 @ e2 ) @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl972]) ).
thf(zip_derived_cl10543,plain,
( ( e1
!= ( op @ e0 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl6078]) ).
thf(zip_derived_cl11622,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl10543]) ).
thf('709',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11622]) ).
thf(zip_derived_cl445_1615,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl394_1616,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1238,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl5994,plain,
( ( e3
!= ( op @ e2 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1238]) ).
thf(zip_derived_cl10026,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl5994]) ).
thf('710',plain,
( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10026]) ).
thf(zip_derived_cl495_1617,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl493_1618,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl4207,plain,
( ( e3 = e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl495,zip_derived_cl493]) ).
thf(zip_derived_cl190_1619,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('711',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e0 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4207,zip_derived_cl190]) ).
thf(ax93,axiom,
~ ( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e2
= ( op @ e4 @ e4 ) )
& ( e1
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl358,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e2
!= ( op @ e4 @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax93]) ).
thf('712',plain,
( ( e1
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl485_1620,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl484_1621,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3964,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl484]) ).
thf(zip_derived_cl188_1622,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('713',plain,
( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3964,zip_derived_cl188]) ).
thf('714',plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl495_1623,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl402_1624,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_1625,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl958,plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl6054,plain,
( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl958]) ).
thf(zip_derived_cl10368,plain,
( ( e3
!= ( op @ e0 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl6054]) ).
thf(zip_derived_cl11333,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl10368]) ).
thf('715',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11333]) ).
thf(zip_derived_cl463_1626,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl413_1627,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl177_1628,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3792,plain,
( ( ( op @ e2 @ e0 )
!= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl177]) ).
thf(zip_derived_cl5159,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl3792]) ).
thf('716',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e2 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5159]) ).
thf(zip_derived_cl79,plain,
( ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('717',plain,
( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl505_1629,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl480_1630,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl165_1631,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3783,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl165]) ).
thf(zip_derived_cl5149,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl3783]) ).
thf('718',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5149]) ).
thf(zip_derived_cl516_1632,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl515_1633,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4835,plain,
( ( e4 = e3 )
<= ( ( ( op @ e0 @ e0 )
= e3 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl515]) ).
thf(zip_derived_cl186_1634,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('719',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4835,zip_derived_cl186]) ).
thf(zip_derived_cl402_1635,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_1636,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1075_1637,plain,
( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl5916,plain,
( ( e0
!= ( op @ e4 @ e2 ) )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1075]) ).
thf(zip_derived_cl9640,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl5916]) ).
thf('720',plain,
( ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9640]) ).
thf(zip_derived_cl403_1638,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl402_1639,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1646,plain,
( ( e1 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e4 @ e2 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl403,zip_derived_cl402]) ).
thf(zip_derived_cl195_1640,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('721',plain,
( ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1646,zip_derived_cl195]) ).
thf(zip_derived_cl443_1641,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl394_1642,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1044_1643,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl5898,plain,
( ( e1
!= ( op @ e2 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1044]) ).
thf(zip_derived_cl9569,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl5898]) ).
thf('722',plain,
( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9569]) ).
thf(zip_derived_cl409_1644,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl394_1645,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl89_1646,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1540,plain,
( ( ( op @ e4 @ e1 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl89]) ).
thf(zip_derived_cl1796,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl1540]) ).
thf('723',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1796]) ).
thf(zip_derived_cl414_1647,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl394_1648,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl92_1649,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1565,plain,
( ( ( op @ e4 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl92]) ).
thf(zip_derived_cl1853,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl1565]) ).
thf('724',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1853]) ).
thf(zip_derived_cl477_1650,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl467_1651,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl117_1652,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3275,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl117]) ).
thf(zip_derived_cl4012,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl3275]) ).
thf('725',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4012]) ).
thf(zip_derived_cl467_1653,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl392_1654,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl139_1655,plain,
( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2564,plain,
( ( ( op @ e1 @ e4 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl139]) ).
thf(zip_derived_cl3280,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl2564]) ).
thf('726',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3280]) ).
thf(zip_derived_cl405_1656,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl461_1657,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl453_1658,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl961_1659,plain,
( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
<= ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl6059,plain,
( ( e3
!= ( op @ ( op @ e2 @ e1 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl961]) ).
thf(zip_derived_cl10405,plain,
( ( e3
!= ( op @ e4 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl6059]) ).
thf(zip_derived_cl11400,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl10405]) ).
thf('727',plain,
( ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11400]) ).
thf(zip_derived_cl461_1660,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl453_1661,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl962_1662,plain,
( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5837,plain,
( ( e4
!= ( op @ e2 @ e1 ) )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl962]) ).
thf(zip_derived_cl9287,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl5837]) ).
thf('728',plain,
( ( e4
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9287]) ).
thf(zip_derived_cl511_1663,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl506_1664,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl131_1665,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4616,plain,
( ( ( op @ e0 @ e1 )
!= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl131]) ).
thf(zip_derived_cl5762,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e2 )
= e4 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl4616]) ).
thf('729',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e0 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5762]) ).
thf(zip_derived_cl514_1666,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl489_1667,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl185_1668,plain,
( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4033,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl185]) ).
thf(zip_derived_cl5484,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl4033]) ).
thf('730',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e0 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5484]) ).
thf(zip_derived_cl477_1669,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl453_1670,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl959_1671,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5831,plain,
( ( e0
!= ( op @ e1 @ e2 ) )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl959]) ).
thf(zip_derived_cl9251,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl5831]) ).
thf('731',plain,
( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9251]) ).
thf(zip_derived_cl505_1672,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl405_1673,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl162_1674,plain,
( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3222,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl162]) ).
thf(zip_derived_cl4598,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl3222]) ).
thf('732',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4598]) ).
thf(zip_derived_cl470_1675,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl403_1676,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6054_1677,plain,
( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl958]) ).
thf(zip_derived_cl10369,plain,
( ( e3
!= ( op @ e1 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl6054]) ).
thf(zip_derived_cl11341,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl10369]) ).
thf('733',plain,
( ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11341]) ).
thf(zip_derived_cl403_1678,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl394_1679,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl980_1680,plain,
( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl5856,plain,
( ( e1
!= ( op @ e4 @ e2 ) )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl980]) ).
thf(zip_derived_cl9374,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl5856]) ).
thf('734',plain,
( ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9374]) ).
thf('735',plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl503_1681,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl493_1682,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl127_1683,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4124,plain,
( ( ( op @ e0 @ e2 )
!= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl127]) ).
thf(zip_derived_cl5531,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl4124]) ).
thf('736',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5531]) ).
thf(zip_derived_cl442_1684,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl394_1685,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl947_1686,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5802,plain,
( ( e0
!= ( op @ e2 @ e4 ) )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl947]) ).
thf(zip_derived_cl9130,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e2 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl5802]) ).
thf('737',plain,
( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9130]) ).
thf(zip_derived_cl494_1687,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl394_1688,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl142_1689,plain,
( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2671,plain,
( ( ( op @ e0 @ e4 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl142]) ).
thf(zip_derived_cl4160,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl2671]) ).
thf('738',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4160]) ).
thf(zip_derived_cl495_1690,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl470_1691,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145_1692,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3391,plain,
( ( ( op @ e0 @ e4 )
!= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl145]) ).
thf(zip_derived_cl4420,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl3391]) ).
thf('739',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4420]) ).
thf(zip_derived_cl480_1693,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl470_1694,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl117_1695,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3388,plain,
( ( ( op @ e1 @ e2 )
!= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl117]) ).
thf(zip_derived_cl4348,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl3388]) ).
thf('740',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4348]) ).
thf('741',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl503_1696,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl403_1697,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl162_1698,plain,
( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3220,plain,
( ( ( op @ e0 @ e2 )
!= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl162]) ).
thf(zip_derived_cl4522,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl3220]) ).
thf('742',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4522]) ).
thf(zip_derived_cl506_1699,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl456_1700,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl164_1701,plain,
( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3302,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl164]) ).
thf(zip_derived_cl4637,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl3302]) ).
thf('743',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4637]) ).
thf(zip_derived_cl466_1702,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl465_1703,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3250,plain,
( ( e4 = e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl465]) ).
thf(zip_derived_cl186_1704,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('744',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3250,zip_derived_cl186]) ).
thf(zip_derived_cl257,plain,
( ( ( op @ e0 @ e0 )
= e4 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('745',plain,
( ~ zip_tseitin_20
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl493_1705,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl392_1706,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1044_1707,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl5896,plain,
( ( e1
!= ( op @ e0 @ e4 ) )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl1044]) ).
thf(zip_derived_cl9561,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl5896]) ).
thf('746',plain,
( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e0 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9561]) ).
thf(zip_derived_cl445_1708,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl414_1709,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_1710,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl958_1711,plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl6052,plain,
( ( e3
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl958]) ).
thf(zip_derived_cl10350,plain,
( ( e3
!= ( op @ e2 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl6052]) ).
thf(zip_derived_cl11291,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl10350]) ).
thf('747',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11291]) ).
thf(zip_derived_cl456_1712,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl455_1713,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2898,plain,
( ( e4 = e3 )
<= ( ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl455]) ).
thf(zip_derived_cl186_1714,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('748',plain,
( ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2898,zip_derived_cl186]) ).
thf(zip_derived_cl414_1715,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_1716,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl957_1717,plain,
( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl5824,plain,
( ( e2
!= ( op @ e4 @ e0 ) )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl957]) ).
thf(zip_derived_cl9229,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl5824]) ).
thf('749',plain,
( ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9229]) ).
thf(zip_derived_cl516_1718,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl506_1719,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl134_1720,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4617,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl134]) ).
thf(zip_derived_cl5768,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e2 )
= e4 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl4617]) ).
thf('750',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5768]) ).
thf(ax33,axiom,
~ ( ( e1
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl298,plain,
( ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax33]) ).
thf('751',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl298]) ).
thf(zip_derived_cl477_1721,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl452_1722,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl161_1723,plain,
( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3174,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl161]) ).
thf(zip_derived_cl3913,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl3174]) ).
thf('752',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3913]) ).
thf(zip_derived_cl481_1724,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl477_1725,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3821,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl477]) ).
thf(zip_derived_cl192_1726,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('753',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3821,zip_derived_cl192]) ).
