TSTP Solution File: ALG128+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG128+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.o93QyRlxes true
% Computer : n008.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 17:11:05 EDT 2023
% Result : Theorem 44.20s 6.94s
% Output : Refutation 44.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 225
% Syntax : Number of formulae : 3195 ( 564 unt; 142 typ; 0 def)
% Number of atoms : 9803 (9320 equ; 0 cnn)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 36456 (4182 ~;2958 |;2031 &;25524 @)
% ( 0 <=>; 64 =>;1697 <=; 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(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_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_cl1820,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1819,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26458,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1820,zip_derived_cl1819]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('0',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26458,zip_derived_cl200]) ).
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_cl1843,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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_cl154,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( e21
= ( op2 @ e22 @ e22 ) )
& ( e20
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) ) ).
thf(zip_derived_cl580,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23765,plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl580]) ).
thf(zip_derived_cl29822,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1843,zip_derived_cl23765]) ).
thf('1',plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29822]) ).
thf('2',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1844,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
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_cl1832,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26658,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl153]) ).
thf(zip_derived_cl29087,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl26658]) ).
thf('3',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29087]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_59
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl549,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ~ zip_tseitin_59
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl549]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_44
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl460,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('5',plain,
( ~ zip_tseitin_44
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl460]) ).
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_cl1872,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
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_cl1868,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27014,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl164]) ).
thf(zip_derived_cl29377,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl27014]) ).
thf('6',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29377]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_55
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl520,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('7',plain,
( ~ zip_tseitin_55
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl520]) ).
thf(zip_derived_cl525,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('8',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_55 ),
inference(split,[status(esa)],[zip_derived_cl525]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_60
=> ( ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl554,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('9',plain,
( ~ zip_tseitin_60
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl554]) ).
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_cl1826,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1818,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
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_cl26421,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1818,zip_derived_cl148]) ).
thf(zip_derived_cl28868,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl26421]) ).
thf('10',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28868]) ).
thf(zip_derived_cl1869,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
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_cl1865,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26988,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl162]) ).
thf(zip_derived_cl29339,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl26988]) ).
thf('11',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29339]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_52
=> ( ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl506,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('12',plain,
( ~ zip_tseitin_52
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl1871,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1827,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
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_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_cl1657,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
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_cl1814,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl594,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26334,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
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_5,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_cl1366,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl18269,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl595,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47009,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18269,zip_derived_cl595]) ).
thf(zip_derived_cl47010,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl47009]) ).
thf(zip_derived_cl1814_001,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47018,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47010,zip_derived_cl1814]) ).
thf(zip_derived_cl48310,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl47018]) ).
thf(zip_derived_cl26334_002,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl48313,plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48310,zip_derived_cl26334]) ).
thf(zip_derived_cl48353,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl48313]) ).
thf(zip_derived_cl48356,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl48353]) ).
thf('13',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48356]) ).
thf(zip_derived_cl1865_003,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1814_004,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
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_cl1660,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl18268,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl595_005,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl597,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47005,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18268,zip_derived_cl595,zip_derived_cl597]) ).
thf(zip_derived_cl47006,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl47005]) ).
thf(zip_derived_cl597_006,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47008,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47006,zip_derived_cl597]) ).
thf(zip_derived_cl47926,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl47008]) ).
thf(zip_derived_cl47935,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl47926]) ).
thf('14',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47935]) ).
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_cl1847,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1827_007,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26334_008,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
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_cl1629,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl18276,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl597_009,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47083,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18276,zip_derived_cl597]) ).
thf(zip_derived_cl47086,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl47083]) ).
thf(zip_derived_cl47842,plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl47086]) ).
thf(zip_derived_cl47909,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl47842]) ).
thf(zip_derived_cl47914,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl47909]) ).
thf('15',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47914]) ).
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_cl1623,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1827_010,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26334_011,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl18277,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl47088,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl18277]) ).
thf(zip_derived_cl49508,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl47088]) ).
thf(zip_derived_cl581,plain,
( e20
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl580_012,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl580_013,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23774,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl49515,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49508,zip_derived_cl23774]) ).
thf(zip_derived_cl49522,plain,
( ( ( h4 @ e11 )
!= e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl49515]) ).
thf(zip_derived_cl595_014,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1814_015,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl49526,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49522,zip_derived_cl595,zip_derived_cl1814]) ).
thf('16',plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49526]) ).
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_cl1876,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
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_cl1672,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1827_016,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26334_017,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl18265,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl46966,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl18265]) ).
thf(zip_derived_cl1814_018,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl596,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26335,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl46974,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46966,zip_derived_cl26335]) ).
thf(zip_derived_cl48633,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl46974]) ).
thf(zip_derived_cl48642,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl48633]) ).
thf(zip_derived_cl597_019,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl48646,plain,
( ( e23
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48642,zip_derived_cl597]) ).
thf(zip_derived_cl48662,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl48646]) ).
thf(zip_derived_cl579,plain,
( e23
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl580_020,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23769,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl48665,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48662,zip_derived_cl23769]) ).
thf('17',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48665]) ).
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_cl1861,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1827_021,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
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_cl1632,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1814_022,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18275,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl595_023,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47066,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18275,zip_derived_cl595]) ).
thf(zip_derived_cl47067,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl47066]) ).
thf(zip_derived_cl26334_024,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl47075,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47067,zip_derived_cl26334]) ).
thf(zip_derived_cl48543,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl47075]) ).
thf(zip_derived_cl597_025,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl48545,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48543,zip_derived_cl597]) ).
thf(zip_derived_cl48557,plain,
( ( e23
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl48545]) ).
thf(zip_derived_cl48570,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl48557]) ).
thf('18',plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48570]) ).
thf(zip_derived_cl1842,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1876_026,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
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_cl1679,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1814_027,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18263,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl595_028,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46944,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18263,zip_derived_cl595]) ).
thf(zip_derived_cl46945,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl46944]) ).
thf(zip_derived_cl26335_029,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl46953,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46945,zip_derived_cl26335]) ).
thf(zip_derived_cl48149,plain,
( ( ( h4 @ e11 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl46953]) ).
thf(zip_derived_cl595_030,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1814_031,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl48151,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48149,zip_derived_cl595,zip_derived_cl1814]) ).
thf(zip_derived_cl48155,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl48151]) ).
thf(zip_derived_cl48161,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl48155]) ).
thf('19',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48161]) ).
thf(zip_derived_cl1827_032,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1876_033,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl584,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl27110,plain,
( ( ( h1 @ e10 )
= ( op2 @ e22 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl584]) ).
thf(zip_derived_cl580_034,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl27120,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
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_cl1685,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl26335_035,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl18262,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl46922,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl18262]) ).
thf(zip_derived_cl584_036,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl46930,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( h1 @ e10 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46922,zip_derived_cl584]) ).
thf(zip_derived_cl47361,plain,
( ( ( h4 @ e13 )
!= ( h1 @ e10 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl46930]) ).
thf(zip_derived_cl26334_037,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl47365,plain,
( ( ( op2 @ e23 @ e20 )
!= ( h1 @ e10 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47361,zip_derived_cl26334]) ).
thf(zip_derived_cl47398,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl47365]) ).
thf(zip_derived_cl47408,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl47398]) ).
thf('20',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47408]) ).
thf(zip_derived_cl1821,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1876_038,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26335_039,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
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_cl1652,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl18270,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl597_040,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47026,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18270,zip_derived_cl597]) ).
thf(zip_derived_cl47028,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl47026]) ).
thf(zip_derived_cl597_041,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47029,plain,
( ( e23
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47028,zip_derived_cl597]) ).
thf(zip_derived_cl47211,plain,
( ( e23
!= ( op2 @ e23 @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl47029]) ).
thf(zip_derived_cl47239,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl47211]) ).
thf(zip_derived_cl47254,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl47239]) ).
thf('21',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47254]) ).
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_cl1852,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1827_042,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
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_cl1634,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1876_043,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26335_044,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl18274,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl47050,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl18274]) ).
thf(zip_derived_cl26334_045,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl47058,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47050,zip_derived_cl26334]) ).
thf(zip_derived_cl49082,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl47058]) ).
thf(zip_derived_cl49215,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl49082]) ).
thf(zip_derived_cl26335_046,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl1876_047,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl49219,plain,
( ( e22
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49215,zip_derived_cl26335,zip_derived_cl1876]) ).
thf(zip_derived_cl49224,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl49219]) ).
thf(zip_derived_cl49229,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl49224]) ).
thf('22',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49229]) ).
thf(zip_derived_cl1876_048,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
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_cl1824,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1827_049,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26334_050,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
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_cl1638,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl18273,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl597_051,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47046,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18273,zip_derived_cl597]) ).
thf(zip_derived_cl47047,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl47046]) ).
thf(zip_derived_cl47718,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl47047]) ).
thf(zip_derived_cl26335_052,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl47722,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47718,zip_derived_cl26335]) ).
thf(zip_derived_cl47780,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl47722]) ).
thf(zip_derived_cl47797,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47780]) ).
thf(zip_derived_cl47800,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl47797]) ).
thf('23',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47800]) ).
thf(zip_derived_cl1866,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1876_053,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl582,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl27109,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
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_cl1667,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl26335_054,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl18266,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl595_055,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46982,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18266,zip_derived_cl595]) ).
thf(zip_derived_cl46983,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl46982]) ).
thf(zip_derived_cl1814_056,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl582_057,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl46991,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( h1 @ e13 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46983,zip_derived_cl1814,zip_derived_cl582]) ).
thf(zip_derived_cl47597,plain,
( ( ( h4 @ e11 )
!= ( h1 @ e13 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl46991]) ).
thf(zip_derived_cl595_058,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1814_059,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47600,plain,
( ( e20
!= ( h1 @ e13 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47597,zip_derived_cl595,zip_derived_cl1814]) ).
thf(zip_derived_cl47605,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl47600]) ).
thf(zip_derived_cl47615,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl47605]) ).
thf('24',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47615]) ).
thf(zip_derived_cl1636,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1634_060,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24093,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1636,zip_derived_cl1634]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('25',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24093,zip_derived_cl196]) ).
thf(zip_derived_cl1861_061,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1669,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1110,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl13146,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(ax16,axiom,
( ( ( h3 @ e13 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e10 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e12 )
= e22 ) ) ).
thf(zip_derived_cl591,plain,
( ( h3 @ e11 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl580_062,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23822,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl592,plain,
( ( h3 @ e10 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl580_063,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl580_064,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23774_065,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23829,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41854,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13146,zip_derived_cl23822,zip_derived_cl23829]) ).
thf(zip_derived_cl41857,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl41854]) ).
thf(zip_derived_cl590,plain,
( ( h3 @ e13 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl580_066,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23819,plain,
( ( h3 @ e13 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl580]) ).
thf(zip_derived_cl23769_067,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl29850,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41860,plain,
( ( e23
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41857,zip_derived_cl29850]) ).
thf(zip_derived_cl42040,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl41860]) ).
thf('26',plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42040]) ).
thf(zip_derived_cl1865_068,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1673,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl13145,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23829_069,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl29850_070,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41845,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13145,zip_derived_cl23829,zip_derived_cl29850]) ).
thf(zip_derived_cl41849,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl41845]) ).
thf(zip_derived_cl29850_071,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41853,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41849,zip_derived_cl29850]) ).
thf(zip_derived_cl42011,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl41853]) ).
thf('27',plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42011]) ).
thf(zip_derived_cl1827_072,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1635,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl13154,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl29850_073,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl23829_074,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41904,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13154,zip_derived_cl29850,zip_derived_cl23829]) ).
thf(zip_derived_cl41906,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl41904]) ).
thf(zip_derived_cl23822_075,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41910,plain,
( ( e21
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41906,zip_derived_cl23822]) ).
thf(zip_derived_cl42113,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl41910]) ).
thf('28',plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42113]) ).
thf(zip_derived_cl1814_076,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1622,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl13157,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl29850_077,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl29850_078,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41930,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13157,zip_derived_cl29850,zip_derived_cl29850]) ).
thf(zip_derived_cl41931,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl41930]) ).
thf(zip_derived_cl23829_079,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41935,plain,
( ( e20
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41931,zip_derived_cl23829]) ).
thf(zip_derived_cl42180,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl41935]) ).
thf('29',plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42180]) ).
thf(zip_derived_cl1847_080,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1655,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl13149,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23822_081,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl29850_082,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41878,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13149,zip_derived_cl23822,zip_derived_cl29850]) ).
thf(zip_derived_cl41879,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl41878]) ).
thf(zip_derived_cl23822_083,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41882,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41879,zip_derived_cl23822]) ).
thf(zip_derived_cl42053,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl41882]) ).
thf('30',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42053]) ).
thf(zip_derived_cl1832_084,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1876_085,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26335_086,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
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_cl1674,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl18264,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl597_087,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46961,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18264,zip_derived_cl597]) ).
thf(zip_derived_cl46962,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl46961]) ).
thf(zip_derived_cl47449,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl46962]) ).
thf(zip_derived_cl47478,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl47449]) ).
thf(zip_derived_cl47488,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl47478]) ).
thf('31',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47488]) ).
thf(zip_derived_cl858,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e12 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl8118,plain,
( ( ( h2 @ e12 )
!= e21 )
<= ( ( h2 @ e12 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl858]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e10 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl589,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23850,plain,
( ( e21 != e21 )
<= ( ( h2 @ e12 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl8118,zip_derived_cl589]) ).
thf('32',plain,
( ( h2 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl23850]) ).
thf(zip_derived_cl855,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( h2 @ e11 )
!= 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl8059,plain,
( ( ( h2 @ e11 )
!= e20 )
<= ( ( h2 @ e11 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl855]) ).
thf(zip_derived_cl587,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23774_088,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23809,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl23838,plain,
( ( e20 != e20 )
<= ( ( h2 @ e11 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl8059,zip_derived_cl23809]) ).
thf('33',plain,
( ( h2 @ e11 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl23838]) ).
thf(zip_derived_cl854,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl8031,plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) )
& ( e11
= ( op1 @ e12 @ e12 ) )
& ( e10
= ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) ) ) ) ).
thf(zip_derived_cl576,plain,
( e13
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl577,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23748,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl577]) ).
thf(zip_derived_cl586,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23774_089,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23807,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl589_090,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23809_091,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl36004,plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8031,zip_derived_cl23748,zip_derived_cl23807,zip_derived_cl589,zip_derived_cl23809]) ).
thf('34',plain,
( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl36004]) ).
thf(zip_derived_cl8027,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl578,plain,
( e10
= ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl577_092,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl577_093,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23749,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl588,plain,
( ( h2 @ e10 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23774_094,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23774_095,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23813,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl23809_096,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl23809_097,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl35980,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8027,zip_derived_cl23749,zip_derived_cl23813,zip_derived_cl23809,zip_derived_cl23809]) ).
thf('35',plain,
( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35980]) ).
thf(zip_derived_cl8032,plain,
( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl577_098,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23809_099,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl589_100,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl589_101,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23774_102,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl36006,plain,
( ( e20 != e20 )
<= ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8032,zip_derived_cl577,zip_derived_cl23809,zip_derived_cl589,zip_derived_cl589,zip_derived_cl23774]) ).
thf('36',plain,
( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl36006]) ).
thf(zip_derived_cl27120_103,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl1684,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8022,plain,
( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23813_104,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl23813_105,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl584_106,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl35933,plain,
( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( h1 @ e10 ) )
<= ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8022,zip_derived_cl23813,zip_derived_cl23813,zip_derived_cl584]) ).
thf(zip_derived_cl35936,plain,
( ( ( h2 @ e12 )
!= ( h1 @ e10 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl35933]) ).
thf(zip_derived_cl589_107,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl35940,plain,
( ( e21
!= ( h1 @ e10 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35936,zip_derived_cl589]) ).
thf(zip_derived_cl35984,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl35940]) ).
thf('37',plain,
( ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35984]) ).
thf(zip_derived_cl1861_108,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1876_109,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1677,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl8024,plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23813_110,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl589_111,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl35958,plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8024,zip_derived_cl23813,zip_derived_cl589]) ).
thf(zip_derived_cl35961,plain,
( ( ( h2 @ e13 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl35958]) ).
thf(zip_derived_cl23807_112,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl35964,plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35961,zip_derived_cl23807]) ).
