TSTP Solution File: ALG104+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG104+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.gaPEdAddOs true
% Computer : n006.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 17:10:48 EDT 2023
% Result : Theorem 113.55s 16.84s
% Output : Refutation 113.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 225
% Syntax : Number of formulae : 3488 ( 543 unt; 142 typ; 0 def)
% Number of atoms : 8840 (8283 equ; 0 cnn)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 30088 (3493 ~;2150 |;1474 &;21101 @)
% ( 0 <=>; 64 =>;1806 <=; 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 : 80 ( 78 usr; 73 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_52_type,type,
zip_tseitin_52: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $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(zip_tseitin_45_type,type,
zip_tseitin_45: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $o ).
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $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(zip_tseitin_63_type,type,
zip_tseitin_63: $o ).
thf(zip_tseitin_57_type,type,
zip_tseitin_57: $o ).
thf(zip_tseitin_62_type,type,
zip_tseitin_62: $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_42_type,type,
zip_tseitin_42: $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_32_type,type,
zip_tseitin_32: $o ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_53_type,type,
zip_tseitin_53: $o ).
thf(zip_tseitin_58_type,type,
zip_tseitin_58: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $o ).
thf(zip_tseitin_60_type,type,
zip_tseitin_60: $o ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $o ).
thf(zip_tseitin_61_type,type,
zip_tseitin_61: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_55_type,type,
zip_tseitin_55: $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_33_type,type,
zip_tseitin_33: $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_54_type,type,
zip_tseitin_54: $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $o ).
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $o ).
thf(zip_tseitin_56_type,type,
zip_tseitin_56: $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(zip_tseitin_35_type,type,
zip_tseitin_35: $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $o ).
thf(zip_tseitin_59_type,type,
zip_tseitin_59: $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $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(zip_tseitin_38_type,type,
zip_tseitin_38: $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_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_cl1539,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1538,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23700,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl1538]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('0',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23700,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_cl1558,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
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_cl1554,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
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_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23885,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl110]) ).
thf(zip_derived_cl26996,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl23885]) ).
thf('1',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26996]) ).
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_cl1546,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
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_cl1530,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
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_cl23536,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl138]) ).
thf(zip_derived_cl26378,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl23536]) ).
thf('2',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26378]) ).
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_cl1535,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
!= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e12 )
!= e10 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
!= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 ) )
| ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 ) )
| ( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= e11 ) )
| ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 ) )
| ( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 ) )
| ( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 ) )
| ( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 ) )
| ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= e12 ) )
| ( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 ) )
| ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 ) )
| ( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e11 )
!= e13 ) )
| ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
!= e13 ) )
| ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e10 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e10 ) )
!= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e11 ) )
!= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e12 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e12 ) )
!= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e13 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
!= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e10 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e10 ) )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e11 ) )
!= e13 ) )
| ( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e12 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e12 ) )
!= e13 ) )
| ( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e13 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
!= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e10 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e10 ) )
!= e13 ) )
| ( ( ( op1 @ e11 @ e12 )
= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e11 ) )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e12 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e12 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e12 ) )
!= e13 ) )
| ( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e13 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e13 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
!= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e10 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e13 ) )
| ( ( ( op1 @ e11 @ e13 )
= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e13 ) )
| ( ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e12 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e12 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e13 ) )
!= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e13 ) )
!= e11 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e13 ) )
!= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 ) ) ) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1970,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl27098,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl1970]) ).
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_cl1553,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl108,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23875,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl108]) ).
thf(zip_derived_cl39048,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27098,zip_derived_cl23875]) ).
thf('3',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39048]) ).
thf(zip_derived_cl1557,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1555,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23908,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1555]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('4',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23908,zip_derived_cl193]) ).
thf(zip_derived_cl1533,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 ) ) ) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1976,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
<= ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl27174,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1976]) ).
thf(zip_derived_cl1533_001,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl258,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1978,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl27201,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl1978]) ).
thf(zip_derived_cl41250,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27174,zip_derived_cl27201]) ).
thf('5',plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41250]) ).
thf(zip_derived_cl1547,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 ) ) ) ).
thf(zip_derived_cl245,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1952,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
<= ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf(zip_derived_cl26863,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1952]) ).
thf(zip_derived_cl1557_002,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl34974,plain,
( ( e10 = e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26863,zip_derived_cl1557]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('6',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34974,zip_derived_cl195]) ).
thf(zip_derived_cl1549,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1533_003,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138_004,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23584,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl138]) ).
thf(zip_derived_cl26411,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23584]) ).
thf('7',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26411]) ).
thf(zip_derived_cl1536,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl253,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1969,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl27073,plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl1969]) ).
thf(zip_derived_cl1536_005,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl27075,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27073,zip_derived_cl1536]) ).
thf('8',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27075]) ).
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_cl1525,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1524,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23457,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1524]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('9',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23457,zip_derived_cl192]) ).
thf(zip_derived_cl27098_006,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl1970]) ).
thf(zip_derived_cl1556,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl39032,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27098,zip_derived_cl1556]) ).
thf(zip_derived_cl192_007,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('10',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl39032,zip_derived_cl192]) ).
thf(zip_derived_cl1525_008,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
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_cl1521,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23385,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl96]) ).
thf(zip_derived_cl26207,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl23385]) ).
thf('11',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26207]) ).
thf(zip_derived_cl1538_009,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1549_010,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1952_011,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
<= ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf(zip_derived_cl26864,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1952]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl35182,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26864,zip_derived_cl126]) ).
thf(zip_derived_cl35567,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl35182]) ).
thf('12',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35567]) ).
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_cl1544,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1536_012,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23644,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl103]) ).
thf(zip_derived_cl26551,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl23644]) ).
thf('13',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26551]) ).
thf(zip_derived_cl1544_013,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl1528,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_cl23502,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl132]) ).
thf(zip_derived_cl26345,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl23502]) ).
thf('14',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26345]) ).
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_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('15',plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1542,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1538_014,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
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_cl23683,plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl104]) ).
thf(zip_derived_cl26626,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl23683]) ).
thf('16',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26626]) ).
thf(zip_derived_cl1559,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1543,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23761,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl134]) ).
thf(zip_derived_cl26781,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl23761]) ).
thf('17',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26781]) ).
thf(zip_derived_cl1519,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ) ) ) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1995,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl27405,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1995]) ).
thf(zip_derived_cl1537,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_cl23665,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl122]) ).
thf(zip_derived_cl44999,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27405,zip_derived_cl23665]) ).
thf('18',plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44999]) ).
thf(zip_derived_cl1526,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl26864_015,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1952]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl35180,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26864,zip_derived_cl98]) ).
thf(zip_derived_cl35502,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl35180]) ).
thf('19',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35502]) ).
thf(zip_derived_cl1549_016,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1537_017,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_cl23664,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl105]) ).
thf(zip_derived_cl26607,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23664]) ).
thf('20',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26607]) ).
thf(zip_derived_cl1526_018,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1531,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1978_019,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl27200,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl1978]) ).
thf(zip_derived_cl30526,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl27200]) ).
thf('21',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30526]) ).
thf(zip_derived_cl26864_020,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1952]) ).
thf(zip_derived_cl1524_021,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl35184,plain,
( ( e10 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26864,zip_derived_cl1524]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('22',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35184,zip_derived_cl196]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e10 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ) )
& ( e12
= ( op1 @ e10 @ e10 ) )
& ( e11
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl472,plain,
( e13
= ( op1 @ e10 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl473,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23163,plain,
( e13
= ( op1 @ e10 @ ( op1 @ e10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl472,zip_derived_cl473]) ).
thf(zip_derived_cl474,plain,
( e11
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl473_022,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23167,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl29288,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e11 ) ) ) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1910,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl29297,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl1530_023,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl70345,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29297,zip_derived_cl1530]) ).
thf(zip_derived_cl197_024,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('23',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70345,zip_derived_cl197]) ).
thf(zip_derived_cl1560,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1528_025,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_cl23503,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl133]) ).
thf(zip_derived_cl26350,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl23503]) ).
thf('24',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26350]) ).
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_cl1563,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1547_026,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23810,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl140]) ).
thf(zip_derived_cl26868,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl23810]) ).
thf('25',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26868]) ).
thf(zip_derived_cl1553_027,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1552,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23881,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1553,zip_derived_cl1552]) ).
thf(zip_derived_cl192_028,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('26',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23881,zip_derived_cl192]) ).
thf(zip_derived_cl1528_029,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e11 )
!= e13 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 ) ) ) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1982,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
<= ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl27260,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1982]) ).
thf(zip_derived_cl1519_030,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23347,plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl120]) ).
thf(zip_derived_cl42716,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27260,zip_derived_cl23347]) ).
thf('27',plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42716]) ).
thf(zip_derived_cl26863_031,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1952]) ).
thf(zip_derived_cl1538_032,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
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_cl23685,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl128]) ).
thf(zip_derived_cl34986,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26863,zip_derived_cl23685]) ).
thf('28',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34986]) ).
thf(zip_derived_cl1554_033,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23685_034,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl128]) ).
thf(zip_derived_cl26658,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl23685]) ).
thf('29',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26658]) ).
thf(zip_derived_cl1544_035,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1524_036,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e12 )
!= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 ) ) ) ).
thf(zip_derived_cl263,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1988,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl27341,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1988]) ).
thf(zip_derived_cl103_037,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl44025,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27341,zip_derived_cl103]) ).
thf(zip_derived_cl44390,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl44025]) ).
thf('30',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44390]) ).
thf(zip_derived_cl27098_038,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl1970]) ).
thf(zip_derived_cl1554_039,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl39031,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27098,zip_derived_cl1554]) ).
thf(zip_derived_cl195_040,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('31',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl39031,zip_derived_cl195]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 ) ) ) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('32',plain,
( ~ zip_tseitin_6
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl1554_041,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1939,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl26697,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl1939]) ).
thf(zip_derived_cl23167_042,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl26700,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26697,zip_derived_cl23167]) ).
thf('33',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26700]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('34',plain,
( ~ zip_tseitin_1
| ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl1526_043,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl29288_044,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zip_derived_cl1909,plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl29296,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29288,zip_derived_cl1909]) ).
thf(zip_derived_cl29338,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl29296]) ).
thf('35',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29338]) ).
thf(zip_derived_cl1526_045,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1982_046,plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
<= ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl27258,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl1982]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23167_047,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23168,plain,
( e11
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl23167]) ).
thf('36',plain,
( ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27258,zip_derived_cl23168]) ).
thf(zip_derived_cl1558_048,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1526_049,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133_050,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23470,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl133]) ).
thf(zip_derived_cl26307,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl23470]) ).
thf('37',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26307]) ).
thf(zip_derived_cl1563_051,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1551,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23848,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl111]) ).
thf(zip_derived_cl26950,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl23848]) ).
thf('38',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26950]) ).
thf('39',plain,
( ~ zip_tseitin_12
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl1531_052,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1976_053,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
<= ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl27173,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl1976]) ).
thf(zip_derived_cl1551_054,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl40822,plain,
( ( e10 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27173,zip_derived_cl1551]) ).
thf(zip_derived_cl197_055,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('40',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40822,zip_derived_cl197]) ).
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_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_cl1751,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl1743,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
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_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25243,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl157]) ).
thf(zip_derived_cl27744,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl25243]) ).
thf('41',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27744]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) )
& ( e22
= ( op2 @ e20 @ e20 ) )
& ( e21
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zip_derived_cl475,plain,
( e23
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl476,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23183,plain,
( e23
= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl476]) ).
thf(zip_derived_cl477,plain,
( e21
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl476_056,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23184,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl29391,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= e20 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= e20 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
!= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e22 )
!= e20 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
!= e23 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 ) )
| ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 ) )
| ( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= e21 ) )
| ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 ) )
| ( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 ) )
| ( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 ) )
| ( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 ) )
| ( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= e22 ) )
| ( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 ) )
| ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 ) )
| ( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e21 )
!= e23 ) )
| ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 ) )
| ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e20 ) )
!= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e21 ) )
!= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e22 ) )
!= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
!= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e20 ) )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 ) )
| ( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e22 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e22 ) )
!= e23 ) )
| ( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e23 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e20 ) )
!= e23 ) )
| ( ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e21 ) )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e22 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e22 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e22 ) )
!= e23 ) )
| ( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e23 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
!= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e20 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e23 ) )
| ( ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e23 ) )
| ( ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e22 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e23 ) )
!= e20 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 ) ) ) ) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_33
=> ( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
!= e21 ) ) ) ).
thf(zip_derived_cl350,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl2190,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl350]) ).
thf(zip_derived_cl29401,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29391,zip_derived_cl2190]) ).
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_cl1719,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
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_cl24962,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl149]) ).
thf(zip_derived_cl70464,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29401,zip_derived_cl24962]) ).
thf('42',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70464]) ).
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_cl1723,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_44
=> ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 ) ) ) ).
thf(zip_derived_cl383,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl2256,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf(zip_derived_cl28345,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl2256]) ).
thf(zip_derived_cl1745,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl56807,plain,
( ( e20 = e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28345,zip_derived_cl1745]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('43',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56807,zip_derived_cl201]) ).
thf(zip_derived_cl1745_057,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
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_cl1713,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24904,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl169]) ).
thf(zip_derived_cl27246,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl24904]) ).
thf('44',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27246]) ).
thf(zip_derived_cl1751_058,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl1735,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25140,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl182]) ).
thf(zip_derived_cl27658,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl25140]) ).
thf('45',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27658]) ).
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_cl1754,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1722,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
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_cl25000,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl187]) ).
thf(zip_derived_cl27434,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl25000]) ).
thf('46',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27434]) ).
thf(zip_derived_cl1745_059,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl52,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1729,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25066,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl170]) ).
thf(zip_derived_cl27562,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl25066]) ).
thf('47',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27562]) ).
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_cl1739,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_40
=> ( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 ) ) ) ).
thf(zip_derived_cl371,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl2232,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl28273,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1739,zip_derived_cl2232]) ).
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_cl1748,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl50498,plain,
( ( e20 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28273,zip_derived_cl1748]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl50562,plain,
( $false
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl50498,zip_derived_cl202]) ).
thf(zip_derived_cl1755,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_36
=> ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 ) ) ) ).
thf(zip_derived_cl359,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl2208,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zip_derived_cl28207,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1755,zip_derived_cl2208]) ).
thf(zip_derived_cl1752,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl45908,plain,
( ( e20 = e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28207,zip_derived_cl1752]) ).
thf(zip_derived_cl202_060,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('48',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45908,zip_derived_cl202]) ).
thf(zip_derived_cl1743_061,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_39
=> ( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 ) ) ) ).
thf(zip_derived_cl368,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl2226,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl28269,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1743,zip_derived_cl2226]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl29391_062,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29395,plain,
( e23
!= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl29391]) ).
thf('49',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28269,zip_derived_cl29395]) ).
thf('50',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
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_cl1717,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_46
=> ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 ) ) ) ).
thf(zip_derived_cl389,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl2268,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
<= ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl28383,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl2268]) ).
thf(zip_derived_cl1717_063,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl390,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl2270,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl28371,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl2270]) ).
thf(zip_derived_cl63434,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28383,zip_derived_cl28371]) ).
thf('51',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl63434]) ).
thf('52',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1746,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zf_stmt_14,axiom,
( zip_tseitin_38
=> ( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 ) ) ) ).
thf(zip_derived_cl365,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl2220,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
<= ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl28234,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1746,zip_derived_cl2220]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl476_064,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23179,plain,
( e22
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl476]) ).
thf('53',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28234,zip_derived_cl23179]) ).
thf(zip_derived_cl1739_065,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1735_066,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25139,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl155]) ).
thf(zip_derived_cl27652,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl25139]) ).
thf('54',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27652]) ).
thf(zip_derived_cl1722_067,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1718,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl149_068,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24955,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl149]) ).
thf(zip_derived_cl27335,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl24955]) ).
thf('55',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27335]) ).
thf(zip_derived_cl1741,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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_cl1733,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
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_cl25113,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1733,zip_derived_cl154]) ).
thf(zip_derived_cl27623,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1741,zip_derived_cl25113]) ).
thf('56',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27623]) ).
thf(zip_derived_cl1727,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zf_stmt_15,axiom,
( zip_tseitin_43
=> ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 ) ) ) ).
thf(zip_derived_cl380,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl2250,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl28339,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1727,zip_derived_cl2250]) ).
thf(zip_derived_cl1748_069,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl52663,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28339,zip_derived_cl1748]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('57',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl52663,zip_derived_cl198]) ).
thf(zip_derived_cl1752_070,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1736,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182_071,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25153,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1736,zip_derived_cl182]) ).
thf(zip_derived_cl27673,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl25153]) ).
thf('58',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27673]) ).
thf(zip_derived_cl1728,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2250_072,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl28340,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1728,zip_derived_cl2250]) ).
thf(zip_derived_cl1728_073,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl381,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl2252,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zip_derived_cl28321,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl2252]) ).
thf(zip_derived_cl53242,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28340,zip_derived_cl28321]) ).
thf('59',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e23 )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl53242]) ).
thf(zip_derived_cl1723_074,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1757,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl358,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl2207,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl28191,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1757,zip_derived_cl2207]) ).
thf(zip_derived_cl32039,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl28191]) ).
thf('60',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32039]) ).
thf(zip_derived_cl1718_075,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1723_076,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl384,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl2258,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl384]) ).
thf(zip_derived_cl28333,plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl2258]) ).
thf(zip_derived_cl32274,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl28333]) ).
thf('61',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32274]) ).
thf(zip_derived_cl1717_077,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1716,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24948,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl1716]) ).
thf(zip_derived_cl198_078,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('62',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24948,zip_derived_cl198]) ).