thf(zip_derived_cl480_1727,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl479_1728,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3786,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl479]) ).
thf(zip_derived_cl188_1729,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('754',plain,
( ( ( op @ e1 @ e2 )
!= e2 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3786,zip_derived_cl188]) ).
thf(zip_derived_cl480_1730,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl477_1731,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3784,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl477]) ).
thf(zip_derived_cl193_1732,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('755',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3784,zip_derived_cl193]) ).
thf(zip_derived_cl59,plain,
( ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('756',plain,
( ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl465_1733,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl415_1734,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl177_1735,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3794,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl177]) ).
thf(zip_derived_cl5173,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3794]) ).
thf('757',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5173]) ).
thf(zip_derived_cl240,plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('758',plain,
( ~ zip_tseitin_14
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl263,plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('759',plain,
( ~ zip_tseitin_22
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl470_1736,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl445_1737,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141_1738,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2652,plain,
( ( ( op @ e1 @ e4 )
!= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl141]) ).
thf(zip_derived_cl3409,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl2652]) ).
thf('760',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3409]) ).
thf(zip_derived_cl480_1739,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl463_1740,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl6058_1741,plain,
( ( e3
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl961]) ).
thf(zip_derived_cl10392,plain,
( ( e3
!= ( op @ e1 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl6058]) ).
thf(zip_derived_cl11358,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e1 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl10392]) ).
thf('761',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e1 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11358]) ).
thf(zip_derived_cl413_1742,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl403_1743,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl94_1744,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1645,plain,
( ( ( op @ e4 @ e0 )
!= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl94]) ).
thf(zip_derived_cl2074,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl1645]) ).
thf('762',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2074]) ).
thf(zip_derived_cl62,plain,
( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('763',plain,
( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl480_1745,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl405_1746,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl159_1747,plain,
( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3093,plain,
( ( ( op @ e1 @ e2 )
!= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl159]) ).
thf(zip_derived_cl3846,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl3093]) ).
thf('764',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3846]) ).
thf(zip_derived_cl506_1748,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl452_1749,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1338,plain,
( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl6022,plain,
( ( e4
!= ( op @ e0 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1338]) ).
thf(zip_derived_cl10167,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl6022]) ).
thf('765',plain,
( ( e4
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10167]) ).
thf(zip_derived_cl506_1750,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl503_1751,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl4619,plain,
( ( e4 = e1 )
<= ( ( ( op @ e0 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl503]) ).
thf(zip_derived_cl189_1752,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('766',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4619,zip_derived_cl189]) ).
thf(zip_derived_cl56,plain,
( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('767',plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl469_1753,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl413_1754,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6040_1755,plain,
( ( e2
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl949]) ).
thf(zip_derived_cl10263,plain,
( ( e2
!= ( op @ e1 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl6040]) ).
thf(zip_derived_cl11124,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl10263]) ).
thf('768',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11124]) ).
thf(ax81,axiom,
~ ( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl346,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf('769',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl346]) ).
thf(zip_derived_cl445_1756,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl443_1757,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2654,plain,
( ( e3 = e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl445,zip_derived_cl443]) ).
thf(zip_derived_cl190_1758,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('770',plain,
( ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2654,zip_derived_cl190]) ).
thf(zip_derived_cl63,plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('771',plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl466_1759,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl463_1760,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3248,plain,
( ( e4 = e1 )
<= ( ( ( op @ e2 @ e0 )
= e1 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl463]) ).
thf(zip_derived_cl189_1761,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('772',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e2 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3248,zip_derived_cl189]) ).
thf(zip_derived_cl490_1762,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl415_1763,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl179_1764,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3872,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl179]) ).
thf(zip_derived_cl5263,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3872]) ).
thf('773',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5263]) ).
thf(zip_derived_cl76,plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('774',plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl481_1765,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl479_1766,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3823,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl479]) ).
thf(zip_derived_cl187_1767,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('775',plain,
( ( ( op @ e1 @ e2 )
!= e2 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3823,zip_derived_cl187]) ).
thf(zip_derived_cl474_1768,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl473_1769,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3547,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl191_1770,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('776',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3547,zip_derived_cl191]) ).
thf(zip_derived_cl491_1771,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl481_1772,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl124_1773,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3819,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl124]) ).
thf(zip_derived_cl5192,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3819]) ).
thf('777',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5192]) ).
thf(zip_derived_cl495_1774,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl392_1775,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1238_1776,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl5992,plain,
( ( e3
!= ( op @ e0 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl1238]) ).
thf(zip_derived_cl10010,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl5992]) ).
thf('778',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e0 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10010]) ).
thf(zip_derived_cl456_1777,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl452_1778,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2895,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl452]) ).
thf(zip_derived_cl192_1779,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('779',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2895,zip_derived_cl192]) ).
thf('780',plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl469_1780,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl394_1781,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl139_1782,plain,
( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2566,plain,
( ( ( op @ e1 @ e4 )
!= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl139]) ).
thf(zip_derived_cl3352,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl2566]) ).
thf('781',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3352]) ).
thf(zip_derived_cl413_1783,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl392_1784,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl980_1785,plain,
( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl5854,plain,
( ( e1
!= ( op @ e4 @ e0 ) )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl980]) ).
thf(zip_derived_cl9366,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl5854]) ).
thf('782',plain,
( ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9366]) ).
thf(zip_derived_cl470_1786,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl413_1787,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6052_1788,plain,
( ( e3
!= ( op @ ( op @ e4 @ e0 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl958]) ).
thf(zip_derived_cl10349,plain,
( ( e3
!= ( op @ e1 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl6052]) ).
thf(zip_derived_cl11283,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl10349]) ).
thf('783',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11283]) ).
thf(zip_derived_cl82,plain,
( ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('784',plain,
( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl463_1789,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl443_1790,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl112_1791,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2596,plain,
( ( ( op @ e2 @ e0 )
!= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl112]) ).
thf(zip_derived_cl3117,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl2596]) ).
thf('785',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3117]) ).
thf(zip_derived_cl494_1792,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl392_1793,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1141_1794,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl5956,plain,
( ( e2
!= ( op @ e0 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl1141]) ).
thf(zip_derived_cl9838,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl5956]) ).
thf('786',plain,
( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9838]) ).
thf(zip_derived_cl494_1795,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl493_1796,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl4156,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl493]) ).
thf(zip_derived_cl191_1797,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('787',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4156,zip_derived_cl191]) ).
thf(ax83,axiom,
~ ( ( e3
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl348,plain,
( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf('788',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zip_derived_cl58,plain,
( ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('789',plain,
( ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl481_1798,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl463_1799,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl6070_1800,plain,
( ( e4
!= ( op @ ( op @ e2 @ e0 ) @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl970]) ).
thf(zip_derived_cl10478,plain,
( ( e4
!= ( op @ e1 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl6070]) ).
thf(zip_derived_cl11517,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e1 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl10478]) ).
thf('790',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( e4
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11517]) ).
thf(zip_derived_cl463_1801,plain,
( ( ( op @ e2 @ e0 )
= e1 )
<= ( ( op @ e2 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl452_1802,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1012_1803,plain,
( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl288]) ).
thf(zip_derived_cl5884,plain,
( ( e1
!= ( op @ e2 @ e0 ) )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1012]) ).
thf(zip_derived_cl9504,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl5884]) ).
thf('791',plain,
( ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9504]) ).
thf(zip_derived_cl43,plain,
( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('792',plain,
( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl405_1804,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl404_1805,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1660,plain,
( ( e3 = e2 )
<= ( ( ( op @ e4 @ e2 )
= e2 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl404]) ).
thf(zip_derived_cl188_1806,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('793',plain,
( ( ( op @ e4 @ e2 )
!= e2 )
| ( ( op @ e4 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1660,zip_derived_cl188]) ).
thf(zip_derived_cl405_1807,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl403_1808,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1659,plain,
( ( e3 = e1 )
<= ( ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl403]) ).
thf(zip_derived_cl190_1809,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('794',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1659,zip_derived_cl190]) ).
thf(zip_derived_cl414_1810,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl413_1811,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1713,plain,
( ( e2 = e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl414,zip_derived_cl413]) ).
thf(zip_derived_cl191_1812,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('795',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e4 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1713,zip_derived_cl191]) ).
thf('796',plain,
( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl414_1813,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl409_1814,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl95_1815,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1683,plain,
( ( ( op @ e4 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl95]) ).
thf(zip_derived_cl2137,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e4 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl1683]) ).
thf('797',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2137]) ).
thf(zip_derived_cl490_1816,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl465_1817,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl181_1818,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3952,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl181]) ).
thf(zip_derived_cl5347,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3952]) ).
thf('798',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5347]) ).
thf(zip_derived_cl69,plain,
( ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('799',plain,
( ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl470_1819,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl469_1820,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3394,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl469]) ).
thf(zip_derived_cl188_1821,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('800',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3394,zip_derived_cl188]) ).
thf(zip_derived_cl505_1822,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl452_1823,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1241_1824,plain,
( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl5998,plain,
( ( e3
!= ( op @ e0 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1241]) ).
thf(zip_derived_cl10034,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl5998]) ).
thf('801',plain,
( ( e3
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10034]) ).
thf(zip_derived_cl455_1825,plain,
( ( ( op @ e2 @ e2 )
= e3 )
<= ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl452_1826,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2870,plain,
( ( e3 = e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl455,zip_derived_cl452]) ).
thf(zip_derived_cl193_1827,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('802',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2870,zip_derived_cl193]) ).
thf(zip_derived_cl481_1828,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl480_1829,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3824,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl480]) ).
thf(zip_derived_cl186_1830,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('803',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3824,zip_derived_cl186]) ).
thf(zip_derived_cl442_1831,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl392_1832,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137_1833,plain,
( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2476,plain,
( ( ( op @ e2 @ e4 )
!= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl137]) ).
thf(zip_derived_cl2605,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl2476]) ).
thf('804',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2605]) ).
thf(zip_derived_cl394_1834,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl392_1835,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1541,plain,
( ( e2 = e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl392]) ).
thf(zip_derived_cl194_1836,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('805',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1541,zip_derived_cl194]) ).
thf(zip_derived_cl516_1837,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl466_1838,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl184_1839,plain,
( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4011,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl184]) ).