thf(zip_derived_cl36585,plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl35964]) ).
thf(zip_derived_cl23769_113,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl36588,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36585,zip_derived_cl23769]) ).
thf(zip_derived_cl36597,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl36588]) ).
thf('38',plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36597]) ).
thf(zip_derived_cl1827_114,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1861_115,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1632_116,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8035,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23807_117,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl23809_118,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl36026,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e20 ) )
<= ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8035,zip_derived_cl23807,zip_derived_cl23809]) ).
thf(zip_derived_cl36028,plain,
( ( ( h2 @ e12 )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl36026]) ).
thf(zip_derived_cl589_119,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl36030,plain,
( ( e21
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36028,zip_derived_cl589]) ).
thf(zip_derived_cl36471,plain,
( ( e21
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl36030]) ).
thf(zip_derived_cl36475,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl36471]) ).
thf('39',plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36475]) ).
thf(zip_derived_cl1821_120,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1861_121,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1637,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1876_122,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl8034,plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23807_123,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl23813_124,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl36018,plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8034,zip_derived_cl23807,zip_derived_cl23813]) ).
thf(zip_derived_cl36021,plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl36018]) ).
thf(zip_derived_cl37394,plain,
( ( ( h2 @ e13 )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl36021]) ).
thf(zip_derived_cl23807_125,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl37398,plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37394,zip_derived_cl23807]) ).
thf(zip_derived_cl37444,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl37398]) ).
thf(zip_derived_cl37453,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl37444]) ).
thf('40',plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37453]) ).
thf(zip_derived_cl1871_126,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1660_127,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl8028,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23809_128,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl589_129,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl35987,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8028,zip_derived_cl23809,zip_derived_cl589]) ).
thf(zip_derived_cl35988,plain,
( ( ( h2 @ e12 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl35987]) ).
thf(zip_derived_cl589_130,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl35990,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35988,zip_derived_cl589]) ).
thf(zip_derived_cl36084,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl35990]) ).
thf('41',plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36084]) ).
thf(zip_derived_cl1842_131,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1876_132,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1679_133,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl8023,plain,
( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23813_134,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl23809_135,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl35953,plain,
( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8023,zip_derived_cl23813,zip_derived_cl23809]) ).
thf(zip_derived_cl35954,plain,
( ( ( h2 @ e11 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl35953]) ).
thf(zip_derived_cl23809_136,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl35956,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35954,zip_derived_cl23809]) ).
thf(zip_derived_cl36292,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl35956]) ).
thf(zip_derived_cl36302,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl36292]) ).
thf('42',plain,
( ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36302]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) ) ) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_20
=> ( ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl324,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('43',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ~ zip_tseitin_20
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl1865_137,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1861_138,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1657_139,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl8029,plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23809_140,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl23807_141,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl35992,plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e20 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8029,zip_derived_cl23809,zip_derived_cl23807]) ).
thf(zip_derived_cl35995,plain,
( ( ( h2 @ e13 )
!= ( op2 @ e20 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl35992]) ).
thf(zip_derived_cl23807_142,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl35998,plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35995,zip_derived_cl23807]) ).
thf(zip_derived_cl36638,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl35998]) ).
thf(zip_derived_cl36660,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl36638]) ).
thf('44',plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36660]) ).
thf(zip_derived_cl1631,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1623_143,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
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_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23879,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl97]) ).
thf(zip_derived_cl28100,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1631,zip_derived_cl23879]) ).
thf('45',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28100]) ).
thf(zip_derived_cl1814_144,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1623_145,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1861_146,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl8037,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23807_147,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl23807_148,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl36038,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8037,zip_derived_cl23807,zip_derived_cl23807]) ).
thf(zip_derived_cl36041,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl36038]) ).
thf(zip_derived_cl36500,plain,
( ( ( h2 @ e11 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl36041]) ).
thf(zip_derived_cl23809_149,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl36504,plain,
( ( e20
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36500,zip_derived_cl23809]) ).
thf(zip_derived_cl36507,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl36504]) ).
thf('46',plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36507]) ).
thf(zip_derived_cl1866_150,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_151,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1667_152,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl8026,plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23809_153,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl23813_154,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl582_155,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl35973,plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( h1 @ e13 ) )
<= ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8026,zip_derived_cl23809,zip_derived_cl23813,zip_derived_cl582]) ).
thf(zip_derived_cl35974,plain,
( ( ( h2 @ e11 )
!= ( h1 @ e13 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl35973]) ).
thf(zip_derived_cl23809_156,plain,
( ( h2 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl23774]) ).
thf(zip_derived_cl35977,plain,
( ( e20
!= ( h1 @ e13 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35974,zip_derived_cl23809]) ).
thf(zip_derived_cl36051,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl35977]) ).
thf(zip_derived_cl36054,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl36051]) ).
thf('47',plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36054]) ).
thf(zip_derived_cl1847_157,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1861_158,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1640,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl8033,plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl589_159,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23807_160,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl36013,plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e21 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8033,zip_derived_cl589,zip_derived_cl23807]) ).
thf(zip_derived_cl36015,plain,
( ( ( h2 @ e12 )
!= ( op2 @ e21 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl36013]) ).
thf(zip_derived_cl589_161,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl36017,plain,
( ( e21
!= ( op2 @ e21 @ ( op2 @ e21 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36015,zip_derived_cl589]) ).
thf(zip_derived_cl36433,plain,
( ( e21
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl36017]) ).
thf(zip_derived_cl36435,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl36433]) ).
thf('48',plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36435]) ).
thf(zip_derived_cl1832_162,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1876_163,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1670,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1861_164,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl8025,plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23813_165,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl23807_166,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl35965,plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e21 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8025,zip_derived_cl23813,zip_derived_cl23807]) ).
thf(zip_derived_cl35968,plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl35965]) ).
thf(zip_derived_cl36966,plain,
( ( ( h2 @ e10 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl35968]) ).
thf(zip_derived_cl23813_167,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl36970,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36966,zip_derived_cl23813]) ).
thf(zip_derived_cl37050,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl36970]) ).
thf(zip_derived_cl37075,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl37050]) ).
thf('49',plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37075]) ).
thf(zip_derived_cl1852_168,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1876_169,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1650,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl8030,plain,
( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl589_170,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl23813_171,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl35999,plain,
( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e21 @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8030,zip_derived_cl589,zip_derived_cl23813]) ).
thf(zip_derived_cl36000,plain,
( ( ( h2 @ e10 )
!= ( op2 @ e21 @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl35999]) ).
thf(zip_derived_cl23813_172,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl36002,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ ( op2 @ e20 @ e20 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36000,zip_derived_cl23813]) ).
thf(zip_derived_cl36665,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl36002]) ).
thf(zip_derived_cl36674,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl36665]) ).
thf('50',plain,
( ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36674]) ).
thf(zip_derived_cl1876_173,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1824_174,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1861_175,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1626,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl8036,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23807_176,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl589_177,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl36031,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e21 ) )
<= ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8036,zip_derived_cl23807,zip_derived_cl589]) ).
thf(zip_derived_cl36032,plain,
( ( ( h2 @ e10 )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl36031]) ).
thf(zip_derived_cl23813_178,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl36035,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ ( op2 @ e21 @ e20 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36032,zip_derived_cl23813]) ).
thf(zip_derived_cl36740,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl36035]) ).
thf(zip_derived_cl36767,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl36740]) ).
thf(zip_derived_cl36780,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl36767]) ).
thf('51',plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36780]) ).
thf(zip_derived_cl859,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e12 )
!= e21 )
| ( ( h2 @ e11 )
!= 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('52',plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ e12 )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ e11 )
!= e20 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl859]) ).
thf(zip_derived_cl1876_179,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl26335_180,plain,
( ( ( h4 @ e10 )
= ( op2 @ e20 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl596]) ).
thf(zip_derived_cl18279,plain,
( ( ( h4 @ e10 )
!= e22 )
<= ( ( h4 @ e10 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl30624,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( ( h4 @ e10 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26335,zip_derived_cl18279]) ).
thf(zip_derived_cl30642,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e10 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl30624]) ).
thf('53',plain,
( ( ( h4 @ e10 )
= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30642]) ).
thf(zip_derived_cl1876_181,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl8039,plain,
( ( ( h2 @ e10 )
!= e22 )
<= ( ( h2 @ e10 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23813_182,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl23774,zip_derived_cl23774]) ).
thf(zip_derived_cl23834,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( h2 @ e10 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl8039,zip_derived_cl23813]) ).
thf(zip_derived_cl27117,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ e10 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl23834]) ).
thf('54',plain,
( ( ( h2 @ e10 )
= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27117]) ).
thf(zip_derived_cl1861_183,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl8041,plain,
( ( ( h2 @ e13 )
!= e23 )
<= ( ( h2 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl23807_184,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl23774]) ).
thf(zip_derived_cl23836,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( h2 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl8041,zip_derived_cl23807]) ).
thf(zip_derived_cl26959,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ e13 )
!= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl23836]) ).
thf('55',plain,
( ( ( h2 @ e13 )
= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26959]) ).
thf(zip_derived_cl1827_185,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26334_186,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1814,zip_derived_cl594]) ).
thf(zip_derived_cl18280,plain,
( ( ( h4 @ e13 )
!= e21 )
<= ( ( h4 @ e13 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl30588,plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
<= ( ( ( h4 @ e13 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26334,zip_derived_cl18280]) ).
thf(zip_derived_cl30595,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ e13 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl30588]) ).
thf('56',plain,
( ( ( h4 @ e13 )
= e21 )
| ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30595]) ).
thf(zip_derived_cl1814_187,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1367,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl18299,plain,
( ( ( h4 @ e11 )
!= e20 )
<= ( ( h4 @ e11 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1367]) ).
thf(zip_derived_cl595_188,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26722,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
<= ( ( h4 @ e11 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl18299,zip_derived_cl595]) ).
thf(zip_derived_cl26723,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ e11 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl26722]) ).
thf('57',plain,
( ( ( h4 @ e11 )
= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26723]) ).
thf(zip_derived_cl1860,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1852_189,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
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_cl26872,plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl160]) ).
thf(zip_derived_cl29257,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1860,zip_derived_cl26872]) ).
thf('58',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29257]) ).
thf(zip_derived_cl1821_190,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1819_191,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26474,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1821,zip_derived_cl1819]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('59',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26474,zip_derived_cl199]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_50
=> ( ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl494,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('60',plain,
( ~ zip_tseitin_50
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl507,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('61',plain,
( ~ zip_tseitin_52
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl1859,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1827_192,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
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_cl26579,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl187]) ).
thf(zip_derived_cl29001,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl26579]) ).
thf('62',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29001]) ).
thf(zip_derived_cl1829,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1827_193,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26615,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl1827]) ).
thf(zip_derived_cl199_194,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('63',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26615,zip_derived_cl199]) ).
thf(zip_derived_cl1832_195,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1824_196,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1815,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl594_197,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26353,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47086_198,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl47083]) ).
thf(zip_derived_cl47843,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl47086]) ).
thf(zip_derived_cl48029,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47843]) ).
thf(zip_derived_cl48031,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl48029]) ).
thf('64',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48031]) ).
thf(zip_derived_cl1869_199,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1824_200,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1672_201,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl26353_202,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl18265_203,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl46967,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl18265]) ).
thf(zip_derived_cl1815_204,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl596_205,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26354,plain,
( ( ( h4 @ e10 )
= ( op2 @ e21 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl596]) ).
thf(zip_derived_cl23774_206,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl26357,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl46975,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46967,zip_derived_cl26357]) ).
thf(zip_derived_cl48193,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl46975]) ).
thf(zip_derived_cl597_207,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl48197,plain,
( ( e23
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48193,zip_derived_cl597]) ).
thf(zip_derived_cl48215,plain,
( ( e23
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48197]) ).
thf(zip_derived_cl48219,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl48215]) ).
thf('65',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48219]) ).
thf(zip_derived_cl1876_208,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1824_209,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1685_210,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl26357_211,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl18262_212,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl46923,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl18262]) ).
thf(zip_derived_cl47956,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl46923]) ).
thf(zip_derived_cl26353_213,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47960,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47956,zip_derived_cl26353]) ).
thf(zip_derived_cl47985,plain,
( ( e22
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47960]) ).
thf(zip_derived_cl47994,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl47985]) ).
thf('66',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47994]) ).
thf(zip_derived_cl1660_214,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1628,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
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_cl23966,plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl127]) ).
thf(zip_derived_cl28223,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl23966]) ).
thf('67',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28223]) ).
thf(zip_derived_cl1862,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26357_215,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl46962_216,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl46961]) ).
thf(zip_derived_cl47450,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl46962]) ).
thf(zip_derived_cl47456,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl47450]) ).
thf('68',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47456]) ).
thf(zip_derived_cl1842_217,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1824_218,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1634_219,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl26357_220,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl18274_221,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl47051,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl18274]) ).
thf(zip_derived_cl26353_222,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47059,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47051,zip_derived_cl26353]) ).
thf(zip_derived_cl48454,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl47059]) ).
thf(zip_derived_cl26357_223,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl48458,plain,
( ( e20
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48454,zip_derived_cl26357]) ).
thf(zip_derived_cl48463,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48458]) ).
thf(zip_derived_cl48464,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl48463]) ).
thf('69',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48464]) ).
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_cl47,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('70',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1671,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1655_224,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
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_cl24376,plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl125]) ).
thf(zip_derived_cl28529,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1671,zip_derived_cl24376]) ).
thf('71',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28529]) ).
thf(zip_derived_cl1829_225,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26357_226,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl47029_227,plain,
( ( e23
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47028,zip_derived_cl597]) ).
thf(zip_derived_cl47212,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl47029]) ).
thf(zip_derived_cl47226,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl47212]) ).
thf('72',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47226]) ).
thf(zip_derived_cl1684_228,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1652_229,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_cl24332,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl142]) ).
thf(zip_derived_cl28490,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl24332]) ).
thf('73',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28490]) ).
thf(zip_derived_cl1652_230,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1636_231,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24090,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1636,zip_derived_cl138]) ).
thf(zip_derived_cl28331,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl24090]) ).
thf('74',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28331]) ).
thf(zip_derived_cl1818_232,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1824_233,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_234,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47047_235,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl47046]) ).
thf(zip_derived_cl47719,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl47047]) ).
thf(zip_derived_cl26357_236,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl47723,plain,
( ( e20
!= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47719,zip_derived_cl26357]) ).
thf(zip_derived_cl47731,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47723]) ).
thf(zip_derived_cl47733,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1818,zip_derived_cl47731]) ).
thf('75',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47733]) ).
thf(zip_derived_cl1876_237,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1684_238,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl13142,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23829_239,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl23829_240,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41824,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13142,zip_derived_cl23829,zip_derived_cl23829]) ).
thf(zip_derived_cl41827,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl41824]) ).
thf(zip_derived_cl593,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41831,plain,
( ( e22
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41827,zip_derived_cl593]) ).
thf(zip_derived_cl41894,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl41831]) ).
thf('76',plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41894]) ).
thf(zip_derived_cl1869_241,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1677_242,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl13144,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23829_243,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl593_244,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41838,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13144,zip_derived_cl23829,zip_derived_cl593]) ).
thf(zip_derived_cl41841,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl41838]) ).
thf(zip_derived_cl29850_245,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41844,plain,
( ( e23
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41841,zip_derived_cl29850]) ).
thf(zip_derived_cl41972,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl41844]) ).
thf('77',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41972]) ).
thf(zip_derived_cl1677_246,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1676,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24699,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1676]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('78',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24699,zip_derived_cl192]) ).
thf(zip_derived_cl1661,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1657_247,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_cl24405,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl108]) ).
thf(zip_derived_cl28551,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1661,zip_derived_cl24405]) ).
thf('79',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28551]) ).
thf(zip_derived_cl1680,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1632_248,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
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_cl24032,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl135]) ).
thf(zip_derived_cl28277,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl24032]) ).
thf('80',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28277]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('81',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl1829_249,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1637_250,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl41904_251,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13154,zip_derived_cl29850,zip_derived_cl23829]) ).
thf(zip_derived_cl41908,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl41904]) ).
thf(zip_derived_cl29850_252,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41912,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41908,zip_derived_cl29850]) ).
thf(zip_derived_cl42136,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl41912]) ).
