TSTP Solution File: ALG109+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG109+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YxyVKIG2lj true
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:52 EDT 2023
% Result : Theorem 71.83s 10.78s
% Output : Refutation 72.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 414
% Syntax : Number of formulae : 2449 ( 445 unt; 270 typ; 0 def)
% Number of atoms : 6872 (5915 equ; 0 cnn)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 20732 (2263 ~;2317 |;1438 &;13776 @)
% ( 0 <=>; 128 =>; 810 <=; 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 : 144 ( 142 usr; 137 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_66_type,type,
zip_tseitin_66: $o ).
thf(e23_type,type,
e23: $i ).
thf(zip_tseitin_107_type,type,
zip_tseitin_107: $o ).
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_125_type,type,
zip_tseitin_125: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $o ).
thf(zip_tseitin_101_type,type,
zip_tseitin_101: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(zip_tseitin_119_type,type,
zip_tseitin_119: $o ).
thf(zip_tseitin_90_type,type,
zip_tseitin_90: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_120_type,type,
zip_tseitin_120: $o ).
thf(zip_tseitin_64_type,type,
zip_tseitin_64: $o ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(zip_tseitin_73_type,type,
zip_tseitin_73: $o ).
thf(zip_tseitin_126_type,type,
zip_tseitin_126: $o ).
thf(zip_tseitin_93_type,type,
zip_tseitin_93: $o ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $o ).
thf(zip_tseitin_88_type,type,
zip_tseitin_88: $o ).
thf(zip_tseitin_108_type,type,
zip_tseitin_108: $o ).
thf(zip_tseitin_79_type,type,
zip_tseitin_79: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_103_type,type,
zip_tseitin_103: $o ).
thf(zip_tseitin_106_type,type,
zip_tseitin_106: $o ).
thf(zip_tseitin_121_type,type,
zip_tseitin_121: $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_80_type,type,
zip_tseitin_80: $o ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $o ).
thf(zip_tseitin_100_type,type,
zip_tseitin_100: $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_84_type,type,
zip_tseitin_84: $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_95_type,type,
zip_tseitin_95: $o ).
thf(zip_tseitin_63_type,type,
zip_tseitin_63: $o ).
thf(zip_tseitin_122_type,type,
zip_tseitin_122: $o ).
thf(zip_tseitin_57_type,type,
zip_tseitin_57: $o ).
thf(zip_tseitin_117_type,type,
zip_tseitin_117: $o ).
thf(zip_tseitin_123_type,type,
zip_tseitin_123: $o ).
thf(zip_tseitin_69_type,type,
zip_tseitin_69: $o ).
thf(zip_tseitin_62_type,type,
zip_tseitin_62: $o ).
thf(zip_tseitin_97_type,type,
zip_tseitin_97: $o ).
thf(zip_tseitin_70_type,type,
zip_tseitin_70: $o ).
thf(e12_type,type,
e12: $i ).
thf(zip_tseitin_72_type,type,
zip_tseitin_72: $o ).
thf(zip_tseitin_75_type,type,
zip_tseitin_75: $o ).
thf(zip_tseitin_86_type,type,
zip_tseitin_86: $o ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(zip_tseitin_67_type,type,
zip_tseitin_67: $o ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_99_type,type,
zip_tseitin_99: $o ).
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_87_type,type,
zip_tseitin_87: $o ).
thf(zip_tseitin_105_type,type,
zip_tseitin_105: $o ).
thf(zip_tseitin_104_type,type,
zip_tseitin_104: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_110_type,type,
zip_tseitin_110: $o ).
thf(zip_tseitin_32_type,type,
zip_tseitin_32: $o ).
thf(zip_tseitin_114_type,type,
zip_tseitin_114: $o ).
thf(zip_tseitin_74_type,type,
zip_tseitin_74: $o ).
thf(zip_tseitin_109_type,type,
zip_tseitin_109: $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_102_type,type,
zip_tseitin_102: $o ).
thf(zip_tseitin_53_type,type,
zip_tseitin_53: $o ).
thf(zip_tseitin_113_type,type,
zip_tseitin_113: $o ).
thf(zip_tseitin_58_type,type,
zip_tseitin_58: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(zip_tseitin_96_type,type,
zip_tseitin_96: $o ).
thf(zip_tseitin_65_type,type,
zip_tseitin_65: $o ).
thf(zip_tseitin_85_type,type,
zip_tseitin_85: $o ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $o ).
thf(zip_tseitin_124_type,type,
zip_tseitin_124: $o ).
thf(zip_tseitin_92_type,type,
zip_tseitin_92: $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_98_type,type,
zip_tseitin_98: $o ).