thf(zip_derived_cl5468,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e0 )
= e4 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl4011]) ).
thf('806',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e2 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5468]) ).
thf(zip_derived_cl516_1840,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl491_1841,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl185_1842,plain,
( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4067,plain,
( ( ( op @ e0 @ e0 )
!= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl185]) ).
thf(zip_derived_cl5498,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e0 )
= e4 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl4067]) ).
thf('807',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5498]) ).
thf(zip_derived_cl516_1843,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl514_1844,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4834,plain,
( ( e4 = e2 )
<= ( ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl514]) ).
thf(zip_derived_cl187_1845,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('808',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4834,zip_derived_cl187]) ).
thf(zf_stmt_17,axiom,
( zip_tseitin_4
=> ( ( ( op @ e0 @ e4 )
!= e0 )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ) ).
thf(zip_derived_cl210,plain,
( ( ( op @ e0 @ e0 )
= e4 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('809',plain,
( ~ zip_tseitin_4
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl210]) ).
thf(ax57,axiom,
~ ( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e0
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e1
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl322,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e0
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf('810',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e1
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl322]) ).
thf(zip_derived_cl482_1846,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl477_1847,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl121_1848,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3680,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl121]) ).
thf(zip_derived_cl5020,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl3680]) ).
thf('811',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5020]) ).
thf(zip_derived_cl460_1849,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl457_1850,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2992,plain,
( ( e3 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl460,zip_derived_cl457]) ).
thf(zip_derived_cl193_1851,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('812',plain,
( ( ( op @ e2 @ e1 )
!= e0 )
| ( ( op @ e2 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2992,zip_derived_cl193]) ).
thf(zip_derived_cl459_1852,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl457_1853,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2959,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl459,zip_derived_cl457]) ).
thf(zip_derived_cl194_1854,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('813',plain,
( ( ( op @ e2 @ e1 )
!= e2 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2959,zip_derived_cl194]) ).
thf(zip_derived_cl458_1855,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl457_1856,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2942,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl457]) ).
thf(zip_derived_cl195_1857,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('814',plain,
( ( ( op @ e2 @ e1 )
!= e1 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2942,zip_derived_cl195]) ).
thf(zip_derived_cl509_1858,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl508_1859,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4702,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl509,zip_derived_cl508]) ).
thf(zip_derived_cl191_1860,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('815',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4702,zip_derived_cl191]) ).
thf(zip_derived_cl434_1861,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl433_1862,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2261,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl433]) ).
thf(zip_derived_cl191_1863,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('816',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2261,zip_derived_cl191]) ).
thf(zip_derived_cl436_1864,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl433_1865,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2316,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl433]) ).
thf(zip_derived_cl189_1866,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('817',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2316,zip_derived_cl189]) ).
thf(zip_derived_cl411_1867,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl409_1868,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1700,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e4 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl409]) ).
thf(zip_derived_cl187_1869,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('818',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1700,zip_derived_cl187]) ).
thf(zip_derived_cl410_1870,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl409_1871,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1692,plain,
( ( e3 = e2 )
<= ( ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl409]) ).
thf(zip_derived_cl188_1872,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('819',plain,
( ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1692,zip_derived_cl188]) ).
thf(zip_derived_cl510_1873,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl508_1874,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4708,plain,
( ( e3 = e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( ( op @ e0 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl508]) ).
thf(zip_derived_cl190_1875,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('820',plain,
( ( ( op @ e0 @ e1 )
!= e3 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4708,zip_derived_cl190]) ).
thf(zip_derived_cl436_1876,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl435_1877,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2318,plain,
( ( e4 = e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl435]) ).
thf(zip_derived_cl186_1878,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('821',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2318,zip_derived_cl186]) ).
thf(zip_derived_cl435_1879,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl434_1880,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2284,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl435,zip_derived_cl434]) ).
thf(zip_derived_cl188_1881,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('822',plain,
( ( ( op @ e3 @ e1 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2284,zip_derived_cl188]) ).
thf(zip_derived_cl66,plain,
( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('823',plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl70,plain,
( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('824',plain,
( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl510_1882,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl509_1883,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4709,plain,
( ( e3 = e2 )
<= ( ( ( op @ e0 @ e1 )
= e2 )
& ( ( op @ e0 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl509]) ).
thf(zip_derived_cl188_1884,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('825',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e0 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4709,zip_derived_cl188]) ).
thf(zip_derived_cl436_1885,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl434_1886,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2317,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl434]) ).
thf(zip_derived_cl187_1887,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('826',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2317,zip_derived_cl187]) ).
thf(zip_derived_cl411_1888,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl408_1889,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1699,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( ( op @ e4 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl408]) ).
thf(zip_derived_cl189_1890,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('827',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( ( op @ e4 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1699,zip_derived_cl189]) ).
thf(zip_derived_cl410_1891,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl408_1892,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1691,plain,
( ( e3 = e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl408]) ).
thf(zip_derived_cl190_1893,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('828',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1691,zip_derived_cl190]) ).
thf(zip_derived_cl409_1894,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl408_1895,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1685,plain,
( ( e2 = e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl409,zip_derived_cl408]) ).
thf(zip_derived_cl191_1896,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('829',plain,
( ( ( op @ e4 @ e1 )
!= e1 )
| ( ( op @ e4 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1685,zip_derived_cl191]) ).
thf(zip_derived_cl511_1897,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl509_1898,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4741,plain,
( ( e4 = e2 )
<= ( ( ( op @ e0 @ e1 )
= e2 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl509]) ).
thf(zip_derived_cl187_1899,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('830',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( ( op @ e0 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4741,zip_derived_cl187]) ).
thf(zip_derived_cl483_1900,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl482_1901,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3900,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl483,zip_derived_cl482]) ).
thf(zip_derived_cl195_1902,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('831',plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3900,zip_derived_cl195]) ).
thf(zip_derived_cl411_1903,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl410_1904,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1701,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e4 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl410]) ).
thf(zip_derived_cl186_1905,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('832',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1701,zip_derived_cl186]) ).
thf(zip_derived_cl453_1906,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl443_1907,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl107_1908,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2594,plain,
( ( ( op @ e2 @ e2 )
!= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl107]) ).
thf(zip_derived_cl2826,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2594]) ).
thf('833',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2826]) ).
thf('834',plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl513_1909,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl493_1910,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl132_1911,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4126,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl132]) ).
thf(zip_derived_cl5543,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e4 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl4126]) ).
thf('835',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5543]) ).
thf(zip_derived_cl42,plain,
( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('836',plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl443_1912,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl442_1913,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2597,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl443,zip_derived_cl442]) ).
thf(zip_derived_cl195_1914,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('837',plain,
( ( ( op @ e2 @ e4 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2597,zip_derived_cl195]) ).
thf(zip_derived_cl482_1915,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl467_1916,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl119_1917,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3276,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl119]) ).
thf(zip_derived_cl4018,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl3276]) ).
thf('838',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4018]) ).
thf(zip_derived_cl495_1918,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl395_1919,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl142_1920,plain,
( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2672,plain,
( ( ( op @ e0 @ e4 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl142]) ).
thf(zip_derived_cl4213,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl2672]) ).
thf('839',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4213]) ).
thf(zip_derived_cl395_1921,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl394_1922,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1557,plain,
( ( e3 = e2 )
<= ( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl394]) ).
thf(zip_derived_cl188_1923,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('840',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1557,zip_derived_cl188]) ).
thf(zip_derived_cl395_1924,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl392_1925,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1555,plain,
( ( e3 = e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl392]) ).
thf(zip_derived_cl193_1926,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('841',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1555,zip_derived_cl193]) ).
thf(zip_derived_cl224,plain,
( ( ( op @ e4 @ e4 )
= e1 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('842',plain,
( ~ zip_tseitin_9
| ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl261,plain,
( ( ( op @ e4 @ e4 )
= e1 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('843',plain,
( ~ zip_tseitin_21
| ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl218,plain,
( ( ( op @ e2 @ e2 )
= e1 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('844',plain,
( ~ zip_tseitin_7
| ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl218]) ).
thf(zip_derived_cl231,plain,
( ( ( op @ e2 @ e2 )
= e1 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('845',plain,
( ~ zip_tseitin_11
| ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl457_1927,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl453_1928,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1107_1929,plain,
( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf(zip_derived_cl5945,plain,
( ( e0
!= ( op @ e2 @ e1 ) )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl1107]) ).
thf(zip_derived_cl9779,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl5945]) ).
thf('846',plain,
( ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9779]) ).
thf(zip_derived_cl505_1930,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl457_1931,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6059_1932,plain,
( ( e3
!= ( op @ ( op @ e2 @ e1 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl961]) ).
thf(zip_derived_cl10401,plain,
( ( e3
!= ( op @ e0 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl6059]) ).
thf(zip_derived_cl11383,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl10401]) ).
thf('847',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e1 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11383]) ).
thf(zip_derived_cl65,plain,
( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('848',plain,
( ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl467_1933,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl442_1934,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141_1935,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2630,plain,
( ( ( op @ e1 @ e4 )
!= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl141]) ).
thf(zip_derived_cl3290,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl2630]) ).
thf('849',plain,
( ( ( op @ e2 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3290]) ).
thf(zip_derived_cl481_1936,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl453_1937,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1338_1938,plain,
( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl6023,plain,
( ( e4
!= ( op @ e1 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl1338]) ).
thf(zip_derived_cl10175,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl6023]) ).
thf('850',plain,
( ( e4
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10175]) ).
thf(zip_derived_cl490_1939,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl470_1940,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl122_1941,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3390,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl122]) ).
thf(zip_derived_cl4360,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3390]) ).
thf('851',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4360]) ).
thf('852',plain,
( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl494_1942,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl407_1943,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6041_1944,plain,
( ( e2
!= ( op @ ( op @ e4 @ e1 ) @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl949]) ).
thf(zip_derived_cl10272,plain,
( ( e2
!= ( op @ e0 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl6041]) ).
thf(zip_derived_cl11149,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl10272]) ).
thf('853',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e1 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11149]) ).
thf(zip_derived_cl470_1945,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl393_1946,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1238_1947,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl5993,plain,
( ( e3
!= ( op @ e1 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl1238]) ).
thf(zip_derived_cl10018,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl5993]) ).