thf('82',plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42136]) ).
thf(zip_derived_cl1685_253,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1637_254,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24110,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl141]) ).
thf(zip_derived_cl28357,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl24110]) ).
thf('83',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28357]) ).
thf(zip_derived_cl1637_255,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1625,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
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_cl23916,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1625,zip_derived_cl99]) ).
thf(zip_derived_cl28159,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl23916]) ).
thf('84',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28159]) ).
thf(zip_derived_cl1862_256,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1670_257,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl41845_258,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13145,zip_derived_cl23829,zip_derived_cl29850]) ).
thf(zip_derived_cl41846,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl41845]) ).
thf(zip_derived_cl23829_259,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41850,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41846,zip_derived_cl23829]) ).
thf(zip_derived_cl41979,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl41850]) ).
thf('85',plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41979]) ).
thf(zip_derived_cl1818_260,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1626_261,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl13156,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl29850_262,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl593_263,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41918,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13156,zip_derived_cl29850,zip_derived_cl593]) ).
thf(zip_derived_cl41919,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl41918]) ).
thf(zip_derived_cl23829_264,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41922,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41919,zip_derived_cl23829]) ).
thf(zip_derived_cl42157,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1818,zip_derived_cl41922]) ).
thf('86',plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42157]) ).
thf(zip_derived_cl1832_265,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1640_266,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl13153,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl593_267,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl29850_268,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41899,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13153,zip_derived_cl593,zip_derived_cl29850]) ).
thf(zip_derived_cl41901,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl41899]) ).
thf(zip_derived_cl593_269,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41903,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41901,zip_derived_cl593]) ).
thf(zip_derived_cl42098,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl41903]) ).
thf('87',plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42098]) ).
thf(zip_derived_cl1842_270,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1650_271,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl13150,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl593_272,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl23829_273,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41885,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13150,zip_derived_cl593,zip_derived_cl23829]) ).
thf(zip_derived_cl41886,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl41885]) ).
thf(zip_derived_cl23829_274,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41888,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41886,zip_derived_cl23829]) ).
thf(zip_derived_cl42078,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl41888]) ).
thf('88',plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42078]) ).
thf(zip_derived_cl1684_275,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl27120_276,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl598,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_5]) ).
thf(zip_derived_cl2902,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_cl598]) ).
thf(zip_derived_cl29467,plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl2902]) ).
thf(zip_derived_cl23774_277,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl29473,plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29467,zip_derived_cl23774]) ).
thf(zip_derived_cl30001,plain,
( ( ( h1 @ e12 )
!= e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl29473]) ).
thf(zip_derived_cl585,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl30005,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30001,zip_derived_cl585]) ).
thf('89',plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30005]) ).
thf(zip_derived_cl1869_278,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_279,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1669_280,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl27120_281,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl2906,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_cl598]) ).
thf(zip_derived_cl583,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29504,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2906,zip_derived_cl583]) ).
thf(zip_derived_cl29507,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl29504]) ).
thf(zip_derived_cl1876_282,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29514,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29507,zip_derived_cl1876]) ).
thf(zip_derived_cl23769_283,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl30346,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29514,zip_derived_cl23769]) ).
thf(zip_derived_cl30349,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl30346]) ).
thf(zip_derived_cl31091,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl30349]) ).
thf(zip_derived_cl31183,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31091]) ).
thf('90',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31183]) ).
thf(zip_derived_cl1849,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1869_284,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_285,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1673_286,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl27120_287,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl2905,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_cl598]) ).
thf(zip_derived_cl29501,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e21 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl2905]) ).
thf(zip_derived_cl30420,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl29501]) ).
thf(zip_derived_cl31099,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl30420]) ).
thf(zip_derived_cl31439,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31099]) ).
thf(zip_derived_cl31442,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl31439]) ).
thf('91',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31442]) ).
thf(zip_derived_cl1842_288,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1876_289,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1660_290,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2908,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_cl598]) ).
thf(zip_derived_cl583_291,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl585_292,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29520,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2908,zip_derived_cl583,zip_derived_cl585]) ).
thf(zip_derived_cl29523,plain,
( ( ( h1 @ e12 )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl29520]) ).
thf(zip_derived_cl585_293,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29526,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29523,zip_derived_cl585]) ).
thf(zip_derived_cl30278,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl29526]) ).
thf(zip_derived_cl30282,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl30278]) ).
thf('92',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30282]) ).
thf(zip_derived_cl1832_294,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1869_295,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_296,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1655_297,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1876_298,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl2909,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_cl598]) ).
thf(zip_derived_cl583_299,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29527,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2909,zip_derived_cl583]) ).
thf(zip_derived_cl29531,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e22 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl29527]) ).
thf(zip_derived_cl30481,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl29531]) ).
thf(zip_derived_cl583_300,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1876_301,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl30484,plain,
( ( e22
!= ( op2 @ e22 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30481,zip_derived_cl583,zip_derived_cl1876]) ).
thf(zip_derived_cl31107,plain,
( ( e22
!= ( op2 @ e22 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl30484]) ).
thf(zip_derived_cl31288,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31107]) ).
thf(zip_derived_cl31298,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl31288]) ).
thf('93',plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31298]) ).
thf(zip_derived_cl1852_302,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1679_303,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1876_304,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl2903,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_cl598]) ).
thf(zip_derived_cl583_305,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29477,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2903,zip_derived_cl583]) ).
thf(zip_derived_cl29480,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl29477]) ).
thf(zip_derived_cl27120_306,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl29487,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29480,zip_derived_cl27120]) ).
thf(zip_derived_cl30314,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl29487]) ).
thf(zip_derived_cl583_307,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1876_308,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl30316,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30314,zip_derived_cl583,zip_derived_cl1876]) ).
thf(zip_derived_cl30318,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl30316]) ).
thf('94',plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30318]) ).
thf(zip_derived_cl1818_309,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1869_310,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_311,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1632_312,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1876_313,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl2915,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_cl598]) ).
thf(zip_derived_cl583_314,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29563,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2915,zip_derived_cl583]) ).
thf(zip_derived_cl29566,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl29563]) ).
thf(zip_derived_cl30562,plain,
( ( ( h1 @ e12 )
!= ( op2 @ ( h1 @ e13 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl29566]) ).
thf(zip_derived_cl585_315,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl30564,plain,
( ( e20
!= ( op2 @ ( h1 @ e13 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30562,zip_derived_cl585]) ).
thf(zip_derived_cl31123,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl30564]) ).
thf(zip_derived_cl31379,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31123]) ).
thf(zip_derived_cl31383,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1818,zip_derived_cl31379]) ).
thf('95',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31383]) ).
thf(zip_derived_cl1829_316,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1869_317,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_318,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1629_319,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl2916,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_cl598]) ).
thf(zip_derived_cl585_320,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29571,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ e20 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2916,zip_derived_cl585]) ).
thf(zip_derived_cl29575,plain,
( ( ( h1 @ e13 )
!= ( op2 @ ( h1 @ e13 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl29571]) ).
thf(zip_derived_cl31084,plain,
( ( ( op2 @ e20 @ e22 )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl29575]) ).
thf(zip_derived_cl31423,plain,
( ( e23
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31084]) ).
thf(zip_derived_cl31432,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl31423]) ).
thf('96',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31432]) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_0
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('97',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf(zip_derived_cl1862_321,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1869_322,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_323,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1640_324,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2913,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_cl598]) ).
thf(zip_derived_cl585_325,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29552,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e20 @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2913,zip_derived_cl585]) ).
thf(zip_derived_cl29554,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e20 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl29552]) ).
thf(zip_derived_cl585_326,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29556,plain,
( ( e20
!= ( op2 @ e20 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29554,zip_derived_cl585]) ).
thf(zip_derived_cl31081,plain,
( ( e20
!= ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl29556]) ).
thf(zip_derived_cl31214,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31081]) ).
thf(zip_derived_cl31217,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl31214]) ).
thf('98',plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31217]) ).
thf(zip_derived_cl1871_327,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27120_328,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl1650_329,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl2910,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_cl598]) ).
thf(zip_derived_cl585_330,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29535,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e20 @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2910,zip_derived_cl585]) ).
thf(zip_derived_cl29536,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl29535]) ).
thf(zip_derived_cl30236,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl29536]) ).
thf(zip_derived_cl30240,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl30236]) ).
thf('99',plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30240]) ).
thf(zip_derived_cl1859_331,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl27120_332,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl1674_333,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2904,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_cl598]) ).
thf(zip_derived_cl585_334,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29491,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ e20 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2904,zip_derived_cl585]) ).
thf(zip_derived_cl29492,plain,
( ( ( h1 @ e10 )
!= ( op2 @ ( h1 @ e10 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl29491]) ).
thf(zip_derived_cl30199,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl29492]) ).
thf(zip_derived_cl30203,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl30199]) ).
thf('100',plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30203]) ).
thf(zip_derived_cl1824_335,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1869_336,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_337,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl1635_338,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl27120_339,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl2914,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_cl598]) ).
thf(zip_derived_cl29559,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl2914]) ).
thf(zip_derived_cl30536,plain,
( ( ( h1 @ e11 )
!= ( op2 @ ( h1 @ e13 ) @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl29559]) ).
thf(zip_derived_cl583_340,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1876_341,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl30540,plain,
( ( e22
!= ( op2 @ ( h1 @ e13 ) @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30536,zip_derived_cl583,zip_derived_cl1876]) ).
thf(zip_derived_cl31118,plain,
( ( e22
!= ( op2 @ ( op2 @ e20 @ e22 ) @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl30540]) ).
thf(zip_derived_cl31337,plain,
( ( e22
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31118]) ).
thf(zip_derived_cl31349,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl31337]) ).
thf('101',plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31349]) ).
thf(zip_derived_cl1815_342,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1622_343,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1869_344,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_345,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl2917,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_cl598]) ).
thf(zip_derived_cl31071,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl2917]) ).
thf(zip_derived_cl31512,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31071]) ).
thf(zip_derived_cl31534,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl31512]) ).
thf(zip_derived_cl27120_346,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl31538,plain,
( ( e21
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31534,zip_derived_cl27120]) ).
thf(zip_derived_cl31544,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl31538]) ).
thf('102',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31544]) ).
thf(zip_derived_cl628,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e11 )
!= e22 )
| ( ( h1 @ e10 )
!= 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_5]) ).
thf('103',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ e11 )
!= e22 )
| ( ( h1 @ e12 )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl628]) ).
thf(zip_derived_cl1869_347,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27109_348,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl582]) ).
thf(zip_derived_cl2921,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl598]) ).
thf(zip_derived_cl31074,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
<= ( ( ( h1 @ e13 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27109,zip_derived_cl2921]) ).
thf(zip_derived_cl31141,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ e13 )
!= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl31074]) ).
thf('104',plain,
( ( ( h1 @ e13 )
= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31141]) ).
thf('105',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1831,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl580_349,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23763,plain,
( e21
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl580]) ).
thf(zip_derived_cl29805,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl23763]) ).
thf('106',plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29805]) ).
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_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('107',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1873,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
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_cl1841,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26766,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl184]) ).
thf(zip_derived_cl29158,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1873,zip_derived_cl26766]) ).
thf('108',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29158]) ).
thf(zip_derived_cl27120_350,plain,
( ( ( h1 @ e10 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl27110,zip_derived_cl580]) ).
thf(zip_derived_cl610,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e10 )
!= 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_5]) ).
thf(zip_derived_cl3159,plain,
( ( ( h1 @ e10 )
!= e21 )
<= ( ( h1 @ e10 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl610]) ).
thf(zip_derived_cl29458,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ e10 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27120,zip_derived_cl3159]) ).
thf('109',plain,
( ( ( h1 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29458]) ).
thf(zip_derived_cl1876_351,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1868_352,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27015,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl166]) ).
thf(zip_derived_cl29382,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl27015]) ).
thf('110',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29382]) ).
thf(zip_derived_cl1876_353,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl583_354,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl614,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e11 )
!= 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_5]) ).
thf(zip_derived_cl3239,plain,
( ( ( h1 @ e11 )
!= e22 )
<= ( ( h1 @ e11 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl614]) ).
thf(zip_derived_cl23794,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( h1 @ e11 )
!= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl3239]) ).
thf(zip_derived_cl28060,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ e11 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl23794]) ).
thf('111',plain,
( ( ( h1 @ e11 )
= e22 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28060]) ).
thf(zip_derived_cl1862_355,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1830,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_cl26630,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1830,zip_derived_cl172]) ).
thf(zip_derived_cl29055,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl26630]) ).
thf('112',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29055]) ).
thf(zip_derived_cl1865_356,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1862_357,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26991,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1862]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('113',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26991,zip_derived_cl201]) ).
thf('114',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('115',plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1870,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23774_358,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl23780,plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl23774]) ).
thf(zip_derived_cl29915,plain,
( ( e20 != e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl23780]) ).
thf('116',plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl29915]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_49
=> ( ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl488,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('117',plain,
( ~ zip_tseitin_49
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl488]) ).
thf(zip_derived_cl462,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('118',plain,
( ~ zip_tseitin_44
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl462]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_34
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl411,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('119',plain,
( ~ zip_tseitin_34
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl411]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_38
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl431,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('120',plain,
( ~ zip_tseitin_38
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_56
=> ( ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl527,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('121',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl527]) ).
thf(zip_derived_cl1817,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1814_359,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26402,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1817,zip_derived_cl1814]) ).
thf(zip_derived_cl201_360,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('122',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26402,zip_derived_cl201]) ).
thf(zip_derived_cl1816,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1814_361,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26379,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1816,zip_derived_cl1814]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('123',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26379,zip_derived_cl202]) ).
thf(zip_derived_cl1820_362,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1818_363,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26457,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1820,zip_derived_cl1818]) ).
thf(zip_derived_cl202_364,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('124',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26457,zip_derived_cl202]) ).
thf(zip_derived_cl1853,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1851,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26884,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1851]) ).
thf(zip_derived_cl199_365,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('125',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26884,zip_derived_cl199]) ).
thf(zip_derived_cl1852_366,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1851_367,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26875,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1851]) ).
thf(zip_derived_cl200_368,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('126',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26875,zip_derived_cl200]) ).
thf(zip_derived_cl1861_369,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1858,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26955,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1858]) ).
thf(zip_derived_cl201_370,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('127',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26955,zip_derived_cl201]) ).
thf(zip_derived_cl1860_371,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1858_372,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26944,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1860,zip_derived_cl1858]) ).
thf(zip_derived_cl202_373,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('128',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26944,zip_derived_cl202]) ).
thf(zip_derived_cl1819_374,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1818_375,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26441,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1819,zip_derived_cl1818]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('129',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26441,zip_derived_cl203]) ).