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_127_type,type,
zip_tseitin_127: $o ).
thf(zip_tseitin_81_type,type,
zip_tseitin_81: $o ).
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(zip_tseitin_78_type,type,
zip_tseitin_78: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_115_type,type,
zip_tseitin_115: $o ).
thf(zip_tseitin_82_type,type,
zip_tseitin_82: $o ).
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_76_type,type,
zip_tseitin_76: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_111_type,type,
zip_tseitin_111: $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_83_type,type,
zip_tseitin_83: $o ).
thf(zip_tseitin_116_type,type,
zip_tseitin_116: $o ).
thf(zip_tseitin_77_type,type,
zip_tseitin_77: $o ).
thf(zip_tseitin_59_type,type,
zip_tseitin_59: $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $o ).
thf(zip_tseitin_94_type,type,
zip_tseitin_94: $o ).
thf(zip_tseitin_118_type,type,
zip_tseitin_118: $o ).
thf(zip_tseitin_71_type,type,
zip_tseitin_71: $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(zip_tseitin_89_type,type,
zip_tseitin_89: $o ).
thf(zip_tseitin_112_type,type,
zip_tseitin_112: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(zip_tseitin_91_type,type,
zip_tseitin_91: $o ).
thf(zip_tseitin_68_type,type,
zip_tseitin_68: $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_cl58,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1978,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl1947,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
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_cl183,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( e22
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) )
& ( e21
= ( op2 @ e20 @ e20 ) ) ) ).
thf(zip_derived_cl701,plain,
( e23
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl703,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23988,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28575,plain,
( e23
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl23988]) ).
thf(zip_derived_cl28756,plain,
( ( e23 != e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1947,zip_derived_cl28575]) ).
thf('0',plain,
( ( op2 @ e23 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28756]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) )
| ( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 ) )
| ( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 ) )
| ( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 ) )
| ( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 ) )
| ( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= e20 ) )
| ( ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) )
| ( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 ) )
| ( ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 ) )
| ( ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ~ ( ( ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ~ ( ( ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ~ ( ( ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ~ ( ( ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ~ ( ( ( ( ( op2 @ e20 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ~ ( ( ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ~ ( ( ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 ) ) )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ~ ( ( ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) )
| ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e20 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ~ ( ( ( ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ~ ( ( ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) )
| ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ~ ( ( ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e23 )
& ~ ( ( ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 ) )
| ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ~ ( ( ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ~ ( ( ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) )
| ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ~ ( ( ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ~ ( ( ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_127
=> ( ~ ( ( ( op2 @ e23 @ e23 )
= e23 )
& zip_tseitin_126 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl693,plain,
( ~ zip_tseitin_126
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_126 ),
inference(split,[status(esa)],[zip_derived_cl693]) ).
thf(zf_stmt_1,axiom,
( ( ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) )
=> zip_tseitin_126 ) ).
thf(zip_derived_cl692,plain,
( zip_tseitin_126
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('2',plain,
( zip_tseitin_126
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl692]) ).
thf(zf_stmt_2,axiom,
( ( ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e20 ) )
| ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) )
=> zip_tseitin_118 ) ).
thf(zip_derived_cl668,plain,
( zip_tseitin_118
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('3',plain,
( zip_tseitin_118
| ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl668]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_119
=> ( ~ ( ( ( op2 @ e22 @ e22 )
= e23 )
& zip_tseitin_118 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl669,plain,
( ~ zip_tseitin_118
| ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('4',plain,
( ~ zip_tseitin_119
| ~ zip_tseitin_118
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl669]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_113
=> ( ~ ( ( ( op2 @ e22 @ e22 )
= e20 )
& zip_tseitin_112 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl651,plain,
( ~ zip_tseitin_112
| ( ( op2 @ e22 @ e22 )
!= e20 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('5',plain,
( ~ zip_tseitin_113
| ~ zip_tseitin_112
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl651]) ).
