TSTP Solution File: ALG108+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z4AXCv8ybj true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:51 EDT 2023
% Result : Theorem 51.16s 7.95s
% Output : Refutation 51.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 126
% Syntax : Number of formulae : 2082 ( 402 unt; 78 typ; 0 def)
% Number of atoms : 5755 (5492 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 19861 (1892 ~;1569 |;1123 &;14218 @)
% ( 0 <=>; 32 =>;1027 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 46 usr; 41 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e23_type,type,
e23: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(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_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_cl1514,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ ( op1 @ e13 @ e13 ) @ e13 ) )
& ( e11
= ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) ) )
& ( e10
= ( op1 @ e13 @ e13 ) ) ) ).
thf(zip_derived_cl422,plain,
( e12
= ( op1 @ ( op1 @ e13 @ e13 ) @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23078,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl424]) ).
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 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( 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 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( 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 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( 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_0,type,
zip_tseitin_15: $o ).
thf(zf_stmt_1,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_2,type,
zip_tseitin_14: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_13: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_12: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_11: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_10: $o ).
thf(zf_stmt_11,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_12,type,
zip_tseitin_9: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_8: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_7: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_6: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_5: $o ).
thf(zf_stmt_21,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_22,type,
zip_tseitin_4: $o ).
thf(zf_stmt_23,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e10 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_3: $o ).
thf(zf_stmt_25,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_2: $o ).
thf(zf_stmt_27,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_1: $o ).
thf(zf_stmt_29,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_30,type,
zip_tseitin_0: $o ).
thf(zf_stmt_31,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_32,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_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_32]) ).
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_cl27625,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23078,zip_derived_cl2060]) ).
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_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl35679,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27625,zip_derived_cl140]) ).
thf(zip_derived_cl35711,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl35679]) ).
thf('0',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35711]) ).
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_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
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_cl1520,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23821,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl1520]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('2',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23821,zip_derived_cl195]) ).
thf(zip_derived_cl1522,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1520_001,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23811,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1520]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('3',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23811,zip_derived_cl196]) ).
thf(zip_derived_cl1521,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1520_002,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23800,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1520]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('4',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23800,zip_derived_cl197]) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('5',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl236,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('6',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
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_cl1485,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23409,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl1485]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('7',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23409,zip_derived_cl194]) ).
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_cl1519,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
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_cl23781,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,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('8',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23781,zip_derived_cl193]) ).
thf(zip_derived_cl1519_003,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23780,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_004,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('9',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23780,zip_derived_cl195]) ).
thf(zip_derived_cl268,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('10',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_7]) ).
thf('11',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
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('12',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
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_cl1474,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23255,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl1474]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('13',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23255,zip_derived_cl192]) ).
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_cl1490,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1488,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23460,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl1488]) ).
thf(zip_derived_cl196_005,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('14',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23460,zip_derived_cl196]) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('15',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl271,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('16',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
thf(zip_derived_cl2,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1478,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23296,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_006,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('17',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23296,zip_derived_cl196]) ).
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_cl1493,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23521,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_007,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('18',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23521,zip_derived_cl193]) ).
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('19',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1498,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1497,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23547,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_008,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('20',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23547,zip_derived_cl194]) ).
thf(zip_derived_cl1497_009,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23537,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_010,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('21',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23537,zip_derived_cl197]) ).
thf(zip_derived_cl1477,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_011,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23281,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl1476]) ).
thf(zip_derived_cl197_012,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('22',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23281,zip_derived_cl197]) ).
thf(zip_derived_cl1495_013,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1494,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23522,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_014,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('23',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23522,zip_derived_cl192]) ).
thf(zip_derived_cl1494_015,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
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_cl23509,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_016,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('24',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23509,zip_derived_cl196]) ).
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_cl1481,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23360,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1481]) ).
thf(zip_derived_cl193_017,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('25',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23360,zip_derived_cl193]) ).
thf(zip_derived_cl1483_018,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
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_cl23359,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_019,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('26',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23359,zip_derived_cl195]) ).
thf(zip_derived_cl293,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('27',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('28',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl273,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('29',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl1489,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1488_020,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23446,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl1488]) ).
thf(zip_derived_cl197_021,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('30',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23446,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_cl23842,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_022,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('31',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23842,zip_derived_cl195]) ).
thf(zip_derived_cl1517_023,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1516_024,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23762,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1517,zip_derived_cl1516]) ).
thf(zip_derived_cl197_025,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('32',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23762,zip_derived_cl197]) ).
thf(zip_derived_cl1487,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1486_026,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23424,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_027,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('33',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23424,zip_derived_cl192]) ).
thf(zip_derived_cl1487_028,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1485_029,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23423,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_030,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('34',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23423,zip_derived_cl193]) ).
thf(zip_derived_cl232,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('35',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf(zip_derived_cl1481_031,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1480_032,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23331,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1481,zip_derived_cl1480]) ).
thf(zip_derived_cl197_033,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('36',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23331,zip_derived_cl197]) ).
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_cl23698,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_034,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('37',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23698,zip_derived_cl193]) ).
thf(zip_derived_cl228,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('38',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl276,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('39',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
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_cl1504,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23653,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1504]) ).
thf(zip_derived_cl195_035,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('40',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23653,zip_derived_cl195]) ).
thf(zip_derived_cl1491,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489_036,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23477,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_037,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('41',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23477,zip_derived_cl193]) ).
thf(zip_derived_cl1505,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1504_038,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23625,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl1504]) ).
thf(zip_derived_cl197_039,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('42',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23625,zip_derived_cl197]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('43',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
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('44',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1521_040,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl423,plain,
( e11
= ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424_041,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424_042,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23079,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl27659,plain,
( e11
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl23079]) ).
thf(zip_derived_cl27961,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl27659]) ).
thf('45',plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27961]) ).
thf(zip_derived_cl1496_043,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
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_32]) ).
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_cl27200,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_cl1504_044,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23616,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl131]) ).
thf(zip_derived_cl32348,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27200,zip_derived_cl23616]) ).
thf('46',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32348]) ).
thf(zip_derived_cl1514_045,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_cl27178,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_cl1478_046,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23293,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl132]) ).
thf(zip_derived_cl32011,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27178,zip_derived_cl23293]) ).
thf('47',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32011]) ).
thf(zip_derived_cl1514_047,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1482,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
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_cl23343,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl139]) ).
thf(zip_derived_cl26863,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23343]) ).
thf('48',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26863]) ).
thf(zip_derived_cl1514_048,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23731,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_049,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('49',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23731,zip_derived_cl196]) ).
thf(zip_derived_cl34,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('50',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
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('51',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1479,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl319,plain,
( ( ( 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 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2071,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) )
<= ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27129,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl2071]) ).
thf(zip_derived_cl424_050,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl27130,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27129,zip_derived_cl424]) ).
thf(zip_derived_cl195_051,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('52',plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27130,zip_derived_cl195]) ).
thf(zip_derived_cl1493_052,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2070,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27103,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl2070]) ).
thf(zip_derived_cl1473,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
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_cl23225,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl127]) ).
thf(zip_derived_cl31567,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27103,zip_derived_cl23225]) ).
thf('53',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
!= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31567]) ).
thf(zip_derived_cl1493_053,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1492_054,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23502,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_055,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('54',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23502,zip_derived_cl197]) ).
thf('55',plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1476_056,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
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_cl424_057,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23073,plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl424]) ).
thf(zip_derived_cl27437,plain,
( ( e10 != e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1476,zip_derived_cl23073]) ).
thf('56',plain,
( ( op1 @ e13 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27437]) ).
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('57',plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1510,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1478_058,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_cl23294,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl133]) ).
thf(zip_derived_cl26788,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl23294]) ).
thf('58',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26788]) ).
thf(zip_derived_cl1510_059,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1509_060,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23688,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_061,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('59',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23688,zip_derived_cl194]) ).
thf(zip_derived_cl1494_062,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1490_063,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23456,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl104]) ).
thf(zip_derived_cl27075,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl23456]) ).
thf('60',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27075]) ).
thf(zip_derived_cl1477_064,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1473_065,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
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_cl23222,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl26659,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1477,zip_derived_cl23222]) ).
thf('61',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26659]) ).
thf(zip_derived_cl264,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('62',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('63',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
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('64',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('65',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1523_066,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1495_067,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2070_068,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27105,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl2070]) ).
thf(zip_derived_cl129,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl31762,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27105,zip_derived_cl129]) ).
thf(zip_derived_cl31861,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl31762]) ).
thf('66',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
!= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31861]) ).
thf(zip_derived_cl1523_069,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1507_070,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131_071,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23652,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl131]) ).
thf(zip_derived_cl27393,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl23652]) ).
thf('67',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27393]) ).