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('130',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1840,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1838,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26755,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1840,zip_derived_cl1838]) ).
thf(zip_derived_cl202_376,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('131',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26755,zip_derived_cl202]) ).
thf(zip_derived_cl1833,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1830_377,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26679,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1833,zip_derived_cl1830]) ).
thf(zip_derived_cl201_378,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('132',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26679,zip_derived_cl201]) ).
thf(zip_derived_cl1845,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1844_379,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26806,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1845,zip_derived_cl1844]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('133',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26806,zip_derived_cl198]) ).
thf(zip_derived_cl526,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('134',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl526]) ).
thf(zip_derived_cl529,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('135',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl529]) ).
thf(zip_derived_cl530,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('136',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl530]) ).
thf(zip_derived_cl531,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('137',plain,
( ~ zip_tseitin_56
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl531]) ).
thf(zip_derived_cl1859_380,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1858_381,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26934,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1859,zip_derived_cl1858]) ).
thf(zip_derived_cl203_382,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('138',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26934,zip_derived_cl203]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_36
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl420,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('139',plain,
( ~ zip_tseitin_36
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
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('140',plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zf_stmt_14,axiom,
( zip_tseitin_40
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl442,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('141',plain,
( ~ zip_tseitin_40
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl442]) ).
thf(zip_derived_cl408,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('142',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_34
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl408]) ).
thf(zf_stmt_15,axiom,
( zip_tseitin_46
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl468,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('143',plain,
( ~ zip_tseitin_46
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl468]) ).
thf(zf_stmt_16,axiom,
( zip_tseitin_39
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl437,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('144',plain,
( ~ zip_tseitin_39
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl437]) ).
thf(zip_derived_cl1817_383,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1816_384,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26404,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1817,zip_derived_cl1816]) ).
thf(zip_derived_cl198_385,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('145',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26404,zip_derived_cl198]) ).
thf(zf_stmt_17,axiom,
( zip_tseitin_48
=> ( ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl482,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('146',plain,
( ~ zip_tseitin_48
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl482]) ).
thf(zip_derived_cl481,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('147',plain,
( ~ zip_tseitin_48
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl481]) ).
thf(zf_stmt_18,axiom,
( zip_tseitin_61
=> ( ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl561,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('148',plain,
( ~ zip_tseitin_61
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl561]) ).
thf(zip_derived_cl1841_386,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1833_387,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26675,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl151]) ).
thf(zip_derived_cl29103,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl26675]) ).
thf('149',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29103]) ).
thf(zf_stmt_19,axiom,
( zip_tseitin_62
=> ( ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl566,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('150',plain,
( ~ zip_tseitin_62
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl566]) ).
thf(zf_stmt_20,axiom,
( zip_tseitin_54
=> ( ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl518,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('151',plain,
( ~ zip_tseitin_54
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl518]) ).
thf(zf_stmt_21,axiom,
( zip_tseitin_53
=> ( ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl512,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('152',plain,
( ~ zip_tseitin_53
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_58
=> ( ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl542,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('153',plain,
( ~ zip_tseitin_58
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl542]) ).
thf(zip_derived_cl539,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('154',plain,
( ~ zip_tseitin_58
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl539]) ).
thf(zf_stmt_23,axiom,
( zip_tseitin_57
=> ( ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl537,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('155',plain,
( ~ zip_tseitin_57
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl537]) ).
thf(zf_stmt_24,axiom,
( zip_tseitin_63
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl572,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('156',plain,
( ~ zip_tseitin_63
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl572]) ).
thf(zip_derived_cl568,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('157',plain,
( ~ zip_tseitin_63
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl568]) ).
thf(zip_derived_cl505,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('158',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_52 ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl553,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('159',plain,
( ~ zip_tseitin_60
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl553]) ).
thf(zf_stmt_25,axiom,
( zip_tseitin_51
=> ( ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl500,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('160',plain,
( ~ zip_tseitin_51
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl500]) ).
thf(zip_derived_cl495,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('161',plain,
( ~ zip_tseitin_50
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl495]) ).
thf(zip_derived_cl1877,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1829_388,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26613,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl189]) ).
thf(zip_derived_cl29038,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl26613]) ).
thf('162',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29038]) ).
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('163',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl1825,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1824_389,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26544,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1824]) ).
thf(zip_derived_cl198_390,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('164',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26544,zip_derived_cl198]) ).
thf(zip_derived_cl67,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('165',plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1828,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1826_391,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26597,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1826]) ).
thf(zip_derived_cl202_392,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('166',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26597,zip_derived_cl202]) ).
thf(zip_derived_cl1827_393,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1826_394,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26581,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1827,zip_derived_cl1826]) ).
thf(zip_derived_cl203_395,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('167',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26581,zip_derived_cl203]) ).
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('168',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl1869_396,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1866_397,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27025,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1866]) ).
thf(zip_derived_cl201_398,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('169',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27025,zip_derived_cl201]) ).
thf('170',plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
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('171',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_cl1660_399,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1658,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24453,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1660,zip_derived_cl1658]) ).
thf(zip_derived_cl196_400,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('172',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24453,zip_derived_cl196]) ).
thf(zip_derived_cl1677_401,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1674_402,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24697,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1677,zip_derived_cl1674]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('173',plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24697,zip_derived_cl195]) ).
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('174',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1668,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1652_403,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
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_cl24331,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl140]) ).
thf(zip_derived_cl28485,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1668,zip_derived_cl24331]) ).
thf('175',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28485]) ).
thf(zip_derived_cl1670_404,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1638_405,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_cl24129,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl124]) ).
thf(zip_derived_cl28374,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl24129]) ).
thf('176',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28374]) ).
thf(zf_stmt_26,axiom,
( zip_tseitin_28
=> ( ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl376,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('177',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zf_stmt_27,axiom,
( zip_tseitin_23
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl342,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('178',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_23 ),
inference(split,[status(esa)],[zip_derived_cl342]) ).
thf(zip_derived_cl1673_406,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1670_407,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24638,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1673,zip_derived_cl1670]) ).
thf(zip_derived_cl195_408,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('179',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24638,zip_derived_cl195]) ).
thf(zip_derived_cl1633,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1631_409,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24050,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1633,zip_derived_cl1631]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('180',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24050,zip_derived_cl193]) ).
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('181',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1636_410,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1635_411,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24094,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1636,zip_derived_cl1635]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('182',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24094,zip_derived_cl194]) ).
thf(zip_derived_cl1627,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1626_412,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23952,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1627,zip_derived_cl1626]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('183',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23952,zip_derived_cl197]) ).
thf(zip_derived_cl1640_413,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1624,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
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_cl23899,plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1624,zip_derived_cl120]) ).
thf(zip_derived_cl28134,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl23899]) ).
thf('184',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28134]) ).
thf(zip_derived_cl1680_414,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1676_415,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24680,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl116]) ).
thf(zip_derived_cl28705,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl24680]) ).
thf('185',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28705]) ).
thf(zip_derived_cl1680_416,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1672_417,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24619,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl115]) ).
thf(zip_derived_cl28660,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl24619]) ).
thf('186',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28660]) ).
thf('187',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1681,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
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_cl1649,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_cl24286,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl136]) ).
thf(zip_derived_cl28461,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl24286]) ).
thf('188',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28461]) ).
thf(zip_derived_cl1678,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23749_418,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl23755,plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl23749]) ).
thf(zip_derived_cl29796,plain,
( ( e10 != e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl23755]) ).
thf('189',plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl29796]) ).
thf(zip_derived_cl1655_419,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1623_420,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_cl23882,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl121]) ).
thf(zip_derived_cl28110,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl23882]) ).
thf('190',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28110]) ).
thf(zip_derived_cl1683,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1679_421,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24722,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl119]) ).
thf(zip_derived_cl28729,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl24722]) ).
thf('191',plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28729]) ).
thf(zip_derived_cl1683_422,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1682,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl24777,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1683,zip_derived_cl1682]) ).
thf(zip_derived_cl197_423,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('192',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24777,zip_derived_cl197]) ).
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('193',plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl13151,plain,
( ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23748_424,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl577]) ).
thf(zip_derived_cl29850_425,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl593_426,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl23822_427,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl23769_428,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl41890,plain,
( ( e23 != e23 )
<= ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13151,zip_derived_cl23748,zip_derived_cl29850,zip_derived_cl593,zip_derived_cl23822,zip_derived_cl23769]) ).
thf('194',plain,
( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41890]) ).
thf(zip_derived_cl13158,plain,
( ( ( h3 @ e10 )
!= e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23829_429,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl25323,plain,
( ( e20 != e20 )
<= ( ( h3 @ e10 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl13158,zip_derived_cl23829]) ).
thf('195',plain,
( ( h3 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl25323]) ).
thf(zip_derived_cl13152,plain,
( ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl577_430,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23822_431,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl593_432,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl593_433,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl580_434,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl41897,plain,
( ( e21 != e21 )
<= ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13152,zip_derived_cl577,zip_derived_cl23822,zip_derived_cl593,zip_derived_cl593,zip_derived_cl580]) ).
thf('196',plain,
( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41897]) ).
thf(zip_derived_cl1118,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e10 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl13320,plain,
( ( ( h3 @ e11 )
!= e21 )
<= ( ( h3 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1118]) ).
thf(zip_derived_cl23822_435,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl25362,plain,
( ( e21 != e21 )
<= ( ( h3 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl13320,zip_derived_cl23822]) ).
thf('197',plain,
( ( h3 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl25362]) ).
thf(zip_derived_cl1841_436,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl13161,plain,
( ( ( h3 @ e13 )
!= e23 )
<= ( ( h3 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23819_437,plain,
( ( h3 @ e13 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl580]) ).
thf(zip_derived_cl25327,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( h3 @ e13 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl13161,zip_derived_cl23819]) ).
thf(zip_derived_cl26771,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ e13 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl25327]) ).
thf('198',plain,
( ( ( h3 @ e13 )
= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26771]) ).
thf(zip_derived_cl13147,plain,
( ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23749_438,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl23829_439,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl23822_440,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl23822_441,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl23774_442,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl41866,plain,
( ( e20 != e20 )
<= ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13147,zip_derived_cl23749,zip_derived_cl23829,zip_derived_cl23822,zip_derived_cl23822,zip_derived_cl23774]) ).
thf('199',plain,
( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41866]) ).
thf(zip_derived_cl1142,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e12 )
!= e22 )
| ( ( h3 @ e13 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl13798,plain,
( ( ( h3 @ e12 )
!= e22 )
<= ( ( h3 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1142]) ).
thf(zip_derived_cl593_443,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl25471,plain,
( ( e22 != e22 )
<= ( ( h3 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl13798,zip_derived_cl593]) ).
thf('200',plain,
( ( h3 @ e12 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl25471]) ).
thf(zip_derived_cl1849_444,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1657_445,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl41878_446,plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13149,zip_derived_cl23822,zip_derived_cl29850]) ).
thf(zip_derived_cl41881,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl41878]) ).
thf(zip_derived_cl29850_447,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41884,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41881,zip_derived_cl29850]) ).
thf(zip_derived_cl42076,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl41884]) ).
thf('201',plain,
( ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42076]) ).
thf(zip_derived_cl1852_448,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1660_449,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl13148,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23822_450,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl593_451,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41873,plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13148,zip_derived_cl23822,zip_derived_cl593]) ).
thf(zip_derived_cl41874,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl41873]) ).
thf(zip_derived_cl593_452,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41876,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41874,zip_derived_cl593]) ).
thf(zip_derived_cl42042,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl41876]) ).
thf('202',plain,
( ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42042]) ).
thf(zip_derived_cl1821_453,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1629_454,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl41918_455,plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13156,zip_derived_cl29850,zip_derived_cl593]) ).
thf(zip_derived_cl41921,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl41918]) ).
thf(zip_derived_cl29850_456,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41924,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41921,zip_derived_cl29850]) ).
thf(zip_derived_cl42172,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl41924]) ).
thf('203',plain,
( ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42172]) ).
thf(zip_derived_cl1815_457,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1623_458,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl41930_459,plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13157,zip_derived_cl29850,zip_derived_cl29850]) ).
thf(zip_derived_cl41932,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl41930]) ).
thf(zip_derived_cl23822_460,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41936,plain,
( ( e21
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41932,zip_derived_cl23822]) ).
thf(zip_derived_cl42187,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl41936]) ).
thf('204',plain,
( ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42187]) ).
thf(zip_derived_cl1864,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1672_461,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl41845_462,plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13145,zip_derived_cl23829,zip_derived_cl29850]) ).
thf(zip_derived_cl41848,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl41845]) ).
thf(zip_derived_cl593_463,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41852,plain,
( ( e22
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41848,zip_derived_cl593]) ).
thf(zip_derived_cl42004,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl41852]) ).
thf('205',plain,
( ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42004]) ).
thf(zip_derived_cl1672_464,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1656,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl125_465,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24391,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1656,zip_derived_cl125]) ).
thf(zip_derived_cl28545,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl24391]) ).
thf('206',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28545]) ).
thf(zip_derived_cl1824_466,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1632_467,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl13155,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl29850_468,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl23822_469,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41913,plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13155,zip_derived_cl29850,zip_derived_cl23822]) ).
thf(zip_derived_cl41915,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl41913]) ).
thf(zip_derived_cl593_470,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41917,plain,
( ( e22
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41915,zip_derived_cl593]) ).
thf(zip_derived_cl42148,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl41917]) ).
thf('207',plain,
( ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42148]) ).
thf(zip_derived_cl1632_471,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1628_472,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23964,plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl98]) ).
thf(zip_derived_cl28213,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl23964]) ).
thf('208',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28213]) ).
thf(zip_derived_cl1633_473,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1632_474,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24051,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1633,zip_derived_cl1632]) ).
thf(zip_derived_cl192_475,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('209',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24051,zip_derived_cl192]) ).
thf(zip_derived_cl1625_476,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1623_477,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23921,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1625,zip_derived_cl1623]) ).
thf(zip_derived_cl193_478,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('210',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23921,zip_derived_cl193]) ).
thf(zip_derived_cl1871_479,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1679_480,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl13143,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1110]) ).
thf(zip_derived_cl23829_481,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl23822_482,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41833,plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13143,zip_derived_cl23829,zip_derived_cl23822]) ).
thf(zip_derived_cl41834,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl41833]) ).
thf(zip_derived_cl23822_483,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41836,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41834,zip_derived_cl23822]) ).
thf(zip_derived_cl41943,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl41836]) ).
thf('211',plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41943]) ).
thf(zip_derived_cl1679_484,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1631_485,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl135_486,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24018,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1631,zip_derived_cl135]) ).
thf(zip_derived_cl28261,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl24018]) ).
thf('212',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28261]) ).
thf(zip_derived_cl328,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('213',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ~ zip_tseitin_20 ),
inference(split,[status(esa)],[zip_derived_cl328]) ).
thf(zf_stmt_28,axiom,
( zip_tseitin_27
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl371,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('214',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl1844_487,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1652_488,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl41885_489,plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13150,zip_derived_cl593,zip_derived_cl23829]) ).
thf(zip_derived_cl41887,plain,
( ( ( h3 @ e12 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl41885]) ).
thf(zip_derived_cl593_490,plain,
( ( h3 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl41889,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41887,zip_derived_cl593]) ).
thf(zip_derived_cl42087,plain,
( ( e22 != e22 )
<= ( ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl41889]) ).
thf('215',plain,
( ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42087]) ).
thf(zip_derived_cl1830_491,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1638_492,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl41899_493,plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13153,zip_derived_cl593,zip_derived_cl29850]) ).
thf(zip_derived_cl41900,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl41899]) ).
thf(zip_derived_cl23829_494,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41902,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41900,zip_derived_cl23829]) ).
thf(zip_derived_cl42089,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1830,zip_derived_cl41902]) ).
thf('216',plain,
( ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42089]) ).
thf(zip_derived_cl1877_495,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1685_496,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl41824_497,plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13142,zip_derived_cl23829,zip_derived_cl23829]) ).
thf(zip_derived_cl41828,plain,
( ( ( h3 @ e13 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl41824]) ).
thf(zip_derived_cl29850_498,plain,
( ( h3 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23819,zip_derived_cl23769]) ).
thf(zip_derived_cl41832,plain,
( ( e23
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41828,zip_derived_cl29850]) ).
thf(zip_derived_cl41928,plain,
( ( e23 != e23 )
<= ( ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl41832]) ).
thf('217',plain,
( ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41928]) ).
thf(zip_derived_cl1685_499,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1684_500,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl24804,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl1684]) ).
thf(zip_derived_cl192_501,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('218',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24804,zip_derived_cl192]) ).
thf(zf_stmt_29,axiom,
( zip_tseitin_19
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl323,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('219',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zf_stmt_30,axiom,
( zip_tseitin_24
=> ( ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl352,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('220',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf('221',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1651,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl106,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl577_502,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23744,plain,
( ( op1 @ e12 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl577]) ).
thf(zip_derived_cl29705,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1651,zip_derived_cl23744]) ).
thf('222',plain,
( ( op1 @ e12 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29705]) ).
thf(zf_stmt_31,axiom,
( zip_tseitin_18
=> ( ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl316,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('223',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ~ zip_tseitin_18 ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
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('224',plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1653,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1649_503,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
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_cl24285,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl107]) ).
thf(zip_derived_cl28456,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1653,zip_derived_cl24285]) ).
thf('225',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28456]) ).
thf(zip_derived_cl1866_504,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1674_505,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl41838_506,plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13144,zip_derived_cl23829,zip_derived_cl593]) ).
thf(zip_derived_cl41839,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl41838]) ).
thf(zip_derived_cl23829_507,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41842,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41839,zip_derived_cl23829]) ).
thf(zip_derived_cl41955,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl41842]) ).
thf('226',plain,
( ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41955]) ).
thf(zip_derived_cl1674_508,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1670_509,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24590,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl114]) ).