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_cl70,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('63',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl1728_079,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1727_080,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25057,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1728,zip_derived_cl1727]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('64',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25057,zip_derived_cl200]) ).
thf(zip_derived_cl1727_081,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1726,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25046,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1727,zip_derived_cl1726]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('65',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25046,zip_derived_cl203]) ).
thf(zip_derived_cl28340_082,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1728,zip_derived_cl2250]) ).
thf(zip_derived_cl1730,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl53226,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28340,zip_derived_cl1730]) ).
thf(zip_derived_cl201_083,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('66',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53226,zip_derived_cl201]) ).
thf(zip_derived_cl1754_084,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl28345_085,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl2256]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl56803,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28345,zip_derived_cl159]) ).
thf(zip_derived_cl57039,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl56803]) ).
thf('67',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57039]) ).
thf(zip_derived_cl1741_086,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1739_087,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25220,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1741,zip_derived_cl1739]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('68',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25220,zip_derived_cl199]) ).
thf(zip_derived_cl1729_088,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1728_089,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25070,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1729,zip_derived_cl1728]) ).
thf(zip_derived_cl198_090,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('69',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25070,zip_derived_cl198]) ).
thf(zip_derived_cl349,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('70',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 )
| ~ zip_tseitin_33 ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl1718_091,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl29391_092,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl2189,plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl29400,plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29391,zip_derived_cl2189]) ).
thf(zip_derived_cl29487,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl29400]) ).
thf('71',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e21 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29487]) ).
thf(zip_derived_cl1718_093,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zf_stmt_16,axiom,
( zip_tseitin_45
=> ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e21 )
!= e23 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 ) ) ) ).
thf(zip_derived_cl386,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl2262,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl28375,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1718,zip_derived_cl2262]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23184_094,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23185,plain,
( e21
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl23184]) ).
thf('72',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28375,zip_derived_cl23185]) ).
thf(zip_derived_cl1744,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1727_095,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl379,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl2249,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl379]) ).
thf(zip_derived_cl28314,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl2249]) ).
thf(zip_derived_cl32229,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl28314]) ).
thf('73',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32229]) ).
thf(zip_derived_cl1730_096,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1741_097,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2232_098,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl28274,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1741,zip_derived_cl2232]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl51022,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28274,zip_derived_cl174]) ).
thf(zip_derived_cl51254,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl51022]) ).
thf('74',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl51254]) ).
thf(zip_derived_cl1741_099,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1729_100,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25065,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl153]) ).
thf(zip_derived_cl27556,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1741,zip_derived_cl25065]) ).
thf('75',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27556]) ).
thf(zip_derived_cl1750,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1718_101,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24957,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl181]) ).
thf(zip_derived_cl27351,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl24957]) ).
thf('76',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27351]) ).
thf('77',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('78',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1755_102,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1739_103,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25194,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl188]) ).
thf(zip_derived_cl27704,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl25194]) ).
thf('79',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27704]) ).
thf('80',plain,
( ~ zip_tseitin_46
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl1738,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1730_104,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl154_105,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25075,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl154]) ).
thf(zip_derived_cl27586,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl25075]) ).
thf('81',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27586]) ).
thf(zip_derived_cl1734,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1730_106,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25074,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl152]) ).
thf(zip_derived_cl27580,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl25074]) ).
thf('82',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27580]) ).
thf(zip_derived_cl1749,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2220_107,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
<= ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl28236,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl2220]) ).
thf(zip_derived_cl1716_108,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24931,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl146]) ).
thf(zip_derived_cl48069,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28236,zip_derived_cl24931]) ).
thf('83',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48069]) ).
thf(zip_derived_cl1716_109,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2270_110,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl28370,plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl2270]) ).
thf(zip_derived_cl1716_111,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl28373,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28370,zip_derived_cl1716]) ).
thf('84',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28373]) ).
thf(zip_derived_cl1720,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24931_112,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl146]) ).
thf(zip_derived_cl27279,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl24931]) ).
thf('85',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27279]) ).
thf(zip_derived_cl1716_113,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1712,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24887,plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl144]) ).
thf(zip_derived_cl27169,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl24887]) ).
thf('86',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27169]) ).
thf(zip_derived_cl1757_114,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1749_115,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25305,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl160]) ).
thf(zip_derived_cl27837,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1757,zip_derived_cl25305]) ).
thf('87',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27837]) ).
thf(zip_derived_cl1749_116,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1733_117,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25114,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1733,zip_derived_cl176]) ).
thf(zip_derived_cl27628,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl25114]) ).
thf('88',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27628]) ).
thf(zip_derived_cl1752_118,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1744_119,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157_120,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25253,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl157]) ).
thf(zip_derived_cl27766,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl25253]) ).
thf('89',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27766]) ).
thf(zip_derived_cl1744_121,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1742,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25256,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1744,zip_derived_cl1742]) ).
thf(zip_derived_cl202_122,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('90',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25256,zip_derived_cl202]) ).
thf(zip_derived_cl1757_123,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1754_124,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25399,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1757,zip_derived_cl1754]) ).
thf(zip_derived_cl201_125,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('91',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25399,zip_derived_cl201]) ).
thf(zip_derived_cl1753,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1751_126,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25361,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1753,zip_derived_cl1751]) ).
thf(zip_derived_cl199_127,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('92',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25361,zip_derived_cl199]) ).
thf(zip_derived_cl1744_128,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1728_129,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170_130,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25054,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl170]) ).
thf(zip_derived_cl27531,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl25054]) ).
thf('93',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27531]) ).
thf(zip_derived_cl1743_131,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1735_132,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zf_stmt_17,axiom,
( zip_tseitin_55
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e23 ) )
!= e20 )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ) ).
thf(zip_derived_cl431,plain,
( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl2353,plain,
( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27220,plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2353,zip_derived_cl180]) ).
thf(zip_derived_cl28051,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl27220]) ).
thf(zip_derived_cl31759,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl28051]) ).
thf('94',plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31759]) ).
thf(zip_derived_cl1746_133,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1738_134,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zf_stmt_18,axiom,
( zip_tseitin_54
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e22 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e22 ) )
!= e20 )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ) ).
thf(zip_derived_cl426,plain,
( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl2343,plain,
( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl426]) ).
thf(zip_derived_cl155_135,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27191,plain,
( ( ( op2 @ e22 @ e20 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2343,zip_derived_cl155]) ).
thf(zip_derived_cl28028,plain,
( ( e20
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl27191]) ).
thf(zip_derived_cl31670,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl28028]) ).
thf('95',plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31670]) ).
thf(zf_stmt_19,axiom,
( zip_tseitin_50
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e22 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ) ).
thf(zip_derived_cl407,plain,
( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl2305,plain,
( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zip_derived_cl23184_136,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl27120,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2305,zip_derived_cl23184]) ).
thf(zip_derived_cl1738_137,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl27122,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27120,zip_derived_cl1738]) ).
thf(zip_derived_cl203_138,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('96',plain,
( ( ( op2 @ e22 @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27122,zip_derived_cl203]) ).
thf(zip_derived_cl1739_139,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1738_140,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25195,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1739,zip_derived_cl1738]) ).
thf(zip_derived_cl203_141,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('97',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25195,zip_derived_cl203]) ).
thf(zip_derived_cl1734_142,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1718_143,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180_144,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24956,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl180]) ).
thf(zip_derived_cl27345,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl24956]) ).
thf('98',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27345]) ).
thf(zf_stmt_20,axiom,
( zip_tseitin_59
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e23 ) )
!= e20 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ) ).
thf(zip_derived_cl448,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('99',plain,
( ~ zip_tseitin_59
| ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl448]) ).
thf(zip_derived_cl1743_145,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1729_146,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2386,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl448]) ).
thf(zip_derived_cl28593,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl2386]) ).
thf(zip_derived_cl33030,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
!= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl28593]) ).
thf('100',plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e23 ) )
= e21 )
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33030]) ).
thf(zf_stmt_21,axiom,
( zip_tseitin_52
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e20 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e20 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
!= e20 )
& ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ) ).
thf(zip_derived_cl415,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('101',plain,
( ~ zip_tseitin_52
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl415]) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_62
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e22 ) )
!= e20 )
& ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ) ).
thf(zip_derived_cl463,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('102',plain,
( ~ zip_tseitin_62
| ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl463]) ).
thf(zf_stmt_23,axiom,
( zip_tseitin_49
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e21 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e21 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ) ).
thf(zip_derived_cl400,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('103',plain,
( ~ zip_tseitin_49
| ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl400]) ).
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('104',plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
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_cl1769,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
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_cl1761,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25436,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1761,zip_derived_cl163]) ).
thf(zip_derived_cl27900,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl25436]) ).
thf('105',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27900]) ).
thf(zip_derived_cl1743_147,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1757_148,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2321,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl415]) ).
thf(zip_derived_cl28465,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1757,zip_derived_cl2321]) ).
thf(zip_derived_cl32441,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl28465]) ).
thf('106',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32441]) ).
thf(zip_derived_cl1743_149,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1717_150,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2416,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl463]) ).
thf(zip_derived_cl28652,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl2416]) ).
thf(zip_derived_cl33255,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
!= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl28652]) ).
thf('107',plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e22 ) )
= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33255]) ).
thf(zip_derived_cl1743_151,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl29391_152,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl2290,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl400]) ).
thf(zip_derived_cl29405,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29391,zip_derived_cl2290]) ).
thf(zip_derived_cl29511,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
!= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl29405]) ).
thf('108',plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29511]) ).
thf(zip_derived_cl1743_153,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1727_154,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170_155,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25044,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl170]) ).
thf(zip_derived_cl27511,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl25044]) ).
thf('109',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27511]) ).
thf(zf_stmt_24,axiom,
( zip_tseitin_51
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e23 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ) ).
thf(zip_derived_cl410,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('110',plain,
( ~ zip_tseitin_51
| ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl410]) ).
thf(zf_stmt_25,axiom,
( zip_tseitin_57
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e21 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ) ).
thf(zip_derived_cl439,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('111',plain,
( ~ zip_tseitin_57
| ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl439]) ).
thf(zip_derived_cl1755_156,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1734_157,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2368,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl439]) ).
thf(zip_derived_cl28557,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl2368]) ).
thf(zip_derived_cl32886,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl28557]) ).
thf('112',plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32886]) ).
thf(zf_stmt_26,axiom,
( zip_tseitin_60
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e20 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) ) ) ) ).
thf(zip_derived_cl453,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('113',plain,
( ~ zip_tseitin_60
| ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl453]) ).
thf('114',plain,
( ~ zip_tseitin_55
| ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zf_stmt_27,axiom,
( zip_tseitin_61
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ) ).
thf(zip_derived_cl460,plain,
( ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('115',plain,
( ~ zip_tseitin_61
| ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl460]) ).
thf(zip_derived_cl1755_158,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1722_159,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2396,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl453]) ).
thf(zip_derived_cl28609,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl2396]) ).
thf(zip_derived_cl33089,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
!= e21 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl28609]) ).
thf('116',plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e20 ) )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33089]) ).
thf(zip_derived_cl1741_160,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1738_161,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25219,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1741,zip_derived_cl1738]) ).
thf(zip_derived_cl201_162,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('117',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25219,zip_derived_cl201]) ).
thf(zip_derived_cl1745_163,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl450,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl2391,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl450]) ).
thf(zip_derived_cl1717_164,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl27310,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2391,zip_derived_cl1717]) ).
thf(zip_derived_cl170_165,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl43814,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27310,zip_derived_cl170]) ).
thf(zip_derived_cl44007,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl43814]) ).
thf('118',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44007]) ).
thf(zip_derived_cl1745_166,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2353_167,plain,
( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl183,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl29391_168,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29393,plain,
( e23
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl29391]) ).
thf(zip_derived_cl29503,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2353,zip_derived_cl29393]) ).
thf(zip_derived_cl29528,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl29503]) ).
thf('119',plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29528]) ).
thf(zip_derived_cl424,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('120',plain,
( ~ zip_tseitin_54
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl424]) ).
thf(zip_derived_cl1755_169,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1746_170,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2339,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl424]) ).
thf(zip_derived_cl28494,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl2339]) ).
thf(zip_derived_cl32588,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e21 )
& ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl28494]) ).
thf('121',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32588]) ).
thf(zip_derived_cl1755_171,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl27120_172,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2305,zip_derived_cl23184]) ).
thf(zip_derived_cl188_173,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27121,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl188]) ).
thf(zip_derived_cl27928,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl27121]) ).
thf('122',plain,
( ( ( op2 @ e22 @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27928]) ).
thf(zip_derived_cl402,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl2295,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl1755_174,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl27093,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2295,zip_derived_cl1755]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23184_175,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23186,plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl23184]) ).
thf('123',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27093,zip_derived_cl23186]) ).
thf(zip_derived_cl1757_176,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1755_177,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25400,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1757,zip_derived_cl1755]) ).
thf(zip_derived_cl199_178,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('124',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25400,zip_derived_cl199]) ).
thf(zip_derived_cl1755_179,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl412,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf(zip_derived_cl2315,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zip_derived_cl1722_180,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl27144,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2315,zip_derived_cl1722]) ).
thf(zip_derived_cl2310,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl410]) ).
thf(zip_derived_cl40530,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27144,zip_derived_cl2310]) ).
thf(zip_derived_cl40602,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
!= e21 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl40530]) ).
thf('125',plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e23 ) )
= e21 )
| ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40602]) ).
thf(zf_stmt_28,axiom,
( zip_tseitin_63
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e23 ) )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= ( op2 @ e23 @ e23 ) ) ) ) ).
thf(zip_derived_cl467,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('126',plain,
( ~ zip_tseitin_63
| ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl467]) ).
thf(zf_stmt_29,axiom,
( zip_tseitin_53
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e21 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e21 ) )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ) ).
thf(zip_derived_cl418,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('127',plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
| ~ zip_tseitin_53 ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl1732,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1712_181,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2424,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl467]) ).
thf(zip_derived_cl28663,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl2424]) ).
thf(zip_derived_cl33272,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl28663]) ).
thf('128',plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
= e22 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33272]) ).
thf(zip_derived_cl1717_182,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1752_183,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2327,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl28475,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl2327]) ).
thf(zip_derived_cl32476,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl28475]) ).
thf('129',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
= e23 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32476]) ).
thf('130',plain,
( ~ zip_tseitin_36
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zip_derived_cl372,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('131',plain,
( ~ zip_tseitin_40
| ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl372]) ).
thf(zip_derived_cl1734_184,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1757_185,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2208_186,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zip_derived_cl28208,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1757,zip_derived_cl2208]) ).
thf(zip_derived_cl180_187,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl47372,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28208,zip_derived_cl180]) ).
thf(zip_derived_cl47670,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl47372]) ).
thf('132',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47670]) ).
thf('133',plain,
( ~ zip_tseitin_43
| ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zip_derived_cl1734_188,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1739_189,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2234,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl372]) ).
thf(zip_derived_cl28260,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl2234]) ).
thf(zip_derived_cl32129,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl28260]) ).
thf('134',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32129]) ).
thf('135',plain,
( ~ zip_tseitin_39
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl1729_190,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2252_191,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zip_derived_cl28322,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl2252]) ).
thf(zip_derived_cl1729_192,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl28323,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28322,zip_derived_cl1729]) ).
thf('136',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28323]) ).
thf(zip_derived_cl1744_193,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2226_194,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
thf(zip_derived_cl28270,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1744,zip_derived_cl2226]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl29391_195,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29394,plain,
( e23
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl29391]) ).
thf('137',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28270,zip_derived_cl29394]) ).
thf(zip_derived_cl1735_196,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1734_197,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25142,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1735,zip_derived_cl1734]) ).
thf(zip_derived_cl203_198,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('138',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25142,zip_derived_cl203]) ).
thf(zip_derived_cl29401_199,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29391,zip_derived_cl2190]) ).
thf(zip_derived_cl1722_200,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl70448,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29401,zip_derived_cl1722]) ).
thf(zip_derived_cl203_201,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('139',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70448,zip_derived_cl203]) ).
thf(zip_derived_cl1727_202,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1711,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24879,plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl168]) ).
thf(zip_derived_cl27159,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl24879]) ).
thf('140',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27159]) ).
thf(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('141',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1758,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1710,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24873,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl171]) ).
thf(zip_derived_cl27117,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1758,zip_derived_cl24873]) ).
thf('142',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27117]) ).
thf(zip_derived_cl388,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('143',plain,
( ~ zip_tseitin_46
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl364,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('144',plain,
( ~ zip_tseitin_38
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl364]) ).
thf(zip_derived_cl1717_203,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2267,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 )
<= ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl28364,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl2267]) ).
thf(zip_derived_cl1717_204,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl28367,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28364,zip_derived_cl1717]) ).
thf('145',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28367]) ).
thf(zip_derived_cl1725,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1717_205,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
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_cl24943,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl148]) ).
thf(zip_derived_cl27324,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl24943]) ).
thf('146',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27324]) ).
thf(zip_derived_cl1717_206,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1713_207,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl144_208,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24900,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl144]) ).
thf(zip_derived_cl27207,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl24900]) ).
thf('147',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27207]) ).
thf(zip_derived_cl1746_209,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2219,plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 )
<= ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl364]) ).
thf(zip_derived_cl28217,plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl2219]) ).
thf(zip_derived_cl23184_210,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl28220,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28217,zip_derived_cl23184]) ).
thf('148',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28220]) ).
thf(zip_derived_cl1716_211,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1714,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24935,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1716,zip_derived_cl1714]) ).
thf(zip_derived_cl202_212,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('149',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24935,zip_derived_cl202]) ).
thf(zip_derived_cl1747,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23184_213,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23189,plain,
( e21
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl23184]) ).
thf(zip_derived_cl26742,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1747,zip_derived_cl23189]) ).
thf('150',plain,
( ( op2 @ e21 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26742]) ).
