%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG122+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxUduzmUj4 true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:45 PM UTC 2025
% Result : Theorem 55.00s 8.44s
% Output : Refutation 55.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 2088 ( 476 unt; 0 typ; 0 def)
% Number of atoms : 5654 (5365 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 18567 (1921 ~;1575 |; 976 &;13080 @)
% ( 0 <=>; 32 =>; 983 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 46 usr; 41 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e23_type,type,
e23: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(ax11,axiom,
( ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) )
& ( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) )
& ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) )
& ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_24
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl370,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_28
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl394,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('1',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_18
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl335,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('2',plain,
( ~ zip_tseitin_18
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl335]) ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl52,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1677,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1676,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24753,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1676]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('3',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24753,zip_derived_cl203]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl67,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('4',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl50,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1671,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24699,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1670]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('5',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24699,zip_derived_cl198]) ).
thf(zip_derived_cl1671_001,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1668,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24697,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1668]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('6',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24697,zip_derived_cl201]) ).
thf(zip_derived_cl88,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('7',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl59,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1707,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1704,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25099,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1707,zip_derived_cl1704]) ).
thf(zip_derived_cl201_002,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('8',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25099,zip_derived_cl201]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_17
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl330,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('9',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl330]) ).
thf(zip_derived_cl49,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1666,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(ax6,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( e21
= ( op2 @ e23 @ e23 ) )
& ( e20
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) ) ).
thf(zip_derived_cl425,plain,
( e22
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl426,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23093,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27223,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl23093]) ).
thf(zip_derived_cl27442,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl27223]) ).
thf('10',plain,
( ( op2 @ e23 @ e22 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27442]) ).
thf(zip_derived_cl328,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('11',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl328]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_22
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl359,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('12',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_27
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl391,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('13',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zip_derived_cl55,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1691,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24907,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1688]) ).
thf(zip_derived_cl201_003,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('14',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24907,zip_derived_cl201]) ).
thf(zip_derived_cl92,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('15',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf(zip_derived_cl1689,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl54,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1685,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24852,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl155]) ).
thf(zip_derived_cl27943,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1689,zip_derived_cl24852]) ).
thf('16',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27943]) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1673,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_004,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23089,plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl426]) ).
thf(zip_derived_cl27166,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl23089]) ).
thf('17',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27166]) ).
thf(zip_derived_cl1706,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1705,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25085,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1706,zip_derived_cl1705]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('18',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25085,zip_derived_cl200]) ).
thf(zip_derived_cl58,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1703,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zf_stmt_6,type,
zip_tseitin_31: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_31
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_30: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_30
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_29: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_29
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_28: $o ).
thf(zf_stmt_13,type,
zip_tseitin_27: $o ).
thf(zf_stmt_14,type,
zip_tseitin_26: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_26
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_25: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_25
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_24: $o ).
thf(zf_stmt_19,type,
zip_tseitin_23: $o ).
thf(zf_stmt_20,axiom,
( zip_tseitin_23
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_21,type,
zip_tseitin_22: $o ).
thf(zf_stmt_22,type,
zip_tseitin_21: $o ).
thf(zf_stmt_23,axiom,
( zip_tseitin_21
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_20: $o ).
thf(zf_stmt_25,axiom,
( zip_tseitin_20
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_19: $o ).
thf(zf_stmt_27,axiom,
( zip_tseitin_19
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_18: $o ).
thf(zf_stmt_29,type,
zip_tseitin_17: $o ).
thf(zf_stmt_30,type,
zip_tseitin_16: $o ).
thf(zf_stmt_31,axiom,
( zip_tseitin_16
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_32,axiom,
( ( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20
| zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 )
& ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) )
& ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) )
& ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) )
& ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zip_derived_cl420,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2293,plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
<= ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27159,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl2293]) ).
thf(zip_derived_cl23093_005,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl31382,plain,
( ( e22 = e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27159,zip_derived_cl23093]) ).
thf(zip_derived_cl198_006,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('19',plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31382,zip_derived_cl198]) ).
thf(zip_derived_cl62,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1716,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2292,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27147,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1716,zip_derived_cl2292]) ).
thf(zip_derived_cl1716_007,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25252,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl167]) ).
thf('20',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27147,zip_derived_cl25252]) ).
thf('21',plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1701,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1700,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25018,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1701,zip_derived_cl1700]) ).
thf(zip_derived_cl203_008,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('22',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25018,zip_derived_cl203]) ).
thf(zip_derived_cl1719,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716_009,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25302,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1719,zip_derived_cl1716]) ).
thf(zip_derived_cl201_010,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('23',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25302,zip_derived_cl201]) ).
thf(zip_derived_cl57,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1698,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl53,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1682,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24812,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1682,zip_derived_cl176]) ).
thf(zip_derived_cl27895,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl24812]) ).
thf('24',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27895]) ).
thf(zip_derived_cl56,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1694,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24934,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1694,zip_derived_cl1692]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('25',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24934,zip_derived_cl202]) ).
thf(zip_derived_cl63,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1720,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1688_011,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24886,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl190]) ).
thf(zip_derived_cl27987,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl24886]) ).
thf('26',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27987]) ).
thf('27',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1723,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1722,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25370,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl1722]) ).
thf(zip_derived_cl198_012,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('28',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25370,zip_derived_cl198]) ).
thf(zip_derived_cl61,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1715,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1713,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25237,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1713]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('29',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25237,zip_derived_cl199]) ).
thf(co1,conjecture,
( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_33,negated_conjecture,
~ ( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl1252,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('30',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1252]) ).
thf(zip_derived_cl1212,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl17673,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) )
& ( e11
= ( op1 @ e13 @ e13 ) )
& ( e10
= ( op1 @ e13 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ) ) ).
thf(zip_derived_cl422,plain,
( e12
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl423,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23072,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(ax17,axiom,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e13 )
= e23 ) ) ).
thf(zip_derived_cl440,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_013,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23144,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl426]) ).
thf(zip_derived_cl23093_014,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27230,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl443,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl441,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_015,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23149,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23093_016,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl42646,plain,
( ( e22 != e22 )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17673,zip_derived_cl23072,zip_derived_cl27230,zip_derived_cl443,zip_derived_cl23149,zip_derived_cl23093]) ).
thf('31',plain,
( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42646]) ).
thf(zip_derived_cl17678,plain,
( ( ( h4 @ e10 )
!= e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl442,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_017,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427,plain,
( e20
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl426_018,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23098,plain,
( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl426]) ).
thf(zip_derived_cl23157,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl25074,plain,
( ( e20 != e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl17678,zip_derived_cl23157]) ).
thf('32',plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl25074]) ).
thf(zip_derived_cl17675,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl423_019,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23149_020,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl443_021,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl443_022,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl426_023,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl42650,plain,
( ( e21 != e21 )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17675,zip_derived_cl423,zip_derived_cl23149,zip_derived_cl443,zip_derived_cl443,zip_derived_cl426]) ).
thf('33',plain,
( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42650]) ).
thf(zip_derived_cl17674,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl424,plain,
( e10
= ( op1 @ e13 @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl423_024,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23079,plain,
( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl424,zip_derived_cl423]) ).
thf(zip_derived_cl23072_025,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27090,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl23157_026,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl443_027,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27230_028,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl23098_029,plain,
( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl426]) ).
thf(zip_derived_cl23093_030,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27229,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl42648,plain,
( ( e20 != e20 )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17674,zip_derived_cl27090,zip_derived_cl23157,zip_derived_cl443,zip_derived_cl27230,zip_derived_cl27229]) ).
thf('34',plain,
( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42648]) ).
thf(zip_derived_cl1675,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl23093_031,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl1671_032,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl27232,plain,
( ( e22 = e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23093,zip_derived_cl1671]) ).
thf(zip_derived_cl198_033,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('35',plain,
( ( op2 @ e23 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27232,zip_derived_cl198]) ).
thf(zip_derived_cl48,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1663,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_034,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24571,plain,
( ( e21 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1663,zip_derived_cl426]) ).
thf(zip_derived_cl199_035,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('36',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24571,zip_derived_cl199]) ).
thf(zip_derived_cl27229_036,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl1667,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl27511,plain,
( ( e20 = e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27229,zip_derived_cl1667]) ).
thf(zip_derived_cl201_037,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('37',plain,
( ( op2 @ e23 @ e22 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27511,zip_derived_cl201]) ).
thf(zip_derived_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('38',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('39',plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('sat_resolution*',[status(thm)],['35','36','37','38']) ).
thf(zip_derived_cl27516,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1675,'39']) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl3,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1483,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23072_038,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1479,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27092,plain,
( ( e12 = e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23072,zip_derived_cl1479]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('40',plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27092,zip_derived_cl192]) ).
thf(zip_derived_cl0,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1471,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_039,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23180,plain,
( ( e11 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1471,zip_derived_cl423]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('41',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23180,zip_derived_cl193]) ).
thf(zip_derived_cl27090_040,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1475,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl27369,plain,
( ( e10 = e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27090,zip_derived_cl1475]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('42',plain,
( ( op1 @ e13 @ e12 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27369,zip_derived_cl195]) ).
thf(ax2,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl17,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('43',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf('44',plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('sat_resolution*',[status(thm)],['40','41','42','43']) ).
thf(zip_derived_cl27378,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1483,'44']) ).
thf(zip_derived_cl17672,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl443_041,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl23157_042,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl42645,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17672,zip_derived_cl443,zip_derived_cl23157]) ).
thf(zip_derived_cl47506,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27378,zip_derived_cl42645]) ).
thf(zip_derived_cl443_043,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47510,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47506,zip_derived_cl443]) ).
thf(zip_derived_cl47529,plain,
( ( e23 != e23 )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27516,zip_derived_cl47510]) ).
thf('45',plain,
( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47529]) ).