thf(zip_derived_cl28623,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl24590]) ).
thf('227',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28623]) ).
thf(zip_derived_cl1826_510,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1634_511,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl41904_512,plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13154,zip_derived_cl29850,zip_derived_cl23829]) ).
thf(zip_derived_cl41905,plain,
( ( ( h3 @ e10 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl41904]) ).
thf(zip_derived_cl23829_513,plain,
( ( h3 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl580,zip_derived_cl580,zip_derived_cl23774]) ).
thf(zip_derived_cl41909,plain,
( ( e20
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41905,zip_derived_cl23829]) ).
thf(zip_derived_cl42100,plain,
( ( e20 != e20 )
<= ( ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl41909]) ).
thf('228',plain,
( ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42100]) ).
thf(zip_derived_cl1650_514,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1634_515,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl138_516,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24062,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl138]) ).
thf(zip_derived_cl28295,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl24062]) ).
thf('229',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28295]) ).
thf(zip_derived_cl1637_517,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1634_518,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24111,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1637,zip_derived_cl1634]) ).
thf(zip_derived_cl195_519,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('230',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24111,zip_derived_cl195]) ).
thf(zip_derived_cl327,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('231',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_20 ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl375,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('232',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl18272,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl577_520,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl595_521,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl597_522,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl597_523,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47032,plain,
( ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18272,zip_derived_cl577,zip_derived_cl595,zip_derived_cl597,zip_derived_cl597]) ).
thf('233',plain,
( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47032]) ).
thf(zip_derived_cl18271,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl23748_524,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl577]) ).
thf(zip_derived_cl597_525,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl595_526,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl594_527,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47030,plain,
( ( ( h4 @ e13 )
!= ( h4 @ e13 ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18271,zip_derived_cl23748,zip_derived_cl597,zip_derived_cl595,zip_derived_cl594]) ).
thf('234',plain,
( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47030]) ).
thf(zip_derived_cl1430,plain,
( ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl19558,plain,
( ( ( h4 @ e12 )
!= e23 )
<= ( ( h4 @ e12 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1430]) ).
thf(zip_derived_cl597_528,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27033,plain,
( ( e23 != e23 )
<= ( ( h4 @ e12 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl19558,zip_derived_cl597]) ).
thf('235',plain,
( ( h4 @ e12 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl27033]) ).
thf(zip_derived_cl18267,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl23749_529,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl595_530,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl595_531,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl596_532,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl46999,plain,
( ( ( h4 @ e10 )
!= ( h4 @ e10 ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18267,zip_derived_cl23749,zip_derived_cl595,zip_derived_cl595,zip_derived_cl596]) ).
thf('236',plain,
( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46999]) ).
thf(zip_derived_cl1877_533,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1684_534,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl46923_535,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl18262]) ).
thf(zip_derived_cl47955,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl46923]) ).
thf(zip_derived_cl597_536,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47959,plain,
( ( e23
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47955,zip_derived_cl597]) ).
thf(zip_derived_cl47977,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl47959]) ).
thf('237',plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47977]) ).
thf(zip_derived_cl1824_537,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1632_538,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1815_539,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47066_540,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18275,zip_derived_cl595]) ).
thf(zip_derived_cl47068,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl47066]) ).
thf(zip_derived_cl26353_541,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47076,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47068,zip_derived_cl26353]) ).
thf(zip_derived_cl48575,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl47076]) ).
thf(zip_derived_cl597_542,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl48577,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48575,zip_derived_cl597]) ).
thf(zip_derived_cl48587,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48577]) ).
thf(zip_derived_cl23769_543,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl48589,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48587,zip_derived_cl23769]) ).
thf('238',plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48589]) ).
thf(zip_derived_cl1844_544,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1824_545,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1637_546,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl47059_547,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47051,zip_derived_cl26353]) ).
thf(zip_derived_cl48457,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl47059]) ).
thf(zip_derived_cl26353_548,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl48461,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48457,zip_derived_cl26353]) ).
thf(zip_derived_cl48479,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48461]) ).
thf(zip_derived_cl48481,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl48479]) ).
thf('239',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48481]) ).
thf(zip_derived_cl1864_549,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1824_550,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26357_551,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl1677_552,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl46961_553,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18264,zip_derived_cl597]) ).
thf(zip_derived_cl46964,plain,
( ( ( h4 @ e13 )
!= ( op2 @ ( h4 @ e10 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1677,zip_derived_cl46961]) ).
thf(zip_derived_cl47496,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl46964]) ).
thf(zip_derived_cl26353_554,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47500,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47496,zip_derived_cl26353]) ).
thf(zip_derived_cl47505,plain,
( ( e22
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47500]) ).
thf(zip_derived_cl47508,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl47505]) ).
thf('240',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47508]) ).
thf(zip_derived_cl43,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('241',plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
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('242',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1623_555,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1824_556,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_557,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl18277_558,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl47089,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl18277]) ).
thf(zip_derived_cl49588,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47089]) ).
thf(zip_derived_cl580_559,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl49592,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49588,zip_derived_cl580]) ).
thf(zip_derived_cl49598,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1623,zip_derived_cl49592]) ).
thf(zip_derived_cl595_560,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1815_561,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl49602,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49598,zip_derived_cl595,zip_derived_cl1815]) ).
thf('243',plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49602]) ).
thf(zip_derived_cl1871_562,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1679_563,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1815_564,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl46944_565,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18263,zip_derived_cl595]) ).
thf(zip_derived_cl46946,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl46944]) ).
thf(zip_derived_cl26357_566,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl46954,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46946,zip_derived_cl26357]) ).
thf(zip_derived_cl48000,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl46954]) ).
thf(zip_derived_cl595_567,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1815_568,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl48002,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48000,zip_derived_cl595,zip_derived_cl1815]) ).
thf(zip_derived_cl48004,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl48002]) ).
thf('244',plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48004]) ).
thf(zip_derived_cl1852_569,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1824_570,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1657_571,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl26353_572,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl47009_573,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18269,zip_derived_cl595]) ).
thf(zip_derived_cl47011,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl47009]) ).
thf(zip_derived_cl1815_574,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47019,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47011,zip_derived_cl1815]) ).
thf(zip_derived_cl48382,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl47019]) ).
thf(zip_derived_cl26353_575,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl48385,plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48382,zip_derived_cl26353]) ).
thf(zip_derived_cl48404,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48385]) ).
thf(zip_derived_cl48406,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl48404]) ).
thf('245',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48406]) ).
thf(zip_derived_cl1657_576,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1625_577,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121_578,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23918,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1625,zip_derived_cl121]) ).
thf(zip_derived_cl28168,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl23918]) ).
thf('246',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28168]) ).
thf(zip_derived_cl1849_579,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1815_580,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47008_581,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47006,zip_derived_cl597]) ).
thf(zip_derived_cl47927,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl47008]) ).
thf(zip_derived_cl47946,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl47927]) ).
thf('247',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47946]) ).
thf(zip_derived_cl1676_582,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1660_583,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
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_cl24452,plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl131]) ).
thf(zip_derived_cl28590,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl24452]) ).
thf('248',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28590]) ).
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('249',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('250',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1675,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl577_584,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23747,plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl577]) ).
thf(zip_derived_cl29723,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl23747]) ).
thf('251',plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29723]) ).
thf('252',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1866_585,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1824_586,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1670_587,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl46975_588,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46967,zip_derived_cl26357]) ).
thf(zip_derived_cl48191,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl46975]) ).
thf(zip_derived_cl26357_589,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl48195,plain,
( ( e20
!= ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48191,zip_derived_cl26357]) ).
thf(zip_derived_cl48202,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl48195]) ).
thf(zip_derived_cl48203,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl48202]) ).
thf('253',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48203]) ).
thf(zip_derived_cl1671_590,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1670_591,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24606,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl1670]) ).
thf(zip_derived_cl197_592,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('254',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24606,zip_derived_cl197]) ).
thf(zip_derived_cl1821_593,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1824_594,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_595,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl1640_596,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl47046_597,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18273,zip_derived_cl597]) ).
thf(zip_derived_cl47048,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl47046]) ).
thf(zip_derived_cl597_598,plain,
( ( h4 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl47049,plain,
( ( e23
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47048,zip_derived_cl597]) ).
thf(zip_derived_cl47232,plain,
( ( e23
!= ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl47049]) ).
thf(zip_derived_cl47276,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47232]) ).
thf(zip_derived_cl47285,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl47276]) ).
thf('255',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47285]) ).
thf(zip_derived_cl1672_599,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1640_600,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124_601,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24159,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl124]) ).
thf(zip_derived_cl28396,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl24159]) ).
thf('256',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28396]) ).
thf(zip_derived_cl1656_602,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1640_603,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24158,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1640,zip_derived_cl122]) ).
thf(zip_derived_cl28391,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1656,zip_derived_cl24158]) ).
thf('257',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28391]) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('258',plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1654,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
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_cl23749_604,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl23750,plain,
( e10
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl23749]) ).
thf(zip_derived_cl29769,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1654,zip_derived_cl23750]) ).
thf('259',plain,
( ( op1 @ e11 @ e13 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl29769]) ).
thf(zip_derived_cl1826_605,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26357_606,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl1650_607,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl47026_608,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18270,zip_derived_cl597]) ).
thf(zip_derived_cl47027,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( h4 @ e10 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl47026]) ).
thf(zip_derived_cl47702,plain,
( ( e20
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl47027]) ).
thf(zip_derived_cl47707,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl47702]) ).
thf('260',plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47707]) ).
thf(zip_derived_cl1650_609,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1638_610,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24127,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl105]) ).
thf(zip_derived_cl28364,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl24127]) ).
thf('261',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28364]) ).
thf(zip_derived_cl1830_611,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1824_612,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_613,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl1626_614,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl47083_615,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18276,zip_derived_cl597]) ).
thf(zip_derived_cl47084,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl47083]) ).
thf(zip_derived_cl47821,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl47084]) ).
thf(zip_derived_cl26357_616,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl47825,plain,
( ( e20
!= ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47821,zip_derived_cl26357]) ).
thf(zip_derived_cl47835,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl47825]) ).
thf(zip_derived_cl47836,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1830,zip_derived_cl47835]) ).
thf('262',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47836]) ).
thf(zip_derived_cl1634_617,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1626_618,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23935,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl100]) ).
thf(zip_derived_cl28178,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl23935]) ).
thf('263',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28178]) ).
thf(zip_derived_cl1629_619,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1626_620,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23985,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1629,zip_derived_cl1626]) ).
thf(zip_derived_cl195_621,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('264',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23985,zip_derived_cl195]) ).
thf(zip_derived_cl347,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('265',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl1859_622,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1667_623,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl26357_624,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl46982_625,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18266,zip_derived_cl595]) ).
thf(zip_derived_cl46984,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl46982]) ).
thf(zip_derived_cl1815_626,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl46992,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46984,zip_derived_cl1815]) ).
thf(zip_derived_cl48050,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl46992]) ).
thf(zip_derived_cl595_627,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1815_628,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl48053,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48050,zip_derived_cl595,zip_derived_cl1815]) ).
thf(zip_derived_cl48056,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl48053]) ).
thf('266',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48056]) ).
thf(zip_derived_cl1859_629,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1667_630,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl41854_631,plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13146,zip_derived_cl23822,zip_derived_cl23829]) ).
thf(zip_derived_cl41855,plain,
( ( ( h3 @ e11 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl41854]) ).
thf(zip_derived_cl23822_632,plain,
( ( h3 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl580]) ).
thf(zip_derived_cl41858,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41855,zip_derived_cl23822]) ).
thf(zip_derived_cl42017,plain,
( ( e21 != e21 )
<= ( ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl41858]) ).
thf('267',plain,
( ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42017]) ).
thf(zip_derived_cl1683_633,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1667_634,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
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_cl24548,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl143]) ).
thf(zip_derived_cl28609,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl24548]) ).
thf('268',plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28609]) ).
thf(zip_derived_cl1667_635,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1655_636,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_cl24375,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl111]) ).
thf(zip_derived_cl28524,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl24375]) ).
thf('269',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28524]) ).
thf(zip_derived_cl1669_637,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1667_638,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24576,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1667]) ).
thf(zip_derived_cl193_639,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('270',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24576,zip_derived_cl193]) ).
thf(zip_derived_cl1150,plain,
( ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ e12 )
!= e22 )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('271',plain,
( ( ( h3 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
| ( ( h3 @ e10 )
!= e20 )
| ( ( h3 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
| ( ( h3 @ e11 )
!= e21 )
| ( ( h3 @ e13 )
!= e23 )
| ( ( h3 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
| ( ( h3 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1150]) ).
thf(zf_stmt_32,axiom,
( zip_tseitin_12
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl280,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('272',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zf_stmt_33,axiom,
( zip_tseitin_4
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('273',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl1637_640,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1636_641,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24113,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1637,zip_derived_cl1636]) ).
thf(zip_derived_cl192_642,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('274',plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24113,zip_derived_cl192]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('275',plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1668_643,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1667_644,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24563,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1668,zip_derived_cl1667]) ).
thf(zip_derived_cl194_645,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('276',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24563,zip_derived_cl194]) ).
thf(zf_stmt_34,axiom,
( zip_tseitin_6
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('277',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zf_stmt_35,axiom,
( zip_tseitin_9
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('278',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zf_stmt_36,axiom,
( zip_tseitin_1
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('279',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zf_stmt_37,axiom,
( zip_tseitin_5
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('280',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl249]) ).
thf(zf_stmt_38,axiom,
( zip_tseitin_7
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl259,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('281',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf(zf_stmt_39,axiom,
( zip_tseitin_8
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl264,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('282',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl264]) ).
thf(zf_stmt_40,axiom,
( zip_tseitin_10
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('283',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zf_stmt_41,axiom,
( zip_tseitin_11
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('284',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
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('285',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zf_stmt_42,axiom,
( zip_tseitin_13
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl286,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('286',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl286]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('287',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl282,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('288',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl282]) ).
thf(zf_stmt_43,axiom,
( zip_tseitin_2
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('289',plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl1684_646,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1680_647,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119_648,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24735,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl119]) ).
thf(zip_derived_cl28736,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl24735]) ).
thf('290',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28736]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('291',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
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('292',plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1632_649,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1631_650,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24034,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1632,zip_derived_cl1631]) ).
thf(zip_derived_cl194_651,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('293',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24034,zip_derived_cl194]) ).
thf(zip_derived_cl1623_652,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1622_653,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23884,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1623,zip_derived_cl1622]) ).
thf(zip_derived_cl197_654,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('294',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23884,zip_derived_cl197]) ).
thf(zip_derived_cl1627_655,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl577_656,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23745,plain,
( e11
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl577]) ).
thf(zip_derived_cl29711,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1627,zip_derived_cl23745]) ).
thf('295',plain,
( ( op1 @ e13 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29711]) ).
thf(zf_stmt_44,axiom,
( zip_tseitin_3
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('296',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('297',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zf_stmt_45,axiom,
( zip_tseitin_14
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('298',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf(zf_stmt_46,axiom,
( zip_tseitin_15
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl299,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('299',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl1634_657,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1622_658,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl99_659,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23862,plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl99]) ).
thf(zip_derived_cl28076,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl23862]) ).
thf('300',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28076]) ).
thf(zip_derived_cl1670_660,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1622_661,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_cl23865,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl123]) ).
thf(zip_derived_cl28090,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl23865]) ).
thf('301',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28090]) ).
thf(zip_derived_cl1624_662,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1622_663,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23902,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1624,zip_derived_cl1622]) ).
thf(zip_derived_cl196_664,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('302',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23902,zip_derived_cl196]) ).
thf(zf_stmt_47,type,
zip_tseitin_31: $o ).
thf(zf_stmt_48,axiom,
( zip_tseitin_31
=> ( ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_49,type,
zip_tseitin_30: $o ).
thf(zf_stmt_50,axiom,
( zip_tseitin_30
=> ( ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_51,type,
zip_tseitin_29: $o ).
thf(zf_stmt_52,axiom,
( zip_tseitin_29
=> ( ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_53,type,
zip_tseitin_28: $o ).
thf(zf_stmt_54,type,
zip_tseitin_27: $o ).
thf(zf_stmt_55,type,
zip_tseitin_26: $o ).