thf(zip_derived_cl466,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('151',plain,
( ~ zip_tseitin_63
| ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl466]) ).
thf('152',plain,
( ~ zip_tseitin_50
| ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zf_stmt_30,axiom,
( zip_tseitin_56
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e20 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
!= e20 )
& ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ) ).
thf(zip_derived_cl436,plain,
( ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('153',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl436]) ).
thf(zip_derived_cl1713_214,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e12 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e10 )
= e23 ) ) ).
thf(zip_derived_cl492,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24906,plain,
( ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl492]) ).
thf(zip_derived_cl1713_215,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24910,plain,
( ( ( h4 @ e11 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl24906,zip_derived_cl1713]) ).
thf(zf_stmt_31,axiom,
( zip_tseitin_47
=> ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= e23 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 ) ) ) ).
thf(zip_derived_cl393,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl2276,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf(zip_derived_cl492_216,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl28392,plain,
( ( ( h4 @ e11 )
!= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2276,zip_derived_cl492]) ).
thf(zip_derived_cl28680,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl28392]) ).
thf('154',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28680]) ).
thf(zip_derived_cl1729_217,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1713_218,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl168_219,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24903,plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl168]) ).
thf(zip_derived_cl27241,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl24903]) ).
thf('155',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27241]) ).
thf(zip_derived_cl1755_220,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1723_221,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl187_222,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25006,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl187]) ).
thf(zip_derived_cl27446,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl25006]) ).
thf('156',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27446]) ).
thf(zip_derived_cl27120_223,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2305,zip_derived_cl23184]) ).
thf(zip_derived_cl1723_224,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
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_cl25005,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl186]) ).
thf(zip_derived_cl27442,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl25005]) ).
thf('157',plain,
( ( ( op2 @ e22 @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27442]) ).
thf(zip_derived_cl2315_225,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zip_derived_cl1723_226,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl27145,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2315,zip_derived_cl1723]) ).
thf(zip_derived_cl23185_227,plain,
( e21
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl23184]) ).
thf('158',plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27145,zip_derived_cl23185]) ).
thf(zip_derived_cl1725_228,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1723_229,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25028,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1725,zip_derived_cl1723]) ).
thf(zip_derived_cl199_230,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('159',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25028,zip_derived_cl199]) ).
thf(zip_derived_cl1720_231,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1712_232,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl145,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24888,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl145]) ).
thf(zip_derived_cl27178,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl24888]) ).
thf('160',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27178]) ).
thf('161',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_cl28339_233,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1727,zip_derived_cl2250]) ).
thf(zip_derived_cl1745_234,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
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_cl25264,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl156]) ).
thf(zip_derived_cl52679,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28339,zip_derived_cl25264]) ).
thf('162',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl52679]) ).
thf(zf_stmt_32,axiom,
( zip_tseitin_41
=> ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ) ) ).
thf(zip_derived_cl373,plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('163',plain,
( ~ zip_tseitin_41
| ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl1736_235,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2237,plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 )
<= ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl28279,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1736,zip_derived_cl2237]) ).
thf(zip_derived_cl1736_236,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl28282,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28279,zip_derived_cl1736]) ).
thf('164',plain,
( ( ( op2 @ ( op2 @ e22 @ e21 ) @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28282]) ).
thf(zip_derived_cl1736_237,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1734_238,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25155,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1736,zip_derived_cl1734]) ).
thf(zip_derived_cl202_239,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('165',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25155,zip_derived_cl202]) ).
thf(zip_derived_cl1733_240,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1729_241,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
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_cl25063,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl150]) ).
thf(zip_derived_cl27546,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1733,zip_derived_cl25063]) ).
thf('166',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27546]) ).
thf(zip_derived_cl1752_242,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1748_243,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
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_cl25293,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl158]) ).
thf(zip_derived_cl27816,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl25293]) ).
thf('167',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27816]) ).
thf('168',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1731,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23184_244,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23188,plain,
( e21
!= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl23184]) ).
thf(zip_derived_cl26726,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1731,zip_derived_cl23188]) ).
thf('169',plain,
( ( op2 @ e22 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26726]) ).
thf(zip_derived_cl367,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('170',plain,
( ~ zip_tseitin_39
| ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf('171',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('172',plain,
( ~ zip_tseitin_38
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl1743_245,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2225,plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 )
<= ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf(zip_derived_cl28239,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl2225]) ).
thf(zip_derived_cl1743_246,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl28242,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28239,zip_derived_cl1743]) ).
thf('173',plain,
( ( ( op2 @ ( op2 @ e21 @ e23 ) @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28242]) ).
thf(zip_derived_cl28273_247,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1739,zip_derived_cl2232]) ).
thf(zip_derived_cl1714_248,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
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_cl24921,plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl175]) ).
thf(zip_derived_cl50508,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28273,zip_derived_cl24921]) ).
thf('174',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50508]) ).
thf('175',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl28236_249,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl2220]) ).
thf(zip_derived_cl24888_250,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl145]) ).
thf(zip_derived_cl48067,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28236,zip_derived_cl24888]) ).
thf('176',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48067]) ).
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('177',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1732_251,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1731_252,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25102,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1732,zip_derived_cl1731]) ).
thf(zip_derived_cl200_253,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('178',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25102,zip_derived_cl200]) ).
thf(zip_derived_cl1729_254,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1727_255,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25069,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1729,zip_derived_cl1727]) ).
thf(zip_derived_cl199_256,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('179',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25069,zip_derived_cl199]) ).
thf(zip_derived_cl1744_257,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1712_258,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169_259,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24891,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl169]) ).
thf(zip_derived_cl27188,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl24891]) ).
thf('180',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27188]) ).
thf(zip_derived_cl1728_260,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1712_261,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl168_262,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24890,plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl168]) ).
thf(zip_derived_cl27183,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl24890]) ).
thf('181',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27183]) ).
thf(zip_derived_cl387,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('182',plain,
( ~ zip_tseitin_45
| ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl1719_263,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2264,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl28356,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl2264]) ).
thf(zip_derived_cl1719_264,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl28360,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28356,zip_derived_cl1719]) ).
thf('183',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e21 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28360]) ).
thf(zip_derived_cl1751_265,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1719_266,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181_267,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24964,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl181]) ).
thf(zip_derived_cl27377,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl24964]) ).
thf('184',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27377]) ).
thf(zip_derived_cl1735_268,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1719_269,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180_270,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24963,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl180]) ).
thf(zip_derived_cl27371,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl24963]) ).
thf('185',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27371]) ).
thf(zip_derived_cl1723_271,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24962_272,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl149]) ).
thf(zip_derived_cl27360,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl24962]) ).
thf('186',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27360]) ).
thf('187',plain,
( ~ zip_tseitin_40
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl1739_273,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1734_274,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl375,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl2240,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl28284,plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl2240]) ).
thf(zip_derived_cl32191,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl28284]) ).
thf('188',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32191]) ).
thf(zip_derived_cl1754_275,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl28273_276,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1739,zip_derived_cl2232]) ).
thf(zip_derived_cl160_277,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl50497,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28273,zip_derived_cl160]) ).
thf(zip_derived_cl50805,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl50497]) ).
thf('189',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50805]) ).
thf(zip_derived_cl360,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('190',plain,
( ~ zip_tseitin_36
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl1754_278,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2210,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl28196,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl2210]) ).
thf(zip_derived_cl1754_279,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl28200,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28196,zip_derived_cl1754]) ).
thf('191',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28200]) ).
thf(zip_derived_cl1745_280,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl369,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl2228,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl28247,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl2228]) ).
thf(zip_derived_cl1745_281,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl28248,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28247,zip_derived_cl1745]) ).
thf('192',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28248]) ).
thf('193',plain,
( ~ zip_tseitin_43
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl379]) ).
thf(zip_derived_cl1728_282,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2249_283,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl379]) ).
thf(zip_derived_cl28315,plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl2249]) ).
thf(zip_derived_cl1728_284,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl28317,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28315,zip_derived_cl1728]) ).
thf('194',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28317]) ).
thf(zip_derived_cl1748_285,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl366,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl2222,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl28223,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl2222]) ).
thf(zip_derived_cl1748_286,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl28225,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28223,zip_derived_cl1748]) ).
thf('195',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28225]) ).
thf(zip_derived_cl75,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('196',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl1740,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl476_287,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23181,plain,
( e22
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl476]) ).
thf(zip_derived_cl26649,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1740,zip_derived_cl23181]) ).
thf('197',plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl26649]) ).
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('198',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
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_cl1764,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl23184_288,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl25458,plain,
( ( e21 = e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1764,zip_derived_cl23184]) ).
thf(zip_derived_cl200_289,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('199',plain,
( ( op2 @ e20 @ e22 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25458,zip_derived_cl200]) ).
thf(zip_derived_cl1751_290,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1739_291,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl434,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl2358,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl434]) ).
thf(zip_derived_cl28535,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl2358]) ).
thf(zip_derived_cl32791,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl28535]) ).
thf('200',plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
= e21 )
| ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32791]) ).
thf(zip_derived_cl468,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('201',plain,
( ~ zip_tseitin_63
| ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl468]) ).
thf(zip_derived_cl405,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('202',plain,
( ~ zip_tseitin_50
| ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl405]) ).
thf(zip_derived_cl92,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('203',plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
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_cl1771,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl476_292,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25523,plain,
( ( e22 = e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1771,zip_derived_cl476]) ).
thf(zip_derived_cl200_293,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('204',plain,
( ( op2 @ e20 @ e20 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25523,zip_derived_cl200]) ).
thf(zip_derived_cl1751_294,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1711_295,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2426,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl468]) ).
thf(zip_derived_cl28666,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl2426]) ).
thf(zip_derived_cl33304,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl28666]) ).
thf('205',plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e23 ) )
= e21 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33304]) ).
thf(zip_derived_cl1751_296,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2300,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl405]) ).
thf(zip_derived_cl23184_297,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl28435,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2300,zip_derived_cl23184]) ).
thf(zip_derived_cl28437,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl28435]) ).
thf('206',plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e22 ) )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28437]) ).
thf('207',plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1769_298,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1753_299,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl185_300,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25358,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1753,zip_derived_cl185]) ).
thf(zip_derived_cl27883,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl25358]) ).
thf('208',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27883]) ).
thf(zf_stmt_33,axiom,
( zip_tseitin_32
=> ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= e20 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= e20 ) ) ) ).
thf(zip_derived_cl347,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('209',plain,
( ~ zip_tseitin_32
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl346,plain,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= e20 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('210',plain,
( ~ zip_tseitin_32
| ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl346]) ).
thf(zip_derived_cl392,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('211',plain,
( ~ zip_tseitin_47
| ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl392]) ).
thf(zip_derived_cl391,plain,
( ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= e23 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('212',plain,
( ~ zip_tseitin_47
| ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zf_stmt_34,axiom,
( zip_tseitin_42
=> ( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= e22 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 ) ) ) ).
thf(zip_derived_cl377,plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('213',plain,
( ~ zip_tseitin_42
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl377]) ).
thf(zip_derived_cl376,plain,
( ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= e22 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('214',plain,
( ~ zip_tseitin_42
| ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zf_stmt_35,axiom,
( zip_tseitin_34
=> ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e22 )
!= e20 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
!= e22 ) ) ) ).
thf(zip_derived_cl353,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl2196,plain,
( ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zip_derived_cl23184_301,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl28176,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2196,zip_derived_cl23184]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl476_302,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23182,plain,
( e22
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl476]) ).
thf('215',plain,
( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28176,zip_derived_cl23182]) ).
thf('216',plain,
( ~ zip_tseitin_34
| ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zf_stmt_36,axiom,
( zip_tseitin_37
=> ( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= e21 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 ) ) ) ).
thf(zip_derived_cl362,plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('217',plain,
( ~ zip_tseitin_37
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl362]) ).
thf(zip_derived_cl361,plain,
( ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= e21 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('218',plain,
( ~ zip_tseitin_37
| ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
thf(zip_derived_cl1758_303,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zf_stmt_37,axiom,
( zip_tseitin_35
=> ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= e23 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
!= e23 ) ) ) ).
thf(zip_derived_cl355,plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl2201,plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 )
<= ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zip_derived_cl28180,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1758,zip_derived_cl2201]) ).
thf(zip_derived_cl1758_304,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl28182,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28180,zip_derived_cl1758]) ).
thf('219',plain,
( ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28182]) ).
thf('220',plain,
( ~ zip_tseitin_35
| ( ( op2 @ ( op2 @ e20 @ e23 ) @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zip_derived_cl370,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('221',plain,
( ~ zip_tseitin_40
| ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
thf('222',plain,
( ~ zip_tseitin_41
| ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl1738_305,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2231,plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 )
<= ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
thf(zip_derived_cl28250,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl2231]) ).
thf(zip_derived_cl476_306,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl28255,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28250,zip_derived_cl476]) ).
thf('223',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28255]) ).
thf('224',plain,
( ~ zip_tseitin_36
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl1735_307,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2240_308,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl28285,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl2240]) ).
thf(zip_derived_cl1735_309,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl28289,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28285,zip_derived_cl1735]) ).
thf('225',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28289]) ).
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('226',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl1755_310,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2207_311,plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
<= ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl28190,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl2207]) ).
thf(zip_derived_cl1755_312,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl28194,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28190,zip_derived_cl1755]) ).
thf('227',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28194]) ).
thf(zip_derived_cl1750_313,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1734_314,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182_315,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25130,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl182]) ).
thf(zip_derived_cl27635,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl25130]) ).
thf('228',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27635]) ).
thf(zip_derived_cl1745_316,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1744_317,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25270,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1745,zip_derived_cl1744]) ).
thf(zip_derived_cl198_318,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('229',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25270,zip_derived_cl198]) ).
thf(zip_derived_cl1745_319,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1743_320,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25269,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1745,zip_derived_cl1743]) ).
thf(zip_derived_cl199_321,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('230',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25269,zip_derived_cl199]) ).
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('231',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl1753_322,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1750_323,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25360,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1753,zip_derived_cl1750]) ).
thf(zip_derived_cl201_324,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('232',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25360,zip_derived_cl201]) ).
thf(zip_derived_cl1748_325,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1747_326,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25296,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1748,zip_derived_cl1747]) ).
thf(zip_derived_cl200_327,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('233',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25296,zip_derived_cl200]) ).
thf('234',plain,
( ~ zip_tseitin_39
| ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf('235',plain,
( ~ zip_tseitin_38
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf('236',plain,
( ~ zip_tseitin_43
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl1749_328,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1744_329,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2228_330,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl28246,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl2228]) ).
thf(zip_derived_cl32118,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl28246]) ).
thf('237',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32118]) ).
thf(zip_derived_cl1744_331,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1749_332,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2222_333,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl28224,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl2222]) ).
thf(zip_derived_cl32084,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl28224]) ).
thf('238',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32084]) ).
thf(zip_derived_cl1749_334,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1729_335,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2250_336,plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
<= ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl28341,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1729,zip_derived_cl2250]) ).
thf(zip_derived_cl175_337,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl56032,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28341,zip_derived_cl175]) ).
thf(zip_derived_cl56567,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl56032]) ).
thf('239',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl56567]) ).
thf(zip_derived_cl1749_338,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1729_339,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2391_340,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl450]) ).
thf(zip_derived_cl175_341,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27307,plain,
( ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2391,zip_derived_cl175]) ).
thf(zip_derived_cl28081,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl27307]) ).
thf(zip_derived_cl31888,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl28081]) ).
thf('240',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31888]) ).
thf(zip_derived_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('241',plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1756,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1755_342,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25391,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1756,zip_derived_cl1755]) ).
thf(zip_derived_cl200_343,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('242',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25391,zip_derived_cl200]) ).
thf(zip_derived_cl1755_344,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1754_345,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25383,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1755,zip_derived_cl1754]) ).
thf(zip_derived_cl203_346,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('243',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25383,zip_derived_cl203]) ).
thf(zip_derived_cl1756_347,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1754_348,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25390,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1756,zip_derived_cl1754]) ).
thf(zip_derived_cl202_349,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('244',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25390,zip_derived_cl202]) ).
thf(zip_derived_cl1758_350,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1742_351,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25237,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1742,zip_derived_cl173]) ).
thf(zip_derived_cl27740,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1758,zip_derived_cl25237]) ).
thf('245',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27740]) ).
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('246',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1752_352,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1751_353,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25347,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1752,zip_derived_cl1751]) ).
thf(zip_derived_cl200_354,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('247',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25347,zip_derived_cl200]) ).
thf(zip_derived_cl1752_355,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1750_356,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25346,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1752,zip_derived_cl1750]) ).
thf(zip_derived_cl202_357,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('248',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25346,zip_derived_cl202]) ).