thf('854',plain,
( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10018]) ).
thf(zip_derived_cl461_1948,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl457_1949,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl3032,plain,
( ( e4 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl461,zip_derived_cl457]) ).
thf(zip_derived_cl192_1950,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('855',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3032,zip_derived_cl192]) ).
thf(zip_derived_cl465_1951,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl445_1952,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl112_1953,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2651,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl112]) ).
thf(zip_derived_cl3207,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl2651]) ).
thf('856',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3207]) ).
thf(zip_derived_cl57,plain,
( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('857',plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl78,plain,
( ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('858',plain,
( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl491_1954,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl466_1955,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl181_1956,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3953,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl181]) ).
thf(zip_derived_cl5354,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e0 )
= e4 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl3953]) ).
thf('859',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5354]) ).
thf(zip_derived_cl491_1957,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl490_1958,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4071,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl490]) ).
thf(zip_derived_cl186_1959,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('860',plain,
( ( ( op @ e1 @ e0 )
!= e4 )
| ( ( op @ e1 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4071,zip_derived_cl186]) ).
thf(ax87,axiom,
~ ( ( e3
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e1
= ( op @ e4 @ e4 ) )
& ( e2
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl352,plain,
( ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e1
!= ( op @ e4 @ e4 ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax87]) ).
thf('861',plain,
( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( e2
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e1 )
| ( e3
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl515_1960,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl513_1961,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4821,plain,
( ( e3 = e1 )
<= ( ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl515,zip_derived_cl513]) ).
thf(zip_derived_cl190_1962,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('862',plain,
( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4821,zip_derived_cl190]) ).
thf(zip_derived_cl83,plain,
( ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('863',plain,
( ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl456_1963,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl453_1964,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2896,plain,
( ( e4 = e1 )
<= ( ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl453]) ).
thf(zip_derived_cl189_1965,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('864',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2896,zip_derived_cl189]) ).
thf(zip_derived_cl503_1966,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl453_1967,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl164_1968,plain,
( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3299,plain,
( ( ( op @ e0 @ e2 )
!= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl164]) ).
thf(zip_derived_cl4532,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e0 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl3299]) ).
thf('865',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4532]) ).
thf(zip_derived_cl453_1969,plain,
( ( ( op @ e2 @ e2 )
= e1 )
<= ( ( op @ e2 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl452_1970,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2819,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl453,zip_derived_cl452]) ).
thf(zip_derived_cl195_1971,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('866',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2819,zip_derived_cl195]) ).
thf(ax113,axiom,
~ ( ( e4
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e1
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e0
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl378,plain,
( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e1
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax113]) ).
thf('867',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( e0
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl378]) ).
thf(zf_stmt_18,axiom,
( zip_tseitin_1
=> ( ( ( op @ e0 @ e1 )
!= e0 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ) ).
thf(zip_derived_cl200,plain,
( ( ( op @ e1 @ e1 )
= e0 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('868',plain,
( ~ zip_tseitin_1
| ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl213,plain,
( ( ( op @ e1 @ e1 )
= e0 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('869',plain,
( ~ zip_tseitin_5
| ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl213]) ).
thf(zip_derived_cl486_1972,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl484_1973,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3983,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl484]) ).
thf(zip_derived_cl187_1974,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('870',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3983,zip_derived_cl187]) ).
thf(zip_derived_cl484_1975,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl482_1976,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3939,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl484,zip_derived_cl482]) ).
thf(zip_derived_cl194_1977,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('871',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3939,zip_derived_cl194]) ).
thf(zip_derived_cl71,plain,
( ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('872',plain,
( ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(ax108,axiom,
~ ( ( e4
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( e0
= ( op @ e1 @ e1 ) )
& ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) ).
thf(zip_derived_cl373,plain,
( ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e0
!= ( op @ e1 @ e1 ) )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(cnf,[status(esa)],[ax108]) ).
thf('873',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl68,plain,
( ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('874',plain,
( ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl72,plain,
( ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('875',plain,
( ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl511_1978,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl510_1979,plain,
( ( ( op @ e0 @ e1 )
= e3 )
<= ( ( op @ e0 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4742,plain,
( ( e4 = e3 )
<= ( ( ( op @ e0 @ e1 )
= e3 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl510]) ).
thf(zip_derived_cl186_1980,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('876',plain,
( ( ( op @ e0 @ e1 )
!= e4 )
| ( ( op @ e0 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4742,zip_derived_cl186]) ).
thf(zip_derived_cl511_1981,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl508_1982,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl4740,plain,
( ( e4 = e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl508]) ).
thf(zip_derived_cl189_1983,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('877',plain,
( ( ( op @ e0 @ e1 )
!= e4 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4740,zip_derived_cl189]) ).
thf(zip_derived_cl435_1984,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl433_1985,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2283,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( ( op @ e3 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl435,zip_derived_cl433]) ).
thf(zip_derived_cl190_1986,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('878',plain,
( ( ( op @ e3 @ e1 )
!= e1 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2283,zip_derived_cl190]) ).
thf(zip_derived_cl511_1987,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl482_1988,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1346,plain,
( ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl6028,plain,
( ( e4
!= ( op @ e0 @ e1 ) )
<= ( ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1346]) ).
thf(zip_derived_cl10200,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl6028]) ).
thf('879',plain,
( ( e4
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e0 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10200]) ).
thf(zip_derived_cl77,plain,
( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('880',plain,
( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl516_1989,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl513_1990,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4833,plain,
( ( e4 = e1 )
<= ( ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl513]) ).
thf(zip_derived_cl189_1991,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('881',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4833,zip_derived_cl189]) ).
thf(zip_derived_cl489_1992,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_1993,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1016_1994,plain,
( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl5890,plain,
( ( e2
!= ( op @ e1 @ e0 ) )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1016]) ).
thf(zip_derived_cl9529,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl5890]) ).
thf('882',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( e2
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9529]) ).
thf(zip_derived_cl485_1995,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl482_1996,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3962,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl482]) ).
thf(zip_derived_cl193_1997,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('883',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3962,zip_derived_cl193]) ).
thf(zip_derived_cl445_1998,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl409_1999,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl393_2000,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl958_2001,plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
<= ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl6053,plain,
( ( e3
!= ( op @ ( op @ e4 @ e1 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl958]) ).
thf(zip_derived_cl10360,plain,
( ( e3
!= ( op @ e2 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl6053]) ).
thf(zip_derived_cl11316,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e2 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl10360]) ).
thf('884',plain,
( ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11316]) ).
thf(zip_derived_cl467_2002,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl393_2003,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl947_2004,plain,
( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5801,plain,
( ( e0
!= ( op @ e1 @ e4 ) )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl947]) ).
thf(zip_derived_cl9122,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl5801]) ).
thf('885',plain,
( ( e0
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9122]) ).
thf(zip_derived_cl38,plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('886',plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl73,plain,
( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('887',plain,
( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl75,plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('888',plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl470_2005,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl468_2006,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3393,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl468]) ).
thf(zip_derived_cl190_2007,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('889',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3393,zip_derived_cl190]) ).
thf(zip_derived_cl470_2008,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl467_2009,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3392,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl467]) ).
thf(zip_derived_cl193_2010,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('890',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3392,zip_derived_cl193]) ).
thf(zip_derived_cl473_2011,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl472_2012,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3515,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl473,zip_derived_cl472]) ).
thf(zip_derived_cl195_2013,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('891',plain,
( ( ( op @ e1 @ e3 )
!= e1 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3515,zip_derived_cl195]) ).
thf('892',plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e4 @ e4 )
!= e1 )
| ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl477_2014,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl402_2015,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl159_2016,plain,
( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3090,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl159]) ).
thf(zip_derived_cl3808,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl3090]) ).
thf('893',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3808]) ).
thf('894',plain,
( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl409_2017,plain,
( ( ( op @ e4 @ e1 )
= e2 )
<= ( ( op @ e4 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl393_2018,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl957_2019,plain,
( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl5825,plain,
( ( e2
!= ( op @ e4 @ e1 ) )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl957]) ).
thf(zip_derived_cl9237,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl5825]) ).
thf('895',plain,
( ( e2
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e1 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9237]) ).
thf(zip_derived_cl415_2020,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl410_2021,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl95_2022,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1689,plain,
( ( ( op @ e4 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl95]) ).
thf(zip_derived_cl2144,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl1689]) ).
thf('896',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2144]) ).
thf(zip_derived_cl415_2023,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl405_2024,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl94_2025,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1657,plain,
( ( ( op @ e4 @ e0 )
!= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl94]) ).
thf(zip_derived_cl2103,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e2 )
= e3 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl1657]) ).
thf('897',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2103]) ).
thf(zip_derived_cl41,plain,
( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('898',plain,
( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('899',plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl489_2026,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl484_2027,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125_2028,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3937,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl125]) ).
thf(zip_derived_cl5316,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl3937]) ).
thf('900',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5316]) ).
thf(zip_derived_cl489_2029,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl414_2030,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl179_2031,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3871,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl179]) ).
thf(zip_derived_cl5256,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl3871]) ).
thf('901',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e4 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5256]) ).
thf(zip_derived_cl491_2032,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl489_2033,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl4070,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl489]) ).
thf(zip_derived_cl187_2034,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('902',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4070,zip_derived_cl187]) ).
thf(zip_derived_cl460_2035,plain,
( ( ( op @ e2 @ e1 )
= e3 )
<= ( ( op @ e2 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl489_2036,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_2037,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl985_2038,plain,
( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
<= ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl6088,plain,
( ( e3
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl985]) ).
thf(zip_derived_cl10608,plain,
( ( e3
!= ( op @ e2 @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl6088]) ).
thf(zip_derived_cl11757,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e2 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl10608]) ).
thf('903',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e2 @ e1 )
!= e3 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11757]) ).
thf(zf_stmt_19,axiom,
( zip_tseitin_2
=> ( ( ( op @ e0 @ e2 )
!= e0 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ) ).
thf(zip_derived_cl204,plain,
( ( ( op @ e0 @ e0 )
= e2 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('904',plain,
( ~ zip_tseitin_2
| ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf(zip_derived_cl227,plain,
( ( ( op @ e0 @ e0 )
= e2 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('905',plain,
( ~ zip_tseitin_10
| ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl514_2039,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl494_2040,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl132_2041,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4154,plain,
( ( ( op @ e0 @ e0 )
!= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl132]) ).