thf(zf_stmt_56,axiom,
( zip_tseitin_26
=> ( ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_57,type,
zip_tseitin_25: $o ).
thf(zf_stmt_58,axiom,
( zip_tseitin_25
=> ( ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_59,type,
zip_tseitin_24: $o ).
thf(zf_stmt_60,type,
zip_tseitin_23: $o ).
thf(zf_stmt_61,type,
zip_tseitin_22: $o ).
thf(zf_stmt_62,axiom,
( zip_tseitin_22
=> ( ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_63,type,
zip_tseitin_21: $o ).
thf(zf_stmt_64,axiom,
( zip_tseitin_21
=> ( ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_65,type,
zip_tseitin_20: $o ).
thf(zf_stmt_66,type,
zip_tseitin_19: $o ).
thf(zf_stmt_67,type,
zip_tseitin_18: $o ).
thf(zf_stmt_68,type,
zip_tseitin_17: $o ).
thf(zf_stmt_69,axiom,
( zip_tseitin_17
=> ( ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_70,type,
zip_tseitin_16: $o ).
thf(zf_stmt_71,axiom,
( zip_tseitin_16
=> ( ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_72,type,
zip_tseitin_15: $o ).
thf(zf_stmt_73,type,
zip_tseitin_14: $o ).
thf(zf_stmt_74,type,
zip_tseitin_13: $o ).
thf(zf_stmt_75,type,
zip_tseitin_12: $o ).
thf(zf_stmt_76,type,
zip_tseitin_11: $o ).
thf(zf_stmt_77,type,
zip_tseitin_10: $o ).
thf(zf_stmt_78,type,
zip_tseitin_9: $o ).
thf(zf_stmt_79,type,
zip_tseitin_8: $o ).
thf(zf_stmt_80,type,
zip_tseitin_7: $o ).
thf(zf_stmt_81,type,
zip_tseitin_6: $o ).
thf(zf_stmt_82,type,
zip_tseitin_5: $o ).
thf(zf_stmt_83,type,
zip_tseitin_4: $o ).
thf(zf_stmt_84,type,
zip_tseitin_3: $o ).
thf(zf_stmt_85,type,
zip_tseitin_2: $o ).
thf(zf_stmt_86,type,
zip_tseitin_1: $o ).
thf(zf_stmt_87,type,
zip_tseitin_0: $o ).
thf(zf_stmt_88,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_cl397,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_88]) ).
thf('303',plain,
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_6
| zip_tseitin_9
| zip_tseitin_1
| zip_tseitin_5
| zip_tseitin_14
| zip_tseitin_7
| zip_tseitin_8
| zip_tseitin_0
| zip_tseitin_10
| zip_tseitin_11
| zip_tseitin_15
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl1666,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23749_665,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl23752,plain,
( ( op1 @ e11 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl23749]) ).
thf(zip_derived_cl29781,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl23752]) ).
thf('304',plain,
( ( op1 @ e11 @ e10 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl29781]) ).
thf(zip_derived_cl351,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('305',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl351]) ).
thf(zip_derived_cl353,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('306',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zip_derived_cl396,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_88]) ).
thf('307',plain,
( zip_tseitin_18
| zip_tseitin_24
| zip_tseitin_21
| zip_tseitin_17
| zip_tseitin_16
| zip_tseitin_30
| zip_tseitin_19
| zip_tseitin_23
| zip_tseitin_28
| zip_tseitin_25
| zip_tseitin_26
| zip_tseitin_20
| zip_tseitin_27
| zip_tseitin_29
| zip_tseitin_22
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zip_derived_cl334,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('308',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl332,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('309',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl1661_666,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1659,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24469,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1661,zip_derived_cl1659]) ).
thf(zip_derived_cl193_667,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('310',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24469,zip_derived_cl193]) ).
thf(zip_derived_cl1660_668,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1659_669,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24454,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1660,zip_derived_cl1659]) ).
thf(zip_derived_cl194_670,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('311',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24454,zip_derived_cl194]) ).
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('312',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1656_671,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1655_672,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24393,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1656,zip_derived_cl1655]) ).
thf(zip_derived_cl194_673,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('313',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24393,zip_derived_cl194]) ).
thf(zip_derived_cl1669_674,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1666_675,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24575,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1669,zip_derived_cl1666]) ).
thf(zip_derived_cl195_676,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('314',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24575,zip_derived_cl195]) ).
thf(zip_derived_cl1668_677,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1666_678,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24562,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1668,zip_derived_cl1666]) ).
thf(zip_derived_cl196_679,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('315',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24562,zip_derived_cl196]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf('316',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
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('317',plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf('318',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl1657_680,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1656_681,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24410,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1657,zip_derived_cl1656]) ).
thf(zip_derived_cl192_682,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('319',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24410,zip_derived_cl192]) ).
thf(zip_derived_cl304,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf('320',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl303,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf('321',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf(zip_derived_cl388,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('322',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl359,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('323',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zip_derived_cl364,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('324',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl364]) ).
thf(zip_derived_cl361,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('325',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
thf(zip_derived_cl383,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('326',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf(zip_derived_cl340,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf('327',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf(zip_derived_cl394,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('328',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zip_derived_cl390,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('329',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl317,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('330',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_18 ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl1674_683,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1626_684,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl129,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23937,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl129]) ).
thf(zip_derived_cl28188,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl23937]) ).
thf('331',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28188]) ).
thf(zip_derived_cl788,plain,
( ( ( h1 @ e11 )
!= e23 )
| ( ( h1 @ e13 )
!= e22 )
| ( ( h1 @ e10 )
!= 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_5]) ).
thf('332',plain,
( ( ( h1 @ e13 )
!= e22 )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ e12 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ e10 )
!= e21 )
| ( ( h1 @ e11 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl788]) ).
thf(zip_derived_cl2907,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_cl598]) ).
thf(zip_derived_cl23749_685,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl583_686,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl583_687,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl584_688,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29518,plain,
( ( ( h1 @ e10 )
!= ( h1 @ e10 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2907,zip_derived_cl23749,zip_derived_cl583,zip_derived_cl583,zip_derived_cl584]) ).
thf('333',plain,
( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29518]) ).
thf(zip_derived_cl585_689,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl600,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= 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_5]) ).
thf(zip_derived_cl2958,plain,
( ( ( h1 @ e12 )
!= e20 )
<= ( ( h1 @ e12 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl600]) ).
thf(zip_derived_cl23382,plain,
( ( e20 != e20 )
<= ( ( h1 @ e12 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl2958]) ).
thf('334',plain,
( ( h1 @ e12 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl23382]) ).
thf(zip_derived_cl2912,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_cl598]) ).
thf(zip_derived_cl577_690,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl583_691,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl585_692,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl585_693,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29550,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2912,zip_derived_cl577,zip_derived_cl583,zip_derived_cl585,zip_derived_cl585]) ).
thf('335',plain,
( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29550]) ).
thf(zip_derived_cl1649_694,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2911,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_cl598]) ).
thf(zip_derived_cl585_695,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl583_696,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl582_697,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29542,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( h1 @ e13 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl585,zip_derived_cl583,zip_derived_cl582]) ).
thf(zip_derived_cl29546,plain,
( ( ( h1 @ e13 )
!= ( h1 @ e13 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl29542]) ).
thf('336',plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29546]) ).
thf(zip_derived_cl1826_698,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1877_699,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29526_700,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29523,zip_derived_cl585]) ).
thf(zip_derived_cl30279,plain,
( ( e20
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29526]) ).
thf(zip_derived_cl30288,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl30279]) ).
thf('337',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30288]) ).
thf(zip_derived_cl1864_701,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1824_702,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_703,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl1877_704,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl584_705,plain,
( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl27130,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl1669_706,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1877_707,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29504_708,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( h1 @ e10 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2906,zip_derived_cl583]) ).
thf(zip_derived_cl29511,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e23 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29504]) ).
thf(zip_derived_cl30442,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1669,zip_derived_cl29511]) ).
thf(zip_derived_cl32309,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl30442]) ).
thf(zip_derived_cl1877_709,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl582_710,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl27129,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl594_711,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32354,plain,
( ( ( op2 @ e20 @ e23 )
!= ( h4 @ e13 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32309,zip_derived_cl27129,zip_derived_cl594]) ).
thf(zip_derived_cl32627,plain,
( ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl32354]) ).
thf(zip_derived_cl32653,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl32627]) ).
thf(zip_derived_cl32658,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl32653]) ).
thf('338',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32658]) ).
thf('339',plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1866_712,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1864_713,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_714,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl29556_715,plain,
( ( e20
!= ( op2 @ e20 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29554,zip_derived_cl585]) ).
thf(zip_derived_cl31596,plain,
( ( e20
!= ( op2 @ e20 @ ( op2 @ e20 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl29556]) ).
thf(zip_derived_cl31741,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31596]) ).
thf(zip_derived_cl31751,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl31741]) ).
thf('340',plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31751]) ).
thf(zip_derived_cl1871_716,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1815_717,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_718,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl29536_719,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1650,zip_derived_cl29535]) ).
thf(zip_derived_cl32305,plain,
( ( ( op2 @ e23 @ e23 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl29536]) ).
thf(zip_derived_cl33138,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32305]) ).
thf(zip_derived_cl33142,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl33138]) ).
thf('341',plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33142]) ).
thf(zip_derived_cl1859_720,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1815_721,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_722,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl29492_723,plain,
( ( ( h1 @ e10 )
!= ( op2 @ ( h1 @ e10 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl29491]) ).
thf(zip_derived_cl32301,plain,
( ( ( op2 @ e23 @ e23 )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl29492]) ).
thf(zip_derived_cl33103,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32301]) ).
thf(zip_derived_cl33107,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl33103]) ).
thf('342',plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33107]) ).
thf(zip_derived_cl1682_724,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1674_725,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24654,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1674,zip_derived_cl118]) ).
thf(zip_derived_cl28688,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1682,zip_derived_cl24654]) ).
thf('343',plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28688]) ).
thf('344',plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
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('345',plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1852_726,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1815_727,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_728,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl1673_729,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1864_730,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_731,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl2905_732,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_cl598]) ).
thf(zip_derived_cl31583,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( op2 @ e20 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl2905]) ).
thf(zip_derived_cl31966,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31583]) ).
thf(zip_derived_cl32056,plain,
( ( ( h1 @ e13 )
!= ( op2 @ ( h1 @ e10 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl31966]) ).
thf(zip_derived_cl27129_733,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl1864_734,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl32059,plain,
( ( e22
!= ( op2 @ ( h1 @ e10 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32056,zip_derived_cl27129,zip_derived_cl1864]) ).
thf(zip_derived_cl32331,plain,
( ( e22
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl32059]) ).
thf(zip_derived_cl32777,plain,
( ( e22
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32331]) ).
thf(zip_derived_cl32781,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl32777]) ).
thf('346',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32781]) ).
thf(zip_derived_cl1685_735,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1673_736,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24637,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl117]) ).
thf(zip_derived_cl28681,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1685,zip_derived_cl24637]) ).
thf('347',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28681]) ).
thf(zip_derived_cl1844_737,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1864_738,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_739,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl29575_740,plain,
( ( ( h1 @ e13 )
!= ( op2 @ ( h1 @ e13 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl29571]) ).
thf(zip_derived_cl31599,plain,
( ( ( op2 @ e20 @ e23 )
!= ( op2 @ ( op2 @ e20 @ e23 ) @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl29575]) ).
thf(zip_derived_cl31898,plain,
( ( e22
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31599]) ).
thf(zip_derived_cl31909,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl31898]) ).
thf('348',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31909]) ).
thf('349',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1639,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
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_cl577_741,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23742,plain,
( e11
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl577]) ).
thf(zip_derived_cl28054,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1639,zip_derived_cl23742]) ).
thf('350',plain,
( ( op1 @ e12 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28054]) ).
thf(zip_derived_cl1658_742,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23749_743,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl23751,plain,
( e10
!= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl23749]) ).
thf(zip_derived_cl29775,plain,
( ( e10 != e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1658,zip_derived_cl23751]) ).
thf('351',plain,
( ( op1 @ e11 @ e12 )
!= e10 ),
inference(simplify,[status(thm)],[zip_derived_cl29775]) ).
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('352',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_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('353',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1661_744,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1660_745,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24470,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1661,zip_derived_cl1660]) ).
thf(zip_derived_cl192_746,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('354',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24470,zip_derived_cl192]) ).
thf(zip_derived_cl1661_747,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1658_748,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24468,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1661,zip_derived_cl1658]) ).
thf(zip_derived_cl195_749,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('355',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24468,zip_derived_cl195]) ).
thf(zip_derived_cl1676_750,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1674_751,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24682,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1676,zip_derived_cl1674]) ).
thf(zip_derived_cl196_752,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('356',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24682,zip_derived_cl196]) ).
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('357',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1815_753,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_754,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl1622_755,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1864_756,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_757,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl2917_758,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_cl598]) ).
thf(zip_derived_cl31585,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl2917]) ).
thf(zip_derived_cl32220,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31585]) ).
thf(zip_derived_cl580_759,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl32228,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32220,zip_derived_cl580]) ).
thf(zip_derived_cl32270,plain,
( ( ( h1 @ e10 )
!= e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl32228]) ).
thf(zip_derived_cl32346,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl32270]) ).
thf(zip_derived_cl32404,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32346]) ).
thf('358',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32404]) ).
thf(zip_derived_cl1638_760,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1622_761,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl120_762,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23863,plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl120]) ).
thf(zip_derived_cl28081,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1638,zip_derived_cl23863]) ).
thf('359',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28081]) ).
thf(zip_derived_cl1626_763,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1622_764,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
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_cl23860,plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl96]) ).
thf(zip_derived_cl28068,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl23860]) ).
thf('360',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28068]) ).
thf(zip_derived_cl26357_765,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl1684_766,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl27130_767,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl2902_768,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_cl598]) ).
thf(zip_derived_cl32289,plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl2902]) ).
thf(zip_derived_cl596_769,plain,
( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32347,plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( h4 @ e10 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32289,zip_derived_cl596]) ).
thf(zip_derived_cl32704,plain,
( ( ( h1 @ e12 )
!= ( h4 @ e10 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl32347]) ).
thf(zip_derived_cl585_770,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl32708,plain,
( ( e20
!= ( h4 @ e10 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32704,zip_derived_cl585]) ).
thf(zip_derived_cl32721,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl32708]) ).
thf('361',plain,
( ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32721]) ).
thf(zip_derived_cl1821_771,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1864_772,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_773,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl1655_774,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1877_775,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29527_776,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e20 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2909,zip_derived_cl583]) ).
thf(zip_derived_cl29532,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e23 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29527]) ).
thf(zip_derived_cl30497,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e23 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1655,zip_derived_cl29532]) ).
thf(zip_derived_cl583_777,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1877_778,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl30500,plain,
( ( e23
!= ( op2 @ e23 @ ( h1 @ e13 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30497,zip_derived_cl583,zip_derived_cl1877]) ).
thf(zip_derived_cl31625,plain,
( ( e23
!= ( op2 @ e23 @ ( op2 @ e20 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl30500]) ).
thf(zip_derived_cl31772,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31625]) ).
thf(zip_derived_cl31788,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl31772]) ).
thf('362',plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31788]) ).
thf(zip_derived_cl1657_779,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1655_780,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24409,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1657,zip_derived_cl1655]) ).
thf(zip_derived_cl193_781,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('363',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24409,zip_derived_cl193]) ).
thf(zip_derived_cl1830_782,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1864_783,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_784,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl1632_785,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1877_786,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29563_787,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2915,zip_derived_cl583]) ).
thf(zip_derived_cl29567,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29563]) ).
thf(zip_derived_cl30573,plain,
( ( ( h1 @ e12 )
!= ( op2 @ ( h1 @ e13 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1632,zip_derived_cl29567]) ).
thf(zip_derived_cl585_788,plain,
( ( h1 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl30575,plain,
( ( e20
!= ( op2 @ ( h1 @ e13 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30573,zip_derived_cl585]) ).
thf(zip_derived_cl31640,plain,
( ( e20
!= ( op2 @ ( op2 @ e20 @ e23 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl30575]) ).
thf(zip_derived_cl31832,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31640]) ).
thf(zip_derived_cl31838,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1830,zip_derived_cl31832]) ).
thf('364',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31838]) ).
thf(zip_derived_cl1849_789,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1815_790,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_791,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl1679_792,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1877_793,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl29477_794,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( op2 @ e20 @ e20 ) ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2903,zip_derived_cl583]) ).
thf(zip_derived_cl29481,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29477]) ).
thf(zip_derived_cl30377,plain,
( ( ( h1 @ e11 )
!= ( op2 @ ( h1 @ e10 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl29481]) ).
thf(zip_derived_cl583_795,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1877_796,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl30379,plain,
( ( e23
!= ( op2 @ ( h1 @ e10 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30377,zip_derived_cl583,zip_derived_cl1877]) ).
thf(zip_derived_cl32307,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl30379]) ).
thf(zip_derived_cl32952,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32307]) ).
thf(zip_derived_cl32975,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl32952]) ).
thf('365',plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32975]) ).
thf(zip_derived_cl370,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('366',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
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('367',plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1659_797,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl577_798,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23746,plain,
( ( op1 @ e11 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl577]) ).
thf(zip_derived_cl29717,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl23746]) ).
thf('368',plain,
( ( op1 @ e11 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29717]) ).
thf(zip_derived_cl329,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('369',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf('370',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl346,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('371',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl346]) ).
thf(zip_derived_cl377,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('372',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl377]) ).