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('249',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
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('250',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('251',plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1720_358,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1718_359,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24976,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1720,zip_derived_cl1718]) ).
thf(zip_derived_cl202_360,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('252',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24976,zip_derived_cl202]) ).
thf(zip_derived_cl1751_361,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1750_362,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25331,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1751,zip_derived_cl1750]) ).
thf(zip_derived_cl203_363,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('253',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25331,zip_derived_cl203]) ).
thf(zip_derived_cl1737,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1736_364,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25172,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1737,zip_derived_cl1736]) ).
thf(zip_derived_cl198_365,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('254',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25172,zip_derived_cl198]) ).
thf(zip_derived_cl1737_366,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1735_367,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25171,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1737,zip_derived_cl1735]) ).
thf(zip_derived_cl199_368,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('255',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25171,zip_derived_cl199]) ).
thf(zip_derived_cl1737_369,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1734_370,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25170,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1737,zip_derived_cl1734]) ).
thf(zip_derived_cl201_371,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('256',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25170,zip_derived_cl201]) ).
thf(zip_derived_cl1719_372,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1718_373,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24966,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1719,zip_derived_cl1718]) ).
thf(zip_derived_cl203_374,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('257',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24966,zip_derived_cl203]) ).
thf('258',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e21 @ ( op2 @ e22 @ e20 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl434]) ).
thf('259',plain,
( ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
| ~ zip_tseitin_33 ),
inference(split,[status(esa)],[zip_derived_cl350]) ).
thf('260',plain,
( ~ zip_tseitin_51
| ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zip_derived_cl455,plain,
( ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('261',plain,
( ~ zip_tseitin_60
| ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl455]) ).
thf(zip_derived_cl461,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('262',plain,
( ~ zip_tseitin_62
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl461]) ).
thf(zip_derived_cl382,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('263',plain,
( ~ zip_tseitin_44
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
thf('264',plain,
( ~ zip_tseitin_45
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl29401_375,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29391,zip_derived_cl2190]) ).
thf(zip_derived_cl1725_376,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl70449,plain,
( ( e21 = e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29401,zip_derived_cl1725]) ).
thf(zip_derived_cl199_377,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('265',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70449,zip_derived_cl199]) ).
thf(zip_derived_cl2315_378,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zip_derived_cl1725_379,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl27146,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2315,zip_derived_cl1725]) ).
thf(zip_derived_cl163_380,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl29391_381,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29392,plain,
( e23
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl29391]) ).
thf('266',plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27146,zip_derived_cl29392]) ).
thf(zip_derived_cl1725_382,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1714_383,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2413,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl461]) ).
thf(zip_derived_cl28641,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl2413]) ).
thf(zip_derived_cl33203,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
!= e23 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl28641]) ).
thf('267',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33203]) ).
thf(zip_derived_cl2295_384,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl1725_385,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl187_386,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25026,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl187]) ).
thf(zip_derived_cl27464,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2295,zip_derived_cl25026]) ).
thf(zip_derived_cl29391_387,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl30703,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27464,zip_derived_cl29391]) ).
thf('268',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl30703]) ).
thf(zip_derived_cl1725_388,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2255,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl382]) ).
thf(zip_derived_cl28327,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl2255]) ).
thf(zip_derived_cl1725_389,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl28330,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28327,zip_derived_cl1725]) ).
thf('269',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28330]) ).
thf(zip_derived_cl1757_390,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25026_391,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl187]) ).
thf(zip_derived_cl27463,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1757,zip_derived_cl25026]) ).
thf('270',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27463]) ).
thf(zip_derived_cl1741_392,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1725_393,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186_394,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25025,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl186]) ).
thf(zip_derived_cl27452,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1741,zip_derived_cl25025]) ).
thf('271',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27452]) ).
thf(zip_derived_cl1720_395,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2262_396,plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
<= ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl28377,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1720,zip_derived_cl2262]) ).
thf(zip_derived_cl24879_397,plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl168]) ).
thf(zip_derived_cl57786,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28377,zip_derived_cl24879]) ).
thf('272',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57786]) ).
thf(zip_derived_cl1752_398,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1720_399,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181_400,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24974,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl181]) ).
thf(zip_derived_cl27395,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl24974]) ).
thf('273',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27395]) ).
thf(zip_derived_cl1736_401,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1720_402,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180_403,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24973,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl180]) ).
thf(zip_derived_cl27389,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1736,zip_derived_cl24973]) ).
thf('274',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27389]) ).
thf(zip_derived_cl1767,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl23186_404,plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl23184]) ).
thf(zip_derived_cl26694,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1767,zip_derived_cl23186]) ).
thf('275',plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26694]) ).
thf(zip_derived_cl1768,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl23179_405,plain,
( e22
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl476]) ).
thf(zip_derived_cl26620,plain,
( ( e22 != e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1768,zip_derived_cl23179]) ).
thf('276',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl26620]) ).
thf('277',plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1769_406,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1721,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl183_407,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24989,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl183]) ).
thf(zip_derived_cl27421,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl24989]) ).
thf('278',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27421]) ).
thf(zip_derived_cl1743_408,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1711_409,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169_410,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24880,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl169]) ).
thf(zip_derived_cl27164,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl24880]) ).
thf('279',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27164]) ).
thf(zip_derived_cl1723_411,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1711_412,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24878,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl147]) ).
thf(zip_derived_cl27139,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl24878]) ).
thf('280',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27139]) ).
thf(zip_derived_cl1719_413,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1711_414,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl145_415,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24877,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1711,zip_derived_cl145]) ).
thf(zip_derived_cl27134,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1719,zip_derived_cl24877]) ).
thf('281',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27134]) ).
thf(zf_stmt_38,type,
zip_tseitin_63: $o ).
thf(zf_stmt_39,type,
zip_tseitin_62: $o ).
thf(zf_stmt_40,type,
zip_tseitin_61: $o ).
thf(zf_stmt_41,type,
zip_tseitin_60: $o ).
thf(zf_stmt_42,type,
zip_tseitin_59: $o ).
thf(zf_stmt_43,type,
zip_tseitin_58: $o ).
thf(zf_stmt_44,axiom,
( zip_tseitin_58
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e22 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e22 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e22 ) )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ) ).
thf(zf_stmt_45,type,
zip_tseitin_57: $o ).
thf(zf_stmt_46,type,
zip_tseitin_56: $o ).
thf(zf_stmt_47,type,
zip_tseitin_55: $o ).
thf(zf_stmt_48,type,
zip_tseitin_54: $o ).
thf(zf_stmt_49,type,
zip_tseitin_53: $o ).
thf(zf_stmt_50,type,
zip_tseitin_52: $o ).
thf(zf_stmt_51,type,
zip_tseitin_51: $o ).
thf(zf_stmt_52,type,
zip_tseitin_50: $o ).
thf(zf_stmt_53,type,
zip_tseitin_49: $o ).
thf(zf_stmt_54,type,
zip_tseitin_48: $o ).
thf(zf_stmt_55,axiom,
( zip_tseitin_48
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e20 ) )
!= e23 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e20 ) )
!= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zf_stmt_56,type,
zip_tseitin_47: $o ).
thf(zf_stmt_57,type,
zip_tseitin_46: $o ).
thf(zf_stmt_58,type,
zip_tseitin_45: $o ).
thf(zf_stmt_59,type,
zip_tseitin_44: $o ).
thf(zf_stmt_60,type,
zip_tseitin_43: $o ).
thf(zf_stmt_61,type,
zip_tseitin_42: $o ).
thf(zf_stmt_62,type,
zip_tseitin_41: $o ).
thf(zf_stmt_63,type,
zip_tseitin_40: $o ).
thf(zf_stmt_64,type,
zip_tseitin_39: $o ).
thf(zf_stmt_65,type,
zip_tseitin_38: $o ).
thf(zf_stmt_66,type,
zip_tseitin_37: $o ).
thf(zf_stmt_67,type,
zip_tseitin_36: $o ).
thf(zf_stmt_68,type,
zip_tseitin_35: $o ).
thf(zf_stmt_69,type,
zip_tseitin_34: $o ).
thf(zf_stmt_70,type,
zip_tseitin_33: $o ).
thf(zf_stmt_71,type,
zip_tseitin_32: $o ).
thf(zf_stmt_72,axiom,
( ( zip_tseitin_63
| zip_tseitin_62
| zip_tseitin_61
| zip_tseitin_60
| zip_tseitin_59
| zip_tseitin_58
| zip_tseitin_57
| zip_tseitin_56
| zip_tseitin_55
| zip_tseitin_54
| zip_tseitin_53
| zip_tseitin_52
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_49
| zip_tseitin_48 )
& ( zip_tseitin_47
| zip_tseitin_46
| zip_tseitin_45
| zip_tseitin_44
| zip_tseitin_43
| zip_tseitin_42
| zip_tseitin_41
| zip_tseitin_40
| zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36
| zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32 ) ) ).
thf(zip_derived_cl471,plain,
( zip_tseitin_47
| zip_tseitin_46
| zip_tseitin_45
| zip_tseitin_44
| zip_tseitin_43
| zip_tseitin_42
| zip_tseitin_41
| zip_tseitin_40
| zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36
| zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_72]) ).
thf('282',plain,
( zip_tseitin_33
| zip_tseitin_41
| zip_tseitin_32
| zip_tseitin_47
| zip_tseitin_42
| zip_tseitin_34
| zip_tseitin_39
| zip_tseitin_46
| zip_tseitin_38
| zip_tseitin_44
| zip_tseitin_45
| zip_tseitin_37
| zip_tseitin_43
| zip_tseitin_40
| zip_tseitin_35
| zip_tseitin_36 ),
inference(split,[status(esa)],[zip_derived_cl471]) ).
thf('283',plain,
( ~ zip_tseitin_46
| ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl1714_416,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2268_417,plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
<= ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl28381,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl2268]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl476_418,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23177,plain,
( e22
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl476]) ).
thf('284',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28381,zip_derived_cl23177]) ).
thf(zip_derived_cl1718_419,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1714_420,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146_421,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24918,plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl146]) ).
thf(zip_derived_cl27251,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl24918]) ).
thf('285',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27251]) ).
thf('286',plain,
( ~ zip_tseitin_49
| ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl1713_422,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1712_423,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24909,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl1712]) ).
thf(zip_derived_cl198_424,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('287',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24909,zip_derived_cl198]) ).
thf(zip_derived_cl1713_425,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1711_426,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24908,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl1711]) ).
thf(zip_derived_cl199_427,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('288',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24908,zip_derived_cl199]) ).
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('289',plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
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('290',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
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('291',plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl1721_428,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1720_429,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24992,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1720]) ).
thf(zip_derived_cl198_430,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('292',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24992,zip_derived_cl198]) ).
thf(zip_derived_cl1721_431,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1719_432,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24991,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1721,zip_derived_cl1719]) ).
thf(zip_derived_cl199_433,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('293',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24991,zip_derived_cl199]) ).
thf(zip_derived_cl1712_434,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1711_435,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24895,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1712,zip_derived_cl1711]) ).
thf(zip_derived_cl200_436,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('294',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24895,zip_derived_cl200]) ).
thf(zip_derived_cl1725_437,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1722_438,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25027,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1725,zip_derived_cl1722]) ).
thf(zip_derived_cl201_439,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('295',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25027,zip_derived_cl201]) ).
thf(zip_derived_cl1724,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1722_440,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25016,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1724,zip_derived_cl1722]) ).
thf(zip_derived_cl202_441,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('296',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25016,zip_derived_cl202]) ).
thf(zip_derived_cl1723_442,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1722_443,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25007,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl1722]) ).
thf(zip_derived_cl203_444,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('297',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25007,zip_derived_cl203]) ).
thf(zip_derived_cl1720_445,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1719_446,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl24977,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1720,zip_derived_cl1719]) ).
thf(zip_derived_cl200_447,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('298',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24977,zip_derived_cl200]) ).
thf(zip_derived_cl1715,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
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_cl23184_448,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23187,plain,
( e21
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl23184]) ).
thf(zip_derived_cl26713,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl23187]) ).
thf('299',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26713]) ).
thf(zip_derived_cl1749_449,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1717_450,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175_451,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24945,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl175]) ).
thf(zip_derived_cl27333,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl24945]) ).
thf('300',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27333]) ).
thf(zip_derived_cl1749_452,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1746_453,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25306,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl1746]) ).
thf(zip_derived_cl201_454,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('301',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25306,zip_derived_cl201]) ).
thf('302',plain,
( ~ zip_tseitin_59
| ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl450]) ).
thf(zip_derived_cl465,plain,
( ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('303',plain,
( ~ zip_tseitin_62
| ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl465]) ).
thf(zip_derived_cl428,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('304',plain,
( ~ zip_tseitin_55
| ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl428]) ).
thf(zip_derived_cl420,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('305',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
| ~ zip_tseitin_53 ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl1727_455,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2391_456,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl450]) ).
thf(zip_derived_cl23187_457,plain,
( e21
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl23184]) ).
thf(zip_derived_cl27311,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2391,zip_derived_cl23187]) ).
thf(zip_derived_cl27936,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl27311]) ).
thf('306',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27936]) ).
thf(zip_derived_cl1732_458,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1744_459,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2346,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl428]) ).
thf(zip_derived_cl28509,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl2346]) ).
thf(zip_derived_cl32663,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl28509]) ).
thf('307',plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e23 ) )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32663]) ).
thf(zip_derived_cl417,plain,
( ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('308',plain,
( ~ zip_tseitin_52
| ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf('309',plain,
( ~ zip_tseitin_54
| ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl426]) ).
thf(zip_derived_cl441,plain,
( ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('310',plain,
( ~ zip_tseitin_57
| ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl441]) ).
thf(zip_derived_cl1751_460,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e10 )
= e21 ) ) ).
thf(zip_derived_cl484,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl25330,plain,
( ( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1751,zip_derived_cl484]) ).
thf(zip_derived_cl1751_461,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl25336,plain,
( ( ( h2 @ e11 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl25330,zip_derived_cl1751]) ).
thf(zip_derived_cl363,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf(zip_derived_cl2216,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl363]) ).
thf(zip_derived_cl484_462,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl28216,plain,
( ( ( h2 @ e11 )
!= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2216,zip_derived_cl484]) ).
thf(zip_derived_cl28698,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25336,zip_derived_cl28216]) ).
thf('311',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28698]) ).
thf(zip_derived_cl457,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('312',plain,
( ~ zip_tseitin_61
| ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf('313',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl29391_463,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl1766,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl29399,plain,
( ( e23 = e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29391,zip_derived_cl1766]) ).
thf(zip_derived_cl201_464,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('314',plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29399,zip_derived_cl201]) ).
thf(zip_derived_cl1758_465,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1726_466,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25038,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1726,zip_derived_cl172]) ).
thf(zip_derived_cl27492,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1758,zip_derived_cl25038]) ).
thf('315',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27492]) ).
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('316',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
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('317',plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1773,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl476_467,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25534,plain,
( ( e22 = e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1773,zip_derived_cl476]) ).
thf(zip_derived_cl198_468,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('318',plain,
( ( op2 @ e20 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25534,zip_derived_cl198]) ).
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('319',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1770,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl476_469,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl25519,plain,
( ( e22 = e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1770,zip_derived_cl476]) ).
thf(zip_derived_cl202_470,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('320',plain,
( ( op2 @ e20 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25519,zip_derived_cl202]) ).
thf(zip_derived_cl1761_471,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1760,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25439,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1761,zip_derived_cl1760]) ).
thf(zip_derived_cl198_472,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('321',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25439,zip_derived_cl198]) ).
thf(zip_derived_cl1760_473,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1758_474,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl25429,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1760,zip_derived_cl1758]) ).
thf(zip_derived_cl202_475,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('322',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25429,zip_derived_cl202]) ).
thf(zip_derived_cl1769_476,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1766_477,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25502,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1769,zip_derived_cl1766]) ).
thf(zip_derived_cl201_478,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('323',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25502,zip_derived_cl201]) ).
thf(zip_derived_cl2295_479,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl25305_480,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl160]) ).
thf(zip_derived_cl27838,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2295,zip_derived_cl25305]) ).
thf(zip_derived_cl29391_481,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl31095,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27838,zip_derived_cl29391]) ).
thf('324',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl31095]) ).
thf(zip_derived_cl1749_482,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2343_483,plain,
( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl426]) ).
thf(zip_derived_cl29394_484,plain,
( e23
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl29391]) ).
thf(zip_derived_cl29518,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2343,zip_derived_cl29394]) ).
thf(zip_derived_cl29542,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl29518]) ).
thf('325',plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29542]) ).
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('326',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl85,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('327',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1749_485,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1748_486,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25308,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl1748]) ).
thf(zip_derived_cl198_487,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('328',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25308,zip_derived_cl198]) ).
thf(zip_derived_cl1749_488,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1747_489,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25307,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl1747]) ).
thf(zip_derived_cl199_490,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('329',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25307,zip_derived_cl199]) ).
thf(zip_derived_cl1744_491,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1743_492,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25257,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1744,zip_derived_cl1743]) ).
thf(zip_derived_cl200_493,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('330',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25257,zip_derived_cl200]) ).
thf(zip_derived_cl1756_494,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl23182_495,plain,
( e22
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl476]) ).
thf(zip_derived_cl26664,plain,
( ( e22 != e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1756,zip_derived_cl23182]) ).
thf('331',plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl26664]) ).
thf(zip_derived_cl1732_496,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1720_497,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2404,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl28626,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl2404]) ).
thf(zip_derived_cl33175,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
!= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl28626]) ).
thf('332',plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e21 ) )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33175]) ).