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('68',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1512_072,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2073_073,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_cl27176,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl2073]) ).
thf(zip_derived_cl2068,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl31944,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27176,zip_derived_cl2068]) ).
thf(zip_derived_cl1512_074,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23708,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl143]) ).
thf('69',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31944,zip_derived_cl23708]) ).
thf(zip_derived_cl1510_075,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2069,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) )
<= ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27080,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl2069]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl31394,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27080,zip_derived_cl134]) ).
thf(zip_derived_cl1510_076,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl31419,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31394,zip_derived_cl1510]) ).
thf('70',plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= ( op1 @ e11 @ e11 ) )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31419]) ).
thf(zip_derived_cl1511_077,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1510_078,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23699,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1510]) ).
thf(zip_derived_cl192_079,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('71',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23699,zip_derived_cl192]) ).
thf(zip_derived_cl1512_080,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1504_081,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
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_cl23615,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl112]) ).
thf(zip_derived_cl27336,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl23615]) ).
thf('72',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27336]) ).
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_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_cl1680,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
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_cl956,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl12558,plain,
( ( ( h3 @ e10 )
!= e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(ax16,axiom,
( ( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) )
& ( ( h3 @ e11 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e13 )
= e22 ) ) ).
thf(zip_derived_cl438,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24224,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl12558,zip_derived_cl438]) ).
thf(zip_derived_cl24808,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ e10 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl24224]) ).
thf('73',plain,
( ( ( h3 @ e10 )
= e20 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24808]) ).
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_cl1680_082,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl436,plain,
( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24805,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl1020,plain,
( ( ( h3 @ e12 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl13839,plain,
( ( ( h3 @ e12 )
!= e23 )
<= ( ( h3 @ e12 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1020]) ).
thf(zip_derived_cl36002,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( ( h3 @ e12 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl13839]) ).
thf(zip_derived_cl36013,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ e12 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl36002]) ).
thf('74',plain,
( ( ( h3 @ e12 )
= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36013]) ).
thf(zip_derived_cl1680_083,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl437,plain,
( ( h3 @ e11 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24806,plain,
( ( ( h3 @ e11 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl437]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
& ( e21
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
& ( e20
= ( op2 @ e23 @ e23 ) ) ) ).
thf(zip_derived_cl426,plain,
( e21
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427_084,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23098,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl36024,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl964,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl12719,plain,
( ( ( h3 @ e11 )
!= e21 )
<= ( ( h3 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl964]) ).
thf(zip_derived_cl36026,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ e11 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl12719]) ).
thf('75',plain,
( ( ( h3 @ e11 )
= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36026]) ).
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_cl1665,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
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 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( 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 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( 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 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( 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_34,type,
zip_tseitin_31: $o ).
thf(zf_stmt_35,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_36,type,
zip_tseitin_30: $o ).
thf(zf_stmt_37,axiom,
( zip_tseitin_30
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_38,type,
zip_tseitin_29: $o ).
thf(zf_stmt_39,axiom,
( zip_tseitin_29
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_40,type,
zip_tseitin_28: $o ).
thf(zf_stmt_41,axiom,
( zip_tseitin_28
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_42,type,
zip_tseitin_27: $o ).
thf(zf_stmt_43,axiom,
( zip_tseitin_27
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_44,type,
zip_tseitin_26: $o ).
thf(zf_stmt_45,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_46,type,
zip_tseitin_25: $o ).
thf(zf_stmt_47,axiom,
( zip_tseitin_25
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_48,type,
zip_tseitin_24: $o ).
thf(zf_stmt_49,axiom,
( zip_tseitin_24
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_50,type,
zip_tseitin_23: $o ).
thf(zf_stmt_51,axiom,
( zip_tseitin_23
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_52,type,
zip_tseitin_22: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_22
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_54,type,
zip_tseitin_21: $o ).
thf(zf_stmt_55,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_56,type,
zip_tseitin_20: $o ).
thf(zf_stmt_57,axiom,
( zip_tseitin_20
=> ( ( ( op2 @ e20 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_19: $o ).
thf(zf_stmt_59,axiom,
( zip_tseitin_19
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_60,type,
zip_tseitin_18: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_18
=> ( ( ( op2 @ e22 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_17: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_17
=> ( ( ( op2 @ e21 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_64,type,
zip_tseitin_16: $o ).
thf(zf_stmt_65,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_66,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_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_66]) ).
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_cl27564,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1665,zip_derived_cl2291]) ).
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(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_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24760,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl170]) ).
thf(zip_derived_cl33775,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27564,zip_derived_cl24760]) ).
thf('76',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33775]) ).
thf(zip_derived_cl1680_085,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
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_cl27540,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl2290]) ).
thf(zip_derived_cl1680_086,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24804,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl178]) ).
thf('77',plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27540,zip_derived_cl24804]) ).
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_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_cl1687,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
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_cl24902,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl155]) ).
thf(zip_derived_cl28262,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl24902]) ).
thf('78',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28262]) ).
thf('79',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1690,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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_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_cl27517,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1698,zip_derived_cl2289]) ).
thf(zip_derived_cl155_087,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl33493,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27517,zip_derived_cl155]) ).
thf(zip_derived_cl33610,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl33493]) ).
thf('80',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33610]) ).
thf(zip_derived_cl1488_088,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1715_089,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl24805_090,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl12550,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl45961,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl12550]) ).
thf(zip_derived_cl51700,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl45961]) ).
thf(zip_derived_cl427_091,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl51708,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= e20 )
<= ( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51700,zip_derived_cl427]) ).
thf(zip_derived_cl51722,plain,
( ( ( h3 @ e10 )
!= e20 )
<= ( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl51708]) ).
thf(zip_derived_cl438_092,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1680_093,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl51726,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51722,zip_derived_cl438,zip_derived_cl1680]) ).
thf('81',plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl51726]) ).
thf(zip_derived_cl1715_094,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1523_095,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24805_096,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl12542,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl438_097,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45826,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( op2 @ e22 @ e22 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12542,zip_derived_cl438]) ).
thf(zip_derived_cl45827,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl45826]) ).
thf(zip_derived_cl1680_098,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl45836,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45827,zip_derived_cl1680]) ).
thf(zip_derived_cl48506,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl45836]) ).
thf(zip_derived_cl439,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl48510,plain,
( ( e22
!= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48506,zip_derived_cl439]) ).
thf(zip_derived_cl48545,plain,
( ( e22
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl48510]) ).
thf(zip_derived_cl425,plain,
( e22
= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427_099,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23097,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl48549,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48545,zip_derived_cl23097]) ).
thf('82',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48549]) ).
thf(zip_derived_cl1523_100,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1491_101,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
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_cl23475,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl130]) ).
thf(zip_derived_cl27119,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl23475]) ).
thf('83',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27119]) ).
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('84',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1484,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
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_cl424_102,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23075,plain,
( ( op1 @ e12 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl424]) ).
thf(zip_derived_cl27464,plain,
( ( e10 != e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1484,zip_derived_cl23075]) ).
thf('85',plain,
( ( op1 @ e12 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27464]) ).
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('86',plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl59,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1704,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_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_66]) ).
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_cl27702,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_cl27176_103,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl2073]) ).
thf(zip_derived_cl36024_104,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl12541,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl438_105,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45809,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( op2 @ e22 @ e22 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12541,zip_derived_cl438]) ).
thf(zip_derived_cl45813,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( op2 @ e22 @ e22 ) @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl45809]) ).
thf(zip_derived_cl1680_106,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl45821,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45813,zip_derived_cl1680]) ).
thf(zip_derived_cl48182,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27176,zip_derived_cl45821]) ).
thf(zip_derived_cl438_107,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1680_108,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl48186,plain,
( ( e20
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48182,zip_derived_cl438,zip_derived_cl1680]) ).
thf(zip_derived_cl48211,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27702,zip_derived_cl48186]) ).
thf('87',plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= ( op2 @ e21 @ e20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48211]) ).
thf(zip_derived_cl1687_109,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
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_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24682,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1671,zip_derived_cl180]) ).
thf(zip_derived_cl27992,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl24682]) ).
thf('88',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27992]) ).
thf(zip_derived_cl1715_110,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1667,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24631,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl177]) ).
thf(zip_derived_cl27919,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl24631]) ).
thf('89',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27919]) ).