thf(zip_derived_cl17677,plain,
( ( ( h4 @ e13 )
!= e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl443_044,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl25072,plain,
( ( e23 != e23 )
<= ( ( h4 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17677,zip_derived_cl443]) ).
thf('46',plain,
( ( h4 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl25072]) ).
thf(zip_derived_cl1220,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl17839,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1220]) ).
thf(zip_derived_cl23149_045,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl25155,plain,
( ( e21 != e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl17839,zip_derived_cl23149]) ).
thf('47',plain,
( ( h4 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl25155]) ).
thf(zip_derived_cl1670_046,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1244,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl18319,plain,
( ( ( h4 @ e12 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1244]) ).
thf(zip_derived_cl23144_047,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl426]) ).
thf(zip_derived_cl25357,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl18319,zip_derived_cl23144]) ).
thf(zip_derived_cl25360,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl25357]) ).
thf('48',plain,
( ( ( h4 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25360]) ).
thf(zip_derived_cl83,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('49',plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1702,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23093_048,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27226,plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl23093]) ).
thf(zip_derived_cl27486,plain,
( ( e22 != e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1702,zip_derived_cl27226]) ).
thf('50',plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27486]) ).
thf(zip_derived_cl1715_049,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl13,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1523,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf('51',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1521,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(ax10,axiom,
( ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) )
& ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) )
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) )
& ( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) )
& ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) ) ).
thf(zf_stmt_34,type,
zip_tseitin_15: $o ).
thf(zf_stmt_35,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_36,type,
zip_tseitin_14: $o ).
thf(zf_stmt_37,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_38,type,
zip_tseitin_13: $o ).
thf(zf_stmt_39,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_40,type,
zip_tseitin_12: $o ).
thf(zf_stmt_41,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_42,type,
zip_tseitin_11: $o ).
thf(zf_stmt_43,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_44,type,
zip_tseitin_10: $o ).
thf(zf_stmt_45,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_46,type,
zip_tseitin_9: $o ).
thf(zf_stmt_47,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_48,type,
zip_tseitin_8: $o ).
thf(zf_stmt_49,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_50,type,
zip_tseitin_7: $o ).
thf(zf_stmt_51,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_52,type,
zip_tseitin_6: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_54,type,
zip_tseitin_5: $o ).
thf(zf_stmt_55,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_56,type,
zip_tseitin_4: $o ).
thf(zf_stmt_57,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_3: $o ).
thf(zf_stmt_59,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_60,type,
zip_tseitin_2: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_1: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_64,type,
zip_tseitin_0: $o ).
thf(zf_stmt_65,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_66,axiom,
( ( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 )
& ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) )
& ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) )
& ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) )
| ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) ) )
& ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl318,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl2064,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26717,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl2064]) ).
thf(zip_derived_cl11,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1512,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl29196,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26717,zip_derived_cl1512]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('52',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29196,zip_derived_cl197]) ).
thf(zip_derived_cl1529,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1521_050,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(ax5,axiom,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23735,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl118]) ).
thf(zip_derived_cl27758,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23735]) ).
thf('53',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27758]) ).
thf(zip_derived_cl9,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1507,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl8,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1503,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23554,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl108]) ).
thf(zip_derived_cl27598,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl23554]) ).
thf('54',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27598]) ).
thf(zip_derived_cl1506,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2065,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26727,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl2065]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23072_051,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27086,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl23072]) ).
thf('55',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26727,zip_derived_cl27086]) ).
thf(zip_derived_cl1515,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1483_052,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23309,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl139]) ).
thf(zip_derived_cl27163,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl23309]) ).
thf('56',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27163]) ).
thf(zip_derived_cl1514,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1506_053,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23585,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl112]) ).
thf(zip_derived_cl27648,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23585]) ).
thf('57',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27648]) ).
thf(zip_derived_cl1513,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1497,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23485,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl140]) ).
thf(zip_derived_cl27544,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl23485]) ).
thf('58',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27544]) ).
thf('59',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1486,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23350,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl105]) ).
thf(zip_derived_cl27269,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23350]) ).
thf('60',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27269]) ).
thf(zip_derived_cl6,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1495,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23463,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1492]) ).
thf(zip_derived_cl195_054,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('61',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23463,zip_derived_cl195]) ).
thf(zip_derived_cl1499,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1483_055,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23308,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl138]) ).
thf(zip_derived_cl27139,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl23308]) ).
thf('62',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27139]) ).
thf('63',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1504,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1472,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23189,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl127]) ).
thf(zip_derived_cl26816,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl23189]) ).
thf('64',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26816]) ).
thf(zip_derived_cl1507_056,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1491,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23408,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl128]) ).
thf(zip_derived_cl27439,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl23408]) ).
thf('65',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27439]) ).
thf('66',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1507_057,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2065_058,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26728,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl2065]) ).
thf(zip_derived_cl23072_059,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl29432,plain,
( ( e12 = e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26728,zip_derived_cl23072]) ).
thf(zip_derived_cl192_060,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('67',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29432,zip_derived_cl192]) ).
thf(zip_derived_cl1489,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2066,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
<= ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26732,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl2066]) ).
thf(zip_derived_cl1489_061,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128_062,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23387,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl128]) ).
thf('68',plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26732,zip_derived_cl23387]) ).
thf(zip_derived_cl1521_063,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1489_064,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23388,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl130]) ).
thf(zip_derived_cl27411,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl23388]) ).
thf('69',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27411]) ).
thf(zip_derived_cl1522,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2064_065,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26718,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2064]) ).
thf(zip_derived_cl23350_066,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl105]) ).
thf(zip_derived_cl29309,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26718,zip_derived_cl23350]) ).
thf('70',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29309]) ).
thf(zip_derived_cl1503_067,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl317,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl2061,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26680,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl2061]) ).
thf(zip_derived_cl23072_068,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl29181,plain,
( ( e12 = e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26680,zip_derived_cl23072]) ).
thf(zip_derived_cl192_069,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('71',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29181,zip_derived_cl192]) ).
thf(zip_derived_cl12,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1518,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1486_070,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23352,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl124]) ).
thf(zip_derived_cl27279,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl23352]) ).
thf('72',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27279]) ).
thf(zip_derived_cl1486_071,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2062,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26688,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl2062]) ).
thf(zip_derived_cl1486_072,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23348,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl102]) ).
thf('73',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26688,zip_derived_cl23348]) ).
thf(zip_derived_cl1514_073,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1513_074,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23680,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl1513]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('74',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23680,zip_derived_cl194]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('75',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('76',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl10,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1511,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1509,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23652,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1509]) ).
thf(zip_derived_cl193_075,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('77',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23652,zip_derived_cl193]) ).
thf(zip_derived_cl1509_076,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1508,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23628,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1509,zip_derived_cl1508]) ).
thf(zip_derived_cl197_077,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('78',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23628,zip_derived_cl197]) ).
thf(zip_derived_cl14,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1527,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1524,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23792,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1524]) ).
thf(zip_derived_cl195_078,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('79',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23792,zip_derived_cl195]) ).
thf(zip_derived_cl1496,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1492_079,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23424,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl107]) ).
thf(zip_derived_cl27454,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl23424]) ).
thf('80',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27454]) ).
thf(zip_derived_cl1512_080,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1500,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23524,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1500,zip_derived_cl111]) ).
thf(zip_derived_cl27568,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl23524]) ).
thf('81',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27568]) ).
thf(zip_derived_cl1495_081,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1487,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23362,plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl103]) ).
thf(zip_derived_cl27296,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl23362]) ).
thf('82',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27296]) ).
thf(zip_derived_cl1528,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1524_082,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23769,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl119]) ).
thf(zip_derived_cl27774,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl23769]) ).
thf('83',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27774]) ).
thf(zip_derived_cl19,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('84',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1482,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1480,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23301,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1482,zip_derived_cl1480]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('85',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23301,zip_derived_cl196]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('86',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1510,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1509_083,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23639,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl1509]) ).
thf(zip_derived_cl194_084,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('87',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23639,zip_derived_cl194]) ).
thf(zip_derived_cl1519,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518_085,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23725,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1518]) ).
thf(zip_derived_cl192_086,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('88',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23725,zip_derived_cl192]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('89',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl1513_087,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512_088,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23671,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl1512]) ).
thf(zip_derived_cl197_089,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('90',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23671,zip_derived_cl197]) ).
thf(zip_derived_cl1503_090,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23559,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1501]) ).
thf(zip_derived_cl193_091,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('91',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23559,zip_derived_cl193]) ).
thf(zip_derived_cl244,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('92',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl268,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('93',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl268]) ).
thf(zip_derived_cl292,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('94',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
thf(zip_derived_cl1502,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1486_092,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23351,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl122]) ).
thf(zip_derived_cl27275,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl23351]) ).
thf('95',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27275]) ).
thf(zip_derived_cl1506_093,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1502_094,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl108_095,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23542,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl108]) ).
thf(zip_derived_cl27578,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl23542]) ).
thf('96',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27578]) ).
thf(zip_derived_cl1502_096,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1500_097,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23546,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl1500]) ).
thf(zip_derived_cl196_098,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('97',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23546,zip_derived_cl196]) ).
thf(zip_derived_cl1496_099,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1484,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105_100,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23325,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl105]) ).
thf(zip_derived_cl27217,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl23325]) ).
thf('98',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27217]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('99',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf('100',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl27090_101,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl2067,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl27370,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27090,zip_derived_cl2067]) ).
thf(zip_derived_cl1518_102,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl31890,plain,
( ( e10 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27370,zip_derived_cl1518]) ).
thf(zip_derived_cl196_103,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('101',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31890,zip_derived_cl196]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('102',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1501_104,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_105,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23070,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl423]) ).
thf(zip_derived_cl27064,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl23070]) ).