thf(zf_stmt_5,axiom,
( ( ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) )
| ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) )
=> zip_tseitin_112 ) ).
thf(zip_derived_cl647,plain,
( zip_tseitin_112
| ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('6',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| zip_tseitin_112
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl647]) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_123
=> ( ~ ( ( ( op2 @ e23 @ e23 )
= e21 )
& zip_tseitin_122 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl681,plain,
( ~ zip_tseitin_122
| ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('7',plain,
( ~ zip_tseitin_123
| ~ zip_tseitin_122
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl681]) ).
thf(zf_stmt_7,axiom,
( ( ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e20 ) )
| ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) )
=> zip_tseitin_122 ) ).
thf(zip_derived_cl677,plain,
( zip_tseitin_122
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('8',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| zip_tseitin_122
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl677]) ).
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_cl1971,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1968,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26000,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1971,zip_derived_cl1968]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('9',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26000,zip_derived_cl201]) ).
thf(zf_stmt_8,type,
zip_tseitin_127: $o ).
thf(zf_stmt_9,type,
zip_tseitin_126: $o ).
thf(zf_stmt_10,type,
zip_tseitin_125: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_125
=> ( ~ ( ( ( op2 @ e23 @ e23 )
= e22 )
& zip_tseitin_124 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_124: $o ).
thf(zf_stmt_13,axiom,
( ( ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e20 ) )
| ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) )
=> zip_tseitin_124 ) ).
thf(zf_stmt_14,type,
zip_tseitin_123: $o ).
thf(zf_stmt_15,type,
zip_tseitin_122: $o ).
thf(zf_stmt_16,type,
zip_tseitin_121: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_121
=> ( ~ ( ( ( op2 @ e23 @ e23 )
= e20 )
& zip_tseitin_120 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_120: $o ).
thf(zf_stmt_19,axiom,
( ( ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) )
| ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e21 ) )
| ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) )
=> zip_tseitin_120 ) ).
thf(zf_stmt_20,type,
zip_tseitin_119: $o ).
thf(zf_stmt_21,type,
zip_tseitin_118: $o ).
thf(zf_stmt_22,type,
zip_tseitin_117: $o ).
thf(zf_stmt_23,axiom,
( zip_tseitin_117
=> ( ~ ( ( ( op2 @ e22 @ e22 )
= e22 )
& zip_tseitin_116 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_116: $o ).
thf(zf_stmt_25,axiom,
( ( ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) )
=> zip_tseitin_116 ) ).
thf(zf_stmt_26,type,
zip_tseitin_115: $o ).
thf(zf_stmt_27,axiom,
( zip_tseitin_115
=> ( ~ ( ( ( op2 @ e22 @ e22 )
= e21 )
& zip_tseitin_114 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_114: $o ).
thf(zf_stmt_29,axiom,
( ( ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e20 ) )
| ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) )
| ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) )
=> zip_tseitin_114 ) ).
thf(zf_stmt_30,type,
zip_tseitin_113: $o ).
thf(zf_stmt_31,type,
zip_tseitin_112: $o ).
thf(zf_stmt_32,type,
zip_tseitin_111: $o ).
thf(zf_stmt_33,axiom,
( zip_tseitin_111
=> ( ~ ( ( ( op2 @ e21 @ e21 )
= e23 )
& zip_tseitin_110 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_34,type,
zip_tseitin_110: $o ).
thf(zf_stmt_35,axiom,
( ( ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e20 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) )
=> zip_tseitin_110 ) ).
thf(zf_stmt_36,type,
zip_tseitin_109: $o ).
thf(zf_stmt_37,axiom,
( zip_tseitin_109
=> ( ~ ( ( ( op2 @ e21 @ e21 )
= e22 )
& zip_tseitin_108 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_38,type,
zip_tseitin_108: $o ).
thf(zf_stmt_39,axiom,
( ( ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) )
=> zip_tseitin_108 ) ).
thf(zf_stmt_40,type,
zip_tseitin_107: $o ).