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_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('90',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl27176_111,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl2073]) ).
thf(zip_derived_cl1492_112,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_cl23489,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl136]) ).
thf(zip_derived_cl31946,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27176,zip_derived_cl23489]) ).
thf('91',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31946]) ).
thf(zip_derived_cl27176_113,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1512,zip_derived_cl2073]) ).
thf(zip_derived_cl1527_114,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl31943,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27176,zip_derived_cl1527]) ).
thf(zip_derived_cl195_115,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('92',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31943,zip_derived_cl195]) ).
thf('93',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) )
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl23079_116,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
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_cl27667,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= ( op1 @ e10 @ e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23079,zip_derived_cl2072]) ).
thf(zip_derived_cl143_117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23079_118,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl27663,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl23079]) ).
thf('94',plain,
( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= ( op1 @ e10 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27667,zip_derived_cl27663]) ).
thf(zip_derived_cl1483_119,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_cl27227,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_cl424_120,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl27228,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= ( op1 @ e13 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27227,zip_derived_cl424]) ).
thf(zip_derived_cl195_121,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('95',plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
!= ( op1 @ e13 @ e10 ) )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27228,zip_derived_cl195]) ).
thf(zip_derived_cl1677_122,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1715_123,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl24805_124,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl1473_125,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl12554,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl439_126,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl46013,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e22 @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12554,zip_derived_cl439]) ).
thf(zip_derived_cl46014,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e22 @ ( h3 @ e12 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl46013]) ).
thf(zip_derived_cl47753,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e22 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl46014]) ).
thf(zip_derived_cl36024_127,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl47758,plain,
( ( e21
!= ( op2 @ e22 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47753,zip_derived_cl36024]) ).
thf(zip_derived_cl47764,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl47758]) ).
thf(zip_derived_cl47775,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl47764]) ).
thf('96',plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47775]) ).
thf(zip_derived_cl1665_128,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1715_129,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl24805_130,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl1485_131,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl12551,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl439_132,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45975,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ e22 ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12551,zip_derived_cl439]) ).
thf(zip_derived_cl45976,plain,
( ( ( h3 @ e11 )
!= ( op2 @ ( h3 @ e12 ) @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1485,zip_derived_cl45975]) ).
thf(zip_derived_cl47513,plain,
( ( ( h3 @ e11 )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl45976]) ).
thf(zip_derived_cl36024_133,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl47518,plain,
( ( e21
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47513,zip_derived_cl36024]) ).
thf(zip_derived_cl47572,plain,
( ( e21
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl47518]) ).
thf(zip_derived_cl47582,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl47572]) ).
thf('97',plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47582]) ).
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_cl1701,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1509_134,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl36024_135,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl12545,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl45879,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl12545]) ).
thf(zip_derived_cl48263,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl45879]) ).
thf(zip_derived_cl36024_136,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl48266,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48263,zip_derived_cl36024]) ).
thf(zip_derived_cl48270,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl48266]) ).
thf('98',plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48270]) ).
thf(zip_derived_cl1687_137,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1685,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24906,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1687,zip_derived_cl1685]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('99',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24906,zip_derived_cl199]) ).
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('100',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl1509_138,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1477_139,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133_140,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23279,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1477,zip_derived_cl133]) ).
thf(zip_derived_cl26765,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl23279]) ).
thf('101',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26765]) ).
thf(zip_derived_cl1698_141,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl36024_142,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
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_cl12547,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl439_143,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45907,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ e22 ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12547,zip_derived_cl439]) ).
thf(zip_derived_cl45909,plain,
( ( ( h3 @ e13 )
!= ( op2 @ ( h3 @ e11 ) @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl45907]) ).
thf(zip_derived_cl439_144,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45912,plain,
( ( e22
!= ( op2 @ ( h3 @ e11 ) @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45909,zip_derived_cl439]) ).
thf(zip_derived_cl46725,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl45912]) ).
thf(zip_derived_cl46732,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl46725]) ).
thf('102',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46732]) ).
thf(zip_derived_cl23097_145,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
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_66]) ).
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_cl27761,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
thf(zip_derived_cl1682,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl154,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24834,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1682,zip_derived_cl154]) ).
thf(zip_derived_cl35836,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27761,zip_derived_cl24834]) ).
thf('103',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35836]) ).
thf(zip_derived_cl1483_146,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1482_147,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23361,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl1482]) ).
thf(zip_derived_cl192_148,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('104',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23361,zip_derived_cl192]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('105',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl20,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('106',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('107',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl27103_149,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl2070]) ).
thf(zip_derived_cl1506,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl31563,plain,
( ( e11 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27103,zip_derived_cl1506]) ).
thf(zip_derived_cl194_150,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('108',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
!= ( op1 @ e12 @ e11 ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31563,zip_derived_cl194]) ).
thf(zip_derived_cl1478_151,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2071_152,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) )
<= ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27128,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl2071]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23078_153,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl424]) ).
thf(zip_derived_cl27619,plain,
( e12
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl23078]) ).
thf('109',plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27128,zip_derived_cl27619]) ).
thf('110',plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1498_154,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1494_155,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
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_cl23506,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl107]) ).
thf(zip_derived_cl27163,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23506]) ).
thf('111',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27163]) ).
thf(zip_derived_cl1524_156,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl2068_157,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27054,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2068]) ).
thf(zip_derived_cl23079_158,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl31204,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27054,zip_derived_cl23079]) ).
thf(zip_derived_cl197_159,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('112',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31204,zip_derived_cl197]) ).
thf(zip_derived_cl1524_160,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23489_161,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1492,zip_derived_cl136]) ).
thf(zip_derived_cl27137,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl23489]) ).
thf('113',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27137]) ).
thf('114',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1529,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1497_162,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23536,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl142]) ).
thf(zip_derived_cl27215,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23536]) ).
thf('115',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27215]) ).
thf(zip_derived_cl1499,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1487_163,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23419,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl105]) ).
thf(zip_derived_cl27010,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl23419]) ).
thf('116',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27010]) ).
thf(zip_derived_cl1511_164,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2069_165,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) )
<= ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27081,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl2069]) ).
thf(zip_derived_cl133_166,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl31454,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27081,zip_derived_cl133]) ).
thf(zip_derived_cl1511_167,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl31467,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31454,zip_derived_cl1511]) ).
thf('117',plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= ( op1 @ e11 @ e11 ) )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31467]) ).
thf(zip_derived_cl1527_168,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1511_169,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23696,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl137]) ).
thf(zip_derived_cl27462,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23696]) ).
thf('118',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27462]) ).
thf(zip_derived_cl1511_170,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1495_171,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134_172,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23518,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl134]) ).
thf(zip_derived_cl27188,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl23518]) ).
thf('119',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27188]) ).
thf(zip_derived_cl1501,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1500,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23585,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl1500]) ).
thf(zip_derived_cl197_173,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('120',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23585,zip_derived_cl197]) ).
thf('121',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= ( op1 @ e11 @ e11 ) )
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= ( op1 @ e12 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl1704_174,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1512_175,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1680_176,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl12544,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl438_177,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45859,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( op2 @ e22 @ e22 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12544,zip_derived_cl438]) ).
thf(zip_derived_cl45860,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl45859]) ).
thf(zip_derived_cl36024_178,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl45868,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45860,zip_derived_cl36024]) ).
thf(zip_derived_cl48226,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl45868]) ).
thf(zip_derived_cl438_179,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1680_180,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl48229,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48226,zip_derived_cl438,zip_derived_cl1680]) ).
thf(zip_derived_cl48232,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl48229]) ).
thf('122',plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48232]) ).
thf(zip_derived_cl1512_181,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1496_182,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140_183,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23528,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl140]) ).
thf(zip_derived_cl27195,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl23528]) ).
thf('123',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27195]) ).
thf(zip_derived_cl1515,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1512_184,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23741,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1512]) ).
thf(zip_derived_cl195_185,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('124',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23741,zip_derived_cl195]) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('125',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl1491_186,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
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_32]) ).
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_cl27006,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_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl30937,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27006,zip_derived_cl126]) ).
thf(zip_derived_cl1491_187,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl30947,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30937,zip_derived_cl1491]) ).
thf('126',plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30947]) ).
thf('127',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1505_188,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
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_cl26979,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_189,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_cl23622,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl110]) ).
thf('128',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26979,zip_derived_cl23622]) ).
thf(zip_derived_cl1505_190,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23225_191,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl127]) ).
thf(zip_derived_cl26674,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl23225]) ).
thf('129',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26674]) ).
thf(zip_derived_cl1503_192,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1487_193,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
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_cl23420,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1487,zip_derived_cl122]) ).
thf(zip_derived_cl27015,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl23420]) ).
thf('130',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27015]) ).