thf('103',plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27064]) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('104',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('105',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl297,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('106',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('107',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl25,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('108',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1499_106,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496_107,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23509,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1496]) ).
thf(zip_derived_cl195_108,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('109',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23509,zip_derived_cl195]) ).
thf(zip_derived_cl1495_109,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1493,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23464,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1493]) ).
thf(zip_derived_cl193_110,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('110',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23464,zip_derived_cl193]) ).
thf(zip_derived_cl1500_111,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2061_112,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26677,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1500,zip_derived_cl2061]) ).
thf(zip_derived_cl1492_113,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl136,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23426,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl136]) ).
thf(zip_derived_cl29063,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26677,zip_derived_cl23426]) ).
thf('111',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29063]) ).
thf(zip_derived_cl26677_114,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1500,zip_derived_cl2061]) ).
thf(zip_derived_cl1525,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl29059,plain,
( ( e10 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26677,zip_derived_cl1525]) ).
thf(zip_derived_cl197_115,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('112',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29059,zip_derived_cl197]) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('113',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1514_116,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512_117,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23679,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl1512]) ).
thf(zip_derived_cl196_118,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('114',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23679,zip_derived_cl196]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('115',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1482_119,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1478,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23252,plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl101]) ).
thf(zip_derived_cl27006,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl23252]) ).
thf('116',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27006]) ).
thf(zip_derived_cl1518_120,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2060,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26670,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl2060]) ).
thf(zip_derived_cl1490,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl106,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23396,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl106]) ).
thf(zip_derived_cl27418,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26670,zip_derived_cl23396]) ).
thf('117',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27418]) ).
thf(zip_derived_cl1518_121,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1502_122,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl125,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23545,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl125]) ).
thf(zip_derived_cl27589,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl23545]) ).
thf('118',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27589]) ).
thf(zip_derived_cl1530,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1518_123,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23712,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl117]) ).
thf(zip_derived_cl27737,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23712]) ).
thf('119',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27737]) ).
thf('120',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1517,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_124,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23071,plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl423]) ).
thf(zip_derived_cl27076,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1517,zip_derived_cl23071]) ).
thf('121',plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27076]) ).
thf(zip_derived_cl2063,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl423_125,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl423_126,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26690,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2063,zip_derived_cl423,zip_derived_cl423]) ).
thf(zip_derived_cl23070_127,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl423]) ).
thf(zip_derived_cl27067,plain,
( ( e11 != e11 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26690,zip_derived_cl23070]) ).
thf('122',plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27067]) ).
thf(zip_derived_cl1487_128,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2062_129,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26689,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl2062]) ).
thf(zip_derived_cl27090_130,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl29193,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26689,zip_derived_cl27090]) ).
thf(zip_derived_cl195_131,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('123',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29193,zip_derived_cl195]) ).
thf(zip_derived_cl1502_132,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2061_133,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26679,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl2061]) ).
thf(zip_derived_cl27086_134,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl23072]) ).
thf('124',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= ( op1 @ e11 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26679,zip_derived_cl27086]) ).
thf('125',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1516,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1484_135,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124_136,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23327,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl124]) ).
thf(zip_derived_cl27255,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl23327]) ).
thf('126',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27255]) ).
thf(zip_derived_cl1516_137,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2060_138,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26668,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1516,zip_derived_cl2060]) ).
thf(zip_derived_cl1516_139,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl117_140,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23700,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl117]) ).
thf(zip_derived_cl27726,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26668,zip_derived_cl23700]) ).
thf('127',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
!= ( op1 @ e10 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27726]) ).
thf(zip_derived_cl1518_141,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516_142,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23713,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl1516]) ).
thf(zip_derived_cl196_143,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('128',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23713,zip_derived_cl196]) ).
thf('129',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl273,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('130',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl291,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('131',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl291]) ).
thf(zip_derived_cl1498_144,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23396_145,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl106]) ).
thf(zip_derived_cl27417,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23396]) ).
thf('132',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27417]) ).
thf(zip_derived_cl1490_146,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23348_147,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl102]) ).
thf(zip_derived_cl27261,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl23348]) ).
thf('133',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27261]) ).
thf(zip_derived_cl1523_148,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1519_149,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23720,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl114]) ).
thf(zip_derived_cl27742,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl23720]) ).
thf('134',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27742]) ).
thf(zip_derived_cl1523_150,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1491_151,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl130_152,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23409,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl130]) ).
thf(zip_derived_cl27452,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl23409]) ).
thf('135',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27452]) ).
thf(zip_derived_cl1475_153,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1472_154,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23220,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl1472]) ).
thf(zip_derived_cl195_155,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('136',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23220,zip_derived_cl195]) ).
thf(zip_derived_cl1474,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1472_156,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23210,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1474,zip_derived_cl1472]) ).
thf(zip_derived_cl196_157,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('137',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23210,zip_derived_cl196]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('138',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('139',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl26,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('140',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1478_158,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1474_159,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23205,plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl98]) ).
thf(zip_derived_cl26858,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl23205]) ).
thf('141',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26858]) ).
thf(zip_derived_cl1488,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1472_160,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23188,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl126]) ).
thf(zip_derived_cl26805,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl23188]) ).
thf('142',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26805]) ).
thf(zip_derived_cl320,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('143',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl1483_161,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2075,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) )
<= ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl26930,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl2075]) ).
thf(zip_derived_cl423_162,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26931,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26930,zip_derived_cl423]) ).
thf(zip_derived_cl193_163,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('144',plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
!= ( op1 @ e13 @ e10 ) )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26931,zip_derived_cl193]) ).
thf(zip_derived_cl1514_164,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2073,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
<= ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl26863,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl2073]) ).
thf(zip_derived_cl27086_165,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl23072]) ).
thf('145',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26863,zip_derived_cl27086]) ).
thf(zip_derived_cl1486_166,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_167,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23353,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl1484]) ).
thf(zip_derived_cl196_168,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('146',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23353,zip_derived_cl196]) ).
thf(zip_derived_cl1529_169,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2072,plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl26837,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl2072]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl29692,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26837,zip_derived_cl143]) ).
thf(zip_derived_cl1529_170,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl29720,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29692,zip_derived_cl1529]) ).
thf('147',plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= ( op1 @ e10 @ e10 ) )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29720]) ).
thf(zip_derived_cl35,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('148',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1510_171,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1478_172,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23254,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl133]) ).
thf(zip_derived_cl27016,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl23254]) ).
thf('149',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27016]) ).
thf(zip_derived_cl18,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('150',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('151',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1481,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl99,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_173,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23068,plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl423]) ).
thf(zip_derived_cl27037,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl23068]) ).
thf('152',plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27037]) ).
thf(zip_derived_cl1525_174,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1524_175,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23774,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1524]) ).
thf(zip_derived_cl197_176,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('153',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23774,zip_derived_cl197]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('154',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('155',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl243,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('156',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl1519_177,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1517_178,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23724,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1517]) ).
thf(zip_derived_cl193_179,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('157',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23724,zip_derived_cl193]) ).
thf(zip_derived_cl1519_180,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516_181,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23723,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1516]) ).
thf(zip_derived_cl195_182,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('158',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23723,zip_derived_cl195]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('159',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('160',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl1503_183,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1502_184,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23560,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1502]) ).
thf(zip_derived_cl192_185,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('161',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23560,zip_derived_cl192]) ).
thf(zip_derived_cl1502_186,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501_187,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23547,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl1501]) ).
thf(zip_derived_cl194_188,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('162',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23547,zip_derived_cl194]) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('163',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1494,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1478_189,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132_190,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23253,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl132]) ).
thf(zip_derived_cl27011,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl23253]) ).
thf('164',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27011]) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('165',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('166',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
thf(zip_derived_cl23072_191,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl1476,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27091,plain,
( ( e12 = e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23072,zip_derived_cl1476]) ).
thf(zip_derived_cl196_192,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('167',plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27091,zip_derived_cl196]) ).
thf('168',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('169',plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1479_193,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1478_194,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23270,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl1478]) ).
thf(zip_derived_cl192_195,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('170',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23270,zip_derived_cl192]) ).
thf(zip_derived_cl1478_196,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_197,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23256,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl1476]) ).
thf(zip_derived_cl196_198,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('171',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23256,zip_derived_cl196]) ).
thf(zip_derived_cl1483_199,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1480_200,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23311,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1480]) ).
thf(zip_derived_cl195_201,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('172',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23311,zip_derived_cl195]) ).
thf(zip_derived_cl1520,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1472_202,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl129,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23190,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl129]) ).
thf(zip_derived_cl26821,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl23190]) ).
thf('173',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26821]) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('174',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl1497_203,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1493_204,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107_205,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23438,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl107]) ).
thf(zip_derived_cl27480,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl23438]) ).
thf('175',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27480]) ).
thf(zip_derived_cl258,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('176',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('177',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl1531,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1483_206,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23310,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl141]) ).
thf(zip_derived_cl27177,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl23310]) ).
thf('178',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27177]) ).
thf('179',plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl1527_207,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1525_208,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23793,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1525]) ).
thf(zip_derived_cl193_209,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('180',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23793,zip_derived_cl193]) ).
thf(zip_derived_cl26718_210,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2064]) ).
thf(zip_derived_cl1497_211,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl29305,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26718,zip_derived_cl1497]) ).
thf(zip_derived_cl194_212,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('181',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29305,zip_derived_cl194]) ).
thf(zip_derived_cl36,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('182',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1477,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_213,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23067,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl423]) ).
thf(zip_derived_cl27029,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1477,zip_derived_cl23067]) ).
thf('183',plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27029]) ).
thf(zip_derived_cl1485,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_214,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23069,plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl423]) ).
thf(zip_derived_cl27046,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl23069]) ).
thf('184',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27046]) ).
thf(zip_derived_cl27370_215,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27090,zip_derived_cl2067]) ).