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('373',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
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('374',plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1629_799,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1628_800,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23987,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1629,zip_derived_cl1628]) ).
thf(zip_derived_cl192_801,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('375',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23987,zip_derived_cl192]) ).
thf(zip_derived_cl1628_802,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1626_803,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23968,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1628,zip_derived_cl1626]) ).
thf(zip_derived_cl196_804,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('376',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23968,zip_derived_cl196]) ).
thf(zip_derived_cl1625_805,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1622_806,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl23920,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1625,zip_derived_cl1622]) ).
thf(zip_derived_cl195_807,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('377',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23920,zip_derived_cl195]) ).
thf(zip_derived_cl1653_808,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1652_809,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24349,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1653,zip_derived_cl1652]) ).
thf(zip_derived_cl192_810,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('378',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24349,zip_derived_cl192]) ).
thf(zip_derived_cl1653_811,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1650_812,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24347,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1653,zip_derived_cl1650]) ).
thf(zip_derived_cl195_813,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('379',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24347,zip_derived_cl195]) ).
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('380',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1645,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl577_814,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24230,plain,
( ( e11 = e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1645,zip_derived_cl577]) ).
thf(zip_derived_cl193_815,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('381',plain,
( ( op1 @ e12 @ e12 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24230,zip_derived_cl193]) ).
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('382',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1644,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl577_816,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24214,plain,
( ( e11 = e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1644,zip_derived_cl577]) ).
thf(zip_derived_cl194_817,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('383',plain,
( ( op1 @ e12 @ e12 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24214,zip_derived_cl194]) ).
thf(zip_derived_cl31,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('384',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1642,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl577_818,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24190,plain,
( ( e11 = e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1642,zip_derived_cl577]) ).
thf(zip_derived_cl197_819,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('385',plain,
( ( op1 @ e12 @ e12 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24190,zip_derived_cl197]) ).
thf(zip_derived_cl1641,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1640_820,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24179,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1641,zip_derived_cl1640]) ).
thf(zip_derived_cl192_821,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('386',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24179,zip_derived_cl192]) ).
thf(zip_derived_cl1641_822,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1638_823,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24177,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1641,zip_derived_cl1638]) ).
thf(zip_derived_cl195_824,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('387',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24177,zip_derived_cl195]) ).
thf(zip_derived_cl1652_825,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1650_826,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24333,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1652,zip_derived_cl1650]) ).
thf(zip_derived_cl196_827,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('388',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24333,zip_derived_cl196]) ).
thf(zip_derived_cl1649_828,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1647,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24288,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1649,zip_derived_cl1647]) ).
thf(zip_derived_cl193_829,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('389',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24288,zip_derived_cl193]) ).
thf(zip_derived_cl1647_830,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1646,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24259,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl1646]) ).
thf(zip_derived_cl197_831,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('390',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24259,zip_derived_cl197]) ).
thf(zip_derived_cl1680_832,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1679_833,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl24737,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl1679]) ).
thf(zip_derived_cl194_834,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('391',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24737,zip_derived_cl194]) ).
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('392',plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1664,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23749_835,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl24504,plain,
( ( e10 = e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1664,zip_derived_cl23749]) ).
thf(zip_derived_cl196_836,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('393',plain,
( ( op1 @ e11 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24504,zip_derived_cl196]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('394',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1665,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23749_837,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl24518,plain,
( ( e10 = e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1665,zip_derived_cl23749]) ).
thf(zip_derived_cl195_838,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('395',plain,
( ( op1 @ e11 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24518,zip_derived_cl195]) ).
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('396',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1663,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl23749_839,plain,
( e10
= ( op1 @ e11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl577,zip_derived_cl577]) ).
thf(zip_derived_cl24492,plain,
( ( e10 = e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1663,zip_derived_cl23749]) ).
thf(zip_derived_cl197_840,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('397',plain,
( ( op1 @ e11 @ e11 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24492,zip_derived_cl197]) ).
thf(zip_derived_cl1649_841,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1648,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24289,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1649,zip_derived_cl1648]) ).
thf(zip_derived_cl192_842,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('398',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24289,zip_derived_cl192]) ).
thf(zip_derived_cl1648_843,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1647_844,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24274,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1648,zip_derived_cl1647]) ).
thf(zip_derived_cl194_845,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('399',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24274,zip_derived_cl194]) ).
thf(zip_derived_cl1681_846,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1679_847,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl24752,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1681,zip_derived_cl1679]) ).
thf(zip_derived_cl193_848,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('400',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24752,zip_derived_cl193]) ).
thf(zip_derived_cl1633_849,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1630,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24049,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1633,zip_derived_cl1630]) ).
thf(zip_derived_cl195_850,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('401',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24049,zip_derived_cl195]) ).
thf(zip_derived_cl1632_851,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1630_852,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24033,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1632,zip_derived_cl1630]) ).
thf(zip_derived_cl196_853,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('402',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24033,zip_derived_cl196]) ).
thf(zip_derived_cl1631_854,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1630_855,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24019,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1631,zip_derived_cl1630]) ).
thf(zip_derived_cl197_856,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('403',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24019,zip_derived_cl197]) ).
thf(zip_derived_cl1640_857,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1638_858,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24160,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1640,zip_derived_cl1638]) ).
thf(zip_derived_cl196_859,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('404',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24160,zip_derived_cl196]) ).
thf(zip_derived_cl23748_860,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl577]) ).
thf(zip_derived_cl1646_861,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl29735,plain,
( ( e13 = e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23748,zip_derived_cl1646]) ).
thf(zip_derived_cl195_862,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('405',plain,
( ( op1 @ e12 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29735,zip_derived_cl195]) ).
thf(zip_derived_cl1647_863,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl577_864,plain,
( e11
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23743,plain,
( ( op1 @ e12 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl577]) ).
thf(zip_derived_cl29698,plain,
( ( e11 != e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1647,zip_derived_cl23743]) ).
thf('406',plain,
( ( op1 @ e12 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29698]) ).
thf(zip_derived_cl23748_865,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl577]) ).
thf(zip_derived_cl1648_866,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl29736,plain,
( ( e13 = e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23748,zip_derived_cl1648]) ).
thf(zip_derived_cl192_867,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('407',plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29736,zip_derived_cl192]) ).
thf('408',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1649_868,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1633_869,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
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_cl24047,plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1633,zip_derived_cl132]) ).
thf(zip_derived_cl28288,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl24047]) ).
thf('409',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28288]) ).
thf(zip_derived_cl322,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('410',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl322]) ).
thf(zip_derived_cl1815_870,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_871,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl1635_872,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1864_873,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_874,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl2914_875,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_cl598]) ).
thf(zip_derived_cl31584,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( op2 @ e20 @ e23 ) @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl2914]) ).
thf(zip_derived_cl32090,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e22 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31584]) ).
thf(zip_derived_cl32173,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl32090]) ).
thf(zip_derived_cl583_876,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1877_877,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl32176,plain,
( ( e23
!= ( op2 @ e22 @ ( h1 @ e10 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32173,zip_derived_cl583,zip_derived_cl1877]) ).
thf(zip_derived_cl32341,plain,
( ( e23
!= ( op2 @ e22 @ ( op2 @ e23 @ e23 ) ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl32176]) ).
thf(zip_derived_cl33023,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32341]) ).
thf(zip_derived_cl23769_878,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl33026,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33023,zip_derived_cl23769]) ).
thf('411',plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33026]) ).
thf(zip_derived_cl1683_879,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1635_880,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141_881,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24078,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl141]) ).
thf(zip_derived_cl28323,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl24078]) ).
thf('412',plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28323]) ).
thf(zip_derived_cl1667_882,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1635_883,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24077,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl139]) ).
thf(zip_derived_cl28318,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl24077]) ).
thf('413',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28318]) ).
thf(zip_derived_cl1635_884,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1631_885,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_cl24016,plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1631,zip_derived_cl101]) ).
thf(zip_derived_cl28251,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl24016]) ).
thf('414',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28251]) ).
thf(zip_derived_cl1637_886,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1635_887,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24112,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1637,zip_derived_cl1635]) ).
thf(zip_derived_cl193_888,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('415',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24112,zip_derived_cl193]) ).
thf(zip_derived_cl1635_889,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1634_890,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24079,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1635,zip_derived_cl1634]) ).
thf(zip_derived_cl197_891,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('416',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24079,zip_derived_cl197]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('417',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1864_892,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27129_893,plain,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl582]) ).
thf(zip_derived_cl646,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e13 )
!= 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_5]) ).
thf(zip_derived_cl3880,plain,
( ( ( h1 @ e13 )
!= e22 )
<= ( ( h1 @ e13 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl646]) ).
thf(zip_derived_cl31590,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( ( h1 @ e13 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27129,zip_derived_cl3880]) ).
thf(zip_derived_cl31702,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ e13 )
!= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl31590]) ).
thf('418',plain,
( ( ( h1 @ e13 )
= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31702]) ).
thf(zip_derived_cl91,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('419',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1841_894,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1838_895,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26767,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1838]) ).
thf(zip_derived_cl201_896,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('420',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26767,zip_derived_cl201]) ).
thf(zip_derived_cl1832_897,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1830_898,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26661,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1832,zip_derived_cl1830]) ).
thf(zip_derived_cl202_899,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('421',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26661,zip_derived_cl202]) ).
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('422',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl1815_900,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl27130_901,plain,
( ( ( h1 @ e10 )
= ( op2 @ e23 @ e23 ) )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl584]) ).
thf(zip_derived_cl3159_902,plain,
( ( ( h1 @ e10 )
!= e21 )
<= ( ( h1 @ e10 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl610]) ).
thf(zip_derived_cl32295,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
<= ( ( ( h1 @ e10 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27130,zip_derived_cl3159]) ).
thf(zip_derived_cl32486,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ e10 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl32295]) ).
thf('423',plain,
( ( ( h1 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32486]) ).
thf(zip_derived_cl1877_903,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl583_904,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl726,plain,
( ( ( h1 @ e11 )
!= 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_5]) ).
thf(zip_derived_cl5480,plain,
( ( ( h1 @ e11 )
!= e23 )
<= ( ( h1 @ e11 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl726]) ).
thf(zip_derived_cl23795,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
<= ( ( h1 @ e11 )
!= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl5480]) ).
thf(zip_derived_cl28066,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ e11 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl23795]) ).
thf('424',plain,
( ( ( h1 @ e11 )
= e23 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28066]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('425',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl1845_905,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1842_906,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26804,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1845,zip_derived_cl1842]) ).
thf(zip_derived_cl201_907,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('426',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26804,zip_derived_cl201]) ).
thf(zip_derived_cl1877_908,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1876_909,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl27134,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl1876]) ).
thf(zip_derived_cl198_910,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('427',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27134,zip_derived_cl198]) ).
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('428',plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl1845_911,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1841_912,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26765,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl155]) ).
thf(zip_derived_cl29153,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1845,zip_derived_cl26765]) ).
thf('429',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29153]) ).
thf(zip_derived_cl1868_913,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1852_914,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl179,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26873,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl179]) ).
thf(zip_derived_cl29262,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl26873]) ).
thf('430',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29262]) ).
thf(zip_derived_cl1853_915,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1821_916,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
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_cl26471,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl175]) ).
thf(zip_derived_cl28929,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl26471]) ).
thf('431',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28929]) ).
thf(zip_derived_cl1821_917,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1820_918,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26475,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1821,zip_derived_cl1820]) ).
thf(zip_derived_cl198_919,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('432',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26475,zip_derived_cl198]) ).
thf(zip_derived_cl1868_920,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1866_921,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl27016,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1866]) ).
thf(zip_derived_cl202_922,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('433',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27016,zip_derived_cl202]) ).
thf(zip_derived_cl343,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('434',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_23
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl343]) ).
thf(zip_derived_cl1824_923,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26353_924,plain,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl594]) ).
thf(zip_derived_cl1414,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e13 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl19240,plain,
( ( ( h4 @ e13 )
!= e22 )
<= ( ( h4 @ e13 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1414]) ).
thf(zip_derived_cl30674,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( ( h4 @ e13 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26353,zip_derived_cl19240]) ).
thf(zip_derived_cl30687,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e13 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl30674]) ).
thf('435',plain,
( ( ( h4 @ e13 )
= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30687]) ).
thf(zip_derived_cl1875,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1871_925,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27038,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl167]) ).
thf(zip_derived_cl29401,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1875,zip_derived_cl27038]) ).
thf('436',plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29401]) ).
thf(zip_derived_cl1851_926,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl580_927,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23767,plain,
( ( op2 @ e21 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl580]) ).
thf(zip_derived_cl29834,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl23767]) ).
thf('437',plain,
( ( op2 @ e21 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29834]) ).
thf('438',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl23769_928,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl1838_929,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl29851,plain,
( ( e23 = e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23769,zip_derived_cl1838]) ).
thf(zip_derived_cl201_930,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('439',plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29851,zip_derived_cl201]) ).
thf('440',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1841_931,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1825_932,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26540,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl180]) ).
thf(zip_derived_cl28976,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl26540]) ).
thf('441',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28976]) ).
thf(zip_derived_cl1839,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl580_933,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23764,plain,
( ( op2 @ e22 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl580]) ).
thf(zip_derived_cl29812,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1839,zip_derived_cl23764]) ).
thf('442',plain,
( ( op2 @ e22 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29812]) ).
thf(zip_derived_cl1847_934,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1815_935,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
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_cl26351,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl169]) ).
thf(zip_derived_cl28794,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl26351]) ).
thf('443',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28794]) ).
thf(zip_derived_cl1823,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1815_936,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
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_cl26348,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl145]) ).
thf(zip_derived_cl28779,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1823,zip_derived_cl26348]) ).
thf('444',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28779]) ).
thf(zip_derived_cl26357_937,plain,
( ( ( h4 @ e10 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl26354,zip_derived_cl23774]) ).
thf(zip_derived_cl18278,plain,
( ( ( h4 @ e10 )
!= e20 )
<= ( ( h4 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1366]) ).
thf(zip_derived_cl29415,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ e10 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl18278]) ).
thf('445',plain,
( ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29415]) ).
thf(zip_derived_cl1817_938,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1815_939,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26403,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1817,zip_derived_cl1815]) ).
thf(zip_derived_cl199_940,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('446',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26403,zip_derived_cl199]) ).
thf(zip_derived_cl1816_941,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1815_942,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26380,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1816,zip_derived_cl1815]) ).
thf(zip_derived_cl200_943,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('447',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26380,zip_derived_cl200]) ).
thf(zip_derived_cl1815_944,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1814_945,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26356,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl1814]) ).
thf(zip_derived_cl203_946,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('448',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26356,zip_derived_cl203]) ).
thf(zip_derived_cl1815_947,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1374,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl18440,plain,
( ( ( h4 @ e11 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1374]) ).
thf(zip_derived_cl595_948,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26780,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
<= ( ( h4 @ e11 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl18440,zip_derived_cl595]) ).
thf(zip_derived_cl26782,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ e11 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl26780]) ).
thf('449',plain,
( ( ( h4 @ e11 )
= e21 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26782]) ).