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('131',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
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_cl424_194,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl424_195,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26919,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2063,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl424_196,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23077,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl424]) ).
thf(zip_derived_cl27607,plain,
( ( e10 != e10 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26919,zip_derived_cl23077]) ).
thf('132',plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27607]) ).
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_cl424_197,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23206,plain,
( ( e10 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1471,zip_derived_cl424]) ).
thf(zip_derived_cl195_198,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('133',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23206,zip_derived_cl195]) ).
thf(zip_derived_cl1501_199,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
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_cl26872,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl2061]) ).
thf(zip_derived_cl1501_200,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl109,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23582,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl109]) ).
thf('134',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26872,zip_derived_cl23582]) ).
thf(zip_derived_cl1507_201,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1487_202,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
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_cl26898,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_cl127_203,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl29615,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26898,zip_derived_cl127]) ).
thf(zip_derived_cl29780,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl29615]) ).
thf('135',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29780]) ).
thf(zip_derived_cl1483_204,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1475_205,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23249,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1475,zip_derived_cl100]) ).
thf(zip_derived_cl26716,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl23249]) ).
thf('136',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26716]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('137',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('138',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('139',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('140',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('141',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl1518,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1486_206,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124_207,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23407,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1486,zip_derived_cl124]) ).
thf(zip_derived_cl26989,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl23407]) ).
thf('142',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26989]) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('143',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('144',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('145',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('146',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('147',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl303,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('148',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('149',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
thf(zip_derived_cl314,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('150',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl314]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('151',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl296,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('152',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl1515_208,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1483_209,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139_210,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23357,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl139]) ).
thf(zip_derived_cl26883,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl23357]) ).
thf('153',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26883]) ).
thf('154',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1529_211,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1513,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl143_212,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23717,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl143]) ).
thf(zip_derived_cl27496,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23717]) ).
thf('155',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27496]) ).
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_32]) ).
thf('156',plain,
( zip_tseitin_1
| zip_tseitin_12
| zip_tseitin_0
| zip_tseitin_4
| zip_tseitin_8
| zip_tseitin_5
| zip_tseitin_11
| zip_tseitin_6
| zip_tseitin_2
| zip_tseitin_9
| zip_tseitin_10
| zip_tseitin_7
| zip_tseitin_3
| zip_tseitin_13
| zip_tseitin_14
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl1507_213,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2065_214,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_cl26981,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_cl1477_215,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl30754,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26981,zip_derived_cl1477]) ).
thf(zip_derived_cl193_216,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('157',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30754,zip_derived_cl193]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('158',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1472,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
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_cl424_217,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23072,plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl424]) ).
thf(zip_derived_cl27424,plain,
( ( e10 != e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1472,zip_derived_cl23072]) ).
thf('159',plain,
( ( op1 @ e13 @ e12 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27424]) ).
thf(zip_derived_cl33,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('160',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
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('161',plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1503_218,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501_219,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23606,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_220,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('162',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23606,zip_derived_cl193]) ).
thf(zip_derived_cl1502,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1501_221,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23595,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_222,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('163',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23595,zip_derived_cl194]) ).
thf(zip_derived_cl1515_223,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1514_224,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23743,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1514]) ).
thf(zip_derived_cl192_225,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('164',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23743,zip_derived_cl192]) ).
thf(zip_derived_cl1508,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1504_226,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110_227,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23614,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl110]) ).
thf(zip_derived_cl27330,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl23614]) ).
thf('165',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27330]) ).
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('166',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1522_228,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1518_229,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23767,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl114]) ).
thf(zip_derived_cl27551,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl23767]) ).
thf('167',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27551]) ).
thf('168',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1518_230,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1502_231,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_cl23593,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl125]) ).
thf(zip_derived_cl27305,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl23593]) ).
thf('169',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27305]) ).
thf(zip_derived_cl1489_232,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2066_233,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_cl27004,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_234,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23444,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl128]) ).
thf('170',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= ( op1 @ e12 @ e12 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27004,zip_derived_cl23444]) ).
thf(zip_derived_cl1489_235,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1473_236,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126_237,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23224,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl126]) ).
thf(zip_derived_cl26669,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl23224]) ).
thf('171',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26669]) ).
thf(zip_derived_cl1490_238,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1489_239,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23461,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_240,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('172',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23461,zip_derived_cl194]) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('173',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('174',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl1474_241,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
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_cl27030,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1474,zip_derived_cl2067]) ).
thf(zip_derived_cl27619_242,plain,
( e12
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl23078]) ).
thf('175',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27030,zip_derived_cl27619]) ).
thf(zip_derived_cl272,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('176',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl1527_243,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1495_244,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl136_245,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23519,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl136]) ).
thf(zip_derived_cl27193,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23519]) ).
thf('177',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27193]) ).
thf(zip_derived_cl1520_246,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
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_cl26953,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl2064]) ).
thf(zip_derived_cl1520_247,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl118_248,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23792,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl118]) ).
thf('178',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
!= ( op1 @ e10 @ e12 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26953,zip_derived_cl23792]) ).
thf(zip_derived_cl27625_249,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23078,zip_derived_cl2060]) ).
thf(zip_derived_cl1496_250,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl35680,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27625,zip_derived_cl1496]) ).
thf(zip_derived_cl196_251,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('179',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35680,zip_derived_cl196]) ).
thf(zip_derived_cl1496_252,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1488_253,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
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_cl23434,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl106]) ).
thf(zip_derived_cl27034,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl23434]) ).
thf('180',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27034]) ).
thf(zip_derived_cl1499_254,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496_255,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23560,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_256,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('181',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23560,zip_derived_cl195]) ).
thf('182',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
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_cl1518_257,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23768,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl115]) ).
thf(zip_derived_cl27556,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl23768]) ).
thf('183',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27556]) ).
thf(zip_derived_cl1525,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
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_cl23079_258,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl27660,plain,
( e11
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl23079]) ).
thf(zip_derived_cl27976,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl27660]) ).
thf('184',plain,
( ( op1 @ e10 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl27976]) ).
thf(zip_derived_cl47,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('185',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('186',plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('187',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('188',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl1524_259,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1508_260,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137_261,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23667,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl137]) ).
thf(zip_derived_cl27404,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl23667]) ).
thf('189',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27404]) ).
thf(zip_derived_cl1512_262,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1508_263,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23666,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl113]) ).
thf(zip_derived_cl27395,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl23666]) ).
thf('190',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27395]) ).
thf(zip_derived_cl1511_264,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1508_265,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23697,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1508]) ).
thf(zip_derived_cl195_266,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('191',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23697,zip_derived_cl195]) ).
thf(zip_derived_cl1510_267,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1508_268,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23687,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl1508]) ).
thf(zip_derived_cl196_269,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('192',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23687,zip_derived_cl196]) ).
thf(zip_derived_cl1509_270,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1508_271,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23677,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_272,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('193',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23677,zip_derived_cl197]) ).
thf('194',plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= ( op1 @ e13 @ e12 ) )
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= ( op1 @ e12 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zip_derived_cl1500_273,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
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_cl424_274,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23076,plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl424]) ).
thf(zip_derived_cl27589,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1500,zip_derived_cl23076]) ).
thf('195',plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27589]) ).
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_cl1695,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1715_275,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1506_276,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24805_277,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl12546,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl45890,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24805,zip_derived_cl12546]) ).
thf(zip_derived_cl36024_278,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl45899,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45890,zip_derived_cl36024]) ).
thf(zip_derived_cl48792,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl45899]) ).
thf(zip_derived_cl24805_279,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl48798,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48792,zip_derived_cl24805]) ).
thf(zip_derived_cl48873,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl48798]) ).
thf(zip_derived_cl48879,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl48873]) ).
thf('196',plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48879]) ).
thf(zip_derived_cl1687_280,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1684,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24905,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,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('197',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24905,zip_derived_cl201]) ).
thf(zip_derived_cl1687_281,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1695_282,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
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_cl27444,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_cl180_283,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl32570,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27444,zip_derived_cl180]) ).
thf(zip_derived_cl32628,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl32570]) ).
thf('198',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32628]) ).
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_cl1717,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
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_cl23098_284,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl27801,plain,
( e21
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl23098]) ).
thf(zip_derived_cl28123,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl27801]) ).
thf('199',plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28123]) ).
thf('200',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_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_66]) ).