thf(zip_derived_cl1519_216,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl31891,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27370,zip_derived_cl1519]) ).
thf(zip_derived_cl195_217,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('185',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31891,zip_derived_cl195]) ).
thf(zip_derived_cl1487_218,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1486_219,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23368,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl1486]) ).
thf(zip_derived_cl192_220,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('186',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23368,zip_derived_cl192]) ).
thf(zip_derived_cl1487_221,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1485_222,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23367,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl1485]) ).
thf(zip_derived_cl193_223,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('187',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23367,zip_derived_cl193]) ).
thf(zip_derived_cl1487_224,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_225,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23366,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl1484]) ).
thf(zip_derived_cl195_226,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('188',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23366,zip_derived_cl195]) ).
thf(zip_derived_cl1494_227,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1493_228,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23453,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1494,zip_derived_cl1493]) ).
thf(zip_derived_cl194_229,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('189',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23453,zip_derived_cl194]) ).
thf(zip_derived_cl1493_230,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_231,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23441,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl1492]) ).
thf(zip_derived_cl197_232,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('190',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23441,zip_derived_cl197]) ).
thf(zip_derived_cl29,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('191',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('192',plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('193',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1498_233,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1497_234,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23498,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl1497]) ).
thf(zip_derived_cl194_235,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('194',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23498,zip_derived_cl194]) ).
thf(zip_derived_cl1497_236,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496_237,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23487,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl1496]) ).
thf(zip_derived_cl197_238,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('195',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23487,zip_derived_cl197]) ).
thf(zip_derived_cl1494_239,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_240,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23452,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1494,zip_derived_cl1492]) ).
thf(zip_derived_cl196_241,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('196',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23452,zip_derived_cl196]) ).
thf(zip_derived_cl1491_242,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1490_243,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23412,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl1490]) ).
thf(zip_derived_cl192_244,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('197',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23412,zip_derived_cl192]) ).
thf(zip_derived_cl1491_245,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1488_246,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23410,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl1488]) ).
thf(zip_derived_cl195_247,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('198',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23410,zip_derived_cl195]) ).
thf(zip_derived_cl1498_248,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496_249,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23497,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl1496]) ).
thf(zip_derived_cl196_250,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('199',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23497,zip_derived_cl196]) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('200',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl1522_251,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1518_252,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114_253,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23710,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl114]) ).
thf(zip_derived_cl27732,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl23710]) ).
thf('201',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27732]) ).
thf(zip_derived_cl1523_254,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1522_255,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23762,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl1522]) ).
thf(zip_derived_cl192_256,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('202',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23762,zip_derived_cl192]) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('203',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl293,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('204',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl1496_257,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2074,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
<= ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl26902,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1496,zip_derived_cl2074]) ).
thf(zip_derived_cl129_258,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl27090_259,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl27366,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl27090]) ).
thf('205',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26902,zip_derived_cl27366]) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('206',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl1505,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2065_260,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26726,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl2065]) ).
thf(zip_derived_cl1505_261,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23576,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl110]) ).
thf('207',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26726,zip_derived_cl23576]) ).
thf(zip_derived_cl1521_262,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1505_263,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23578,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl131]) ).
thf(zip_derived_cl27630,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl23578]) ).
thf('208',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27630]) ).
thf(zip_derived_cl1513_264,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1505_265,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112_266,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23577,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl112]) ).
thf(zip_derived_cl27621,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl23577]) ).
thf('209',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27621]) ).
thf(zip_derived_cl1509_267,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23576_268,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl110]) ).
thf(zip_derived_cl27617,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl23576]) ).
thf('210',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27617]) ).
thf(zip_derived_cl1505_269,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23387_270,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl128]) ).
thf(zip_derived_cl27402,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl23387]) ).
thf('211',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27402]) ).
thf(zip_derived_cl1507_271,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1505_272,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23604,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1505]) ).
thf(zip_derived_cl193_273,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('212',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23604,zip_derived_cl193]) ).
thf(zip_derived_cl1506_274,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1505_275,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23588,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1505]) ).
thf(zip_derived_cl194_276,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('213',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23588,zip_derived_cl194]) ).
thf(zip_derived_cl1473,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423_277,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23066,plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl423]) ).
thf(zip_derived_cl27020,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl23066]) ).
thf('214',plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27020]) ).
thf(zip_derived_cl1491_278,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2066_279,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) )
<= ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl26734,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl2066]) ).
thf(zip_derived_cl27090_280,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl23079,zip_derived_cl23072]) ).
thf(zip_derived_cl29440,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26734,zip_derived_cl27090]) ).
thf(zip_derived_cl195_281,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('215',plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29440,zip_derived_cl195]) ).
thf(zip_derived_cl1491_282,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489_283,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23411,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl1489]) ).
thf(zip_derived_cl193_284,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('216',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23411,zip_derived_cl193]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('217',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('218',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl255,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('219',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('220',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl285,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('221',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('222',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl1470,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_285,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23175,plain,
( ( e11 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1470,zip_derived_cl423]) ).
thf(zip_derived_cl194_286,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('223',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23175,zip_derived_cl194]) ).
thf(zip_derived_cl1468,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl423_287,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23163,plain,
( ( e11 = e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1468,zip_derived_cl423]) ).
thf(zip_derived_cl197_288,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('224',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23163,zip_derived_cl197]) ).
thf('225',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl302,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('226',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl302]) ).
thf(zip_derived_cl315,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('227',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl315]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('228',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('229',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl271,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('230',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
thf(zip_derived_cl316,plain,
( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('231',plain,
( zip_tseitin_8
| zip_tseitin_12
| zip_tseitin_0
| zip_tseitin_2
| zip_tseitin_11
| zip_tseitin_5
| zip_tseitin_14
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_9
| zip_tseitin_10
| zip_tseitin_6
| zip_tseitin_7
| zip_tseitin_13
| zip_tseitin_3
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('232',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf('233',plain,
( ( op1 @ e10 @ e12 )
= e13 ),
inference('sat_resolution*',[status(thm)],['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','40','43','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','232']) ).
thf(zip_derived_cl31924,plain,
( ( op1 @ e10 @ e12 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1523,'233']) ).
thf(zip_derived_cl17662,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23157_289,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl27230_290,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl42635,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17662,zip_derived_cl23157,zip_derived_cl27230]) ).
thf(zip_derived_cl47986,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31924,zip_derived_cl42635]) ).
thf(zip_derived_cl443_291,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl48011,plain,
( ( e23
!= ( op2 @ e20 @ e22 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47986,zip_derived_cl443]) ).
thf(zip_derived_cl48015,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl48011]) ).
thf('234',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48015]) ).
thf(zip_derived_cl60,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1710,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1518_292,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('235',plain,
( ( op1 @ e10 @ e13 )
= e12 ),
inference('sat_resolution*',[status(thm)],['56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','229','230','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','103','104','105','106','107','108','109','110','111','112','114','115','116','117','119','132','133','134','135','136','137','138','140','141','143','144','145','147','148','149','151','152','153','154','217','218','219','220','221','222','225','226','227','228','157','158','159','160','161','162','163','173','174','175','176','177','178','179','180','181','182','185','215','187','189','190','191','192','193','194','195','196','197','216','198','200','232','201','202','203','204','205','206','207','208','209','210','211','212','213','231','139','166','164','165','92','93','94','188','120','121','113','156','122','123','124','125','184','223','126','127','128','129','131','95','96','118','97','186','155','130','98','199','99','183','167','40','168','42','43','41','169','224','170','171','172','142','146','100','150']) ).
thf(zip_derived_cl31923,plain,
( ( op1 @ e10 @ e13 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1518,'235']) ).
thf(zip_derived_cl17663,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23157_293,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl443_294,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42636,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17663,zip_derived_cl23157,zip_derived_cl443]) ).
thf(zip_derived_cl47941,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31923,zip_derived_cl42636]) ).
thf(zip_derived_cl27230_295,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl47942,plain,
( ( e22
!= ( op2 @ e20 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47941,zip_derived_cl27230]) ).
thf(zip_derived_cl47944,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl47942]) ).
thf('236',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47944]) ).
thf(zip_derived_cl1695,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1503_296,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('237',plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference('sat_resolution*',[status(thm)],['56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','229','230','74','75','76','77','78','79','80','81','82','83','84','85','86','87','89','90','91','103','104','105','106','107','108','109','110','111','112','114','115','116','117','119','132','133','134','135','136','137','138','140','141','143','144','145','147','148','149','151','152','153','154','217','218','219','220','221','222','225','226','227','228','157','158','160','161','162','163','173','174','175','176','177','178','179','180','181','182','185','215','187','189','190','191','192','193','194','195','196','197','216','198','200','232','201','202','203','204','205','206','207','208','209','210','211','212','213','231','139','166','164','165','92','93','94','188','120','121','113','156','122','123','124','125','184','223','126','127','128','129','131','95','96','118','97','186','155','130','98','199','99','183','167','40','168','42','43','41','169','224','170','171','172','142','146','100','150','88','159']) ).
thf(zip_derived_cl31919,plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1503,'237']) ).
thf(zip_derived_cl17667,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23149_297,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl443_298,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42640,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17667,zip_derived_cl23149,zip_derived_cl443]) ).
thf(zip_derived_cl47804,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31919,zip_derived_cl42640]) ).
thf(zip_derived_cl443_299,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47808,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47804,zip_derived_cl443]) ).
thf(zip_derived_cl47811,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl47808]) ).
thf('238',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47811]) ).
thf(zip_derived_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('239',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1721,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1529_300,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl222,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('240',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl222]) ).
thf(zip_derived_cl246,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('241',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl270,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('242',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl270]) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('243',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zip_derived_cl1484_301,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2062_302,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl26686,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl2062]) ).
thf(zip_derived_cl27366_303,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl27090]) ).