thf(zip_derived_cl1486,plain,
( ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ e13 )
!= e22 )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('450',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ e11 )
!= e21 )
| ( ( h4 @ e13 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1486]) ).
thf(zip_derived_cl1819_949,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl580_950,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23766,plain,
( e21
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl580]) ).
thf(zip_derived_cl29828,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1819,zip_derived_cl23766]) ).
thf('451',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29828]) ).
thf(zip_derived_cl524,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('452',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ~ zip_tseitin_55 ),
inference(split,[status(esa)],[zip_derived_cl524]) ).
thf(zip_derived_cl1828_951,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1824_952,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
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_cl26521,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl149]) ).
thf(zip_derived_cl28953,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1828,zip_derived_cl26521]) ).
thf('453',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28953]) ).
thf(zip_derived_cl1824_953,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1820_954,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_cl26453,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1820,zip_derived_cl146]) ).
thf(zip_derived_cl28900,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl26453]) ).
thf('454',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28900]) ).
thf(zip_derived_cl1824_955,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1816_956,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl145_957,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26371,plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1816,zip_derived_cl145]) ).
thf(zip_derived_cl28809,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl26371]) ).
thf('455',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28809]) ).
thf(zip_derived_cl1824_958,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1823_959,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26525,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1824,zip_derived_cl1823]) ).
thf(zip_derived_cl200_960,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('456',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26525,zip_derived_cl200]) ).
thf(zip_derived_cl1431,plain,
( ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('457',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ e12 )
!= e23 )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ e10 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1431]) ).
thf(zip_derived_cl1876_961,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1872_962,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167_963,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27046,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl167]) ).
thf(zip_derived_cl29407,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl27046]) ).
thf('458',plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29407]) ).
thf(zip_derived_cl412,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('459',plain,
( ~ zip_tseitin_34
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zf_stmt_89,axiom,
( zip_tseitin_41
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl444,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf('460',plain,
( ~ zip_tseitin_41
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl444]) ).
thf(zf_stmt_90,axiom,
( zip_tseitin_37
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl427,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_90]) ).
thf('461',plain,
( ~ zip_tseitin_37
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl427]) ).
thf(zip_derived_cl432,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('462',plain,
( ~ zip_tseitin_38
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zf_stmt_91,axiom,
( zip_tseitin_42
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl452,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf('463',plain,
( ~ zip_tseitin_42
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl452]) ).
thf(zf_stmt_92,axiom,
( zip_tseitin_43
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl457,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_92]) ).
thf('464',plain,
( ~ zip_tseitin_43
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zf_stmt_93,axiom,
( zip_tseitin_33
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl406,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('465',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl406]) ).
thf(zip_derived_cl404,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('466',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl404]) ).
thf(zip_derived_cl407,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('467',plain,
( ~ zip_tseitin_33
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zip_derived_cl1873_964,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1870_965,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27059,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1870]) ).
thf(zip_derived_cl201_966,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('468',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27059,zip_derived_cl201]) ).
thf(zip_derived_cl1871_967,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1870_968,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27039,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1871,zip_derived_cl1870]) ).
thf(zip_derived_cl203_969,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('469',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27039,zip_derived_cl203]) ).
thf(zip_derived_cl1825_970,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1823_971,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26543,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1823]) ).
thf(zip_derived_cl199_972,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('470',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26543,zip_derived_cl199]) ).
thf(zip_derived_cl53,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1837,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl580_973,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26728,plain,
( ( e21 = e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1837,zip_derived_cl580]) ).
thf(zip_derived_cl199_974,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('471',plain,
( ( op2 @ e22 @ e22 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26728,zip_derived_cl199]) ).
thf('472',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zf_stmt_94,axiom,
( zip_tseitin_45
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl464,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf('473',plain,
( ~ zip_tseitin_45
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl464]) ).
thf(zip_derived_cl472,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('474',plain,
( ~ zip_tseitin_46
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zip_derived_cl458,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('475',plain,
( ~ zip_tseitin_44
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl418,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('476',plain,
( ~ zip_tseitin_36
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl1832_975,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1816_976,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
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_cl26373,plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1816,zip_derived_cl168]) ).
thf(zip_derived_cl28821,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl26373]) ).
thf('477',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28821]) ).
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('478',plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1873_977,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1872_978,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27061,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1872]) ).
thf(zip_derived_cl198_979,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('479',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27061,zip_derived_cl198]) ).
thf(zip_derived_cl1872_980,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1871_981,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27048,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1872,zip_derived_cl1871]) ).
thf(zip_derived_cl200_982,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('480',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27048,zip_derived_cl200]) ).
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('481',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1841_983,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1840_984,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26769,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1840]) ).
thf(zip_derived_cl198_985,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('482',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26769,zip_derived_cl198]) ).
thf(zip_derived_cl1840_986,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1839_987,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26756,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1840,zip_derived_cl1839]) ).
thf(zip_derived_cl200_988,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('483',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26756,zip_derived_cl200]) ).
thf(zip_derived_cl80,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('484',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
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('485',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl1873_989,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1871_990,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl27060,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1871]) ).
thf(zip_derived_cl199_991,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('486',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27060,zip_derived_cl199]) ).
thf(zip_derived_cl1825_992,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1822,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26542,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1822]) ).
thf(zip_derived_cl201_993,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('487',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26542,zip_derived_cl201]) ).
thf(zip_derived_cl1824_994,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1822_995,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26524,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1824,zip_derived_cl1822]) ).
thf(zip_derived_cl202_996,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('488',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26524,zip_derived_cl202]) ).
thf(zip_derived_cl1823_997,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1822_998,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26507,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1823,zip_derived_cl1822]) ).
thf(zip_derived_cl203_999,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('489',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26507,zip_derived_cl203]) ).
thf(zip_derived_cl1841_1000,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1839_1001,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26768,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1839]) ).
thf(zip_derived_cl199_1002,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('490',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26768,zip_derived_cl199]) ).
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('491',plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl1836,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl580_1003,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26717,plain,
( ( e21 = e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1836,zip_derived_cl580]) ).
thf(zip_derived_cl200_1004,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('492',plain,
( ( op2 @ e22 @ e22 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26717,zip_derived_cl200]) ).
thf(zip_derived_cl23769_1005,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl580]) ).
thf(zip_derived_cl1840_1006,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl29852,plain,
( ( e23 = e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23769,zip_derived_cl1840]) ).
thf(zip_derived_cl198_1007,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('493',plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29852,zip_derived_cl198]) ).
thf(zf_stmt_95,axiom,
( zip_tseitin_35
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl417,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('494',plain,
( ~ zip_tseitin_35
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zip_derived_cl416,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('495',plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_35
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl416]) ).
thf(zf_stmt_96,axiom,
( zip_tseitin_32
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl402,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_96]) ).
thf('496',plain,
( ~ zip_tseitin_32
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl501,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('497',plain,
( ~ zip_tseitin_51
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl501]) ).
thf(zip_derived_cl1874,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1866_1008,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl166_1009,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl27002,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl166]) ).
thf(zip_derived_cl29358,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl27002]) ).
thf('498',plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29358]) ).
thf(zip_derived_cl1866_1010,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1862_1011,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl162_1012,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26969,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl162]) ).
thf(zip_derived_cl29291,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl26969]) ).
thf('499',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29291]) ).
thf(zf_stmt_97,axiom,
( zip_tseitin_47
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl477,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf('500',plain,
( ~ zip_tseitin_47
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl477]) ).
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('501',plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl1834,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl580_1013,plain,
( e21
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26694,plain,
( ( e21 = e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1834,zip_derived_cl580]) ).
thf(zip_derived_cl203_1014,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('502',plain,
( ( op2 @ e22 @ e22 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26694,zip_derived_cl203]) ).
thf(zip_derived_cl1848,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1847_1015,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26834,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1848,zip_derived_cl1847]) ).
thf(zip_derived_cl200_1016,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('503',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26834,zip_derived_cl200]) ).
thf(zip_derived_cl1849_1017,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1847_1018,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26845,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1849,zip_derived_cl1847]) ).
thf(zip_derived_cl199_1019,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('504',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26845,zip_derived_cl199]) ).
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('505',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1855,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl23774_1020,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl26896,plain,
( ( e20 = e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1855,zip_derived_cl23774]) ).
thf(zip_derived_cl203_1021,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('506',plain,
( ( op2 @ e21 @ e21 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26896,zip_derived_cl203]) ).
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('507',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl1857,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl23774_1022,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl26913,plain,
( ( e20 = e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1857,zip_derived_cl23774]) ).
thf(zip_derived_cl201_1023,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('508',plain,
( ( op2 @ e21 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26913,zip_derived_cl201]) ).
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('509',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1856,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl23774_1024,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl26902,plain,
( ( e20 = e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1856,zip_derived_cl23774]) ).
thf(zip_derived_cl202_1025,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('510',plain,
( ( op2 @ e21 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26902,zip_derived_cl202]) ).
thf(zip_derived_cl1861_1026,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1859_1027,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26956,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1859]) ).
thf(zip_derived_cl199_1028,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('511',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26956,zip_derived_cl199]) ).
thf(zip_derived_cl1860_1029,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1859_1030,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26945,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1860,zip_derived_cl1859]) ).
thf(zip_derived_cl200_1031,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('512',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26945,zip_derived_cl200]) ).
thf(zip_derived_cl1849_1032,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1848_1033,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26846,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1849,zip_derived_cl1848]) ).
thf(zip_derived_cl198_1034,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('513',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26846,zip_derived_cl198]) ).
thf(zip_derived_cl1853_1035,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1850,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26883,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1850]) ).
thf(zip_derived_cl201_1036,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('514',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26883,zip_derived_cl201]) ).
thf(zip_derived_cl1852_1037,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1850_1038,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26874,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1850]) ).
thf(zip_derived_cl202_1039,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('515',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26874,zip_derived_cl202]) ).
thf(zip_derived_cl1851_1040,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1850_1041,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26865,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1851,zip_derived_cl1850]) ).
thf(zip_derived_cl203_1042,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('516',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26865,zip_derived_cl203]) ).
thf(zip_derived_cl1861_1043,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1860_1044,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26957,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1860]) ).
thf(zip_derived_cl198_1045,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('517',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26957,zip_derived_cl198]) ).
thf(zip_derived_cl1829_1046,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1821_1047,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148_1048,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26470,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl148]) ).
thf(zip_derived_cl28924,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl26470]) ).
thf('518',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28924]) ).
thf(zip_derived_cl1821_1049,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1817_1050,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
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_cl26393,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1817,zip_derived_cl144]) ).
thf(zip_derived_cl28837,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1821,zip_derived_cl26393]) ).
thf('519',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28837]) ).
thf(zip_derived_cl1821_1051,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1818_1052,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26473,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1821,zip_derived_cl1818]) ).
thf(zip_derived_cl201_1053,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('520',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26473,zip_derived_cl201]) ).
thf(zip_derived_cl521,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('521',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ~ zip_tseitin_55 ),
inference(split,[status(esa)],[zip_derived_cl521]) ).
thf(zip_derived_cl548,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('522',plain,
( ~ zip_tseitin_59
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl548]) ).
thf(zip_derived_cl1852_1054,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1820_1055,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175_1056,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26455,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1820,zip_derived_cl175]) ).
thf(zip_derived_cl28909,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl26455]) ).
thf('523',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28909]) ).
thf(zip_derived_cl1853_1057,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1852_1058,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26885,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1852]) ).
thf(zip_derived_cl198_1059,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('524',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26885,zip_derived_cl198]) ).
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('525',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
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('526',plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1828_1060,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1820_1061,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148_1062,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26454,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1820,zip_derived_cl148]) ).
thf(zip_derived_cl28905,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1828,zip_derived_cl26454]) ).
thf('527',plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28905]) ).
thf(zip_derived_cl1842_1063,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1826_1064,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
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_cl26559,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl186]) ).
thf(zip_derived_cl28983,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl26559]) ).
thf('528',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28983]) ).
thf(zip_derived_cl1844_1065,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1842_1066,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26797,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1844,zip_derived_cl1842]) ).
thf(zip_derived_cl202_1067,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('529',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26797,zip_derived_cl202]) ).
thf(zf_stmt_98,type,
zip_tseitin_63: $o ).
thf(zf_stmt_99,type,
zip_tseitin_62: $o ).
thf(zf_stmt_100,type,
zip_tseitin_61: $o ).
thf(zf_stmt_101,type,
zip_tseitin_60: $o ).
thf(zf_stmt_102,type,
zip_tseitin_59: $o ).
thf(zf_stmt_103,type,
zip_tseitin_58: $o ).
thf(zf_stmt_104,type,
zip_tseitin_57: $o ).
thf(zf_stmt_105,type,
zip_tseitin_56: $o ).
thf(zf_stmt_106,type,
zip_tseitin_55: $o ).
thf(zf_stmt_107,type,
zip_tseitin_54: $o ).
thf(zf_stmt_108,type,
zip_tseitin_53: $o ).
thf(zf_stmt_109,type,
zip_tseitin_52: $o ).
thf(zf_stmt_110,type,
zip_tseitin_51: $o ).
thf(zf_stmt_111,type,
zip_tseitin_50: $o ).
thf(zf_stmt_112,type,
zip_tseitin_49: $o ).
thf(zf_stmt_113,type,
zip_tseitin_48: $o ).
thf(zf_stmt_114,type,
zip_tseitin_47: $o ).
thf(zf_stmt_115,type,
zip_tseitin_46: $o ).
thf(zf_stmt_116,type,
zip_tseitin_45: $o ).
thf(zf_stmt_117,type,
zip_tseitin_44: $o ).
thf(zf_stmt_118,type,
zip_tseitin_43: $o ).
thf(zf_stmt_119,type,
zip_tseitin_42: $o ).
thf(zf_stmt_120,type,
zip_tseitin_41: $o ).
thf(zf_stmt_121,type,
zip_tseitin_40: $o ).
thf(zf_stmt_122,type,
zip_tseitin_39: $o ).
thf(zf_stmt_123,type,
zip_tseitin_38: $o ).
thf(zf_stmt_124,type,
zip_tseitin_37: $o ).
thf(zf_stmt_125,type,
zip_tseitin_36: $o ).
thf(zf_stmt_126,type,
zip_tseitin_35: $o ).
thf(zf_stmt_127,type,
zip_tseitin_34: $o ).
thf(zf_stmt_128,type,
zip_tseitin_33: $o ).
thf(zf_stmt_129,type,
zip_tseitin_32: $o ).
thf(zf_stmt_130,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_cl575,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_130]) ).
thf('530',plain,
( zip_tseitin_47
| zip_tseitin_36
| zip_tseitin_40
| zip_tseitin_39
| zip_tseitin_34
| zip_tseitin_41
| zip_tseitin_37
| zip_tseitin_44
| zip_tseitin_38
| zip_tseitin_32
| zip_tseitin_42
| zip_tseitin_43
| zip_tseitin_33
| zip_tseitin_45
| zip_tseitin_35
| zip_tseitin_46 ),
inference(split,[status(esa)],[zip_derived_cl575]) ).
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('531',plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1829_1068,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1826_1069,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26614,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl1826]) ).
thf(zip_derived_cl201_1070,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('532',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26614,zip_derived_cl201]) ).
thf(zip_derived_cl555,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('533',plain,
( ~ zip_tseitin_60
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl555]) ).
thf(zip_derived_cl574,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_130]) ).
thf('534',plain,
( zip_tseitin_60
| zip_tseitin_59
| zip_tseitin_49
| zip_tseitin_56
| zip_tseitin_48
| zip_tseitin_61
| zip_tseitin_62
| zip_tseitin_54
| zip_tseitin_52
| zip_tseitin_53
| zip_tseitin_58
| zip_tseitin_50
| zip_tseitin_57
| zip_tseitin_55
| zip_tseitin_51
| zip_tseitin_63 ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl49606,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG128+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o93QyRlxes true
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:07:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /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
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 44.20/6.94 % Solved by fo/fo1_av.sh.
% 44.20/6.94 % done 24256 iterations in 6.019s
% 44.20/6.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 44.20/6.94 % SZS output start Refutation
% See solution above
% 44.20/6.97
% 44.20/6.97
% 44.20/6.97 % Terminating...
% 44.74/7.08 % Runner terminated.
% 44.74/7.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------