thf(zip_derived_cl5568,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e4 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl4154]) ).
thf('906',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5568]) ).
thf(zip_derived_cl495_2042,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl494_2043,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl4208,plain,
( ( e3 = e2 )
<= ( ( ( op @ e0 @ e4 )
= e2 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl495,zip_derived_cl494]) ).
thf(zip_derived_cl188_2044,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('907',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( ( op @ e0 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4208,zip_derived_cl188]) ).
thf(zip_derived_cl40,plain,
( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('908',plain,
( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl491_2045,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl482_2046,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl986_2047,plain,
( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
<= ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl5866,plain,
( ( e4
!= ( op @ e1 @ e0 ) )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl986]) ).
thf(zip_derived_cl9417,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl5866]) ).
thf('909',plain,
( ( e4
= ( op @ e1 @ ( op @ e1 @ e1 ) ) )
| ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9417]) ).
thf(zip_derived_cl67,plain,
( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('910',plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl506_2048,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl481_2049,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl165_2050,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3820,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl165]) ).
thf(zip_derived_cl5198,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e2 )
= e4 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl3820]) ).
thf('911',plain,
( ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5198]) ).
thf('912',plain,
( ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl513_2051,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl503_2052,plain,
( ( ( op @ e0 @ e2 )
= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl134_2053,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4518,plain,
( ( ( op @ e0 @ e0 )
!= e1 )
<= ( ( op @ e0 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl134]) ).
thf(zip_derived_cl5729,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e2 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl4518]) ).
thf('913',plain,
( ( ( op @ e0 @ e2 )
!= e1 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5729]) ).
thf(zip_derived_cl514_2054,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl513_2055,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl4787,plain,
( ( e2 = e1 )
<= ( ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl513]) ).
thf(zip_derived_cl191_2056,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('914',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4787,zip_derived_cl191]) ).
thf(zip_derived_cl201,plain,
( ( ( op @ e0 @ e0 )
= e1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('915',plain,
( ~ zip_tseitin_1
| ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl212,plain,
( ( ( op @ e0 @ e0 )
= e1 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('916',plain,
( ~ zip_tseitin_5
| ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl212]) ).
thf(zip_derived_cl225,plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('917',plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ~ zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl260,plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('918',plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ~ zip_tseitin_21 ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl486_2057,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl482_2058,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3981,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl482]) ).
thf(zip_derived_cl192_2059,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('919',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3981,zip_derived_cl192]) ).
thf(zip_derived_cl74,plain,
( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('920',plain,
( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl203,plain,
( ( ( op @ e2 @ e2 )
= e0 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('921',plain,
( ~ zip_tseitin_2
| ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl228,plain,
( ( ( op @ e2 @ e2 )
= e0 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('922',plain,
( ~ zip_tseitin_10
| ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl505_2060,plain,
( ( ( op @ e0 @ e2 )
= e3 )
<= ( ( op @ e0 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl495_2061,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl127_2062,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4203,plain,
( ( ( op @ e0 @ e2 )
!= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl127]) ).
thf(zip_derived_cl5581,plain,
( ( e3 != e3 )
<= ( ( ( op @ e0 @ e4 )
= e3 )
& ( ( op @ e0 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl4203]) ).
thf('923',plain,
( ( ( op @ e0 @ e2 )
!= e3 )
| ( ( op @ e0 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5581]) ).
thf(zip_derived_cl407_2063,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl402_2064,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl91_2065,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1641,plain,
( ( ( op @ e4 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl91]) ).
thf(zip_derived_cl2038,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl1641]) ).
thf('924',plain,
( ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2038]) ).
thf(zip_derived_cl405_2066,plain,
( ( ( op @ e4 @ e2 )
= e3 )
<= ( ( op @ e4 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl402_2067,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1658,plain,
( ( e3 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e4 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl402]) ).
thf(zip_derived_cl193_2068,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('925',plain,
( ( ( op @ e4 @ e2 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1658,zip_derived_cl193]) ).
thf(zip_derived_cl457_2069,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl442_2070,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl109_2071,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2561,plain,
( ( ( op @ e2 @ e1 )
!= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl109]) ).
thf(zip_derived_cl2928,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl2561]) ).
thf('926',plain,
( ( ( op @ e2 @ e1 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2928]) ).
thf(zip_derived_cl452_2072,plain,
( ( ( op @ e2 @ e2 )
= e0 )
<= ( ( op @ e2 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl442_2073,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl107_2074,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2560,plain,
( ( ( op @ e2 @ e2 )
!= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl107]) ).
thf(zip_derived_cl2806,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl2560]) ).
thf('927',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2806]) ).
thf(zip_derived_cl495_2075,plain,
( ( ( op @ e0 @ e4 )
= e3 )
<= ( ( op @ e0 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl407_2076,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl6053_2077,plain,
( ( e3
!= ( op @ ( op @ e4 @ e1 ) @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl958]) ).
thf(zip_derived_cl10358,plain,
( ( e3
!= ( op @ e0 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl6053]) ).
thf(zip_derived_cl11308,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e0 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl10358]) ).
thf('928',plain,
( ( ( op @ e0 @ e4 )
!= e3 )
| ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( ( op @ e4 @ e1 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11308]) ).
thf(zip_derived_cl407_2078,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl393_2079,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1075_2080,plain,
( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
<= ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl5915,plain,
( ( e0
!= ( op @ e4 @ e1 ) )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl1075]) ).
thf(zip_derived_cl9632,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl5915]) ).
thf('929',plain,
( ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e1 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9632]) ).
thf('930',plain,
( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl45,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('931',plain,
( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl469_2081,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl393_2082,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1141_2083,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
<= ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl5957,plain,
( ( e2
!= ( op @ e1 @ e4 ) )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl1141]) ).
thf(zip_derived_cl9846,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl5957]) ).
thf('932',plain,
( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9846]) ).
thf(ax63,axiom,
~ ( ( e2
= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
& ( e1
= ( op @ e4 @ e4 ) )
& ( e3
= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
& ( e0
= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ) ).
thf(zip_derived_cl328,plain,
( ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) )
| ( e1
!= ( op @ e4 @ e4 ) )
| ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) ) ),
inference(cnf,[status(esa)],[ax63]) ).
thf('933',plain,
( ( e3
!= ( op @ ( op @ e4 @ ( op @ e4 @ e4 ) ) @ e4 ) )
| ( e0
!= ( op @ e4 @ ( op @ e4 @ e4 ) ) )
| ( ( op @ e4 @ e4 )
!= e1 )
| ( e2
!= ( op @ ( op @ e4 @ e4 ) @ e4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl328]) ).
thf(zip_derived_cl219,plain,
( ( ( op @ e1 @ e1 )
= e2 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('934',plain,
( ~ zip_tseitin_7
| ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl219]) ).
thf(zip_derived_cl230,plain,
( ( ( op @ e1 @ e1 )
= e2 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('935',plain,
( ~ zip_tseitin_11
| ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl44,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('936',plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl494_2084,plain,
( ( ( op @ e0 @ e4 )
= e2 )
<= ( ( op @ e0 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl469_2085,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145_2086,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3346,plain,
( ( ( op @ e0 @ e4 )
!= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl145]) ).
thf(zip_derived_cl4194,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e0 @ e4 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3346]) ).
thf('937',plain,
( ( ( op @ e0 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4194]) ).
thf(zip_derived_cl489_2087,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl469_2088,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl122_2089,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3345,plain,
( ( ( op @ e1 @ e0 )
!= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl122]) ).
thf(zip_derived_cl4188,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl3345]) ).
thf('938',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4188]) ).
thf(zip_derived_cl484_2090,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl469_2091,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl119_2092,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3344,plain,
( ( ( op @ e1 @ e1 )
!= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl119]) ).
thf(zip_derived_cl4182,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl3344]) ).
thf('939',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4182]) ).
thf(zip_derived_cl469_2093,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl467_2094,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3347,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl467]) ).
thf(zip_derived_cl194_2095,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('940',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3347,zip_derived_cl194]) ).
thf('941',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( e4
!= ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zip_derived_cl39,plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('942',plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl509_2096,plain,
( ( ( op @ e0 @ e1 )
= e2 )
<= ( ( op @ e0 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl482_2097,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1152_2098,plain,
( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
<= ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zip_derived_cl5968,plain,
( ( e2
!= ( op @ e0 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1152]) ).
thf(zip_derived_cl9886,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl5968]) ).
thf('943',plain,
( ( ( op @ e0 @ e1 )
!= e2 )
| ( e2
= ( op @ ( op @ e1 @ e1 ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9886]) ).
thf(zip_derived_cl415_2099,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl414_2100,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1719,plain,
( ( e3 = e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( ( op @ e4 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl415,zip_derived_cl414]) ).
thf(zip_derived_cl188_2101,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('944',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( ( op @ e4 @ e0 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1719,zip_derived_cl188]) ).
thf(zip_derived_cl81,plain,
( ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('945',plain,
( ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl80,plain,
( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('946',plain,
( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl410_2102,plain,
( ( ( op @ e4 @ e1 )
= e3 )
<= ( ( op @ e4 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl491_2103,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl6088_2104,plain,
( ( e3
!= ( op @ ( op @ e1 @ e0 ) @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl985]) ).
thf(zip_derived_cl10610,plain,
( ( e3
!= ( op @ e4 @ e1 ) )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl6088]) ).
thf(zip_derived_cl11774,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
& ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl10610]) ).
thf('947',plain,
( ( e3
= ( op @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ e1 ) )
| ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e4 @ e1 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11774]) ).
thf(zip_derived_cl239,plain,
( ( ( op @ e4 @ e4 )
= e2 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('948',plain,
( ~ zip_tseitin_14
| ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl264,plain,
( ( ( op @ e4 @ e4 )
= e2 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('949',plain,
( ~ zip_tseitin_22
| ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl209,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('950',plain,
( ~ zip_tseitin_4
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl209]) ).
thf(zip_derived_cl258,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('951',plain,
( ~ zip_tseitin_20
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl493_2105,plain,
( ( ( op @ e0 @ e4 )
= e1 )
<= ( ( op @ e0 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl393_2106,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl142_2107,plain,
( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2670,plain,
( ( ( op @ e0 @ e4 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl142]) ).