thf('244',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26686,zip_derived_cl27366]) ).
thf(zip_derived_cl1499_304,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1497_305,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23510,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1497]) ).
thf(zip_derived_cl193_306,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('245',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23510,zip_derived_cl193]) ).
thf(zip_derived_cl1495_307,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1494_308,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23465,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1494]) ).
thf(zip_derived_cl192_309,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('246',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23465,zip_derived_cl192]) ).
thf(zip_derived_cl1485_310,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1484_311,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23341,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl1484]) ).
thf(zip_derived_cl197_312,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('247',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23341,zip_derived_cl197]) ).
thf(zip_derived_cl1499_313,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498_314,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23511,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1498]) ).
thf(zip_derived_cl192_315,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('248',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23511,zip_derived_cl192]) ).
thf('249',plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('sat_resolution*',[status(thm)],['240','241','242','243','244','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','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','109','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','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','164','165','166','167','168','169','170','171','172','173','174','175','176','177','40','43','178','179','180','181','182','183','184','185','186','187','190','193','195','196','197','198','199','200','232','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','110','189','191','108','192','245','194','246','188','146','247','248','69','163']) ).
thf(zip_derived_cl31926,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1529,'249']) ).
thf(zip_derived_cl17660,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23157_316,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl23157_317,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl42633,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17660,zip_derived_cl23157,zip_derived_cl23157]) ).
thf(zip_derived_cl48055,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31926,zip_derived_cl42633]) ).
thf(zip_derived_cl23149_318,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl48061,plain,
( ( e21
!= ( op2 @ e20 @ e20 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48055,zip_derived_cl23149]) ).
thf(zip_derived_cl48064,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl48061]) ).
thf('250',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48064]) ).
thf(zip_derived_cl1723_319,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1721_320,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25369,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl1721]) ).
thf(zip_derived_cl199_321,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('251',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25369,zip_derived_cl199]) ).
thf(zip_derived_cl1690,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1498_322,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl26670_323,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl2060]) ).
thf(zip_derived_cl1497_324,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl26768,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26670,zip_derived_cl1497]) ).
thf(zip_derived_cl194_325,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('252',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26768,zip_derived_cl194]) ).
thf('253',plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('sat_resolution*',[status(thm)],['244','56','57','58','60','61','62','63','64','65','66','67','68','69','70','72','73','229','230','74','75','76','77','78','79','80','81','82','83','84','85','86','87','89','90','91','103','104','105','106','107','108','109','110','111','112','114','115','116','117','119','132','133','134','135','136','137','138','140','141','143','144','145','147','148','149','151','152','153','154','217','218','219','220','221','222','225','226','227','228','157','158','160','161','162','163','173','174','175','176','177','178','179','180','181','182','185','215','187','189','190','191','192','193','194','195','196','197','216','198','200','232','201','202','203','204','205','206','207','208','209','210','211','212','213','231','139','166','164','165','92','93','94','188','120','121','113','156','122','123','124','125','184','223','126','127','128','131','95','96','118','97','186','155','130','98','199','99','183','167','40','168','42','43','41','169','224','170','171','172','142','146','100','150','88','159','71','129','252','59']) ).
thf(zip_derived_cl31918,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1498,'253']) ).
thf(zip_derived_cl17668,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl27230_326,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl23157_327,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl42641,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17668,zip_derived_cl27230,zip_derived_cl23157]) ).
thf(zip_derived_cl47755,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31918,zip_derived_cl42641]) ).
thf(zip_derived_cl27230_328,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl47781,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47755,zip_derived_cl27230]) ).
thf(zip_derived_cl47786,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl47781]) ).
thf('254',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47786]) ).
thf(zip_derived_cl331,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('255',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf(zip_derived_cl1711,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1709,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25172,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1709]) ).
thf(zip_derived_cl199_329,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('256',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25172,zip_derived_cl199]) ).
thf(zip_derived_cl345,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('257',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl369,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('258',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl1681,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1489_330,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('259',plain,
( ( op1 @ e12 @ e12 )
= e11 ),
inference('sat_resolution*',[status(thm)],['244','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','109','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','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','40','43','178','179','180','181','182','183','184','185','186','187','190','193','195','196','197','198','199','200','232','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','110','189','191','108','192','245','194','246','188','146','247','248']) ).
thf(zip_derived_cl31916,plain,
( ( op1 @ e12 @ e12 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1489,'259']) ).
thf(zip_derived_cl17670,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl27230_331,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl27230_332,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl42643,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17670,zip_derived_cl27230,zip_derived_cl27230]) ).
thf(zip_derived_cl47634,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31916,zip_derived_cl42643]) ).
thf(zip_derived_cl23149_333,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl47669,plain,
( ( e21
!= ( op2 @ e22 @ e22 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47634,zip_derived_cl23149]) ).
thf(zip_derived_cl47670,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl47669]) ).
thf('260',plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47670]) ).
thf(zip_derived_cl1698_334,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1506_335,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('261',plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference('sat_resolution*',[status(thm)],['56','57','58','59','60','61','62','64','65','66','67','68','69','70','71','72','73','229','230','74','75','76','77','78','79','80','81','82','83','84','85','86','87','89','90','91','103','104','105','106','107','108','109','110','111','112','114','115','116','117','119','132','133','134','135','136','137','138','140','141','143','144','145','147','148','149','151','152','153','154','217','218','219','220','221','222','225','226','227','228','157','158','160','161','162','163','173','174','175','176','177','178','179','180','181','182','185','215','187','189','190','191','192','193','194','195','196','197','216','198','200','232','201','202','203','204','205','206','207','208','209','210','211','212','213','231','139','166','164','165','92','93','94','188','120','121','113','156','122','123','124','125','184','223','126','127','128','129','131','95','96','118','97','186','155','130','98','199','99','183','167','40','168','42','43','41','169','224','170','171','172','142','146','100','150','88','159','54','63']) ).
thf(zip_derived_cl31920,plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1506,'261']) ).
thf(zip_derived_cl17666,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23149_336,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl27230_337,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl42639,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17666,zip_derived_cl23149,zip_derived_cl27230]) ).
thf(zip_derived_cl47847,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31920,zip_derived_cl42639]) ).
thf(zip_derived_cl27230_338,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl47862,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47847,zip_derived_cl27230]) ).
thf(zip_derived_cl47864,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl47862]) ).
thf('262',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47864]) ).
thf(zip_derived_cl1704_339,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1512_340,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl40,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('263',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1490_341,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489_342,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23400,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl1489]) ).
thf(zip_derived_cl194_343,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('264',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23400,zip_derived_cl194]) ).
thf(zip_derived_cl1531_344,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1529_345,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23821,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl1529]) ).
thf(zip_derived_cl193_346,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('265',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23821,zip_derived_cl193]) ).
thf(zip_derived_cl1530_347,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1529_348,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23814,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1529]) ).
thf(zip_derived_cl194_349,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('266',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23814,zip_derived_cl194]) ).
thf(zip_derived_cl1529_350,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1528_351,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl23806,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl1528]) ).
thf(zip_derived_cl197_352,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('267',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23806,zip_derived_cl197]) ).
thf('268',plain,
( ( op1 @ e11 @ e10 )
= e10 ),
inference('sat_resolution*',[status(thm)],['240','241','242','243','244','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','70','71','72','73','75','76','77','78','79','80','81','82','83','84','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','103','104','105','111','112','113','114','116','117','118','119','120','121','122','123','124','125','126','127','128','129','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','164','165','166','167','168','169','170','171','173','174','175','176','177','40','43','178','179','180','181','182','183','184','185','186','187','190','193','195','196','197','198','200','232','42','201','202','203','204','205','207','208','209','210','211','212','213','214','215','229','230','110','189','191','245','194','188','146','247','69','108','192','109','199','107','74','231','217','218','219','220','221','222','223','224','41','225','226','227','228','115','130','248','263','106','172','85','206','216','264','265','266','267','102','163','246']) ).
thf(zip_derived_cl31922,plain,
( ( op1 @ e11 @ e10 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1512,'268']) ).
thf(zip_derived_cl17664,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23149_353,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23157_354,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl42637,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17664,zip_derived_cl23149,zip_derived_cl23157]) ).
thf(zip_derived_cl47913,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31922,zip_derived_cl42637]) ).
thf(zip_derived_cl23157_355,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl47919,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47913,zip_derived_cl23157]) ).
thf(zip_derived_cl47921,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl47919]) ).
thf('269',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47921]) ).
thf(zip_derived_cl1676_356,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1484_357,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('270',plain,
( ( op1 @ e12 @ e13 )
= e10 ),
inference('sat_resolution*',[status(thm)],['56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','229','230','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','103','104','105','106','107','108','109','110','111','112','114','115','116','117','119','132','133','134','135','136','137','138','140','141','143','144','145','147','148','149','151','152','153','154','217','218','219','220','221','222','225','226','227','228','157','158','159','160','161','162','163','173','174','175','176','177','178','179','180','181','182','185','215','187','189','190','191','192','193','194','195','196','197','216','198','200','232','201','202','203','204','205','206','207','208','209','210','211','212','213','231','139','166','164','165','92','93','94','188','120','121','113','156','122','123','124','184','150','223','126','127','128','129','131','95','96','118','97','186','155','130','98','199','99','183','167','40','168','42','43','41','169','224','170','171','172','142','146','100','125']) ).
thf(zip_derived_cl31915,plain,
( ( op1 @ e12 @ e13 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1484,'270']) ).
thf(zip_derived_cl17671,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl27230_358,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl443_359,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42644,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17671,zip_derived_cl27230,zip_derived_cl443]) ).
thf(zip_derived_cl47589,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31915,zip_derived_cl42644]) ).
thf(zip_derived_cl23157_360,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl47590,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47589,zip_derived_cl23157]) ).