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('333',plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl1765,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl23184_498,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl25466,plain,
( ( e21 = e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1765,zip_derived_cl23184]) ).
thf(zip_derived_cl199_499,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('334',plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25466,zip_derived_cl199]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('335',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl23184_500,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl1762,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl25447,plain,
( ( e21 = e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23184,zip_derived_cl1762]) ).
thf(zip_derived_cl203_501,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('336',plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25447,zip_derived_cl203]) ).
thf(zip_derived_cl1717_502,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1714_503,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl24946,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1717,zip_derived_cl1714]) ).
thf(zip_derived_cl201_504,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('337',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24946,zip_derived_cl201]) ).
thf(zip_derived_cl443,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('338',plain,
( ~ zip_tseitin_58
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl443]) ).
thf(zip_derived_cl395,plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('339',plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
| ~ zip_tseitin_48 ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl1732_505,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(ax16,axiom,
( ( ( h3 @ e13 )
= ( op2 @ e22 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e10 )
= e22 ) ) ).
thf(zip_derived_cl488,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl25100,plain,
( ( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1732,zip_derived_cl488]) ).
thf(zip_derived_cl1732_506,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25107,plain,
( ( ( h3 @ e11 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl25100,zip_derived_cl1732]) ).
thf(zip_derived_cl378,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl2246,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl378]) ).
thf(zip_derived_cl488_507,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl28297,plain,
( ( ( h3 @ e11 )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2246,zip_derived_cl488]) ).
thf(zip_derived_cl28689,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25107,zip_derived_cl28297]) ).
thf('340',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28689]) ).
thf(zip_derived_cl1732_508,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2280,plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl476_509,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl28399,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2280,zip_derived_cl476]) ).
thf(zip_derived_cl28401,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl28399]) ).
thf('341',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ ( op2 @ e20 @ e20 ) )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28401]) ).
thf(zip_derived_cl1748_510,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1732_511,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176_512,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25099,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl176]) ).
thf(zip_derived_cl27608,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl25099]) ).
thf('342',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27608]) ).
thf(zip_derived_cl1736_513,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1732_514,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152_515,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25097,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl152]) ).
thf(zip_derived_cl27603,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1736,zip_derived_cl25097]) ).
thf('343',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27603]) ).
thf(zip_derived_cl1732_516,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1728_517,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150_518,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25051,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl150]) ).
thf(zip_derived_cl27516,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl25051]) ).
thf('344',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27516]) ).
thf(zip_derived_cl1732_519,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1716_520,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174_521,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24933,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl174]) ).
thf(zip_derived_cl27291,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1732,zip_derived_cl24933]) ).
thf('345',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27291]) ).
thf(zip_derived_cl1733_522,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1732_523,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25118,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1733,zip_derived_cl1732]) ).
thf(zip_derived_cl198_524,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('346',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25118,zip_derived_cl198]) ).
thf(zip_derived_cl1732_525,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1730_526,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25101,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1732,zip_derived_cl1730]) ).
thf(zip_derived_cl202_527,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('347',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25101,zip_derived_cl202]) ).
thf(zip_derived_cl470,plain,
( zip_tseitin_63
| zip_tseitin_62
| zip_tseitin_61
| zip_tseitin_60
| zip_tseitin_59
| zip_tseitin_58
| zip_tseitin_57
| zip_tseitin_56
| zip_tseitin_55
| zip_tseitin_54
| zip_tseitin_53
| zip_tseitin_52
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_49
| zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_72]) ).
thf('348',plain,
( zip_tseitin_48
| zip_tseitin_53
| zip_tseitin_60
| zip_tseitin_51
| zip_tseitin_56
| zip_tseitin_63
| zip_tseitin_61
| zip_tseitin_59
| zip_tseitin_52
| zip_tseitin_49
| zip_tseitin_58
| zip_tseitin_54
| zip_tseitin_55
| zip_tseitin_50
| zip_tseitin_57
| zip_tseitin_62 ),
inference(split,[status(esa)],[zip_derived_cl470]) ).
thf(zip_derived_cl1724_528,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
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_cl476_529,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23180,plain,
( e22
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl476]) ).
thf(zip_derived_cl26633,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl23180]) ).
thf('349',plain,
( ( op2 @ e23 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl26633]) ).
thf(zip_derived_cl1746_530,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl28345_531,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl2256]) ).
thf(zip_derived_cl156_532,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl56801,plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28345,zip_derived_cl156]) ).
thf(zip_derived_cl57006,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl56801]) ).
thf('350',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57006]) ).
thf(zip_derived_cl1725_533,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2256_534,plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
<= ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf(zip_derived_cl28346,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1725,zip_derived_cl2256]) ).
thf(zip_derived_cl1725_535,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2258_536,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl384]) ).
thf(zip_derived_cl28334,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1725,zip_derived_cl2258]) ).
thf(zip_derived_cl57082,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28346,zip_derived_cl28334]) ).
thf('351',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57082]) ).
thf(zip_derived_cl1722_537,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2258_538,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl384]) ).
thf(zip_derived_cl28332,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl2258]) ).
thf(zip_derived_cl1722_539,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl28336,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28332,zip_derived_cl1722]) ).
thf('352',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28336]) ).
thf('353',plain,
( ~ zip_tseitin_44
| ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf('354',plain,
( ~ zip_tseitin_44
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl384]) ).
thf('355',plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1754_540,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1746_541,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl160_542,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25280,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl160]) ).
thf(zip_derived_cl27809,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl25280]) ).
thf('356',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27809]) ).
thf(zip_derived_cl1750_543,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1746_544,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158_545,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25279,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl158]) ).
thf(zip_derived_cl27804,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl25279]) ).
thf('357',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27804]) ).
thf(zip_derived_cl1746_546,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1730_547,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176_548,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25076,plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl176]) ).
thf(zip_derived_cl27591,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl25076]) ).
thf('358',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27591]) ).
thf(zip_derived_cl1746_549,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl24921_550,plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl175]) ).
thf(zip_derived_cl27273,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl24921]) ).
thf('359',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27273]) ).
thf(zip_derived_cl1748_551,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1746_552,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl25295,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1748,zip_derived_cl1746]) ).
thf(zip_derived_cl202_553,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('360',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25295,zip_derived_cl202]) ).
thf(zip_derived_cl88,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('361',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf('362',plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf('363',plain,
( ( op2 @ e21 @ e22 )
= e22 ),
inference('sat_resolution*',[status(thm)],['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']) ).
thf('364',plain,
( ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl50562,'363']) ).
thf(zip_derived_cl1750_554,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl28208_555,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1757,zip_derived_cl2208]) ).
thf(zip_derived_cl181_556,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl47373,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28208,zip_derived_cl181]) ).
thf(zip_derived_cl47710,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl47373]) ).
thf('365',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47710]) ).
thf(zip_derived_cl1736_557,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1735_558,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25156,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1736,zip_derived_cl1735]) ).
thf(zip_derived_cl200_559,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('366',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25156,zip_derived_cl200]) ).
thf(zip_derived_cl1733_560,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1717_561,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174_562,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24944,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl174]) ).
thf(zip_derived_cl27329,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1733,zip_derived_cl24944]) ).
thf('367',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27329]) ).
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_73,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_cl534,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( 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,[status(esa)],[zf_stmt_73]) ).
thf('368',plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl534]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) )
& ( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e10 )
= e20 ) ) ).
thf(zip_derived_cl479,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl476_563,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23198,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl526,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( 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,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl3119,plain,
( ( ( h1 @ e12 )
!= e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl526]) ).
thf(zip_derived_cl23201,plain,
( ( e22 != e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23198,zip_derived_cl3119]) ).
thf('369',plain,
( ( h1 @ e12 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl23201]) ).
thf(zip_derived_cl1769_564,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl478,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl476_565,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23184_566,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23192,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl494,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( 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,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl2481,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23194,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23192,zip_derived_cl2481]) ).
thf(zip_derived_cl26112,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ e13 )
!= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl23194]) ).
thf('370',plain,
( ( ( h1 @ e13 )
= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26112]) ).
thf(zip_derived_cl480,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl476_567,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23184_568,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl23210,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl502,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( 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,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl2640,plain,
( ( ( h1 @ e11 )
!= e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl502]) ).
thf(zip_derived_cl23212,plain,
( ( e21 != e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23210,zip_derived_cl2640]) ).
thf('371',plain,
( ( h1 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl23212]) ).
thf(zip_derived_cl481,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2478,plain,
( ( ( h1 @ e10 )
!= e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl22945,plain,
( ( e20 != e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl2478]) ).
thf('372',plain,
( ( h1 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl22945]) ).
thf(zip_derived_cl1758_569,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf('373',plain,
( ( op2 @ e20 @ e23 )
= e20 ),
inference('sat_resolution*',[status(thm)],['320','336','314','319']) ).
thf(zip_derived_cl29442,plain,
( ( op2 @ e20 @ e23 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1758,'373']) ).
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_cl1566,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2465,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl481_570,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl23192_571,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28727,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ ( op2 @ e20 @ e21 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2465,zip_derived_cl481,zip_derived_cl23192]) ).
thf(zip_derived_cl28728,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ ( op2 @ e20 @ e21 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1566,zip_derived_cl28727]) ).
thf(zip_derived_cl481_572,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28730,plain,
( ( e20
!= ( op2 @ e20 @ ( op2 @ e20 @ e21 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28728,zip_derived_cl481]) ).
thf(zip_derived_cl29391_573,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29838,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28730,zip_derived_cl29391]) ).
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_cl1578,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl473_574,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24064,plain,
( ( e12 = e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1578,zip_derived_cl473]) ).
thf(zip_derived_cl196_575,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('374',plain,
( ( op1 @ e10 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24064,zip_derived_cl196]) ).
thf(zip_derived_cl23167_576,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
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_cl1570,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24010,plain,
( ( e11 = e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23167,zip_derived_cl1570]) ).
thf(zip_derived_cl197_577,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('375',plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24010,zip_derived_cl197]) ).
thf(zip_derived_cl29288_578,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
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_cl1574,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl29295,plain,
( ( e13 = e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1574]) ).
thf(zip_derived_cl195_579,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('376',plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29295,zip_derived_cl195]) ).
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('377',plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf('378',plain,
( ( op1 @ e10 @ e13 )
= e10 ),
inference('sat_resolution*',[status(thm)],['374','375','376','377']) ).
thf(zip_derived_cl29839,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl29838,'378']) ).
thf(zip_derived_cl71227,plain,
( ( e20 != e20 )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29442,zip_derived_cl29839]) ).
thf('379',plain,
( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl71227]) ).
thf(zip_derived_cl1577,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl2463,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl481_580,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl23210_581,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28719,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2463,zip_derived_cl481,zip_derived_cl23210]) ).
thf(zip_derived_cl28721,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl28719]) ).
thf(zip_derived_cl23192_582,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28723,plain,
( ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28721,zip_derived_cl23192]) ).
thf('380',plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28723]) ).
thf(zip_derived_cl2462,plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl473_583,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23198_584,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl481_585,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl481_586,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl476_587,plain,
( e22
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl28702,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2462,zip_derived_cl473,zip_derived_cl23198,zip_derived_cl481,zip_derived_cl481,zip_derived_cl476]) ).
thf('381',plain,
( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28702]) ).
thf(zip_derived_cl2464,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23167_588,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23210_589,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl481_590,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl23198_591,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl23184_592,plain,
( e21
= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl476]) ).
thf(zip_derived_cl28725,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2464,zip_derived_cl23167,zip_derived_cl23210,zip_derived_cl481,zip_derived_cl23198,zip_derived_cl23184]) ).
thf('382',plain,
( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28725]) ).
thf(zip_derived_cl1743_593,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1551_594,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl513,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e11 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( h1 @ e13 )
!= 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,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl2849,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl513]) ).
thf(zip_derived_cl23210_595,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl23192_596,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl29391_597,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl29398,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl29548,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl23210,zip_derived_cl29398]) ).
thf(zip_derived_cl29549,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl29548]) ).
thf(zip_derived_cl23210_598,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl29552,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29549,zip_derived_cl23210]) ).
thf(zip_derived_cl29702,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl29552]) ).
thf('383',plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29702]) ).
thf(zip_derived_cl1728_599,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1536_600,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2853,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl513]) ).
thf(zip_derived_cl23198_601,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl29398_602,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl29567,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2853,zip_derived_cl23198,zip_derived_cl29398]) ).
thf(zip_derived_cl29569,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl29567]) ).
thf(zip_derived_cl23198_603,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl29572,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29569,zip_derived_cl23198]) ).
thf(zip_derived_cl29742,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1728,zip_derived_cl29572]) ).
thf('384',plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29742]) ).
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('385',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl1759,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl23185_604,plain,
( e21
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl23184]) ).
thf(zip_derived_cl26680,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1759,zip_derived_cl23185]) ).
thf('386',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl26680]) ).
thf(zip_derived_cl1713_605,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1521_606,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl512,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e11 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( h1 @ e12 )
!= 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,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl2837,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl29398_607,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl29398_608,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl29504,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2837,zip_derived_cl29398,zip_derived_cl29398]) ).
thf(zip_derived_cl29507,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl29504]) ).
thf(zip_derived_cl29398_609,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl29510,plain,
( ( e23
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29507,zip_derived_cl29398]) ).
thf(zip_derived_cl29695,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1713,zip_derived_cl29510]) ).
thf('387',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29695]) ).
thf(zip_derived_cl1723_610,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1531_611,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2854,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl513]) ).
thf(zip_derived_cl29398_612,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl481_613,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29574,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2854,zip_derived_cl29398,zip_derived_cl481]) ).
thf(zip_derived_cl29576,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl29574]) ).
thf(zip_derived_cl23210_614,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl29580,plain,
( ( e21
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29576,zip_derived_cl23210]) ).
thf(zip_derived_cl29774,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl29580]) ).
thf('388',plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29774]) ).
thf(zip_derived_cl1735_615,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1543_616,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2471,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23198_617,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl23210_618,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28776,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2471,zip_derived_cl23198,zip_derived_cl23210]) ).
thf(zip_derived_cl28778,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl28776]) ).
thf(zip_derived_cl23210_619,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28783,plain,
( ( e21
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28778,zip_derived_cl23210]) ).
thf(zip_derived_cl29102,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl28783]) ).
thf('389',plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29102]) ).
thf(zip_derived_cl1735_620,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1727_621,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
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_cl25042,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl151]) ).
thf(zip_derived_cl27496,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1735,zip_derived_cl25042]) ).
thf('390',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27496]) ).
thf(zip_derived_cl1720_622,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1528_623,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2835,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl29398_624,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl23210_625,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl29471,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2835,zip_derived_cl29398,zip_derived_cl23210]) ).
thf(zip_derived_cl29474,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl29471]) ).
thf(zip_derived_cl23198_626,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl29478,plain,
( ( e22
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29474,zip_derived_cl23198]) ).
thf(zip_derived_cl29593,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl29478]) ).
thf('391',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29593]) ).
thf(zip_derived_cl1738_627,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zf_stmt_74,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 ) ) ) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_74]) ).
thf(zip_derived_cl1905,plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl473_628,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26440,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1905,zip_derived_cl473]) ).
thf(zip_derived_cl2470,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23198_629,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl481_630,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28765,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2470,zip_derived_cl23198,zip_derived_cl481]) ).
thf(zip_derived_cl28769,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26440,zip_derived_cl28765]) ).
thf(zip_derived_cl481_631,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28774,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28769,zip_derived_cl481]) ).
thf(zip_derived_cl29053,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl28774]) ).
thf('392',plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29053]) ).
thf(zip_derived_cl29391_632,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl1733_633,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1541,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2472,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23198_634,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl23198_635,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl28786,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2472,zip_derived_cl23198,zip_derived_cl23198]) ).
thf(zip_derived_cl28789,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl28786]) ).
thf(zip_derived_cl23192_636,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28792,plain,
( ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28789,zip_derived_cl23192]) ).
thf(zip_derived_cl29269,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1733,zip_derived_cl28792]) ).
thf(zip_derived_cl29429,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29391,zip_derived_cl29269]) ).
thf('393',plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29429]) ).
thf(zip_derived_cl1714_637,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1522,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl2836,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl29398_638,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23192,zip_derived_cl29391]) ).
thf(zip_derived_cl23198_639,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl29479,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2836,zip_derived_cl29398,zip_derived_cl23198]) ).
thf(zip_derived_cl29480,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl29479]) ).
thf(zip_derived_cl481_640,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29484,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29480,zip_derived_cl481]) ).
thf(zip_derived_cl29610,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl29484]) ).
thf('394',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29610]) ).
thf(zip_derived_cl1748_641,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1716_642,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175_643,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24934,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl175]) ).
thf(zip_derived_cl27295,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl24934]) ).
thf('395',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27295]) ).
thf(zip_derived_cl1730_644,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1714_645,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174_646,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24920,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl174]) ).
thf(zip_derived_cl27269,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl24920]) ).
thf('396',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27269]) ).
thf(zip_derived_cl1722_647,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1714_648,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148_649,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24919,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1714,zip_derived_cl148]) ).
thf(zip_derived_cl27264,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1722,zip_derived_cl24919]) ).
thf('397',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27264]) ).
thf(zip_derived_cl29391_650,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl23183,zip_derived_cl23184]) ).
thf(zip_derived_cl1757_651,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1565,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2466,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23210_652,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl481_653,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28732,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2466,zip_derived_cl23210,zip_derived_cl481]) ).
thf(zip_derived_cl28735,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl28732]) ).
thf(zip_derived_cl23192_654,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28739,plain,
( ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28735,zip_derived_cl23192]) ).
thf(zip_derived_cl29186,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1757,zip_derived_cl28739]) ).
thf(zip_derived_cl29422,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29391,zip_derived_cl29186]) ).
thf('398',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29422]) ).
thf(zip_derived_cl1754_655,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1750_656,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25317,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl161]) ).
thf(zip_derived_cl27840,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl25317]) ).
thf('399',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27840]) ).
thf(zip_derived_cl1748_657,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1556_658,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2468,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23210_659,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl23198_660,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl28749,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2468,zip_derived_cl23210,zip_derived_cl23198]) ).
thf(zip_derived_cl28751,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1556,zip_derived_cl28749]) ).
thf(zip_derived_cl23198_661,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl476]) ).
thf(zip_derived_cl28754,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28751,zip_derived_cl23198]) ).
thf(zip_derived_cl29008,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl28754]) ).
thf('400',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29008]) ).
thf('401',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45908,zip_derived_cl202]) ).
thf('402',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
!= e22 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl63434]) ).
thf('403',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27335]) ).
thf('404',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl52663,zip_derived_cl198]) ).
thf('405',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27673]) ).
thf('406',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24948,zip_derived_cl198]) ).
thf('407',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53226,zip_derived_cl201]) ).
thf('408',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57039]) ).
thf('409',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32229]) ).
thf('410',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27351]) ).
thf('411',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('412',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27704]) ).