thf(zip_derived_cl4130,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e0 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl2670]) ).
thf('952',plain,
( ( ( op @ e0 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4130]) ).
thf(zip_derived_cl413_2108,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl393_2109,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl92_2110,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1564,plain,
( ( ( op @ e4 @ e0 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl92]) ).
thf(zip_derived_cl1846,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl1564]) ).
thf('953',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1846]) ).
thf(zip_derived_cl403_2111,plain,
( ( ( op @ e4 @ e2 )
= e1 )
<= ( ( op @ e4 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl393_2112,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl87_2113,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1534,plain,
( ( ( op @ e4 @ e2 )
!= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl87]) ).
thf(zip_derived_cl1764,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e2 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl1534]) ).
thf('954',plain,
( ( ( op @ e4 @ e2 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1764]) ).
thf(zip_derived_cl395_2114,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl393_2115,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1556,plain,
( ( e3 = e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl393]) ).
thf(zip_derived_cl190_2116,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('955',plain,
( ( ( op @ e4 @ e4 )
!= e1 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1556,zip_derived_cl190]) ).
thf(zip_derived_cl394_2117,plain,
( ( ( op @ e4 @ e4 )
= e2 )
<= ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl393_2118,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1542,plain,
( ( e2 = e1 )
<= ( ( ( op @ e4 @ e4 )
= e1 )
& ( ( op @ e4 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl393]) ).
thf(zip_derived_cl191_2119,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('956',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1542,zip_derived_cl191]) ).
thf(zip_derived_cl393_2120,plain,
( ( ( op @ e4 @ e4 )
= e1 )
<= ( ( op @ e4 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl392_2121,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1536,plain,
( ( e1 = e0 )
<= ( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e4 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl393,zip_derived_cl392]) ).
thf(zip_derived_cl195_2122,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('957',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1536,zip_derived_cl195]) ).
thf(zf_stmt_20,axiom,
( zip_tseitin_24
=> ( ( ( op @ e4 @ e4 )
!= e4 )
& ( ( op @ e4 @ e4 )
= e4 )
& ( ( op @ e4 @ e4 )
= e4 ) ) ) ).
thf(zip_derived_cl269,plain,
( ( ( op @ e4 @ e4 )
= e4 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('958',plain,
( ~ zip_tseitin_24
| ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl268,plain,
( ( ( op @ e4 @ e4 )
!= e4 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('959',plain,
( ~ zip_tseitin_24
| ( ( op @ e4 @ e4 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl268]) ).
thf(zf_stmt_21,axiom,
( zip_tseitin_0
=> ( ( ( op @ e0 @ e0 )
!= e0 )
& ( ( op @ e0 @ e0 )
= e0 )
& ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zip_derived_cl197,plain,
( ( ( op @ e0 @ e0 )
= e0 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('960',plain,
( ~ zip_tseitin_0
| ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl196,plain,
( ( ( op @ e0 @ e0 )
!= e0 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('961',plain,
( ~ zip_tseitin_0
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_6
=> ( ( ( op @ e1 @ e1 )
!= e1 )
& ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e1 @ e1 )
= e1 ) ) ) ).
thf(zip_derived_cl215,plain,
( ( ( op @ e1 @ e1 )
= e1 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('962',plain,
( ~ zip_tseitin_6
| ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl215]) ).
thf(zip_derived_cl214,plain,
( ( ( op @ e1 @ e1 )
!= e1 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('963',plain,
( ~ zip_tseitin_6
| ( ( op @ e1 @ e1 )
!= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl214]) ).
thf(zf_stmt_23,axiom,
( zip_tseitin_12
=> ( ( ( op @ e2 @ e2 )
!= e2 )
& ( ( op @ e2 @ e2 )
= e2 )
& ( ( op @ e2 @ e2 )
= e2 ) ) ) ).
thf(zip_derived_cl233,plain,
( ( ( op @ e2 @ e2 )
= e2 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('964',plain,
( ~ zip_tseitin_12
| ( ( op @ e2 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl232,plain,
( ( ( op @ e2 @ e2 )
!= e2 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('965',plain,
( ~ zip_tseitin_12
| ( ( op @ e2 @ e2 )
!= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf(zf_stmt_24,axiom,
( zip_tseitin_18
=> ( ( ( op @ e3 @ e3 )
!= e3 )
& ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e3 @ e3 )
= e3 ) ) ) ).
thf(zip_derived_cl251,plain,
( ( ( op @ e3 @ e3 )
= e3 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('966',plain,
( ~ zip_tseitin_18
| ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl250,plain,
( ( ( op @ e3 @ e3 )
!= e3 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('967',plain,
( ~ zip_tseitin_18
| ( ( op @ e3 @ e3 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl250]) ).
thf(zf_stmt_25,type,
zip_tseitin_24: $o ).
thf(zf_stmt_26,type,
zip_tseitin_23: $o ).
thf(zf_stmt_27,type,
zip_tseitin_22: $o ).
thf(zf_stmt_28,type,
zip_tseitin_21: $o ).
thf(zf_stmt_29,type,
zip_tseitin_20: $o ).
thf(zf_stmt_30,type,
zip_tseitin_19: $o ).
thf(zf_stmt_31,type,
zip_tseitin_18: $o ).
thf(zf_stmt_32,type,
zip_tseitin_17: $o ).
thf(zf_stmt_33,type,
zip_tseitin_16: $o ).
thf(zf_stmt_34,type,
zip_tseitin_15: $o ).
thf(zf_stmt_35,type,
zip_tseitin_14: $o ).
thf(zf_stmt_36,type,
zip_tseitin_13: $o ).
thf(zf_stmt_37,type,
zip_tseitin_12: $o ).
thf(zf_stmt_38,type,
zip_tseitin_11: $o ).
thf(zf_stmt_39,type,
zip_tseitin_10: $o ).
thf(zf_stmt_40,type,
zip_tseitin_9: $o ).
thf(zf_stmt_41,type,
zip_tseitin_8: $o ).
thf(zf_stmt_42,type,
zip_tseitin_7: $o ).
thf(zf_stmt_43,type,
zip_tseitin_6: $o ).
thf(zf_stmt_44,type,
zip_tseitin_5: $o ).
thf(zf_stmt_45,type,
zip_tseitin_4: $o ).
thf(zf_stmt_46,type,
zip_tseitin_3: $o ).
thf(zf_stmt_47,type,
zip_tseitin_2: $o ).
thf(zf_stmt_48,type,
zip_tseitin_1: $o ).
thf(zf_stmt_49,type,
zip_tseitin_0: $o ).
thf(zf_stmt_50,axiom,
( 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
| zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl271,plain,
( 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
| 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_50]) ).
thf('968',plain,
( zip_tseitin_23
| zip_tseitin_9
| zip_tseitin_24
| zip_tseitin_0
| zip_tseitin_15
| zip_tseitin_3
| zip_tseitin_4
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_11
| zip_tseitin_19
| zip_tseitin_5
| zip_tseitin_20
| zip_tseitin_1
| zip_tseitin_12
| zip_tseitin_10
| zip_tseitin_14
| zip_tseitin_2
| zip_tseitin_22
| zip_tseitin_8
| zip_tseitin_13
| zip_tseitin_18
| zip_tseitin_16
| zip_tseitin_17
| zip_tseitin_21 ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
thf(zip_derived_cl255,plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('969',plain,
( ~ zip_tseitin_19
| ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl236,plain,
( ( ( op @ e3 @ e3 )
= e2 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('970',plain,
( ~ zip_tseitin_13
| ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl249,plain,
( ( ( op @ e3 @ e3 )
= e2 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('971',plain,
( ~ zip_tseitin_17
| ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl221,plain,
( ( ( op @ e3 @ e3 )
= e1 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('972',plain,
( ~ zip_tseitin_8
| ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl246,plain,
( ( ( op @ e3 @ e3 )
= e1 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('973',plain,
( ~ zip_tseitin_16
| ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl206,plain,
( ( ( op @ e3 @ e3 )
= e0 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('974',plain,
( ~ zip_tseitin_3
| ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf(zip_derived_cl243,plain,
( ( ( op @ e3 @ e3 )
= e0 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('975',plain,
( ~ zip_tseitin_15
| ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl265,plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('976',plain,
( ( ( op @ e4 @ e3 )
!= e4 )
| ~ zip_tseitin_23 ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl487_2123,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl520,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_2124,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1505,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl35]) ).
thf(zip_derived_cl180_2125,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8784,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl180]) ).
thf(zip_derived_cl9086,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl8784]) ).
thf('977',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9086]) ).
thf(zip_derived_cl462_2126,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1505_2127,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl35]) ).
thf(zip_derived_cl178_2128,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8783,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl178]) ).
thf(zip_derived_cl9077,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl8783]) ).
thf('978',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9077]) ).
thf(zip_derived_cl1505_2129,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl35]) ).
thf(zip_derived_cl412_2130,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl176_2131,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3752,plain,
( ( ( op @ e3 @ e0 )
!= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl176]) ).
thf(zip_derived_cl8812,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e0 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl3752]) ).
thf('979',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8812]) ).
thf(zip_derived_cl507_2132,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl520_2133,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_2134,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1484,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl130_2135,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8121,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl130]) ).
thf(zip_derived_cl8463,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl8121]) ).
thf('980',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8463]) ).
thf(zip_derived_cl502_2136,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1484_2137,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl128_2138,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8120,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl128]) ).
thf(zip_derived_cl8454,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl8120]) ).
thf('981',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8454]) ).
thf(zip_derived_cl508_2139,plain,
( ( ( op @ e0 @ e1 )
= e1 )
<= ( ( op @ e0 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl520_2140,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_2141,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1474,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl33]) ).
thf(zip_derived_cl173_2142,plain,
( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7868,plain,
( ( ( op @ e0 @ e1 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl173]) ).
thf(zip_derived_cl8391,plain,
( ( e1 != e1 )
<= ( ( ( op @ e0 @ e1 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl7868]) ).
thf('982',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8391]) ).
thf(zip_derived_cl458_2143,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1474_2144,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl33]) ).
thf(zip_derived_cl168_2145,plain,
( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7866,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl168]) ).