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_cl27594,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_cl23098_285,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl34340,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27594,zip_derived_cl23098]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('201',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34340,zip_derived_cl203]) ).
thf(zip_derived_cl1715_286,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1687_287,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_cl27639,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_cl177_288,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl34815,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27639,zip_derived_cl177]) ).
thf(zip_derived_cl34924,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl34815]) ).
thf('202',plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
!= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34924]) ).
thf(zip_derived_cl82,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('203',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1718,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23097_289,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl27752,plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl23097]) ).
thf(zip_derived_cl28046,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl27752]) ).
thf('204',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28046]) ).
thf(zip_derived_cl1687_290,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1686,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl24907,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,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('205',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24907,zip_derived_cl198]) ).
thf(zip_derived_cl1669,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
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_cl27654,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl2295]) ).
thf(zip_derived_cl24760_291,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl170]) ).
thf(zip_derived_cl34941,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27654,zip_derived_cl24760]) ).
thf('206',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34941]) ).
thf(zip_derived_cl1687_292,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_cl24788,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl151]) ).
thf(zip_derived_cl28108,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl24788]) ).
thf('207',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28108]) ).
thf('208',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1702,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl27613,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1702,zip_derived_cl2293]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl34464,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27613,zip_derived_cl182]) ).
thf(zip_derived_cl1702_293,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl34491,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34464,zip_derived_cl1702]) ).
thf('209',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= ( op2 @ e21 @ e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34491]) ).
thf(zip_derived_cl1677_294,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
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_cl27456,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl2286]) ).
thf(zip_derived_cl1665_295,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24602,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl175]) ).
thf(zip_derived_cl32657,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27456,zip_derived_cl24602]) ).
thf('210',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32657]) ).
thf(zip_derived_cl23098_296,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
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_cl1723,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27811,plain,
( ( e21 = e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23098,zip_derived_cl1723]) ).
thf(zip_derived_cl199_297,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('211',plain,
( ( op2 @ e20 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27811,zip_derived_cl199]) ).
thf(zip_derived_cl328,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('212',plain,
( ~ zip_tseitin_17
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl328]) ).
thf(zip_derived_cl376,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('213',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
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_cl1674,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1666,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24614,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl148]) ).
thf(zip_derived_cl27860,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl24614]) ).
thf('214',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27860]) ).
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('215',plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl1676,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
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_cl427_298,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23094,plain,
( ( op2 @ e22 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl427]) ).
thf(zip_derived_cl27726,plain,
( ( e20 != e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl23094]) ).
thf('216',plain,
( ( op2 @ e22 @ e23 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27726]) ).
thf(zip_derived_cl1675,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1679_299,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2286_300,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_cl27458,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_cl148_301,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl33172,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27458,zip_derived_cl148]) ).
thf(zip_derived_cl33235,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl33172]) ).
thf('217',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33235]) ).
thf(zip_derived_cl27702_302,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_cl1684_303,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
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_cl24877,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl184]) ).
thf(zip_derived_cl35015,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27702,zip_derived_cl24877]) ).
thf('218',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35015]) ).
thf(zip_derived_cl1682_304,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1681,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24841,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,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('219',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24841,zip_derived_cl200]) ).
thf(zip_derived_cl1681_305,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1680_306,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24825,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1681,zip_derived_cl1680]) ).
thf(zip_derived_cl203_307,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('220',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24825,zip_derived_cl203]) ).
thf(zip_derived_cl365,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('221',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl1697,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1693,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl156,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24959,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl156]) ).
thf(zip_derived_cl28290,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl24959]) ).
thf('222',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28290]) ).
thf(zip_derived_cl357,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('223',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl357]) ).
thf(zip_derived_cl1690_308,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1674_309,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24719,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl186]) ).
thf(zip_derived_cl28041,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl24719]) ).
thf('224',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28041]) ).
thf(zip_derived_cl361,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('225',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
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('226',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_cl1675_310,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1671_311,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl149,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24681,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1671,zip_derived_cl149]) ).
thf(zip_derived_cl27987,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl24681]) ).
thf('227',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27987]) ).
thf(zip_derived_cl1697_312,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24602_313,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl175]) ).
thf(zip_derived_cl27842,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl24602]) ).
thf('228',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27842]) ).
thf(zip_derived_cl1666_314,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1665_315,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24619,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1666,zip_derived_cl1665]) ).
thf(zip_derived_cl200_316,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('229',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24619,zip_derived_cl200]) ).
thf('230',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
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_cl145,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_317,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23092,plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl427]) ).
thf(zip_derived_cl27706,plain,
( ( e20 != e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1668,zip_derived_cl23092]) ).
thf('231',plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27706]) ).
thf(zip_derived_cl325,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('232',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl324,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('233',plain,
( ~ zip_tseitin_16
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl343,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('234',plain,
( ~ zip_tseitin_19
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl343]) ).
thf(zip_derived_cl355,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('235',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zip_derived_cl353,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('236',plain,
( ~ zip_tseitin_21
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zip_derived_cl23098_318,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl1722,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27810,plain,
( ( e21 = e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23098,zip_derived_cl1722]) ).
thf(zip_derived_cl200_319,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('237',plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27810,zip_derived_cl200]) ).
thf(zip_derived_cl338,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('238',plain,
( ~ zip_tseitin_18
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl338]) ).
thf(zip_derived_cl385,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('239',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl382,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('240',plain,
( ~ zip_tseitin_26
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
thf(zip_derived_cl1678,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_cl23097_320,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl27754,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl23097]) ).
thf(zip_derived_cl28077,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl27754]) ).
thf('241',plain,
( ( op2 @ e22 @ e23 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28077]) ).
thf(zip_derived_cl391,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('242',plain,
( ~ zip_tseitin_27
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zip_derived_cl1705,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23098_321,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl27804,plain,
( e21
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl23098]) ).
thf(zip_derived_cl28162,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl27804]) ).
thf('243',plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28162]) ).
thf(zip_derived_cl349,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('244',plain,
( ~ zip_tseitin_20
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl404,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('245',plain,
( ~ zip_tseitin_29
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl404]) ).
thf(zip_derived_cl410,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('246',plain,
( ~ zip_tseitin_30
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl410]) ).
thf(zip_derived_cl415,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('247',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl415]) ).
thf(zip_derived_cl411,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('248',plain,
( ~ zip_tseitin_31
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl411]) ).
thf(zip_derived_cl397,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('249',plain,
( ~ zip_tseitin_28
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl358,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('250',plain,
( ~ zip_tseitin_22
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
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('251',plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl1715_322,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25308,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_323,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('252',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25308,zip_derived_cl201]) ).
thf(zip_derived_cl1714,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1712_324,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25292,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl1712]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('253',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25292,zip_derived_cl202]) ).
thf(zip_derived_cl1667_325,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1666_326,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_327,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('254',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24634,zip_derived_cl198]) ).
thf(zip_derived_cl1666_328,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2291_329,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_cl27565,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1666,zip_derived_cl2291]) ).
thf(zip_derived_cl27754_330,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl23097]) ).
thf('255',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27565,zip_derived_cl27754]) ).
thf(zip_derived_cl374,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('256',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl374]) ).
thf(zip_derived_cl1712_331,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl24804_332,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl178]) ).
thf(zip_derived_cl28147,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl24804]) ).
thf('257',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28147]) ).
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('258',plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1695_333,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1694,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24989,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_334,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('259',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24989,zip_derived_cl198]) ).
thf(zip_derived_cl60,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1711,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25244,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_335,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('260',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25244,zip_derived_cl201]) ).
thf(zip_derived_cl1710,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_336,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25228,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_337,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('261',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25228,zip_derived_cl202]) ).
thf(zip_derived_cl1709,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1708_338,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25211,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1709,zip_derived_cl1708]) ).
thf(zip_derived_cl203_339,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('262',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25211,zip_derived_cl203]) ).
thf(zip_derived_cl1694_340,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1693_341,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24976,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_342,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('263',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24976,zip_derived_cl200]) ).
thf(zip_derived_cl1697_343,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2289_344,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_cl27516,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_cl1697_345,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_cl25013,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl158]) ).
thf('264',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27516,zip_derived_cl25013]) ).
thf(zip_derived_cl1698_346,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1697_347,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25032,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_348,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('265',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25032,zip_derived_cl200]) ).
thf(zip_derived_cl1719,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1716_349,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25369,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_350,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('266',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25369,zip_derived_cl201]) ).