thf('413',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27580]) ).
thf('414',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27169]) ).
thf('415',plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ e22 ) )
| ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31670]) ).
thf('416',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27345]) ).
thf('417',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32441]) ).
thf('418',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44007]) ).
thf('419',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32588]) ).
thf('420',plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27093,zip_derived_cl23186]) ).
thf('421',plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e23 ) )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33272]) ).
thf('422',plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e21 ) )
= e23 )
| ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32476]) ).
thf('423',plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e23 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28323]) ).
thf('424',plain,
( ( ( op2 @ ( op2 @ e23 @ e22 ) @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28367]) ).
thf('425',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27324]) ).
thf('426',plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('427',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl52679]) ).
thf('428',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25155,zip_derived_cl202]) ).
thf('429',plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('430',plain,
( ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48067]) ).
thf('431',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf('432',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27188]) ).
thf('433',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27377]) ).
thf('434',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28200]) ).
thf('435',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28248]) ).
thf('436',plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf('437',plain,
( ( ( op2 @ ( op2 @ e21 @ e20 ) @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28194]) ).
thf('438',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27635]) ).
thf('439',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25270,zip_derived_cl198]) ).
thf('440',plain,
( ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl56567]) ).
thf('441',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31888]) ).
thf('442',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25347,zip_derived_cl200]) ).
thf('443',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24966,zip_derived_cl203]) ).
thf('444',plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30703]) ).
thf('445',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28330]) ).
thf('446',plain,
( ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57786]) ).
thf('447',plain,
( zip_tseitin_44
| zip_tseitin_40
| zip_tseitin_32
| zip_tseitin_47
| zip_tseitin_42
| zip_tseitin_34
| zip_tseitin_39
| zip_tseitin_46
| zip_tseitin_38
| zip_tseitin_33
| zip_tseitin_36
| zip_tseitin_37
| zip_tseitin_43
| zip_tseitin_45
| zip_tseitin_35
| zip_tseitin_41 ),
inference(split,[status(esa)],[zip_derived_cl471]) ).
thf('448',plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('449',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24895,zip_derived_cl200]) ).
thf('450',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25027,zip_derived_cl201]) ).
thf('451',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27333]) ).
thf('452',plain,
( ~ zip_tseitin_53
| ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf('453',plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28698]) ).
thf('454',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf('455',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('456',plain,
( zip_tseitin_53
| zip_tseitin_48
| zip_tseitin_60
| zip_tseitin_51
| zip_tseitin_56
| zip_tseitin_63
| zip_tseitin_61
| zip_tseitin_59
| zip_tseitin_52
| zip_tseitin_49
| zip_tseitin_58
| zip_tseitin_54
| zip_tseitin_55
| zip_tseitin_50
| zip_tseitin_57
| zip_tseitin_62 ),
inference(split,[status(esa)],[zip_derived_cl470]) ).
thf('457',plain,
( ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl57082]) ).
thf('458',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27809]) ).
thf('459',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27591]) ).
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('460',plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1567,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23168_662,plain,
( e11
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl23167]) ).
thf(zip_derived_cl26523,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1567,zip_derived_cl23168]) ).
thf('461',plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26523]) ).
thf(zip_derived_cl29297_663,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl1519_664,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl99,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23346,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl99]) ).
thf(zip_derived_cl70356,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29297,zip_derived_cl23346]) ).
thf('462',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70356]) ).
thf(zip_derived_cl1750_665,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1558_666,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2467,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl23210_667,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl23210_668,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl476,zip_derived_cl23184]) ).
thf(zip_derived_cl28740,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2467,zip_derived_cl23210,zip_derived_cl23210]) ).
thf(zip_derived_cl28741,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl28740]) ).
thf(zip_derived_cl481_669,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28745,plain,
( ( e20
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28741,zip_derived_cl481]) ).
thf(zip_derived_cl28966,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl28745]) ).
thf('463',plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28966]) ).
thf(zip_derived_cl1543_670,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl27260_671,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1982]) ).
thf(zip_derived_cl103_672,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl42703,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27260,zip_derived_cl103]) ).
thf(zip_derived_cl43095,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl42703]) ).
thf('464',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43095]) ).
thf(zip_derived_cl1546_673,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_74]) ).
thf(zip_derived_cl1903,plain,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf(zip_derived_cl473_674,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26428,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1903,zip_derived_cl473]) ).
thf(zip_derived_cl26429,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl26428]) ).
thf('465',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26429]) ).
thf(zip_derived_cl1561,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1560_675,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23942,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl1560]) ).
thf(zip_derived_cl192_676,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('466',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23942,zip_derived_cl192]) ).
thf(zip_derived_cl1551_677,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1519_678,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23348,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl121]) ).
thf(zip_derived_cl26166,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl23348]) ).
thf('467',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26166]) ).
thf(zip_derived_cl1553_679,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1551_680,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23880,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1553,zip_derived_cl1551]) ).
thf(zip_derived_cl193_681,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('468',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23880,zip_derived_cl193]) ).
thf(zip_derived_cl1552_682,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1557_683,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1942,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl26732,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl1942]) ).
thf(zip_derived_cl30218,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl26732]) ).
thf('469',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30218]) ).
thf('470',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1553_684,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1519_685,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl265,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1993,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl27382,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl1993]) ).
thf(zip_derived_cl30642,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl27382]) ).
thf('471',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30642]) ).
thf(zip_derived_cl1556_686,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1940,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl26718,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl1940]) ).
thf(zip_derived_cl23644_687,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl103]) ).
thf(zip_derived_cl33973,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26718,zip_derived_cl23644]) ).
thf('472',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33973]) ).
thf(zip_derived_cl27405_688,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1995]) ).
thf(zf_stmt_75,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 ) ) ) ).
thf(zip_derived_cl241,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf(zip_derived_cl1945,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl44987,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27405,zip_derived_cl1945]) ).
thf(zip_derived_cl1519_689,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl45072,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44987,zip_derived_cl1519]) ).
thf('473',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
= e11 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl45072]) ).
thf(zip_derived_cl27405_690,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1995]) ).
thf(zip_derived_cl1552_691,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl44986,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27405,zip_derived_cl1552]) ).
thf(zip_derived_cl192_692,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('474',plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl44986,zip_derived_cl192]) ).
thf(zip_derived_cl1547_693,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl27260_694,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1982]) ).
thf(zip_derived_cl105_695,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl42704,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27260,zip_derived_cl105]) ).
thf(zip_derived_cl43187,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl42704]) ).
thf('475',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43187]) ).
thf(zip_derived_cl1559_696,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1551_697,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_cl23847,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl109]) ).
thf(zip_derived_cl26923,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl23847]) ).
thf('476',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26923]) ).
thf(zip_derived_cl1547_698,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl29297_699,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl138_700,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl70343,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29297,zip_derived_cl138]) ).
thf(zip_derived_cl70419,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl70343]) ).
thf('477',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70419]) ).
thf(zip_derived_cl26863_701,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1952]) ).
thf(zip_derived_cl1522_702,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23407,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl127]) ).
thf(zip_derived_cl34983,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26863,zip_derived_cl23407]) ).
thf('478',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34983]) ).
thf(zip_derived_cl1547_703,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1531_704,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138_705,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23550,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl138]) ).
thf(zip_derived_cl26389,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl23550]) ).
thf('479',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26389]) ).
thf(zip_derived_cl1549_706,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1547_707,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23830,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1547]) ).
thf(zip_derived_cl193_708,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('480',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23830,zip_derived_cl193]) ).
thf(zip_derived_cl1562,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1558_709,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_cl23913,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl113]) ).
thf(zip_derived_cl27045,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl23913]) ).
thf('481',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27045]) ).
thf(zip_derived_cl1537_710,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1520,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1993_711,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl27383,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl1993]) ).
thf(zip_derived_cl30652,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl27383]) ).
thf('482',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30652]) ).
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('483',plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1544_712,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1543_713,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23780,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl1543]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('484',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23780,zip_derived_cl194]) ).
thf(zip_derived_cl1544_714,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1542_715,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl23779,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl1542]) ).
thf(zip_derived_cl196_716,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('485',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23779,zip_derived_cl196]) ).
thf(zip_derived_cl1547_717,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1546_718,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23811,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1546]) ).
thf(zip_derived_cl197_719,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('486',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23811,zip_derived_cl197]) ).
thf(zip_derived_cl1536_720,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1970_721,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl27099,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl1970]) ).
thf(zip_derived_cl1536_722,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl255,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1972,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl27129,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl1972]) ).
thf(zip_derived_cl39766,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27099,zip_derived_cl27129]) ).
thf('487',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39766]) ).
thf(zip_derived_cl1537_723,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1972_724,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl27130,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl1972]) ).
thf(zip_derived_cl1537_725,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl27131,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27130,zip_derived_cl1537]) ).
thf('488',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27131]) ).
thf('489',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl27098_726,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl1970]) ).
thf(zip_derived_cl1541_727,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128_728,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23729,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl128]) ).
thf(zip_derived_cl39046,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27098,zip_derived_cl23729]) ).
thf('490',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39046]) ).
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('491',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1552_729,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1520_730,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121_731,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23368,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl121]) ).
thf(zip_derived_cl26197,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl23368]) ).
thf('492',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26197]) ).
thf(zip_derived_cl244,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('493',plain,
( ~ zip_tseitin_8
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl1533_732,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1521_733,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl99_734,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23387,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl99]) ).
thf(zip_derived_cl26217,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl23387]) ).
thf('494',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26217]) ).
thf(zip_derived_cl1546_735,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1951,plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl26834,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl1951]) ).
thf(zip_derived_cl473_736,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl26839,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26834,zip_derived_cl473]) ).
thf('495',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26839]) ).
thf(zip_derived_cl1549_737,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1546_738,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl23829,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1546]) ).
thf(zip_derived_cl195_739,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('496',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23829,zip_derived_cl195]) ).
thf(zip_derived_cl1563_740,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl29297_741,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl70344,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29297,zip_derived_cl139]) ).
thf(zip_derived_cl70426,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl70344]) ).
thf('497',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70426]) ).
thf(zip_derived_cl1549_742,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1541_743,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
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_cl23728,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl106]) ).
thf(zip_derived_cl26709,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23728]) ).
thf('498',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26709]) ).
thf('499',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('500',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1579,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl473_744,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24074,plain,
( ( e12 = e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1579,zip_derived_cl473]) ).
thf(zip_derived_cl194_745,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('501',plain,
( ( op1 @ e10 @ e10 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24074,zip_derived_cl194]) ).
thf(zip_derived_cl1562_746,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1546_747,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140_748,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23805,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl140]) ).
thf(zip_derived_cl26857,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl23805]) ).
thf('502',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26857]) ).
thf(zip_derived_cl1559_749,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1558_750,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23921,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1559,zip_derived_cl1558]) ).
thf(zip_derived_cl197_751,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('503',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23921,zip_derived_cl197]) ).
thf(zip_derived_cl1547_752,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1535_753,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105_754,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23624,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl105]) ).
thf(zip_derived_cl26518,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl23624]) ).
thf('504',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26518]) ).
thf(zip_derived_cl1554_755,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23407_756,plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl127]) ).
thf(zip_derived_cl26252,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl23407]) ).
thf('505',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26252]) ).
thf(zip_derived_cl1538_757,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1522_758,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126_759,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23406,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl126]) ).
thf(zip_derived_cl26247,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl23406]) ).
thf('506',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26247]) ).
thf(zip_derived_cl1526_760,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1522_761,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98_762,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23404,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl98]) ).
thf(zip_derived_cl26235,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl23404]) ).
thf('507',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26235]) ).
thf(zip_derived_cl1565_763,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1531_764,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl256,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1975,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl27152,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl1975]) ).
thf(zip_derived_cl30515,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl27152]) ).
thf('508',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30515]) ).
thf(zip_derived_cl1531_765,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1527,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23484,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl101]) ).
thf(zip_derived_cl26318,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl23484]) ).
thf('509',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26318]) ).
thf(zip_derived_cl1531_766,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23346_767,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl99]) ).
thf(zip_derived_cl26154,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl23346]) ).
thf('510',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26154]) ).
thf(zip_derived_cl1565_768,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1557_769,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
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_cl23906,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl112]) ).
thf(zip_derived_cl27035,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl23906]) ).
thf('511',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27035]) ).
thf(zip_derived_cl1565_770,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1553_771,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111_772,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23877,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl111]) ).
thf(zip_derived_cl26990,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl23877]) ).
thf('512',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26990]) ).
thf(zip_derived_cl1565_773,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1562_774,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23969,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl1562]) ).
thf(zip_derived_cl195_775,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('513',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23969,zip_derived_cl195]) ).
thf('514',plain,
( ~ zip_tseitin_13
| ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl1530_776,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1526_777,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl101_778,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23468,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl101]) ).
thf(zip_derived_cl26297,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23468]) ).
thf('515',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26297]) ).
thf(zip_derived_cl1527_779,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1519_780,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23345,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl97]) ).
thf(zip_derived_cl26149,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl23345]) ).
thf('516',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26149]) ).
thf(zip_derived_cl1521_781,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1519_782,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23392,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1519]) ).
thf(zip_derived_cl193_783,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('517',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23392,zip_derived_cl193]) ).
thf(zip_derived_cl1547_784,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1543_785,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23760,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl107]) ).
thf(zip_derived_cl26776,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl23760]) ).
thf('518',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26776]) ).
thf(zip_derived_cl1559_786,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1527_787,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133_788,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23486,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl133]) ).
thf(zip_derived_cl26329,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl23486]) ).
thf('519',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26329]) ).
thf(zip_derived_cl1554_789,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1940_790,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl26717,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl1940]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl473_791,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23159,plain,
( e12
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl473]) ).
thf('520',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26717,zip_derived_cl23159]) ).
thf(zip_derived_cl1556_792,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1942_793,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl26731,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1556,zip_derived_cl1942]) ).
thf(zip_derived_cl1556_794,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl26733,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26731,zip_derived_cl1556]) ).
thf('521',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26733]) ).
thf('522',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl1530_795,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1565_796,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zf_stmt_76,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 ) ) ) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf(zip_derived_cl1928,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
<= ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl26625,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl1928]) ).
thf(zip_derived_cl101_797,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl33524,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26625,zip_derived_cl101]) ).
thf(zip_derived_cl33780,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl33524]) ).
thf('523',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33780]) ).
thf(zip_derived_cl1565_798,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1533_799,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139_800,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23585,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl139]) ).
thf(zip_derived_cl26416,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl23585]) ).
thf('524',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26416]) ).
thf(zip_derived_cl1531_801,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1565_802,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl232,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf(zip_derived_cl1927,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf(zip_derived_cl26596,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl1927]) ).
thf(zip_derived_cl30152,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl26596]) ).
thf('525',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30152]) ).
thf(zip_derived_cl1563_803,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1928_804,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
<= ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl26624,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1563,zip_derived_cl1928]) ).
thf(zip_derived_cl1563_805,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf(zip_derived_cl1930,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl26637,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl1930]) ).
thf(zip_derived_cl33418,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26624,zip_derived_cl26637]) ).
thf('526',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
!= e10 )
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33418]) ).
thf('527',plain,
( ~ zip_tseitin_4
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf('528',plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1522_806,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1988_807,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl27340,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl1988]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl473_808,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23157,plain,
( e12
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl473]) ).
thf('529',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27340,zip_derived_cl23157]) ).
thf(zip_derived_cl1528_809,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1520_810,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl97_811,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23365,plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl97]) ).
thf(zip_derived_cl26182,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl23365]) ).
thf('530',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26182]) ).
thf(zip_derived_cl1562_812,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1554_813,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112_814,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23886,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl112]) ).
thf(zip_derived_cl27001,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl23886]) ).
thf('531',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27001]) ).
thf(zip_derived_cl1562_815,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1530_816,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139_817,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23537,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl139]) ).
thf(zip_derived_cl26383,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl23537]) ).
thf('532',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26383]) ).
thf('533',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1564,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
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_cl473_818,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23162,plain,
( e12
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl473]) ).
thf(zip_derived_cl26508,plain,
( ( e12 != e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1564,zip_derived_cl23162]) ).
thf('534',plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl26508]) ).
thf(zf_stmt_77,axiom,
( zip_tseitin_19
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e13 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf('535',plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
| ~ zip_tseitin_19 ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl1566_819,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('536',plain,
( ( op1 @ e10 @ e13 )
= e10 ),
inference('sat_resolution*',[status(thm)],['374','375','376','377']) ).
thf(zip_derived_cl29324,plain,
( ( op1 @ e10 @ e13 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1566,'536']) ).
thf(zip_derived_cl29288_820,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zf_stmt_78,axiom,
( zip_tseitin_17
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e11 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e11 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ) ).
thf(zip_derived_cl275,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf(zip_derived_cl2013,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl29302,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29288,zip_derived_cl2013]) ).
thf(zip_derived_cl71098,plain,
( ( e10 != e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29324,zip_derived_cl29302]) ).
thf('537',plain,
( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl71098]) ).
thf('538',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl275]) ).
thf(zip_derived_cl1525_821,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1520_822,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1996,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl27430,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl1996]) ).
thf(zip_derived_cl30670,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl27430]) ).
thf('539',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30670]) ).
thf(zf_stmt_79,axiom,
( zip_tseitin_21
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e11 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ) ).
thf(zip_derived_cl293,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf('540',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zf_stmt_80,axiom,
( zip_tseitin_23
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e13 ) )
!= e10 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ) ).
thf(zip_derived_cl305,plain,
( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf('541',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zf_stmt_81,axiom,
( zip_tseitin_29
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ) ).