thf(zip_derived_cl47591,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl47590]) ).
thf('271',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47591]) ).
thf(zip_derived_cl1716_361,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1524_362,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1526,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23072_363,plain,
( e12
= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl423]) ).
thf(zip_derived_cl27088,plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl23072]) ).
thf(zip_derived_cl27342,plain,
( ( e12 != e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl27088]) ).
thf('272',plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl27342]) ).
thf(zip_derived_cl1527_364,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1495_365,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl136_366,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23462,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl136]) ).
thf(zip_derived_cl27529,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23462]) ).
thf('273',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27529]) ).
thf('274',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf('275',plain,
( ( op1 @ e10 @ e11 )
= e10 ),
inference('sat_resolution*',[status(thm)],['272','240','241','242','243','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','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','40','43','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','232','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','108','273','274']) ).
thf(zip_derived_cl31925,plain,
( ( op1 @ e10 @ e11 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1524,'275']) ).
thf(zip_derived_cl17661,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23157_367,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl23149_368,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl42634,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17661,zip_derived_cl23157,zip_derived_cl23149]) ).
thf(zip_derived_cl48030,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31925,zip_derived_cl42634]) ).
thf(zip_derived_cl23157_369,plain,
( ( h4 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl426,zip_derived_cl23098]) ).
thf(zip_derived_cl48036,plain,
( ( e20
!= ( op2 @ e20 @ e21 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48030,zip_derived_cl23157]) ).
thf(zip_derived_cl48038,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl48036]) ).
thf('276',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48038]) ).
thf(zip_derived_cl1720_370,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25252_371,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl167]) ).
thf(zip_derived_cl28255,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl25252]) ).
thf('277',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28255]) ).
thf(zip_derived_cl1701_372,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1509_373,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf('278',plain,
( ( op1 @ e11 @ e11 )
= e11 ),
inference('sat_resolution*',[status(thm)],['240','241','242','243','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','109','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','40','43','178','179','180','181','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','232','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','108','110','182']) ).
thf(zip_derived_cl31921,plain,
( ( op1 @ e11 @ e11 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1509,'278']) ).
thf(zip_derived_cl17665,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl23149_374,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl23149_375,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl42638,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17665,zip_derived_cl23149,zip_derived_cl23149]) ).
thf(zip_derived_cl47883,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31921,zip_derived_cl42638]) ).
thf(zip_derived_cl23149_376,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl47895,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47883,zip_derived_cl23149]) ).
thf(zip_derived_cl47897,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl47895]) ).
thf('279',plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47897]) ).
thf(zip_derived_cl1705_377,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1701_378,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25015,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl161]) ).
thf(zip_derived_cl28131,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl25015]) ).
thf('280',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28131]) ).
thf(zip_derived_cl1701_379,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1697,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24963,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl158]) ).
thf(zip_derived_cl28078,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl24963]) ).
thf('281',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28078]) ).
thf(zip_derived_cl329,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('282',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf(zip_derived_cl1688_380,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl421,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2298,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27240,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1688,zip_derived_cl2298]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27229_381,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl27508,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl27229]) ).
thf('283',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27240,zip_derived_cl27508]) ).
thf(zip_derived_cl1706_382,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2297,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27215,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1706,zip_derived_cl2297]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23093_383,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27225,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23093]) ).
thf('284',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27215,zip_derived_cl27225]) ).
thf(zip_derived_cl1687,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2294,plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
<= ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27173,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl2294]) ).
thf(zip_derived_cl27229_384,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl31449,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27173,zip_derived_cl27229]) ).
thf(zip_derived_cl201_385,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('285',plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
!= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31449,zip_derived_cl201]) ).
thf(zip_derived_cl1717,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2292_386,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27148,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl2292]) ).
thf(zip_derived_cl1697_387,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24964,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl160]) ).
thf(zip_derived_cl31249,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27148,zip_derived_cl24964]) ).
thf('286',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31249]) ).
thf('287',plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl23093_388,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl2295,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27233,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23093,zip_derived_cl2295]) ).
thf(zip_derived_cl1676_389,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl31841,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27233,zip_derived_cl1676]) ).
thf(zip_derived_cl202_390,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('288',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31841,zip_derived_cl202]) ).
thf(zip_derived_cl1700_391,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2293_392,plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
<= ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27156,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1700,zip_derived_cl2293]) ).
thf(zip_derived_cl1700_393,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25002,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1700,zip_derived_cl185]) ).
thf('289',plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27156,zip_derived_cl25002]) ).
thf(zip_derived_cl1700_394,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1692_395,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24915,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1692,zip_derived_cl157]) ).
thf(zip_derived_cl28024,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1700,zip_derived_cl24915]) ).
thf('290',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28024]) ).
thf(zip_derived_cl1687_396,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1495_397,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('291',plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference('sat_resolution*',[status(thm)],['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','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','40','43','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','232','42','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','41','225','226','227','228','229','230','231','108']) ).
thf(zip_derived_cl31917,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1495,'291']) ).
thf(zip_derived_cl17669,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl27230_398,plain,
( ( h4 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl23144,zip_derived_cl23093]) ).
thf(zip_derived_cl23149_399,plain,
( ( h4 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl426]) ).
thf(zip_derived_cl42642,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17669,zip_derived_cl27230,zip_derived_cl23149]) ).
thf(zip_derived_cl47710,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31917,zip_derived_cl42642]) ).
thf(zip_derived_cl443_400,plain,
( ( h4 @ e13 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47725,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47710,zip_derived_cl443]) ).
thf(zip_derived_cl47727,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl47725]) ).
thf('292',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47727]) ).
thf(zip_derived_cl1719_401,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1687_402,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24875,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl184]) ).
thf(zip_derived_cl27971,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl24875]) ).
thf('293',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27971]) ).
thf(zip_derived_cl1691_403,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1687_404,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155_405,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24873,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl155]) ).
thf(zip_derived_cl27963,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl24873]) ).
thf('294',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27963]) ).
thf(zip_derived_cl1687_406,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1683,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24827,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl152]) ).
thf(zip_derived_cl27904,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl24827]) ).
thf('295',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27904]) ).
thf(zip_derived_cl1687_407,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1679,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24768,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl151]) ).
thf(zip_derived_cl27832,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl24768]) ).
thf('296',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27832]) ).
thf(zip_derived_cl1687_408,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1685_409,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24877,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1685]) ).
thf(zip_derived_cl199_410,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('297',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24877,zip_derived_cl199]) ).
thf(zip_derived_cl393,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('298',plain,
( ~ zip_tseitin_28
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf('299',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1685_411,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1681_412,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152_413,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24797,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl152]) ).
thf(zip_derived_cl27861,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl24797]) ).
thf('300',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27861]) ).
thf(zip_derived_cl1695_414,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694_415,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24945,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1694]) ).
thf(zip_derived_cl198_416,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('301',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24945,zip_derived_cl198]) ).
thf('302',plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl1675_417,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2299,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27248,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl2299]) ).
thf(zip_derived_cl426_418,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27249,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27248,zip_derived_cl426]) ).
thf(zip_derived_cl199_419,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('303',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= ( op2 @ e23 @ e20 ) )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27249,zip_derived_cl199]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('304',plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('305',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1675_420,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1674,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24733,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1674]) ).
thf(zip_derived_cl198_421,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('306',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24733,zip_derived_cl198]) ).
thf(zip_derived_cl1674_422,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1672,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24723,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1674,zip_derived_cl1672]) ).
thf(zip_derived_cl202_423,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('307',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24723,zip_derived_cl202]) ).
thf(zip_derived_cl1704_424,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2297_425,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27213,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl2297]) ).
thf(zip_derived_cl1708,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25121,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl163]) ).
thf(zip_derived_cl31556,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27213,zip_derived_cl25121]) ).
thf('308',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31556]) ).
thf(zip_derived_cl1706_426,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1704_427,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25084,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1706,zip_derived_cl1704]) ).
thf(zip_derived_cl202_428,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('309',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25084,zip_derived_cl202]) ).
thf(zip_derived_cl1721_429,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl2296,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27201,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl2296]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl31451,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27201,zip_derived_cl191]) ).
thf(zip_derived_cl1721_430,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl31477,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31451,zip_derived_cl1721]) ).
thf('310',plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31477]) ).
thf(zip_derived_cl1722_431,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1721_432,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25350,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1722,zip_derived_cl1721]) ).
thf(zip_derived_cl200_433,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('311',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25350,zip_derived_cl200]) ).
thf(zip_derived_cl347,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('312',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl395,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('313',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl371,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('314',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl1715_434,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1711_435,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25168,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl162]) ).
thf(zip_derived_cl28211,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl25168]) ).
thf('315',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28211]) ).
thf(zip_derived_cl1708_436,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1692_437,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24917,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1692,zip_derived_cl173]) ).
thf(zip_derived_cl28033,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl24917]) ).
thf('316',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28033]) ).
thf(zip_derived_cl85,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('317',plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('318',plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1703_438,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1701_439,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25049,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl1701]) ).
thf(zip_derived_cl199_440,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('319',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25049,zip_derived_cl199]) ).
thf(zip_derived_cl1696,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27229_441,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl27507,plain,
( ( op2 @ e21 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl27229]) ).
thf(zip_derived_cl27634,plain,
( ( e20 != e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1696,zip_derived_cl27507]) ).
thf('320',plain,
( ( op2 @ e21 @ e22 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27634]) ).
thf(zip_derived_cl1703_442,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1699,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158_443,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24987,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1699,zip_derived_cl158]) ).
thf(zip_derived_cl28109,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl24987]) ).
thf('321',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28109]) ).
thf(zip_derived_cl362,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('322',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl362]) ).
thf(zip_derived_cl1713_444,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1681_445,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24800,plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl178]) ).
thf(zip_derived_cl27879,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl24800]) ).