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('267',plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
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('268',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl1669_351,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1665_352,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24599,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl146]) ).
thf(zip_derived_cl27787,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl24599]) ).
thf('269',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27787]) ).
thf(zip_derived_cl1671_353,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1669_354,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24686,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1669]) ).
thf(zip_derived_cl199_355,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('270',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24686,zip_derived_cl199]) ).
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_66]) ).
thf('271',plain,
( zip_tseitin_24
| zip_tseitin_28
| zip_tseitin_16
| zip_tseitin_19
| zip_tseitin_23
| zip_tseitin_21
| zip_tseitin_25
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_22
| zip_tseitin_26
| zip_tseitin_27
| zip_tseitin_20
| zip_tseitin_29
| zip_tseitin_30
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zip_derived_cl1681_356,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1677_357,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
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_cl24757,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl150]) ).
thf(zip_derived_cl28067,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl24757]) ).
thf('272',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28067]) ).
thf(zip_derived_cl367,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('273',plain,
( ~ zip_tseitin_23
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf(zip_derived_cl1703,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1695_358,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24984,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl157]) ).
thf(zip_derived_cl28311,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl24984]) ).
thf('274',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28311]) ).
thf(zip_derived_cl1699,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1695_359,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl156_360,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24983,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl156]) ).
thf(zip_derived_cl28306,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1699,zip_derived_cl24983]) ).
thf('275',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28306]) ).
thf(zip_derived_cl327,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('276',plain,
( ~ zip_tseitin_17
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl375,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('277',plain,
( ~ zip_tseitin_25
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl373,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('278',plain,
( ~ zip_tseitin_24
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl1703_361,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2293_362,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_cl27614,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_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl34516,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27614,zip_derived_cl181]) ).
thf(zip_derived_cl1703_363,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl34534,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34516,zip_derived_cl1703]) ).
thf('279',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= ( op2 @ e21 @ e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34534]) ).
thf(zip_derived_cl27702_364,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_cl2292_365,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_cl35013,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27702,zip_derived_cl2292]) ).
thf(zip_derived_cl23098_366,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl35094,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35013,zip_derived_cl23098]) ).
thf(zip_derived_cl203_367,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('280',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35094,zip_derived_cl203]) ).
thf('281',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('282',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= ( op2 @ e21 @ e20 ) )
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl23098_368,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
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_cl27813,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= ( op2 @ e20 @ e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23098,zip_derived_cl2296]) ).
thf(zip_derived_cl27804_369,plain,
( e21
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl23098]) ).
thf('283',plain,
( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= ( op2 @ e20 @ e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27813,zip_derived_cl27804]) ).
thf(zip_derived_cl81,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('284',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(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('285',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1703_370,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
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_cl25116,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_371,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('286',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25116,zip_derived_cl201]) ).
thf(zip_derived_cl1702_372,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1700_373,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25097,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1702,zip_derived_cl1700]) ).
thf(zip_derived_cl202_374,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('287',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25097,zip_derived_cl202]) ).
thf(zip_derived_cl1699_375,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1698_376,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25047,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1699,zip_derived_cl1698]) ).
thf(zip_derived_cl198_377,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('288',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25047,zip_derived_cl198]) ).
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('289',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl23098_378,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl1720,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27809,plain,
( ( e21 = e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23098,zip_derived_cl1720]) ).
thf(zip_derived_cl203_379,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('290',plain,
( ( op2 @ e20 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27809,zip_derived_cl203]) ).
thf(zip_derived_cl27761_380,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
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_cl35831,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27761,zip_derived_cl2298]) ).
thf(zip_derived_cl154_381,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl35938,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35831,zip_derived_cl154]) ).
thf(zip_derived_cl27761_382,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
thf(zip_derived_cl35964,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35938,zip_derived_cl27761]) ).
thf('291',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= ( op2 @ e22 @ e20 ) )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35964]) ).
thf(zip_derived_cl1706,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl27761_383,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl35827,plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27761,zip_derived_cl188]) ).
thf(zip_derived_cl35881,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl35827]) ).
thf('292',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35881]) ).
thf(zip_derived_cl27761_384,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
thf(zip_derived_cl1688,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl35828,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27761,zip_derived_cl1688]) ).
thf(zip_derived_cl202_385,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('293',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35828,zip_derived_cl202]) ).
thf(zip_derived_cl1685_386,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2294_387,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_cl27637,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_cl24959_388,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl156]) ).
thf(zip_derived_cl34687,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27637,zip_derived_cl24959]) ).
thf('294',plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
!= ( op2 @ e22 @ e21 ) )
| ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34687]) ).
thf('295',plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ 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_cl427_389,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl427_390,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27469,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2287,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_391,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23096,plain,
( ( op2 @ e20 @ e23 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl427]) ).
thf(zip_derived_cl27744,plain,
( ( e20 != e20 )
<= ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27469,zip_derived_cl23096]) ).
thf('296',plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27744]) ).
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('297',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1689,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23098_392,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl27803,plain,
( e21
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl23098]) ).
thf(zip_derived_cl28151,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1689,zip_derived_cl27803]) ).
thf('298',plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28151]) ).
thf(zip_derived_cl1693_393,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2285_394,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_cl27442,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl2285]) ).
thf(zip_derived_cl1693_395,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157_396,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24960,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl157]) ).
thf('299',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27442,zip_derived_cl24960]) ).
thf(zip_derived_cl1701_397,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl24960_398,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl157]) ).
thf(zip_derived_cl28295,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl24960]) ).
thf('300',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28295]) ).
thf(zip_derived_cl27458_399,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_cl1665_400,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl33176,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27458,zip_derived_cl1665]) ).
thf(zip_derived_cl199_401,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('301',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33176,zip_derived_cl199]) ).
thf('302',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1679_402,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1678_403,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24794,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_404,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('303',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24794,zip_derived_cl198]) ).
thf(zip_derived_cl1679_405,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677_406,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24793,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_407,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('304',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24793,zip_derived_cl199]) ).
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('305',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
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_cl1662,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl427_408,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24570,plain,
( ( e20 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1662,zip_derived_cl427]) ).
thf(zip_derived_cl202_409,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('306',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24570,zip_derived_cl202]) ).
thf(zip_derived_cl1711_410,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710_411,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25246,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_412,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('307',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25246,zip_derived_cl198]) ).
thf(zip_derived_cl1711_413,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1709_414,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25245,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_415,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('308',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25245,zip_derived_cl199]) ).
thf(zip_derived_cl1678_416,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1677_417,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl24777,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_418,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('309',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24777,zip_derived_cl200]) ).
thf(zip_derived_cl1695_419,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
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_cl24987,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1695,zip_derived_cl1692]) ).
thf(zip_derived_cl201_420,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('310',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24987,zip_derived_cl201]) ).
thf(zip_derived_cl1694_421,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692_422,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24975,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_423,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('311',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24975,zip_derived_cl202]) ).
thf(zip_derived_cl1693_424,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1692_425,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24963,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_426,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('312',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24963,zip_derived_cl203]) ).
thf(zip_derived_cl1710_427,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1709_428,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25229,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1710,zip_derived_cl1709]) ).
thf(zip_derived_cl200_429,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('313',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25229,zip_derived_cl200]) ).
thf(zip_derived_cl1694_430,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23097_431,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl27755,plain,
( e22
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl23097]) ).
thf(zip_derived_cl28097,plain,
( ( e22 != e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl27755]) ).
thf('314',plain,
( ( op2 @ e21 @ e23 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28097]) ).
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('315',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl1663,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl427_432,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24577,plain,
( ( e20 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1663,zip_derived_cl427]) ).
thf(zip_derived_cl201_433,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('316',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24577,zip_derived_cl201]) ).
thf(zip_derived_cl23097_434,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl1711_435,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27759,plain,
( ( e22 = e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl1711]) ).
thf(zip_derived_cl198_436,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('317',plain,
( ( op2 @ e20 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27759,zip_derived_cl198]) ).
thf(zip_derived_cl1712_437,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
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_cl27491,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1712,zip_derived_cl2288]) ).
thf(zip_derived_cl23098_438,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl33270,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27491,zip_derived_cl23098]) ).
thf(zip_derived_cl203_439,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('318',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
!= ( op2 @ e20 @ e22 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33270,zip_derived_cl203]) ).
thf(zip_derived_cl27517_440,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1698,zip_derived_cl2289]) ).
thf(zip_derived_cl1684_441,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl33496,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27517,zip_derived_cl1684]) ).
thf(zip_derived_cl202_442,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('319',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33496,zip_derived_cl202]) ).
thf('320',plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1713,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23098_443,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl27800,plain,
( e21
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl23098]) ).
thf(zip_derived_cl28111,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl27800]) ).
thf('321',plain,
( ( op2 @ e20 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28111]) ).