thf(zip_derived_cl334,plain,
( ( ( op1 @ e11 @ e13 )
= ( op1 @ e13 @ e11 ) )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf('542',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zf_stmt_82,axiom,
( zip_tseitin_22
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e12 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e12 ) )
!= e10 )
& ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ) ).
thf(zip_derived_cl298,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('543',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl298]) ).
thf(zf_stmt_83,axiom,
( zip_tseitin_28
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e10 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) ) ) ) ).
thf(zip_derived_cl327,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf('544',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl1540,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1560_823,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2048,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl27710,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl2048]) ).
thf(zip_derived_cl30860,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27710]) ).
thf('545',plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e11 ) )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30860]) ).
thf(zip_derived_cl1563_824,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl2073,plain,
( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
<= ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1527_825,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl26932,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl1527]) ).
thf(zip_derived_cl111_826,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl36400,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26932,zip_derived_cl111]) ).
thf(zip_derived_cl36592,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl36400]) ).
thf('546',plain,
( ( ( op1 @ e13 @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36592]) ).
thf(zip_derived_cl1563_827,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1554_828,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2059,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl298]) ).
thf(zip_derived_cl27756,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl2059]) ).
thf(zip_derived_cl30954,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
!= e11 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl27756]) ).
thf('547',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30954]) ).
thf(zip_derived_cl1563_829,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1530_830,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2116,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl28020,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl2116]) ).
thf(zip_derived_cl31634,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
!= e11 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl28020]) ).
thf('548',plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e10 ) )
= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31634]) ).
thf(zf_stmt_84,axiom,
( zip_tseitin_25
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e11 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e11 ) )
!= e10 )
& ( ( op1 @ e11 @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ) ).
thf(zip_derived_cl313,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_84]) ).
thf('549',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl313]) ).
thf('550',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
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('551',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1563_831,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1542_832,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2088,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl313]) ).
thf(zip_derived_cl27894,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl2088]) ).
thf(zip_derived_cl31260,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl27894]) ).
thf('552',plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31260]) ).
thf(zip_derived_cl1563_833,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1559_834,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113_835,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23919,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl113]) ).
thf(zip_derived_cl27054,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl23919]) ).
thf('553',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27054]) ).
thf(zip_derived_cl1563_836,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl286,plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl2035,plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
thf(zip_derived_cl1530_837,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl26821,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2035,zip_derived_cl1530]) ).
thf(zip_derived_cl2030,plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl34856,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26821,zip_derived_cl2030]) ).
thf(zip_derived_cl34937,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
!= e11 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl34856]) ).
thf('554',plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e13 ) )
= e11 )
| ( ( op1 @ e13 @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34937]) ).
thf(zip_derived_cl1556_838,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1540_839,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128_840,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23714,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl128]) ).
thf(zip_derived_cl26690,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1556,zip_derived_cl23714]) ).
thf('555',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26690]) ).
thf(zip_derived_cl276,plain,
( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf(zip_derived_cl2015,plain,
( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
<= ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl1549_841,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140_842,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23828,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl140]) ).
thf(zip_derived_cl26875,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2015,zip_derived_cl23828]) ).
thf(zip_derived_cl29288_843,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zip_derived_cl30287,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26875,zip_derived_cl29288]) ).
thf('556',plain,
( ( ( op1 @ e11 @ e10 )
!= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30287]) ).
thf(zip_derived_cl1565_844,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23828_845,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl140]) ).
thf(zip_derived_cl26874,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl23828]) ).
thf('557',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26874]) ).
thf(zip_derived_cl1558_846,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1542_847,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134_848,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23745,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl134]) ).
thf(zip_derived_cl26752,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl23745]) ).
thf('558',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26752]) ).
thf(zip_derived_cl1546_849,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1542_850,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107_851,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23744,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl107]) ).
thf(zip_derived_cl26735,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl23744]) ).
thf('559',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26735]) ).
thf(zip_derived_cl1542_852,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1526_853,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132_854,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23469,plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl132]) ).
thf(zip_derived_cl26302,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl23469]) ).
thf('560',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26302]) ).
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('561',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1537_855,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1535_856,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23668,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl1535]) ).
thf(zip_derived_cl193_857,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('562',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23668,zip_derived_cl193]) ).
thf(zf_stmt_85,axiom,
( zip_tseitin_18
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e12 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e12 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_85]) ).
thf(zip_derived_cl2025,plain,
( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
<= ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl23167_858,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl26785,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2025,zip_derived_cl23167]) ).
thf(zip_derived_cl23624_859,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl105]) ).
thf(zip_derived_cl26794,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26785,zip_derived_cl23624]) ).
thf('563',plain,
( ( ( op1 @ e12 @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26794]) ).
thf(zip_derived_cl1543_860,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zf_stmt_86,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ) ) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf(zip_derived_cl1960,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl26982,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl1960]) ).
thf(zip_derived_cl1543_861,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl26986,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26982,zip_derived_cl1543]) ).
thf('564',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26986]) ).
thf(zip_derived_cl1544_862,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf(zip_derived_cl1958,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl26966,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl1958]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23167_863,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23171,plain,
( e11
!= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl23167]) ).
thf('565',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26966,zip_derived_cl23171]) ).
thf('566',plain,
( ~ zip_tseitin_9
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf('567',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zf_stmt_87,axiom,
( zip_tseitin_27
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e13 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e13 ) )
!= e10 )
& ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ) ).
thf(zip_derived_cl324,plain,
( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_87]) ).
thf('568',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zf_stmt_88,axiom,
( zip_tseitin_30
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e12 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e12 ) )
!= e10 )
& ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) ) ) ) ).
thf(zip_derived_cl339,plain,
( ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_88]) ).
thf('569',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl339]) ).
thf(zip_derived_cl1559_864,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zf_stmt_89,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= e11 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 ) ) ) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf(zip_derived_cl1936,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl26684,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl1936]) ).
thf(zip_derived_cl1559_865,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl26687,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26684,zip_derived_cl1559]) ).
thf('570',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26687]) ).
thf(zip_derived_cl1535_866,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2111,plain,
( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl129,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23167_867,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23170,plain,
( e11
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl23167]) ).
thf(zip_derived_cl27013,plain,
( ( e11
!= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2111,zip_derived_cl23170]) ).
thf(zip_derived_cl27923,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl27013]) ).
thf('571',plain,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27923]) ).
thf(zip_derived_cl302,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf('572',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl302]) ).
thf(zf_stmt_90,axiom,
( zip_tseitin_31
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e13 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e13 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e13 ) )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= ( op1 @ e13 @ e13 ) ) ) ) ).
thf(zip_derived_cl340,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_90]) ).
thf('573',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf('574',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1566_868,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1534,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23605,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl124]) ).
thf(zip_derived_cl26467,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1566,zip_derived_cl23605]) ).
thf('575',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26467]) ).
thf(zip_derived_cl331,plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf('576',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf(zip_derived_cl1540_869,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1552_870,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2066,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl302]) ).
thf(zip_derived_cl27794,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl2066]) ).
thf(zip_derived_cl31021,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27794]) ).
thf('577',plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e13 ) )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31021]) ).
thf(zip_derived_cl1552_871,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1551_872,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl23866,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl1551]) ).
thf(zip_derived_cl194_873,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('578',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23866,zip_derived_cl194]) ).
thf(zip_derived_cl1521_874,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1996_875,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf(zip_derived_cl27431,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl1996]) ).
thf(zip_derived_cl1521_876,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl27432,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27431,zip_derived_cl1521]) ).
thf('579',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27432]) ).
thf(zip_derived_cl1537_877,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1521_878,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl120_879,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23388,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl120]) ).
thf(zip_derived_cl26223,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl23388]) ).
thf('580',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26223]) ).
thf('581',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
thf(zip_derived_cl329,plain,
( ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf('582',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf('583',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zf_stmt_91,axiom,
( zip_tseitin_24
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e10 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e10 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
!= e10 )
& ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf('584',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl1540_880,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1528_881,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2124,plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf(zip_derived_cl28061,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl2124]) ).
thf(zip_derived_cl31808,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
!= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl28061]) ).
thf('585',plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e11 ) )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31808]) ).
thf(zip_derived_cl2035_882,plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
thf(zip_derived_cl1531_883,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl26822,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2035,zip_derived_cl1531]) ).
thf(zip_derived_cl23168_884,plain,
( e11
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl23167]) ).
thf('586',plain,
( ( ( op1 @ e13 @ e10 )
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26822,zip_derived_cl23168]) ).
thf(zip_derived_cl26785_885,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2025,zip_derived_cl23167]) ).
thf(zip_derived_cl23550_886,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl138]) ).
thf(zip_derived_cl26791,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26785,zip_derived_cl23550]) ).
thf('587',plain,
( ( ( op1 @ e12 @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26791]) ).
thf(zip_derived_cl1563_887,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1531_888,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139_889,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23551,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl139]) ).
thf(zip_derived_cl26394,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl23551]) ).
thf('588',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26394]) ).
thf('589',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1520_890,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1519_891,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23371,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1519]) ).
thf(zip_derived_cl194_892,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('590',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23371,zip_derived_cl194]) ).
thf('591',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf('592',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl246,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('593',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf('594',plain,
( ~ zip_tseitin_7
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl1562_893,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1930_894,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl26636,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl1930]) ).
thf(zip_derived_cl1562_895,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl26639,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26636,zip_derived_cl1562]) ).
thf('595',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26639]) ).
thf(zip_derived_cl1547_896,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1542_897,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1960_898,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zip_derived_cl26981,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl1960]) ).
thf(zip_derived_cl30416,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl26981]) ).
thf('596',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e11 )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30416]) ).
thf(zip_derived_cl1542_899,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1547_900,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1954,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl26906,plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl1954]) ).
thf(zip_derived_cl30331,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
!= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl26906]) ).
thf('597',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30331]) ).
thf('598',plain,
( ~ zip_tseitin_12
| ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl1551_901,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1945_902,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl26747,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl1945]) ).
thf(zip_derived_cl1551_903,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl26750,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26747,zip_derived_cl1551]) ).
thf('599',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26750]) ).
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('600',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1539_904,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23171_905,plain,
( e11
!= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl23167]) ).
thf(zip_derived_cl26559,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl23171]) ).
thf('601',plain,
( ( op1 @ e12 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26559]) ).
thf(zip_derived_cl29297_906,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl1533_907,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl70346,plain,
( ( e11 = e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29297,zip_derived_cl1533]) ).
thf(zip_derived_cl193_908,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('602',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70346,zip_derived_cl193]) ).
thf(zip_derived_cl1533_909,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1975_910,plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl27153,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl1975]) ).
thf(zip_derived_cl1533_911,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl27156,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27153,zip_derived_cl1533]) ).
thf('603',plain,
( ( ( op1 @ ( op1 @ e13 @ e10 ) @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27156]) ).
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('604',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1560_912,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1559_913,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23933,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1560,zip_derived_cl1559]) ).
thf(zip_derived_cl194_914,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('605',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23933,zip_derived_cl194]) ).
thf(zip_derived_cl1563_915,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1562_916,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23954,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1563,zip_derived_cl1562]) ).
thf(zip_derived_cl197_917,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('606',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23954,zip_derived_cl197]) ).
thf(zip_derived_cl1566_918,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1550,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
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_cl23842,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl125]) ).
thf(zip_derived_cl26919,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1566,zip_derived_cl23842]) ).
thf('607',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26919]) ).
thf(zip_derived_cl1560_919,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1558_920,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23932,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1560,zip_derived_cl1558]) ).
thf(zip_derived_cl196_921,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('608',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23932,zip_derived_cl196]) ).
thf(zip_derived_cl1520_922,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1995_923,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl27406,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1995]) ).
thf(zip_derived_cl1969_924,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl45272,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27406,zip_derived_cl1969]) ).
thf(zip_derived_cl1520_925,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl45350,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45272,zip_derived_cl1520]) ).
thf('609',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl45350]) ).
thf('610',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1577_926,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1545,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
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_cl23793,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl136]) ).
thf(zip_derived_cl26855,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl23793]) ).
thf('611',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26855]) ).
thf(zip_derived_cl1525_927,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1522_928,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23455,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1522]) ).
thf(zip_derived_cl195_929,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('612',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23455,zip_derived_cl195]) ).
thf(zip_derived_cl1524_930,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1522_931,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23438,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1522]) ).
thf(zip_derived_cl196_932,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('613',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23438,zip_derived_cl196]) ).
thf(zip_derived_cl1521_933,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1520_934,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23393,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl1520]) ).
thf(zip_derived_cl192_935,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('614',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23393,zip_derived_cl192]) ).
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('615',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_cl1557_936,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1940_937,plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
<= ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl26719,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1940]) ).
thf(zip_derived_cl1527_938,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl34120,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26719,zip_derived_cl1527]) ).
thf(zip_derived_cl194_939,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('616',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34120,zip_derived_cl194]) ).
thf(zip_derived_cl1543_940,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1527_941,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132_942,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23485,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl132]) ).
thf(zip_derived_cl26324,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl23485]) ).
thf('617',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26324]) ).
thf(zf_stmt_92,axiom,
( zip_tseitin_16
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e10 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e10 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_92]) ).
thf('618',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zf_stmt_93,axiom,
( zip_tseitin_26
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e12 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e12 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e12 ) )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ) ).
thf(zip_derived_cl317,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('619',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl1540_943,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2000,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl473_944,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl27481,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl473]) ).
thf(zip_derived_cl27483,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27481]) ).
thf('620',plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e10 ) )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27483]) ).
thf(zip_derived_cl1540_945,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zf_stmt_94,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= e12 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 ) ) ) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf(zip_derived_cl1966,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl27059,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl1966]) ).
thf(zip_derived_cl1540_946,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl27061,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27059,zip_derived_cl1540]) ).
thf('621',plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27061]) ).
thf(zip_derived_cl1544_947,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1540_948,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl104_949,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23712,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl104]) ).
thf(zip_derived_cl26676,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl23712]) ).
thf('622',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26676]) ).
thf(zip_derived_cl1540_950,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1536_951,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23643,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl102]) ).
thf(zip_derived_cl26546,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl23643]) ).
thf('623',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26546]) ).
thf('624',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zf_stmt_95,axiom,
( zip_tseitin_20
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e10 ) )
!= e13 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e10 ) )
!= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
!= e11 )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
!= e10 )
& ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ) ).
thf(zip_derived_cl291,plain,
( ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('625',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl291]) ).
thf(zip_derived_cl300,plain,
( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('626',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl300]) ).
thf(zip_derived_cl315,plain,
( ( ( op1 @ e11 @ e12 )
= ( op1 @ e12 @ e11 ) )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_84]) ).
thf('627',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl315]) ).
thf(zip_derived_cl1557_952,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl27405_953,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl1995]) ).
thf(zip_derived_cl108_954,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl44981,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27405,zip_derived_cl108]) ).
thf(zip_derived_cl45230,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl44981]) ).
thf('628',plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl45230]) ).
thf(zip_derived_cl2015_955,plain,
( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
<= ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl23906_956,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl112]) ).
thf(zip_derived_cl27036,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2015,zip_derived_cl23906]) ).
thf(zip_derived_cl29288_957,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zip_derived_cl30462,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27036,zip_derived_cl29288]) ).
thf('629',plain,
( ( ( op1 @ e11 @ e10 )
!= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30462]) ).
thf(zip_derived_cl1557_958,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2063,plain,
( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl300]) ).
thf(zip_derived_cl136_959,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl29288_960,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl23163,zip_derived_cl23167]) ).
thf(zip_derived_cl29291,plain,
( e13
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl29288]) ).
thf(zip_derived_cl29380,plain,
( ( e13
!= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2063,zip_derived_cl29291]) ).
thf(zip_derived_cl29384,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl29380]) ).
thf('630',plain,
( ( ( op1 @ e12 @ e11 )
!= ( op1 @ e11 @ e12 ) )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29384]) ).
thf(zf_stmt_96,type,
zip_tseitin_31: $o ).
thf(zf_stmt_97,type,
zip_tseitin_30: $o ).
thf(zf_stmt_98,type,
zip_tseitin_29: $o ).
thf(zf_stmt_99,type,
zip_tseitin_28: $o ).
thf(zf_stmt_100,type,
zip_tseitin_27: $o ).
thf(zf_stmt_101,type,
zip_tseitin_26: $o ).
thf(zf_stmt_102,type,
zip_tseitin_25: $o ).
thf(zf_stmt_103,type,
zip_tseitin_24: $o ).
thf(zf_stmt_104,type,
zip_tseitin_23: $o ).
thf(zf_stmt_105,type,
zip_tseitin_22: $o ).
thf(zf_stmt_106,type,
zip_tseitin_21: $o ).
thf(zf_stmt_107,type,
zip_tseitin_20: $o ).
thf(zf_stmt_108,type,
zip_tseitin_19: $o ).
thf(zf_stmt_109,type,
zip_tseitin_18: $o ).
thf(zf_stmt_110,type,
zip_tseitin_17: $o ).
thf(zf_stmt_111,type,
zip_tseitin_16: $o ).
thf(zf_stmt_112,type,
zip_tseitin_15: $o ).
thf(zf_stmt_113,type,
zip_tseitin_14: $o ).
thf(zf_stmt_114,type,
zip_tseitin_13: $o ).
thf(zf_stmt_115,type,
zip_tseitin_12: $o ).
thf(zf_stmt_116,type,
zip_tseitin_11: $o ).
thf(zf_stmt_117,type,
zip_tseitin_10: $o ).
thf(zf_stmt_118,type,
zip_tseitin_9: $o ).
thf(zf_stmt_119,type,
zip_tseitin_8: $o ).
thf(zf_stmt_120,type,
zip_tseitin_7: $o ).
thf(zf_stmt_121,type,
zip_tseitin_6: $o ).
thf(zf_stmt_122,type,
zip_tseitin_5: $o ).
thf(zf_stmt_123,type,
zip_tseitin_4: $o ).
thf(zf_stmt_124,type,
zip_tseitin_3: $o ).
thf(zf_stmt_125,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= e13 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
!= e13 ) ) ) ).
thf(zf_stmt_126,type,
zip_tseitin_2: $o ).
thf(zf_stmt_127,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e12 )
!= e10 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
!= e12 ) ) ) ).
thf(zf_stmt_128,type,
zip_tseitin_1: $o ).
thf(zf_stmt_129,type,
zip_tseitin_0: $o ).
thf(zf_stmt_130,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 )
& ( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8
| zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ) ).
thf(zip_derived_cl344,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_130]) ).
thf('631',plain,
( zip_tseitin_24
| zip_tseitin_16
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_30
| zip_tseitin_31
| zip_tseitin_17
| zip_tseitin_18
| zip_tseitin_19
| zip_tseitin_27
| zip_tseitin_29
| zip_tseitin_23
| zip_tseitin_25
| zip_tseitin_26
| zip_tseitin_20
| zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zip_derived_cl243,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf('632',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf('633',plain,
( ~ zip_tseitin_11
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl1553_961,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1948,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 )
<= ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl26811,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1948]) ).
thf(zip_derived_cl1553_962,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl26812,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26811,zip_derived_cl1553]) ).
thf('634',plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26812]) ).
thf(zip_derived_cl27098_963,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl1970]) ).
thf(zip_derived_cl1525_964,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127_965,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23454,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl127]) ).
thf(zip_derived_cl39043,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27098,zip_derived_cl23454]) ).
thf('635',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39043]) ).
thf(zip_derived_cl1557_966,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23454_967,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl127]) ).
thf(zip_derived_cl26295,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl23454]) ).
thf('636',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26295]) ).