thf('323',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27879]) ).
thf(zip_derived_cl1715_446,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1714,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25238,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1714]) ).
thf(zip_derived_cl198_447,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('324',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25238,zip_derived_cl198]) ).
thf(zip_derived_cl1714_448,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25220,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl1712]) ).
thf(zip_derived_cl202_449,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('325',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25220,zip_derived_cl202]) ).
thf(zip_derived_cl72,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('326',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('327',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl1667_450,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666_451,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24634,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl1666]) ).
thf(zip_derived_cl198_452,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('328',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24634,zip_derived_cl198]) ).
thf(zip_derived_cl1666_453,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1664,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24617,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1666,zip_derived_cl1664]) ).
thf(zip_derived_cl202_454,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('329',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24617,zip_derived_cl202]) ).
thf(zip_derived_cl1715_455,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712_456,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25236,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1715,zip_derived_cl1712]) ).
thf(zip_derived_cl201_457,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('330',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25236,zip_derived_cl201]) ).
thf(zip_derived_cl1699_458,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1697_459,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24991,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1699,zip_derived_cl1697]) ).
thf(zip_derived_cl199_460,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('331',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24991,zip_derived_cl199]) ).
thf(zip_derived_cl1698_461,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1697_462,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24980,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1698,zip_derived_cl1697]) ).
thf(zip_derived_cl200_463,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('332',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24980,zip_derived_cl200]) ).
thf(zip_derived_cl1697_464,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1696_465,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24966,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl1696]) ).
thf(zip_derived_cl203_466,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('333',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24966,zip_derived_cl203]) ).
thf(zip_derived_cl1667_467,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1664_468,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24632,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl1664]) ).
thf(zip_derived_cl201_469,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('334',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24632,zip_derived_cl201]) ).
thf(zip_derived_cl1678,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677_470,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24762,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl1677]) ).
thf(zip_derived_cl200_471,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('335',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24762,zip_derived_cl200]) ).
thf(zip_derived_cl73,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('336',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1691_472,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1690_473,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24909,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1690]) ).
thf(zip_derived_cl198_474,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('337',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24909,zip_derived_cl198]) ).
thf(zip_derived_cl1691_475,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1689_476,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24908,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1691,zip_derived_cl1689]) ).
thf(zip_derived_cl199_477,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('338',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24908,zip_derived_cl199]) ).
thf(zip_derived_cl1695_478,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl418,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2285,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl27035,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl2285]) ).
thf(zip_derived_cl23093_479,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl30978,plain,
( ( e22 = e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27035,zip_derived_cl23093]) ).
thf(zip_derived_cl198_480,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('339',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= ( op2 @ e21 @ e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30978,zip_derived_cl198]) ).
thf('340',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1719_481,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1711_482,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl163_483,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25169,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl163]) ).
thf(zip_derived_cl28215,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl25169]) ).
thf('341',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28215]) ).
thf('342',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1718,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl183,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23093_484,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl27227,plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl23093]) ).
thf(zip_derived_cl27496,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl27227]) ).
thf('343',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27496]) ).
thf(zip_derived_cl419,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('344',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl1714_485,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2288,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27072,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl2288]) ).
thf(zip_derived_cl1689_486,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl31084,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27072,zip_derived_cl1689]) ).
thf(zip_derived_cl200_487,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('345',plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31084,zip_derived_cl200]) ).
thf(zip_derived_cl1697_488,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2289,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27081,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1697,zip_derived_cl2289]) ).
thf(zip_derived_cl24963_489,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl158]) ).
thf('346',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27081,zip_derived_cl24963]) ).
thf(zip_derived_cl1703_490,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1695_491,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157_492,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24940,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl157]) ).
thf(zip_derived_cl28066,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl24940]) ).
thf('347',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28066]) ).
thf('348',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl76,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('349',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl1665,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_493,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23087,plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl426]) ).
thf(zip_derived_cl27143,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl23087]) ).
thf('350',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27143]) ).
thf(zip_derived_cl1717_494,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1713_495,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25202,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl164]) ).
thf(zip_derived_cl28223,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl25202]) ).
thf('351',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28223]) ).
thf(zip_derived_cl27229_496,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl2291,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) )
<= ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27512,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27229,zip_derived_cl2291]) ).
thf(zip_derived_cl1711_497,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl32025,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27512,zip_derived_cl1711]) ).
thf(zip_derived_cl201_498,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('352',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl32025,zip_derived_cl201]) ).
thf(zip_derived_cl1678_499,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2286,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl27043,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl2286]) ).
thf(zip_derived_cl1678_500,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24756,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl150]) ).
thf('353',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27043,zip_derived_cl24756]) ).
thf(zip_derived_cl1683_501,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2290,plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) )
<= ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl27103,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl2290]) ).
thf(zip_derived_cl27229_502,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl31233,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27103,zip_derived_cl27229]) ).
thf(zip_derived_cl201_503,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('354',plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31233,zip_derived_cl201]) ).
thf(zip_derived_cl1715_504,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1683_505,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178_506,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24830,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl178]) ).
thf(zip_derived_cl27918,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl24830]) ).
thf('355',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27918]) ).
thf(zip_derived_cl1686,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl27225_507,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23093]) ).
thf(zip_derived_cl27471,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1686,zip_derived_cl27225]) ).
thf('356',plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl27471]) ).
thf(zip_derived_cl410,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('357',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl410]) ).
thf(zip_derived_cl338,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('358',plain,
( ~ zip_tseitin_18
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl338]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('359',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1712_508,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27508_509,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl27229]) ).
thf(zip_derived_cl27640,plain,
( ( e20 != e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl27508]) ).
thf('360',plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27640]) ).
thf(zip_derived_cl344,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('361',plain,
( ~ zip_tseitin_19
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf('362',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl2287,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl426_510,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl426_511,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27050,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2287,zip_derived_cl426,zip_derived_cl426]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_512,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23091,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl426]) ).
thf(zip_derived_cl27198,plain,
( ( e21 != e21 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27050,zip_derived_cl23091]) ).
thf('363',plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27198]) ).
thf(zip_derived_cl1708_513,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2284,plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl27024,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1708,zip_derived_cl2284]) ).
thf(zip_derived_cl1708_514,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25122,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl165]) ).
thf('364',plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27024,zip_derived_cl25122]) ).
thf(zip_derived_cl1694_515,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2285_516,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl27034,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1694,zip_derived_cl2285]) ).
thf(zip_derived_cl27225_517,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl23093]) ).
thf('365',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= ( op2 @ e21 @ e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27034,zip_derived_cl27225]) ).
thf(zip_derived_cl1679_518,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2286_519,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl27044,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl2286]) ).
thf(zip_derived_cl27229_520,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl30982,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27044,zip_derived_cl27229]) ).
thf(zip_derived_cl201_521,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('366',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30982,zip_derived_cl201]) ).
thf(zip_derived_cl392,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('367',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl392]) ).
thf(zip_derived_cl374,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('368',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl374]) ).
thf(zip_derived_cl1682_522,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681_523,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24816,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl1681]) ).
thf(zip_derived_cl200_524,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('369',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24816,zip_derived_cl200]) ).
thf(zip_derived_cl1682_525,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1680,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24815,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl1680]) ).
thf(zip_derived_cl202_526,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('370',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24815,zip_derived_cl202]) ).
thf(zip_derived_cl358,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('371',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl1716_527,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1684,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184_528,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24847,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl184]) ).
thf(zip_derived_cl27938,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl24847]) ).
thf('372',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27938]) ).
thf(zip_derived_cl1688_529,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1684_530,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155_531,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24845,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl155]) ).
thf(zip_derived_cl27920,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl24845]) ).
thf('373',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27920]) ).
thf(zip_derived_cl1684_532,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1676_533,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151_534,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24741,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl151]) ).
thf(zip_derived_cl27791,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl24741]) ).
thf('374',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27791]) ).
thf(zip_derived_cl1687_535,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_536,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24876,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1684]) ).
thf(zip_derived_cl201_537,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('375',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24876,zip_derived_cl201]) ).
thf(zip_derived_cl1690_538,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2298_539,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl27242,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl2298]) ).
thf(zip_derived_cl1681_540,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl31747,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27242,zip_derived_cl1681]) ).
thf(zip_derived_cl200_541,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('376',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31747,zip_derived_cl200]) ).
thf(zip_derived_cl1680_542,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27229_543,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl23098,zip_derived_cl23093]) ).
thf(zip_derived_cl27506,plain,
( ( op2 @ e22 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl27229]) ).
thf(zip_derived_cl27624,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl27506]) ).
thf('377',plain,
( ( op2 @ e22 @ e22 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27624]) ).
thf(zip_derived_cl1677_544,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_545,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23090,plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl426]) ).
thf(zip_derived_cl27181,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl23090]) ).
thf('378',plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27181]) ).
thf(zip_derived_cl1689_546,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688_547,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24893,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1689,zip_derived_cl1688]) ).
thf(zip_derived_cl203_548,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('379',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24893,zip_derived_cl203]) ).
thf(zip_derived_cl75,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('380',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl1679_549,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677_550,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24773,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1677]) ).
thf(zip_derived_cl199_551,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('381',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24773,zip_derived_cl199]) ).
thf(zip_derived_cl77,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('382',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1690_552,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1689_553,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24901,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl1689]) ).
thf(zip_derived_cl200_554,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('383',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24901,zip_derived_cl200]) ).
thf(zip_derived_cl1690_555,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1688_556,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24900,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl1688]) ).
thf(zip_derived_cl202_557,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('384',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24900,zip_derived_cl202]) ).
thf(zip_derived_cl1685_558,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_559,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24855,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl1684]) ).
thf(zip_derived_cl203_560,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('385',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24855,zip_derived_cl203]) ).