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('322',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1714_444,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23097_445,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl27751,plain,
( ( op2 @ e20 @ e22 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl23097]) ).
thf(zip_derived_cl28036,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl27751]) ).
thf('323',plain,
( ( op2 @ e20 @ e22 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28036]) ).
thf('324',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
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_cl2290_446,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_cl27543,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_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl33724,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27543,zip_derived_cl174]) ).
thf(zip_derived_cl1683_447,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl33742,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33724,zip_derived_cl1683]) ).
thf('325',plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= ( op2 @ e22 @ e22 ) )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33742]) ).
thf(zip_derived_cl1715_448,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1683_449,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178_450,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24856,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl178]) ).
thf(zip_derived_cl28225,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl24856]) ).
thf('326',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28225]) ).
thf(zip_derived_cl1683_451,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1682_452,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl24862,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_453,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('327',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24862,zip_derived_cl198]) ).
thf(zip_derived_cl1685_454,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1677_455,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151_456,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24758,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl151]) ).
thf(zip_derived_cl28072,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl24758]) ).
thf('328',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28072]) ).
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('329',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl68,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('330',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl23097_457,plain,
( e22
= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl427]) ).
thf(zip_derived_cl1709_458,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27758,plain,
( ( e22 = e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl1709]) ).
thf(zip_derived_cl200_459,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('331',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27758,zip_derived_cl200]) ).
thf(zip_derived_cl27564_460,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1665,zip_derived_cl2291]) ).
thf(zip_derived_cl1695_461,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl33771,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27564,zip_derived_cl1695]) ).
thf(zip_derived_cl199_462,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('332',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= ( op2 @ e23 @ e22 ) )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33771,zip_derived_cl199]) ).
thf(zip_derived_cl1695_463,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1679_464,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170_465,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24790,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl170]) ).
thf(zip_derived_cl28120,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1695,zip_derived_cl24790]) ).
thf('333',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28120]) ).
thf(zip_derived_cl1695_466,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1693_467,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl24988,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_468,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('334',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24988,zip_derived_cl199]) ).
thf('335',plain,
( ( ( 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 ) ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl1707,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1675_469,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24733,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl187]) ).
thf(zip_derived_cl28064,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1707,zip_derived_cl24733]) ).
thf('336',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28064]) ).
thf(zip_derived_cl1691_470,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1675_471,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186_472,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24732,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl186]) ).
thf(zip_derived_cl28059,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl24732]) ).
thf('337',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28059]) ).
thf(zip_derived_cl1675_473,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_cl27723,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_cl427_474,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27724,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= ( op2 @ e23 @ e20 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27723,zip_derived_cl427]) ).
thf(zip_derived_cl201_475,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('338',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= ( op2 @ e23 @ e20 ) )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27724,zip_derived_cl201]) ).
thf(zip_derived_cl1681_476,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1665_477,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174_478,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24601,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl174]) ).
thf(zip_derived_cl27796,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl24601]) ).
thf('339',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27796]) ).
thf('340',plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
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_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl427_479,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23093,plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl427]) ).
thf(zip_derived_cl27715,plain,
( ( e20 != e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl23093]) ).
thf('341',plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl27715]) ).
thf(zip_derived_cl69,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('342',plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl1661,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl427_480,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24567,plain,
( ( e20 = e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1661,zip_derived_cl427]) ).
thf(zip_derived_cl203_481,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('343',plain,
( ( op2 @ e23 @ e23 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24567,zip_derived_cl203]) ).
thf(zip_derived_cl1673,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23098_482,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl27802,plain,
( e21
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl23098]) ).
thf(zip_derived_cl28137,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl27802]) ).
thf('344',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28137]) ).
thf(zip_derived_cl1702_483,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1670,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181_484,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24669,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl181]) ).
thf(zip_derived_cl27967,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1702,zip_derived_cl24669]) ).
thf('345',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27967]) ).
thf(zip_derived_cl1686_485,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1670_486,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180_487,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24668,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl180]) ).
thf(zip_derived_cl27957,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1686,zip_derived_cl24668]) ).
thf('346',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27957]) ).
thf(zip_derived_cl1674_488,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1670_489,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl149_490,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24667,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl149]) ).
thf(zip_derived_cl27952,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl24667]) ).
thf('347',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27952]) ).
thf(zip_derived_cl1670_491,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1666_492,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146_493,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24613,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl146]) ).
thf(zip_derived_cl27852,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl24613]) ).
thf('348',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27852]) ).
thf(zip_derived_cl1670_494,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2295_495,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_cl27655,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1670,zip_derived_cl2295]) ).
thf(zip_derived_cl27754_496,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl23097]) ).
thf('349',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27655,zip_derived_cl27754]) ).
thf(zip_derived_cl1670_497,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1669_498,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24672,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_499,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('350',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24672,zip_derived_cl200]) ).
thf('351',plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= ( op2 @ e21 @ e21 ) )
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= ( op2 @ e23 @ e21 ) )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= ( op2 @ e22 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl27761_500,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23097,zip_derived_cl2284]) ).
thf(zip_derived_cl24719_501,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl186]) ).
thf(zip_derived_cl35832,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27761,zip_derived_cl24719]) ).
thf('352',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35832]) ).
thf(zip_derived_cl1719_502,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1687_503,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184_504,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24904,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl184]) ).
thf(zip_derived_cl28271,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl24904]) ).
thf('353',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28271]) ).
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('354',plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1514_505,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1506_506,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112_507,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23635,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl112]) ).
thf(zip_derived_cl27370,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23635]) ).
thf('355',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27370]) ).
thf(zip_derived_cl1510_508,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1506_509,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110_510,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23634,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl110]) ).
thf(zip_derived_cl27365,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl23634]) ).
thf('356',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27365]) ).
thf(zip_derived_cl1506_511,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1474_512,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127_513,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23237,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl127]) ).
thf(zip_derived_cl26700,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl23237]) ).
thf('357',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26700]) ).
thf(zip_derived_cl1507_514,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1506_515,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23655,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl1506]) ).
thf(zip_derived_cl192_516,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('358',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23655,zip_derived_cl192]) ).
thf(zip_derived_cl1506_517,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1505_518,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23638,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_519,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('359',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23638,zip_derived_cl194]) ).
thf(zip_derived_cl1506_520,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1504_521,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23637,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1504]) ).
thf(zip_derived_cl196_522,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('360',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23637,zip_derived_cl196]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('361',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl275,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('362',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl1004,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e13 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl13517,plain,
( ( ( h3 @ e13 )
!= e22 )
<= ( ( h3 @ e13 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1004]) ).
thf(zip_derived_cl439_523,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl24335,plain,
( ( e22 != e22 )
<= ( ( h3 @ e13 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl13517,zip_derived_cl439]) ).
thf('363',plain,
( ( h3 @ e13 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl24335]) ).
thf(zip_derived_cl12543,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl23078_524,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl424]) ).
thf(zip_derived_cl438_525,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl439_526,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl436_527,plain,
( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45845,plain,
( ( ( h3 @ e12 )
!= ( h3 @ e12 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12543,zip_derived_cl23078,zip_derived_cl438,zip_derived_cl439,zip_derived_cl436]) ).
thf('364',plain,
( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45845]) ).
thf(zip_derived_cl12540,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl23079_528,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl438_529,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl438_530,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl437_531,plain,
( ( h3 @ e11 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45807,plain,
( ( ( h3 @ e11 )
!= ( h3 @ e11 ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12540,zip_derived_cl23079,zip_derived_cl438,zip_derived_cl438,zip_derived_cl437]) ).
thf('365',plain,
( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45807]) ).
thf(zip_derived_cl12555,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl424_532,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl438_533,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl439_534,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl439_535,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl46024,plain,
( ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12555,zip_derived_cl424,zip_derived_cl438,zip_derived_cl439,zip_derived_cl439]) ).
thf('366',plain,
( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46024]) ).
thf(zip_derived_cl1715_536,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1687_537,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl36024_538,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl1478_539,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl12553,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl439_540,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45987,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e22 @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12553,zip_derived_cl439]) ).
thf(zip_derived_cl45989,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e22 @ ( h3 @ e11 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1478,zip_derived_cl45987]) ).
thf(zip_derived_cl47705,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl45989]) ).
thf(zip_derived_cl24805_541,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl47710,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47705,zip_derived_cl24805]) ).
thf(zip_derived_cl47738,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl47710]) ).
thf(zip_derived_cl47746,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl47738]) ).