thf(zf_stmt_41,axiom,
( zip_tseitin_107
=> ( ~ ( ( ( op2 @ e21 @ e21 )
= e21 )
& zip_tseitin_106 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_42,type,
zip_tseitin_106: $o ).
thf(zf_stmt_43,axiom,
( ( ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) )
=> zip_tseitin_106 ) ).
thf(zf_stmt_44,type,
zip_tseitin_105: $o ).
thf(zf_stmt_45,axiom,
( zip_tseitin_105
=> ( ~ ( ( ( op2 @ e21 @ e21 )
= e20 )
& zip_tseitin_104 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_46,type,
zip_tseitin_104: $o ).
thf(zf_stmt_47,axiom,
( ( ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) )
| ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) )
| ( ( ( op2 @ e21 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) )
=> zip_tseitin_104 ) ).
thf(zf_stmt_48,type,
zip_tseitin_103: $o ).
thf(zf_stmt_49,axiom,
( zip_tseitin_103
=> ( ~ ( ( ( op2 @ e20 @ e20 )
= e23 )
& zip_tseitin_102 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_50,type,
zip_tseitin_102: $o ).
thf(zf_stmt_51,axiom,
( ( ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) )
| ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) )
=> zip_tseitin_102 ) ).
thf(zf_stmt_52,type,
zip_tseitin_101: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_101
=> ( ~ ( ( ( op2 @ e20 @ e20 )
= e22 )
& zip_tseitin_100 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_54,type,
zip_tseitin_100: $o ).
thf(zf_stmt_55,axiom,
( ( ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) )
| ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) )
=> zip_tseitin_100 ) ).
thf(zf_stmt_56,type,
zip_tseitin_99: $o ).
thf(zf_stmt_57,axiom,
( zip_tseitin_99
=> ( ~ ( ( ( op2 @ e20 @ e20 )
= e21 )
& zip_tseitin_98 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_98: $o ).
thf(zf_stmt_59,axiom,
( ( ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) )
| ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) )
=> zip_tseitin_98 ) ).
thf(zf_stmt_60,type,
zip_tseitin_97: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_97
=> ( ~ ( ( ( op2 @ e20 @ e20 )
= e20 )
& zip_tseitin_96 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_96: $o ).
thf(zf_stmt_63,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) )
| ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 ) )
| ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 ) )
| ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) )
=> zip_tseitin_96 ) ).
thf(zf_stmt_64,type,
zip_tseitin_95: $o ).
thf(zf_stmt_65,axiom,
( zip_tseitin_95
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e23 )
= ( op2 @ e23 @ e23 ) ) ) ) ).
thf(zf_stmt_66,type,
zip_tseitin_94: $o ).
thf(zf_stmt_67,axiom,
( zip_tseitin_94
=> ( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) ) ) ) ).
thf(zf_stmt_68,type,
zip_tseitin_93: $o ).
thf(zf_stmt_69,axiom,
( zip_tseitin_93
=> ( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) ) ) ) ).
thf(zf_stmt_70,type,
zip_tseitin_92: $o ).
thf(zf_stmt_71,axiom,
( zip_tseitin_92
=> ( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) ) ) ) ).
thf(zf_stmt_72,type,
zip_tseitin_91: $o ).
thf(zf_stmt_73,axiom,
( zip_tseitin_91
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ) ).
thf(zf_stmt_74,type,
zip_tseitin_90: $o ).
thf(zf_stmt_75,axiom,
( zip_tseitin_90
=> ( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
= ( op2 @ e22 @ e22 ) ) ) ) ).
thf(zf_stmt_76,type,
zip_tseitin_89: $o ).
thf(zf_stmt_77,axiom,
( zip_tseitin_89
=> ( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) ) ) ) ).
thf(zf_stmt_78,type,
zip_tseitin_88: $o ).
thf(zf_stmt_79,axiom,
( zip_tseitin_88
=> ( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) ) ) ) ).
thf(zf_stmt_80,type,
zip_tseitin_87: $o ).
thf(zf_stmt_81,axiom,
( zip_tseitin_87
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ) ).
thf(zf_stmt_82,type,
zip_tseitin_86: $o ).