thf(zip_derived_cl1683_561,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1682_562,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24834,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1682]) ).
thf(zip_derived_cl198_563,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('386',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24834,zip_derived_cl198]) ).
thf(zip_derived_cl1683_564,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681_565,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24833,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1681]) ).
thf(zip_derived_cl199_566,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('387',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24833,zip_derived_cl199]) ).
thf(zip_derived_cl1683_567,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1680_568,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24832,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1680]) ).
thf(zip_derived_cl201_569,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('388',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24832,zip_derived_cl201]) ).
thf(zip_derived_cl79,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('389',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl27233_570,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23093,zip_derived_cl2295]) ).
thf(zip_derived_cl1679_571,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl31842,plain,
( ( e22 = e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27233,zip_derived_cl1679]) ).
thf(zip_derived_cl198_572,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('390',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31842,zip_derived_cl198]) ).
thf(zip_derived_cl27201_573,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl2296]) ).
thf(zip_derived_cl1685_574,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2294_575,plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
<= ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27171,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl2294]) ).
thf(zip_derived_cl160_576,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl31391,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27171,zip_derived_cl160]) ).
thf(zip_derived_cl31476,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27201,zip_derived_cl31391]) ).
thf('391',plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
!= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31476]) ).
thf(zip_derived_cl1710_577,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1678_578,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24760,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl172]) ).
thf(zip_derived_cl27823,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl24760]) ).
thf('392',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27823]) ).
thf(zip_derived_cl1690_579,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1678_580,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24758,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl153]) ).
thf(zip_derived_cl27814,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl24758]) ).
thf('393',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27814]) ).
thf(zip_derived_cl1682_581,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24756_582,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl150]) ).
thf(zip_derived_cl27809,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1682,zip_derived_cl24756]) ).
thf('394',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27809]) ).
thf(zip_derived_cl74,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('395',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('396',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1688_583,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1676_584,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153_585,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24742,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl153]) ).
thf(zip_derived_cl27795,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl24742]) ).
thf('397',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27795]) ).
thf(zip_derived_cl1675_586,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1672_587,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24731,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1672]) ).
thf(zip_derived_cl201_588,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('398',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24731,zip_derived_cl201]) ).
thf(zip_derived_cl396,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('399',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zip_derived_cl398,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('400',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl398]) ).
thf(zip_derived_cl1709_589,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_590,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23092,plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl426]) ).
thf(zip_derived_cl27209,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1709,zip_derived_cl23092]) ).
thf('401',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27209]) ).
thf(zip_derived_cl1721_591,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1720_592,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25333,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1720]) ).
thf(zip_derived_cl203_593,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('402',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25333,zip_derived_cl203]) ).
thf(zip_derived_cl1714_594,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1713_595,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25221,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl1713]) ).
thf(zip_derived_cl200_596,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('403',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25221,zip_derived_cl200]) ).
thf(zip_derived_cl91,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('404',plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1718_597,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716_598,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25285,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1718,zip_derived_cl1716]) ).
thf(zip_derived_cl202_599,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('405',plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25285,zip_derived_cl202]) ).
thf(zip_derived_cl327,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('406',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl332,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('407',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl417,plain,
( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28
| zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24
| zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20
| zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('408',plain,
( zip_tseitin_17
| zip_tseitin_28
| zip_tseitin_16
| zip_tseitin_23
| zip_tseitin_25
| zip_tseitin_21
| zip_tseitin_19
| zip_tseitin_22
| zip_tseitin_30
| zip_tseitin_24
| zip_tseitin_26
| zip_tseitin_20
| zip_tseitin_18
| zip_tseitin_29
| zip_tseitin_27
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zip_derived_cl326,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('409',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl326]) ).
thf(zip_derived_cl324,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('410',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl1711_600,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_601,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25171,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1708]) ).
thf(zip_derived_cl201_602,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('411',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25171,zip_derived_cl201]) ).
thf(zip_derived_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('412',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl1679_603,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1678_604,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24774,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1678]) ).
thf(zip_derived_cl198_605,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('413',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24774,zip_derived_cl198]) ).
thf(zip_derived_cl1679_606,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1676_607,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24772,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl1676]) ).
thf(zip_derived_cl201_608,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('414',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24772,zip_derived_cl201]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('415',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl70,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('416',plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl1710_609,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_610,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25151,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1710,zip_derived_cl1708]) ).
thf(zip_derived_cl202_611,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('417',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25151,zip_derived_cl202]) ).
thf(zip_derived_cl1695_612,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1693,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24944,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1693]) ).
thf(zip_derived_cl199_613,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('418',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24944,zip_derived_cl199]) ).
thf(zip_derived_cl1694_614,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1693_615,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24935,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1694,zip_derived_cl1693]) ).
thf(zip_derived_cl200_616,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('419',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24935,zip_derived_cl200]) ).
thf(zip_derived_cl1693_617,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692_618,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24926,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl1692]) ).
thf(zip_derived_cl203_619,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('420',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24926,zip_derived_cl203]) ).
thf(zip_derived_cl1678_620,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1676_621,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24761,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl1676]) ).
thf(zip_derived_cl202_622,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('421',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24761,zip_derived_cl202]) ).
thf(zip_derived_cl368,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('422',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl356,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('423',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl356]) ).
thf(zip_derived_cl353,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('424',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zip_derived_cl386,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('425',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl382,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('426',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
thf(zip_derived_cl1660,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_623,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24552,plain,
( ( e21 = e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1660,zip_derived_cl426]) ).
thf(zip_derived_cl203_624,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('427',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24552,zip_derived_cl203]) ).
thf(zip_derived_cl1662,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl426_625,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24565,plain,
( ( e21 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1662,zip_derived_cl426]) ).
thf(zip_derived_cl200_626,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('428',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24565,zip_derived_cl200]) ).
thf('429',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl403,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('430',plain,
( ~ zip_tseitin_29
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl403]) ).
thf(zip_derived_cl416,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('431',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl416]) ).
thf(zip_derived_cl411,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('432',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl411]) ).
thf(zip_derived_cl1722_627,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1720_628,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl25349,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1722,zip_derived_cl1720]) ).
thf(zip_derived_cl202_629,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('433',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25349,zip_derived_cl202]) ).
thf(zip_derived_cl372,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('434',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_24 ),
inference(split,[status(esa)],[zip_derived_cl372]) ).
thf(zip_derived_cl1705_630,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1704_631,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25069,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl1704]) ).
thf(zip_derived_cl203_632,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('435',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25069,zip_derived_cl203]) ).
thf(zip_derived_cl348,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('436',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zip_derived_cl350,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('437',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl350]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('438',plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1711_633,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710_634,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25173,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1711,zip_derived_cl1710]) ).
thf(zip_derived_cl198_635,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('439',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25173,zip_derived_cl198]) ).
thf(zip_derived_cl80,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('440',plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('441',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1670_636,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1669,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24682,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1670,zip_derived_cl1669]) ).
thf(zip_derived_cl200_637,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('442',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24682,zip_derived_cl200]) ).
thf(zip_derived_cl1670_638,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1668_639,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24681,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1670,zip_derived_cl1668]) ).
thf(zip_derived_cl202_640,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('443',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24681,zip_derived_cl202]) ).
thf(zip_derived_cl1717_641,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716_642,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25267,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl1716]) ).
thf(zip_derived_cl203_643,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('444',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25267,zip_derived_cl203]) ).
thf(zip_derived_cl23093_644,plain,
( e22
= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl426]) ).
thf(zip_derived_cl1668_645,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl27231,plain,
( ( e22 = e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23093,zip_derived_cl1668]) ).
thf(zip_derived_cl202_646,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('445',plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27231,zip_derived_cl202]) ).
thf('446',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1719_647,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1717_648,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25303,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1719,zip_derived_cl1717]) ).
thf(zip_derived_cl199_649,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('447',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25303,zip_derived_cl199]) ).
thf(zip_derived_cl1687_650,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1686_651,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24878,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1686]) ).
thf(zip_derived_cl198_652,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('448',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24878,zip_derived_cl198]) ).
thf(zip_derived_cl1686_653,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684_654,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24866,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1686,zip_derived_cl1684]) ).
thf(zip_derived_cl202_655,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('449',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24866,zip_derived_cl202]) ).
thf(zip_derived_cl1686_656,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1685_657,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24867,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1686,zip_derived_cl1685]) ).
thf(zip_derived_cl200_658,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('450',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24867,zip_derived_cl200]) ).
thf(zip_derived_cl84,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('451',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl1669_659,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl145,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl426_660,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23088,plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl426]) ).
thf(zip_derived_cl27152,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl23088]) ).
thf('452',plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl27152]) ).
thf(zip_derived_cl377,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('453',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl377]) ).
thf(zip_derived_cl380,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('454',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl1703_661,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1700_662,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25048,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl1700]) ).
thf(zip_derived_cl201_663,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('455',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25048,zip_derived_cl201]) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('456',plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl48068,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','45','46','47','48','49','50','234','236','238','239','250','251','254','255','256','257','258','260','262','269','271','276','277','279','280','281','282','283','284','285','286','287','288','289','290','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','37','38','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','36','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','35','446','447','448','449','450','451','452','453','454','455','456']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG122+1 : TPTP v9.2.0. Released v2.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxUduzmUj4 true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:04:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.50/0.61 % Total configuration time : 435
% 0.50/0.61 % Estimated wc time : 1092
% 0.50/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 55.00/8.44 % Solved by fo/fo1_av.sh.
% 55.00/8.44 % done 25035 iterations in 7.520s
% 55.00/8.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 55.00/8.44 % SZS output start Refutation
% See solution above
% 55.00/8.47
% 55.00/8.47
% 55.00/8.47 % Terminating...
% 55.00/8.47 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 55.36/8.61 % Runner terminated.
% 55.36/8.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------