thf('367',plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47746]) ).
thf(zip_derived_cl1670_542,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1715_543,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1495_544,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl36024_545,plain,
( ( ( h3 @ e11 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl24806,zip_derived_cl23098]) ).
thf(zip_derived_cl12549,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl45947,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36024,zip_derived_cl12549]) ).
thf(zip_derived_cl24805_546,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl45956,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45947,zip_derived_cl24805]) ).
thf(zip_derived_cl49637,plain,
( ( ( h3 @ e13 )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl45956]) ).
thf(zip_derived_cl439_547,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl49643,plain,
( ( e22
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49637,zip_derived_cl439]) ).
thf(zip_derived_cl49723,plain,
( ( e22
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl49643]) ).
thf(zip_derived_cl49727,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl49723]) ).
thf('368',plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49727]) ).
thf(zip_derived_cl1690_548,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1680_549,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1483_550,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl12552,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl439_551,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl438_552,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45979,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12552,zip_derived_cl439,zip_derived_cl438]) ).
thf(zip_derived_cl45981,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1483,zip_derived_cl45979]) ).
thf(zip_derived_cl439_553,plain,
( ( h3 @ e13 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45984,plain,
( ( e22
!= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45981,zip_derived_cl439]) ).
thf(zip_derived_cl48060,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl45984]) ).
thf(zip_derived_cl48069,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1690,zip_derived_cl48060]) ).
thf('369',plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48069]) ).
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('370',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
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('371',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl2288_554,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_cl1498_555,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1680_556,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl12548,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl956]) ).
thf(zip_derived_cl438_557,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl45913,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( op2 @ e22 @ e22 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12548,zip_derived_cl438]) ).
thf(zip_derived_cl45914,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl45913]) ).
thf(zip_derived_cl24805_558,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl45923,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45914,zip_derived_cl24805]) ).
thf(zip_derived_cl49068,plain,
( ( ( h3 @ e12 )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl45923]) ).
thf(zip_derived_cl24805_559,plain,
( ( ( h3 @ e12 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl436]) ).
thf(zip_derived_cl49072,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49068,zip_derived_cl24805]) ).
thf(zip_derived_cl49110,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2288,zip_derived_cl49072]) ).
thf('372',plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49110]) ).
thf(zip_derived_cl1499_560,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1498_561,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23562,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_562,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('373',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23562,zip_derived_cl192]) ).
thf(zip_derived_cl1076,plain,
( ( ( h3 @ e12 )
!= e23 )
| ( ( h3 @ e13 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('374',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ e13 )
!= e22 )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ e12 )
!= e23 )
| ( ( h3 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1076]) ).
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('375',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1470,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl424_563,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23197,plain,
( ( e10 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1470,zip_derived_cl424]) ).
thf(zip_derived_cl196_564,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('376',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23197,zip_derived_cl196]) ).
thf(zip_derived_cl21,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('377',plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1469,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl424_565,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23188,plain,
( ( e10 = e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1469,zip_derived_cl424]) ).
thf(zip_derived_cl197_566,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('378',plain,
( ( op1 @ e13 @ e13 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23188,zip_derived_cl197]) ).
thf(zip_derived_cl1479_567,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1478_568,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23310,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_569,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('379',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23310,zip_derived_cl192]) ).
thf(zip_derived_cl1479_570,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1477_571,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23309,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl1477]) ).
thf(zip_derived_cl193_572,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('380',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23309,zip_derived_cl193]) ).
thf(zip_derived_cl1474_573,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1473_574,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23240,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1474,zip_derived_cl1473]) ).
thf(zip_derived_cl194_575,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('381',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23240,zip_derived_cl194]) ).
thf('382',plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23078_576,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl424]) ).
thf(zip_derived_cl1517_577,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl27622,plain,
( ( e12 = e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23078,zip_derived_cl1517]) ).
thf(zip_derived_cl194_578,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('383',plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27622,zip_derived_cl194]) ).
thf(zip_derived_cl1516_579,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23077_580,plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl424]) ).
thf(zip_derived_cl27603,plain,
( ( e10 != e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1516,zip_derived_cl23077]) ).
thf('384',plain,
( ( op1 @ e10 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27603]) ).
thf(zip_derived_cl23078_581,plain,
( e12
= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl424]) ).
thf(zip_derived_cl1519_582,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl27623,plain,
( ( e12 = e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23078,zip_derived_cl1519]) ).
thf(zip_derived_cl192_583,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('385',plain,
( ( op1 @ e10 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27623,zip_derived_cl192]) ).
thf('386',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_cl1530,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1518_584,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_cl23769,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl117]) ).
thf(zip_derived_cl27561,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23769]) ).
thf('387',plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27561]) ).
thf(zip_derived_cl23079_585,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl1531,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl27665,plain,
( ( e11 = e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23079,zip_derived_cl1531]) ).
thf(zip_derived_cl193_586,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('388',plain,
( ( op1 @ e10 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27665,zip_derived_cl193]) ).
thf('389',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1529_587,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1481_588,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
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_cl23330,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl141]) ).
thf(zip_derived_cl26852,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl23330]) ).
thf('390',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26852]) ).
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('391',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1480_589,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
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_cl424_590,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23074,plain,
( ( op1 @ e13 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl424]) ).
thf(zip_derived_cl27450,plain,
( ( e10 != e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1480,zip_derived_cl23074]) ).
thf('392',plain,
( ( op1 @ e13 @ e10 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl27450]) ).
thf(zip_derived_cl23079_591,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl424,zip_derived_cl424]) ).
thf(zip_derived_cl1528,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl27664,plain,
( ( e11 = e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23079,zip_derived_cl1528]) ).
thf(zip_derived_cl197_592,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('393',plain,
( ( op1 @ e10 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27664,zip_derived_cl197]) ).
thf(zip_derived_cl1498_593,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2074_594,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_cl27202,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl2074]) ).
thf(zip_derived_cl106_595,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl32411,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27202,zip_derived_cl106]) ).
thf(zip_derived_cl1498_596,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl32428,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32411,zip_derived_cl1498]) ).
thf('394',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32428]) ).
thf(zip_derived_cl1514_597,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1498_598,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140_599,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23544,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl140]) ).
thf(zip_derived_cl27221,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23544]) ).
thf('395',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27221]) ).
thf(zip_derived_cl1498_600,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1490_601,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl106_602,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23457,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl106]) ).
thf(zip_derived_cl27084,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23457]) ).
thf('396',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27084]) ).
thf(zip_derived_cl1498_603,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1482_604,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
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_cl23342,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl138]) ).
thf(zip_derived_cl26858,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl23342]) ).
thf('397',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26858]) ).
thf(zip_derived_cl1498_605,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1496_606,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23546,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_607,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('398',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23546,zip_derived_cl196]) ).
thf(zip_derived_cl1505_608,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1477_609,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2071_610,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) )
<= ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl27127,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl2071]) ).
thf(zip_derived_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl31871,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27127,zip_derived_cl108]) ).
thf(zip_derived_cl31919,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl31871]) ).
thf('399',plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= ( op1 @ e13 @ e11 ) )
| ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31919]) ).
thf(zip_derived_cl278,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('400',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl1514_611,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1510_612,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113_613,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23685,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl113]) ).
thf(zip_derived_cl27421,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl23685]) ).
thf('401',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27421]) ).
thf(zip_derived_cl1510_614,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1494_615,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134_616,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23507,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl134]) ).
thf(zip_derived_cl27168,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl23507]) ).
thf('402',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27168]) ).
thf(zip_derived_cl39,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('403',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('404',plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1511_617,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1503_618,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl109_619,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23602,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl109]) ).
thf(zip_derived_cl27317,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl23602]) ).
thf('405',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27317]) ).
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('406',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1523_620,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl26898_621,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_cl129_622,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl29616,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26898,zip_derived_cl129]) ).
thf(zip_derived_cl29821,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl29616]) ).
thf('407',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29821]) ).
thf('408',plain,
( ( ( 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 @ e13 ) @ e13 )
= ( op1 @ e13 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl51731,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z4AXCv8ybj true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 05:53:05 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 51.16/7.95 % Solved by fo/fo1_av.sh.
% 51.16/7.95 % done 25136 iterations in 7.044s
% 51.16/7.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 51.16/7.95 % SZS output start Refutation
% See solution above
% 51.16/7.97
% 51.16/7.97
% 51.16/7.97 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 51.16/7.97 % Terminating...
% 51.74/8.06 % Runner terminated.
% 51.74/8.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------