thf(zip_derived_cl8351,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl7866]) ).
thf('983',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8351]) ).
thf(zip_derived_cl438_2146,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1474_2147,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl33]) ).
thf(zip_derived_cl105_2148,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7865,plain,
( ( ( op @ e3 @ e0 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl105]) ).
thf(zip_derived_cl8344,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7865]) ).
thf('984',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8344]) ).
thf(zip_derived_cl488_2149,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl520_2150,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_2151,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1473,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl123_2152,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7807,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl123]) ).
thf(zip_derived_cl8311,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl7807]) ).
thf('985',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8311]) ).
thf(zip_derived_cl483_2153,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1473_2154,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl120_2155,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7806,plain,
( ( ( op @ e1 @ e1 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl120]) ).
thf(zip_derived_cl8303,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl7806]) ).
thf('986',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8303]) ).
thf(zip_derived_cl478_2156,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1473_2157,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl118_2158,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7805,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl118]) ).
thf(zip_derived_cl8294,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl7805]) ).
thf('987',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8294]) ).
thf(zip_derived_cl504_2159,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( ( op @ e0 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl520_2160,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_2161,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1472,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl163_2162,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7751,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl163]) ).
thf(zip_derived_cl8286,plain,
( ( e2 != e2 )
<= ( ( ( op @ e0 @ e2 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl7751]) ).
thf('988',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8286]) ).
thf(zip_derived_cl479_2163,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1472_2164,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl160_2165,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7750,plain,
( ( ( op @ e1 @ e2 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl160]) ).
thf(zip_derived_cl8252,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl7750]) ).
thf('989',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8252]) ).
thf(zip_derived_cl439_2166,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1472_2167,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl104_2168,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7748,plain,
( ( ( op @ e3 @ e0 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl104]) ).
thf(zip_derived_cl8245,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7748]) ).
thf('990',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8245]) ).
thf(zip_derived_cl464_2169,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl520_2170,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_2171,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1471,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl113_2172,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7698,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl113]) ).
thf(zip_derived_cl8234,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl7698]) ).
thf('991',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8234]) ).
thf(zip_derived_cl459_2173,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1471_2174,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl110_2175,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7697,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl110]) ).
thf(zip_derived_cl8225,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl7697]) ).
thf('992',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8225]) ).
thf(zip_derived_cl1484_2176,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl492_2177,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl126_2178,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4078,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl126]) ).
thf(zip_derived_cl8149,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl4078]) ).
thf('993',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8149]) ).
thf(zip_derived_cl1484_2179,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl500_2180,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( ( op @ e0 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl8125,plain,
( ( e0 = e3 )
<= ( ( ( op @ e0 @ e3 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl500]) ).
thf(zip_derived_cl193_2181,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('994',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8125,zip_derived_cl193]) ).
thf(zip_derived_cl1484_2182,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl499_2183,plain,
( ( ( op @ e0 @ e3 )
= e2 )
<= ( ( op @ e0 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl8124,plain,
( ( e0 = e2 )
<= ( ( ( op @ e0 @ e3 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl499]) ).
thf(zip_derived_cl194_2184,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('995',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8124,zip_derived_cl194]) ).
thf(zip_derived_cl1484_2185,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl34]) ).
thf(zip_derived_cl498_2186,plain,
( ( ( op @ e0 @ e3 )
= e1 )
<= ( ( op @ e0 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl8123,plain,
( ( e0 = e1 )
<= ( ( ( op @ e0 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl498]) ).
thf(zip_derived_cl195_2187,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('996',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8123,zip_derived_cl195]) ).
thf(zip_derived_cl440_2188,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl520_2189,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_2190,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1469,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl28]) ).
thf(zip_derived_cl103_2191,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7587,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1469,zip_derived_cl103]) ).
thf(zip_derived_cl7908,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7587]) ).
thf('997',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7908]) ).
thf(zip_derived_cl1474_2192,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl33]) ).
thf(zip_derived_cl408_2193,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl166_2194,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3371,plain,
( ( ( op @ e3 @ e1 )
!= e1 )
<= ( ( op @ e4 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl166]) ).
thf(zip_derived_cl7891,plain,
( ( e1 != e1 )
<= ( ( ( op @ e4 @ e1 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl3371]) ).
thf('998',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7891]) ).
thf(zip_derived_cl1474_2195,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl33]) ).
thf(zip_derived_cl432_2196,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl7869,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1474,zip_derived_cl432]) ).
thf(zip_derived_cl195_2197,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('999',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7869,zip_derived_cl195]) ).
thf(zip_derived_cl496_2198,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( ( op @ e0 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl520_2199,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_2200,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1468,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl143_2201,plain,
( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7555,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl143]) ).
thf(zip_derived_cl7850,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e4 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl7555]) ).
thf('1000',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7850]) ).
thf(zip_derived_cl1473_2202,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl3315_2203,plain,
( ( ( op @ e1 @ e3 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl116]) ).
thf(zip_derived_cl7831,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl3315]) ).
thf('1001',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e4 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7831]) ).
thf(zip_derived_cl1473_2204,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl475_2205,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl7811,plain,
( ( e1 = e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl475]) ).
thf(zip_derived_cl190_2206,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1002',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7811,zip_derived_cl190]) ).
thf(zip_derived_cl1473_2207,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl474_2208,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl7810,plain,
( ( e1 = e2 )
<= ( ( ( op @ e1 @ e3 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl474]) ).
thf(zip_derived_cl191_2209,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('1003',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7810,zip_derived_cl191]) ).
thf(zip_derived_cl1473_2210,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl32]) ).
thf(zip_derived_cl472_2211,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl7809,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl472]) ).
thf(zip_derived_cl195_2212,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('1004',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7809,zip_derived_cl195]) ).
thf(zip_derived_cl471_2213,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1468_2214,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl140_2215,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7554,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl140]) ).
thf(zip_derived_cl7800,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e4 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl7554]) ).
thf('1005',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7800]) ).
thf(zip_derived_cl446_2216,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1468_2217,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl138_2218,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7553,plain,
( ( ( op @ e2 @ e4 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl138]) ).
thf(zip_derived_cl7792,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl7553]) ).
thf('1006',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7792]) ).
thf(zip_derived_cl441_2219,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1468_2220,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl102_2221,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7552,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl102]) ).
thf(zip_derived_cl7785,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7552]) ).
thf('1007',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7785]) ).
thf(zip_derived_cl1472_2222,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl404_2223,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl156_2224,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2974,plain,
( ( ( op @ e3 @ e2 )
!= e2 )
<= ( ( op @ e4 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl156]) ).
thf(zip_derived_cl7770,plain,
( ( e2 != e2 )
<= ( ( ( op @ e4 @ e2 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl2974]) ).
thf('1008',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7770]) ).
thf(zip_derived_cl1472_2225,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl430_2226,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7754,plain,
( ( e2 = e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1472,zip_derived_cl430]) ).
thf(zip_derived_cl188_2227,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1009',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7754,zip_derived_cl188]) ).
thf(zip_derived_cl1472_2228,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl428_2229,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7753,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1472,zip_derived_cl428]) ).
thf(zip_derived_cl191_2230,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('1010',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7753,zip_derived_cl191]) ).
thf(zip_derived_cl1472_2231,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl31]) ).
thf(zip_derived_cl427_2232,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7752,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1472,zip_derived_cl427]) ).
thf(zip_derived_cl194_2233,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('1011',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7752,zip_derived_cl194]) ).
thf(zip_derived_cl436_2234,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1468_2235,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl99_2236,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7551,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl99]) ).
thf(zip_derived_cl7743,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e1 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7551]) ).
thf('1012',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7743]) ).
thf(zip_derived_cl431_2237,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1468_2238,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl97_2239,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7550,plain,
( ( ( op @ e3 @ e2 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1468,zip_derived_cl97]) ).
thf(zip_derived_cl7736,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7550]) ).
thf('1013',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7736]) ).
thf(zip_derived_cl1471_2240,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl444_2241,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl106_2242,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2615,plain,
( ( ( op @ e2 @ e3 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl106]) ).
thf(zip_derived_cl7709,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl2615]) ).
thf('1014',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e4 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7709]) ).
thf(zip_derived_cl1471_2243,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl450_2244,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7703,plain,
( ( e2 = e3 )
<= ( ( ( op @ e2 @ e3 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1471,zip_derived_cl450]) ).
thf(zip_derived_cl188_2245,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1015',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7703,zip_derived_cl188]) ).
thf(zip_derived_cl1471_2246,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl448_2247,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7702,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1471,zip_derived_cl448]) ).
thf(zip_derived_cl191_2248,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('1016',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7702,zip_derived_cl191]) ).
thf(zip_derived_cl1471_2249,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl30]) ).
thf(zip_derived_cl447_2250,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7701,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1471,zip_derived_cl447]) ).
thf(zip_derived_cl194_2251,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('1017',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7701,zip_derived_cl194]) ).
thf(zip_derived_cl501_2252,plain,
( ( ( op @ e0 @ e3 )
= e4 )
<= ( ( op @ e0 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl520_2253,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_2254,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1467,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl152_2255,plain,
( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7507,plain,
( ( ( op @ e0 @ e3 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl152]) ).
thf(zip_derived_cl7692,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e3 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl7507]) ).
thf('1018',plain,
( ( unit != e3 )
| ( ( op @ e0 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7692]) ).
thf(zip_derived_cl476_2256,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1467_2257,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl149_2258,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7506,plain,
( ( ( op @ e1 @ e3 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl149]) ).
thf(zip_derived_cl7685,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e3 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl7506]) ).
thf('1019',plain,
( ( unit != e3 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7685]) ).
thf(zip_derived_cl451_2259,plain,
( ( ( op @ e2 @ e3 )
= e4 )
<= ( ( op @ e2 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1467_2260,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl147_2261,plain,
( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7505,plain,
( ( ( op @ e2 @ e3 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl147]) ).
thf(zip_derived_cl7678,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e3 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl7505]) ).
thf('1020',plain,
( ( unit != e3 )
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7678]) ).
thf(zip_derived_cl416_2262,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1467_2263,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl93_2264,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7503,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl93]) ).
thf(zip_derived_cl7669,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl7503]) ).
thf('1021',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7669]) ).
thf(zip_derived_cl411_2265,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1467_2266,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl90_2267,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7502,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl90]) ).