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('637',plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1577_968,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1569,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
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_cl24003,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1569,zip_derived_cl115]) ).
thf(zip_derived_cl27081,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl24003]) ).
thf('638',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27081]) ).
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('639',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1577_969,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1529,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23522,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl135]) ).
thf(zip_derived_cl26376,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl23522]) ).
thf('640',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26376]) ).
thf(zip_derived_cl1521_970,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1993_971,plain,
( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
<= ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl27384,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl1993]) ).
thf(zip_derived_cl1521_972,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl27385,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27384,zip_derived_cl1521]) ).
thf('641',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27385]) ).
thf(zip_derived_cl1525_973,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1988_974,plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
<= ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl27342,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1988]) ).
thf(zip_derived_cl1525_975,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl264,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1990,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl27366,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl1990]) ).
thf(zip_derived_cl44480,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27342,zip_derived_cl27366]) ).
thf('642',plain,
( ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
!= e12 )
| ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44480]) ).
thf('643',plain,
( ~ zip_tseitin_14
| ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf('644',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('645',plain,
( ~ zip_tseitin_0
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf('646',plain,
( ~ zip_tseitin_0
| ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf('647',plain,
( ~ zip_tseitin_15
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf('648',plain,
( ~ zip_tseitin_15
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_127]) ).
thf(zip_derived_cl1916,plain,
( ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl23167_976,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl26541,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1916,zip_derived_cl23167]) ).
thf(zip_derived_cl23162_977,plain,
( e12
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl473]) ).
thf('649',plain,
( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26541,zip_derived_cl23162]) ).
thf('650',plain,
( ~ zip_tseitin_2
| ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl1566_978,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_125]) ).
thf(zip_derived_cl1921,plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 )
<= ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl26563,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1566,zip_derived_cl1921]) ).
thf(zip_derived_cl1566_979,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl26565,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26563,zip_derived_cl1566]) ).
thf('651',plain,
( ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26565]) ).
thf('652',plain,
( ~ zip_tseitin_3
| ( ( op1 @ ( op1 @ e10 @ e13 ) @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl251,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf('653',plain,
( ~ zip_tseitin_10
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl250,plain,
( ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf('654',plain,
( ~ zip_tseitin_10
| ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl250]) ).
thf(zip_derived_cl236,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf('655',plain,
( ~ zip_tseitin_5
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl235,plain,
( ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf('656',plain,
( ~ zip_tseitin_5
| ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl235]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf('657',plain,
( ~ zip_tseitin_9
| ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf('658',plain,
( ~ zip_tseitin_8
| ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf('659',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf('660',plain,
( ~ zip_tseitin_6
| ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl1544_980,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1957,plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl26944,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl1957]) ).
thf(zip_derived_cl1544_981,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl26947,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26944,zip_derived_cl1544]) ).
thf('661',plain,
( ( ( op1 @ ( op1 @ e12 @ e11 ) @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26947]) ).
thf(zip_derived_cl1530_982,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl26864_983,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl1952]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl35181,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26864,zip_derived_cl100]) ).
thf(zip_derived_cl35553,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl35181]) ).
thf('662',plain,
( ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35553]) ).
thf(zip_derived_cl26719_984,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1940]) ).
thf(zip_derived_cl1524_985,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98_986,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23434,plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl98]) ).
thf(zip_derived_cl34132,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26719,zip_derived_cl23434]) ).
thf('663',plain,
( ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34132]) ).
thf('664',plain,
( ~ zip_tseitin_11
| ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf('665',plain,
( ~ zip_tseitin_7
| ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf('666',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
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('667',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1548,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
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_cl473_987,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23161,plain,
( e12
!= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl473]) ).
thf(zip_derived_cl26499,plain,
( ( e12 != e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl23161]) ).
thf('668',plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl26499]) ).
thf('669',plain,
( ~ zip_tseitin_4
| ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf('670',plain,
( ~ zip_tseitin_1
| ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('671',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
| ~ zip_tseitin_13 ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
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('672',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1576,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl23159_988,plain,
( e12
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl473]) ).
thf(zip_derived_cl26478,plain,
( ( e12 != e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1576,zip_derived_cl23159]) ).
thf('673',plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl26478]) ).
thf('674',plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1577_989,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1561_990,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_cl23939,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1561,zip_derived_cl137]) ).
thf(zip_derived_cl27069,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl23939]) ).
thf('675',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27069]) ).
thf(zip_derived_cl1552_991,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1535_992,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1969_993,plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
<= ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl27072,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl1969]) ).
thf(zip_derived_cl30486,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl27072]) ).
thf('676',plain,
( ( ( op1 @ ( op1 @ e12 @ e13 ) @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30486]) ).
thf(zip_derived_cl1552_994,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1946,plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
<= ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl26770,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl1946]) ).
thf(zip_derived_cl29291_995,plain,
( e13
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl29288]) ).
thf('677',plain,
( ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26770,zip_derived_cl29291]) ).
thf(zip_derived_cl1524_996,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1990_997,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zip_derived_cl27365,plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl1990]) ).
thf(zip_derived_cl1524_998,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl27368,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27365,zip_derived_cl1524]) ).
thf('678',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27368]) ).
thf(zip_derived_cl1540_999,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1524_1000,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126_1001,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23436,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl126]) ).
thf(zip_derived_cl26269,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl23436]) ).
thf('679',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26269]) ).
thf(zip_derived_cl1563_1002,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1927_1003,plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
<= ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf(zip_derived_cl26595,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1563,zip_derived_cl1927]) ).
thf(zip_derived_cl1563_1004,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl26598,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26595,zip_derived_cl1563]) ).
thf('680',plain,
( ( ( op1 @ ( op1 @ e11 @ e10 ) @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26598]) ).
thf(zip_derived_cl1565_1005,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1563_1006,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23970,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl1563]) ).
thf(zip_derived_cl193_1007,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('681',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23970,zip_derived_cl193]) ).
thf(zip_derived_cl29297_1008,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29288,zip_derived_cl1910]) ).
thf(zip_derived_cl23484_1009,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl101]) ).
thf(zip_derived_cl70361,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29297,zip_derived_cl23484]) ).
thf('682',plain,
( ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70361]) ).
thf(zip_derived_cl1527_1010,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1984,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl27284,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1984]) ).
thf(zip_derived_cl1527_1011,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27288,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27284,zip_derived_cl1527]) ).
thf('683',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27288]) ).
thf(zip_derived_cl1553_1012,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1521_1013,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121_1014,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23389,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl121]) ).
thf(zip_derived_cl26228,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl23389]) ).
thf('684',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26228]) ).
thf(zip_derived_cl18,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('685',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1568,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl23157_1015,plain,
( e12
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl473]) ).
thf(zip_derived_cl26425,plain,
( ( e12 != e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1568,zip_derived_cl23157]) ).
thf('686',plain,
( ( op1 @ e10 @ e13 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl26425]) ).
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('687',plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1532,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
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_cl473_1016,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23160,plain,
( e12
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl473]) ).
thf(zip_derived_cl26484,plain,
( ( e12 != e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl23160]) ).
thf('688',plain,
( ( op1 @ e13 @ e10 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl26484]) ).
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('689',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1555_1017,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23167_1018,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23172,plain,
( e11
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl23167]) ).
thf(zip_derived_cl26573,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1555,zip_derived_cl23172]) ).
thf('690',plain,
( ( op1 @ e11 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26573]) ).
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('691',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1575,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23167_1019,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl23169,plain,
( ( op1 @ e10 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl23167]) ).
thf(zip_derived_cl26538,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1575,zip_derived_cl23169]) ).
thf('692',plain,
( ( op1 @ e10 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl26538]) ).
thf(zip_derived_cl1533_1020,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1531_1021,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23587,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1531]) ).
thf(zip_derived_cl193_1022,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('693',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23587,zip_derived_cl193]) ).
thf(zip_derived_cl1527_1023,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1526_1024,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23488,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1526]) ).
thf(zip_derived_cl197_1025,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('694',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23488,zip_derived_cl197]) ).
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('695',plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('696',plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1528_1026,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1527_1027,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23506,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1527]) ).
thf(zip_derived_cl194_1028,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('697',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23506,zip_derived_cl194]) ).
thf(zip_derived_cl1528_1029,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1526_1030,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl23505,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl1526]) ).
thf(zip_derived_cl196_1031,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('698',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23505,zip_derived_cl196]) ).
thf(zip_derived_cl1531_1032,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1530_1033,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23552,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl1530]) ).
thf(zip_derived_cl197_1034,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('699',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23552,zip_derived_cl197]) ).
thf(zip_derived_cl1541_1035,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1540_1036,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23732,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl1540]) ).
thf(zip_derived_cl192_1037,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('700',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23732,zip_derived_cl192]) ).
thf(zip_derived_cl1541_1038,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1538_1039,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23730,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl1538]) ).
thf(zip_derived_cl195_1040,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('701',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23730,zip_derived_cl195]) ).
thf(zip_derived_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('702',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1573,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23167_1041,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl24022,plain,
( ( e11 = e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1573,zip_derived_cl23167]) ).
thf(zip_derived_cl193_1042,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('703',plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24022,zip_derived_cl193]) ).
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('704',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1572,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl23167_1043,plain,
( e11
= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl473]) ).
thf(zip_derived_cl24019,plain,
( ( e11 = e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1572,zip_derived_cl23167]) ).
thf(zip_derived_cl194_1044,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('705',plain,
( ( op1 @ e10 @ e12 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24019,zip_derived_cl194]) ).
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('706',plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1557_1045,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1556_1046,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23909,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1556]) ).
thf(zip_derived_cl192_1047,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('707',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23909,zip_derived_cl192]) ).
thf(zip_derived_cl1557_1048,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1554_1049,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23907,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1554]) ).
thf(zip_derived_cl195_1050,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('708',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23907,zip_derived_cl195]) ).
thf(zip_derived_cl1540_1051,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1538_1052,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl23715,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl1538]) ).
thf(zip_derived_cl196_1053,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('709',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23715,zip_derived_cl196]) ).
thf(zip_derived_cl1525_1054,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1523,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23456,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1523]) ).
thf(zip_derived_cl193_1055,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('710',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23456,zip_derived_cl193]) ).
thf(zip_derived_cl1524_1056,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1523_1057,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23439,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl1523]) ).
thf(zip_derived_cl194_1058,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('711',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23439,zip_derived_cl194]) ).
thf(zip_derived_cl1523_1059,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1522_1060,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23423,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl1522]) ).
thf(zip_derived_cl197_1061,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('712',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23423,zip_derived_cl197]) ).
thf(zip_derived_cl1556_1062,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1554_1063,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl23899,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl1554]) ).
thf(zip_derived_cl196_1064,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('713',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23899,zip_derived_cl196]) ).
thf('714',plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1566_1065,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1518,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23333,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl123]) ).
thf(zip_derived_cl26140,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1566,zip_derived_cl23333]) ).
thf('715',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26140]) ).
thf(zip_derived_cl27406_1066,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1520,zip_derived_cl1995]) ).
thf(zip_derived_cl1535_1067,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl45270,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27406,zip_derived_cl1535]) ).
thf(zip_derived_cl193_1068,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('716',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45270,zip_derived_cl193]) ).
thf(zip_derived_cl1551_1069,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1535_1070,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl122_1071,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23625,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl122]) ).
thf(zip_derived_cl26533,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl23625]) ).
thf('717',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26533]) ).
thf(zip_derived_cl1543_1072,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1535_1073,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl103_1074,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23623,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl103]) ).
thf(zip_derived_cl26493,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl23623]) ).
thf('718',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26493]) ).
thf(zip_derived_cl1535_1075,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23347_1076,plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl120]) ).
thf(zip_derived_cl26161,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl23347]) ).
thf('719',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26161]) ).
thf(zip_derived_cl1536_1077,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1535_1078,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl23649,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl1535]) ).
thf(zip_derived_cl194_1079,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('720',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23649,zip_derived_cl194]) ).
thf(zip_derived_cl345,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_130]) ).
thf('721',plain,
( zip_tseitin_7
| zip_tseitin_8
| zip_tseitin_0
| zip_tseitin_15
| zip_tseitin_4
| zip_tseitin_9
| zip_tseitin_6
| zip_tseitin_2
| zip_tseitin_3
| zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_5
| zip_tseitin_12
| zip_tseitin_13
| zip_tseitin_1
| zip_tseitin_14 ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
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('722',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1581,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl473_1080,plain,
( e12
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24091,plain,
( ( e12 = e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1581,zip_derived_cl473]) ).
thf(zip_derived_cl192_1081,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('723',plain,
( ( op1 @ e10 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24091,zip_derived_cl192]) ).
thf(zip_derived_cl1530_1082,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1978_1083,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl27199,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl1978]) ).
thf(zip_derived_cl1530_1084,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl27203,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27199,zip_derived_cl1530]) ).
thf('724',plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27203]) ).
thf(zip_derived_cl1530_1085,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1522_1086,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl100_1087,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23405,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl100]) ).
thf(zip_derived_cl26242,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl23405]) ).
thf('725',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26242]) ).
thf(zip_derived_cl1533_1088,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1530_1089,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23586,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl1530]) ).
thf(zip_derived_cl195_1090,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('726',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23586,zip_derived_cl195]) ).
thf('727',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl71286,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','364','365','366','367','368','369','370','371','372','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','49','50','402','52','53','54','403','56','404','405','59','60','61','406','63','64','65','407','408','68','69','70','71','72','409','74','75','410','411','78','412','80','81','413','83','84','85','414','87','88','89','90','91','92','93','94','415','96','97','416','99','100','101','102','103','104','105','417','107','108','109','110','111','112','113','114','115','116','117','418','119','120','419','122','420','124','125','126','127','421','422','130','131','132','133','134','135','423','137','138','139','140','141','142','143','144','424','425','147','148','149','150','151','152','153','154','155','156','157','158','159','160','426','427','163','164','428','166','167','168','169','170','429','172','173','174','175','430','431','178','179','432','181','182','183','433','185','186','187','188','189','190','434','435','193','194','195','196','197','198','199','200','201','202','436','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','437','438','439','230','231','232','233','234','235','236','237','238','440','441','241','242','243','244','245','246','442','248','249','250','251','252','253','254','255','256','443','258','259','260','261','262','263','264','265','266','267','444','445','270','271','446','273','274','275','276','277','278','279','280','281','447','283','284','285','286','287','288','448','290','291','292','293','449','450','296','297','298','299','451','301','302','303','304','452','306','307','308','309','310','453','312','454','314','315','316','317','318','319','320','321','322','323','324','325','326','455','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','456','349','350','457','352','353','354','355','458','357','459','359','360','361','362','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534','535','537','538','539','540','541','542','543','544','545','546','547','548','549','550','551','552','553','554','555','556','557','558','559','560','561','562','563','564','565','566','567','568','569','570','571','572','573','574','575','576','577','578','579','580','581','582','583','584','585','586','587','588','589','590','591','592','593','594','595','596','597','598','599','600','601','602','603','604','605','606','607','608','609','610','611','612','613','614','615','616','617','618','619','620','621','622','623','624','625','626','627','628','629','630','631','632','633','634','635','636','637','638','639','640','641','642','643','644','645','646','647','648','649','650','651','652','653','654','655','656','657','658','659','660','661','662','663','664','665','666','667','668','669','670','671','672','673','674','675','676','677','678','679','680','681','682','683','684','685','686','687','688','689','690','691','692','693','694','695','696','697','698','699','700','701','702','703','704','705','706','707','708','709','710','711','712','713','714','374','375','376','377','715','716','717','718','719','720','721','722','723','724','725','726','727']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG104+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gaPEdAddOs true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:48:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 113.55/16.84 % Solved by fo/fo1_av.sh.
% 113.55/16.84 % done 40411 iterations in 15.941s
% 113.55/16.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 113.55/16.84 % SZS output start Refutation
% See solution above
% 113.55/16.87
% 113.55/16.87
% 113.55/16.87 % Terminating...
% 113.55/16.90 % Runner terminated.
% 113.55/16.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------