thf(zf_stmt_83,axiom,
( zip_tseitin_86
=> ( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ) ).
thf(zf_stmt_84,type,
zip_tseitin_85: $o ).
thf(zf_stmt_85,axiom,
( zip_tseitin_85
=> ( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
= ( op2 @ e21 @ e21 ) ) ) ) ).
thf(zf_stmt_86,type,
zip_tseitin_84: $o ).
thf(zf_stmt_87,axiom,
( zip_tseitin_84
=> ( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) ) ) ) ).
thf(zf_stmt_88,type,
zip_tseitin_83: $o ).
thf(zf_stmt_89,axiom,
( zip_tseitin_83
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ) ).
thf(zf_stmt_90,type,
zip_tseitin_82: $o ).
thf(zf_stmt_91,axiom,
( zip_tseitin_82
=> ( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ) ).
thf(zf_stmt_92,type,
zip_tseitin_81: $o ).
thf(zf_stmt_93,axiom,
( zip_tseitin_81
=> ( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ) ).
thf(zf_stmt_94,type,
zip_tseitin_80: $o ).
thf(zf_stmt_95,axiom,
( zip_tseitin_80
=> ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
= ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zf_stmt_96,type,
zip_tseitin_79: $o ).
thf(zf_stmt_97,axiom,
( zip_tseitin_79
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_98,type,
zip_tseitin_78: $o ).
thf(zf_stmt_99,axiom,
( zip_tseitin_78
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_100,type,
zip_tseitin_77: $o ).
thf(zf_stmt_101,axiom,
( zip_tseitin_77
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_102,type,
zip_tseitin_76: $o ).
thf(zf_stmt_103,axiom,
( zip_tseitin_76
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_104,type,
zip_tseitin_75: $o ).
thf(zf_stmt_105,axiom,
( zip_tseitin_75
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_106,type,
zip_tseitin_74: $o ).
thf(zf_stmt_107,axiom,
( zip_tseitin_74
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_108,type,
zip_tseitin_73: $o ).
thf(zf_stmt_109,axiom,
( zip_tseitin_73
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_110,type,
zip_tseitin_72: $o ).
thf(zf_stmt_111,axiom,
( zip_tseitin_72
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_112,type,
zip_tseitin_71: $o ).
thf(zf_stmt_113,axiom,
( zip_tseitin_71
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_114,type,
zip_tseitin_70: $o ).
thf(zf_stmt_115,axiom,
( zip_tseitin_70
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_116,type,
zip_tseitin_69: $o ).
thf(zf_stmt_117,axiom,
( zip_tseitin_69
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_118,type,
zip_tseitin_68: $o ).
thf(zf_stmt_119,axiom,
( zip_tseitin_68
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_120,type,
zip_tseitin_67: $o ).
thf(zf_stmt_121,axiom,
( zip_tseitin_67
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_122,type,
zip_tseitin_66: $o ).
thf(zf_stmt_123,axiom,
( zip_tseitin_66
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_124,type,
zip_tseitin_65: $o ).
thf(zf_stmt_125,axiom,
( zip_tseitin_65
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_126,type,
zip_tseitin_64: $o ).
thf(zf_stmt_127,axiom,
( zip_tseitin_64
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_128,axiom,
( ( zip_tseitin_127
| zip_tseitin_125
| zip_tseitin_123
| zip_tseitin_121
| zip_tseitin_119
| zip_tseitin_117
| zip_tseitin_115
| zip_tseitin_113
| zip_tseitin_111
| zip_tseitin_109
| zip_tseitin_107
| zip_tseitin_105
| zip_tseitin_103
| zip_tseitin_101
| zip_tseitin_99
| zip_tseitin_97 )
& ( zip_tseitin_95
| zip_tseitin_94
| zip_tseitin_93
| zip_tseitin_92
| zip_tseitin_91
| zip_tseitin_90
| zip_tseitin_89
| zip_tseitin_88
| zip_tseitin_87
| zip_tseitin_86
| zip_tseitin_85
| zip_tseitin_84
| zip_tseitin_83
| zip_tseitin_82
| zip_tseitin_81
| zip_tseitin_80 )
& ( zip_tseitin_79
| zip_tseitin_78
| zip_tseitin_77
| zip_tseitin_76
| zip_tseitin_75
| zip_tseitin_74
| zip_tseitin_73
| zip_tseitin_72
| zip_tseitin_71
| zip_tseitin_70
| zip_tseitin_69
| zip_tseitin_68
| zip_tseitin_67
| zip_tseitin_66
| zip_tseitin_65
| zip_tseitin_64 ) ) ).