thf(zip_derived_cl7661,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl7502]) ).
thf('1022',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7661]) ).
thf(zip_derived_cl406_2268,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1467_2269,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl88_2270,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7501,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl88]) ).
thf(zip_derived_cl7653,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl7501]) ).
thf('1023',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7653]) ).
thf(zip_derived_cl1469_2271,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl28]) ).
thf(zip_derived_cl426_2272,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl7594,plain,
( ( e3 = e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1469,zip_derived_cl426]) ).
thf(zip_derived_cl186_2273,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1024',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7594,zip_derived_cl186]) ).
thf(zip_derived_cl1469_2274,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl28]) ).
thf(zip_derived_cl424_2275,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl7593,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1469,zip_derived_cl424]) ).
thf(zip_derived_cl188_2276,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1025',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7593,zip_derived_cl188]) ).
thf(zip_derived_cl1469_2277,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl28]) ).
thf(zip_derived_cl423_2278,plain,
( ( ( op @ e3 @ e3 )
= e1 )
<= ( ( op @ e3 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl7592,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1469,zip_derived_cl423]) ).
thf(zip_derived_cl190_2279,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1026',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7592,zip_derived_cl190]) ).
thf(zip_derived_cl1469_2280,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl28]) ).
thf(zip_derived_cl422_2281,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl7591,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1469,zip_derived_cl422]) ).
thf(zip_derived_cl193_2282,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('1027',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7591,zip_derived_cl193]) ).
thf(zip_derived_cl1468_2283,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl420_2284,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7559,plain,
( ( e4 = e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl420]) ).
thf(zip_derived_cl186_2285,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1028',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7559,zip_derived_cl186]) ).
thf(zip_derived_cl1468_2286,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl419_2287,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7558,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl419]) ).
thf(zip_derived_cl187_2288,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1029',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e4 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7558,zip_derived_cl187]) ).
thf(zip_derived_cl1468_2289,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl418_2290,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7557,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl418]) ).
thf(zip_derived_cl189_2291,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1030',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7557,zip_derived_cl189]) ).
thf(zip_derived_cl1468_2292,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl27]) ).
thf(zip_derived_cl417_2293,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7556,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl417]) ).
thf(zip_derived_cl192_2294,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1031',plain,
( ( unit != e3 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7556,zip_derived_cl192]) ).
thf(zip_derived_cl1467_2295,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl396_2296,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86_2297,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1572,plain,
( ( ( op @ e4 @ e3 )
!= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl86]) ).
thf(zip_derived_cl7517,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e4 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl1572]) ).
thf('1032',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7517]) ).
thf(zip_derived_cl1467_2298,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl911,plain,
( ( ( op @ e4 @ e3 )
!= e4 )
<= ( ( op @ e4 @ e3 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl7512,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
!= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl911]) ).
thf('1033',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e3 )
= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7512]) ).
thf(zip_derived_cl1467_2299,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl400_2300,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl7511,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e3 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1467,zip_derived_cl400]) ).
thf(zip_derived_cl186_2301,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1034',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7511,zip_derived_cl186]) ).
thf(zip_derived_cl1467_2302,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl399_2303,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl7510,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1467,zip_derived_cl399]) ).
thf(zip_derived_cl187_2304,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1035',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7510,zip_derived_cl187]) ).
thf(zip_derived_cl1467_2305,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl398_2306,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl7509,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1467,zip_derived_cl398]) ).
thf(zip_derived_cl189_2307,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1036',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7509,zip_derived_cl189]) ).
thf(zip_derived_cl1467_2308,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl26]) ).
thf(zip_derived_cl397_2309,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl7508,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1467,zip_derived_cl397]) ).
thf(zip_derived_cl192_2310,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1037',plain,
( ( unit != e3 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7508,zip_derived_cl192]) ).
thf(ax107,axiom,
~ ( ( e4
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e0
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl372,plain,
( ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e0
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax107]) ).
thf('1038',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( e4
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl372]) ).
thf(zip_derived_cl1458_2311,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl32]) ).
thf(zip_derived_cl468_2312,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl117_2313,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3316,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl117]) ).
thf(zip_derived_cl7319,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl3316]) ).
thf('1039',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7319]) ).
thf(zip_derived_cl1447_2314,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl32]) ).
thf(zip_derived_cl468_2315,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl122_2316,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3318,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl122]) ).
thf(zip_derived_cl6830,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl3318]) ).
thf('1040',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6830]) ).
thf(zip_derived_cl1440_2317,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl27]) ).
thf(zip_derived_cl468_2318,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl6550,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1440,zip_derived_cl468]) ).
thf(zip_derived_cl189_2319,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1041',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6550,zip_derived_cl189]) ).
thf('1042',plain,
( ( unit = e0 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 )
| ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1485_2320,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl26]) ).
thf(zip_derived_cl395_2321,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl8188,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl395]) ).
thf(zip_derived_cl186_2322,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('1043',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8188,zip_derived_cl186]) ).
thf(zip_derived_cl445_2323,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl395_2324,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137_2325,plain,
( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2479,plain,
( ( ( op @ e2 @ e4 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl137]) ).
thf(zip_derived_cl2660,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl2479]) ).
thf('1044',plain,
( ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2660]) ).
thf(zip_derived_cl470_2326,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl395_2327,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl139_2328,plain,
( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2567,plain,
( ( ( op @ e1 @ e4 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl139]) ).
thf(zip_derived_cl3399,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl2567]) ).
thf('1045',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3399]) ).
thf('1046',plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf('1047',plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('1048',plain,
( ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(ax29,axiom,
~ ( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( e4
= ( op @ e2 @ e2 ) )
& ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ) ).
thf(zip_derived_cl294,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e4
!= ( op @ e2 @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(cnf,[status(esa)],[ax29]) ).
thf('1049',plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e2 )
!= e4 )
| ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zip_derived_cl402_2329,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl456_2330,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl959_2331,plain,
( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
<= ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl5834,plain,
( ( e0
!= ( op @ e4 @ e2 ) )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl959]) ).
thf(zip_derived_cl9267,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
& ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl5834]) ).
thf('1050',plain,
( ( e0
= ( op @ ( op @ e2 @ e2 ) @ e2 ) )
| ( ( op @ e4 @ e2 )
!= e0 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9267]) ).
thf(zip_derived_cl443_2332,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl456_2333,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1012_2334,plain,
( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
<= ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl288]) ).
thf(zip_derived_cl5888,plain,
( ( e1
!= ( op @ e2 @ e4 ) )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl1012]) ).
thf(zip_derived_cl9520,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
& ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl5888]) ).
thf('1051',plain,
( ( e1
= ( op @ e2 @ ( op @ e2 @ e2 ) ) )
| ( ( op @ e2 @ e4 )
!= e1 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9520]) ).
thf(zip_derived_cl481_2335,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl456_2336,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl161_2337,plain,
( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3178,plain,
( ( ( op @ e1 @ e2 )
!= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl161]) ).
thf(zip_derived_cl3958,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl3178]) ).
thf('1052',plain,
( ( ( op @ e1 @ e2 )
!= e4 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3958]) ).
thf(zip_derived_cl480_2338,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl443_2339,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl6062_2340,plain,
( ( e3
!= ( op @ ( op @ e2 @ e4 ) @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl961]) ).
thf(zip_derived_cl10425,plain,
( ( e3
!= ( op @ e1 @ e2 ) )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl6062]) ).
thf(zip_derived_cl11424,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
& ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e2 )
= e4 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl10425]) ).
thf('1053',plain,
( ( e3
= ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ e2 ) )
| ( ( op @ e2 @ e4 )
!= e1 )
| ( ( op @ e1 @ e2 )
!= e3 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11424]) ).
thf(zip_derived_cl64,plain,
( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('1054',plain,
( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl428_2341,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl427_2342,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2120,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e2 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl427]) ).
thf(zip_derived_cl195_2343,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('1055',plain,
( ( ( op @ e3 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2120,zip_derived_cl195]) ).
thf(zip_derived_cl12098,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','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','127','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','228','229','230','231','232','233','234','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','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534','535','536','537','538','539','540','541','542','543','544','545','546','547','548','549','550','551','552','553','554','555','556','557','558','559','560','561','562','563','564','565','566','567','568','569','570','571','572','573','574','575','576','577','578','579','580','581','582','583','584','585','586','587','588','589','590','591','592','593','594','595','596','597','598','599','600','601','602','603','604','605','606','607','608','609','610','611','612','613','614','615','616','617','618','619','620','621','622','623','624','625','626','627','628','629','630','631','632','633','634','635','636','637','638','639','640','641','642','643','644','645','646','647','648','649','650','651','652','653','654','655','656','657','658','659','660','661','662','663','664','665','666','667','668','669','670','671','672','673','674','675','676','677','678','679','680','681','682','683','684','685','686','687','688','689','690','691','692','693','694','695','696','697','698','699','700','701','702','703','704','705','706','707','708','709','710','711','712','713','714','715','716','717','718','719','720','721','722','723','724','725','726','727','728','729','730','731','732','733','734','735','736','737','738','739','740','741','742','743','744','745','746','747','748','749','750','751','752','753','754','755','756','757','758','759','760','761','762','763','764','765','766','767','768','769','770','771','772','773','774','775','776','777','778','779','780','781','782','783','784','785','786','787','788','789','790','791','792','793','794','795','796','797','798','799','800','801','802','803','804','805','806','807','808','809','810','811','812','813','814','815','816','817','818','819','820','821','822','823','824','825','826','827','828','829','830','831','832','833','834','835','836','837','838','839','840','841','842','843','84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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG100+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GZ4TQVqDij true
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 02:34:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.66 % Total configuration time : 435
% 0.19/0.66 % Estimated wc time : 1092
% 0.19/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 15.51/2.84 % Solved by fo/fo1_av.sh.
% 15.51/2.84 % done 8624 iterations in 1.862s
% 15.51/2.84 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.51/2.84 % SZS output start Refutation
% See solution above
% 15.84/2.88
% 15.84/2.88
% 15.84/2.88 % /export/starexec/sandbox/solver/bin/fo/fo2.sh running for 38s
% 15.84/2.88 % Terminating...
% 15.84/2.94 % Runner terminated.
% 15.84/2.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------