thf(zip_derived_cl697,plain,
( zip_tseitin_79
| zip_tseitin_78
| zip_tseitin_77
| zip_tseitin_76
| zip_tseitin_75
| zip_tseitin_74
| zip_tseitin_73
| zip_tseitin_72
| zip_tseitin_71
| zip_tseitin_70
| zip_tseitin_69
| zip_tseitin_68
| zip_tseitin_67
| zip_tseitin_66
| zip_tseitin_65
| zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf('10',plain,
( zip_tseitin_71
| zip_tseitin_70
| zip_tseitin_76
| zip_tseitin_67
| zip_tseitin_75
| zip_tseitin_77
| zip_tseitin_78
| zip_tseitin_73
| zip_tseitin_64
| zip_tseitin_65
| zip_tseitin_74
| zip_tseitin_66
| zip_tseitin_68
| zip_tseitin_72
| zip_tseitin_69
| zip_tseitin_79 ),
inference(split,[status(esa)],[zip_derived_cl697]) ).
thf(zip_derived_cl536,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_76 ),
inference(cnf,[status(esa)],[zf_stmt_103]) ).
thf('11',plain,
( ~ zip_tseitin_76
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl536]) ).
thf(zip_derived_cl481,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ~ zip_tseitin_67 ),
inference(cnf,[status(esa)],[zf_stmt_121]) ).
thf('12',plain,
( ~ zip_tseitin_67
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl481]) ).
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_cl1942,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1941,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25664,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1942,zip_derived_cl1941]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('13',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25664,zip_derived_cl200]) ).
thf(zip_derived_cl1942_001,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1940,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25663,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1942,zip_derived_cl1940]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('14',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25663,zip_derived_cl202]) ).
thf(zip_derived_cl525,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_105]) ).
thf('15',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl525]) ).
thf(zip_derived_cl529,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_105]) ).
thf('16',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl529]) ).
thf(zip_derived_cl475,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_123]) ).
thf('17',plain,
( ~ zip_tseitin_66
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl475]) ).
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_cl88,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('18',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
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_cl1999,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl703_002,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26310,plain,
( ( e21 = e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1999,zip_derived_cl703]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('19',plain,
( ( op2 @ e20 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26310,zip_derived_cl199]) ).
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_cl1986,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1985,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26157,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1986,zip_derived_cl1985]) ).
thf(zip_derived_cl200_003,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('20',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26157,zip_derived_cl200]) ).
thf(zip_derived_cl68,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('21',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl1985_004,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1984,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26146,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1985,zip_derived_cl1984]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('22',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26146,zip_derived_cl203]) ).
thf(zip_derived_cl547,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf('23',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl516,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_109]) ).
thf('24',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl516]) ).
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('25',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl542,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_101]) ).
thf('26',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl542]) ).
thf(zip_derived_cl1978_005,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1977,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26081,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1978,zip_derived_cl1977]) ).
thf(zip_derived_cl200_006,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('27',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26081,zip_derived_cl200]) ).
thf(zip_derived_cl491,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf('28',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl630,plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('29',plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl630]) ).
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('30',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('31',plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1979,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1978_007,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26095,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1979,zip_derived_cl1978]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('32',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26095,zip_derived_cl198]) ).
thf(zip_derived_cl616,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_101 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('33',plain,
( ~ zip_tseitin_101
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl616]) ).
thf(zip_derived_cl670,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('34',plain,
( ~ zip_tseitin_119
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl670]) ).
thf(zip_derived_cl694,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl694]) ).
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_cl1939,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1936,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25636,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1939,zip_derived_cl1936]) ).
thf(zip_derived_cl201_008,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('36',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25636,zip_derived_cl201]) ).
thf(zip_derived_cl682,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('37',plain,
( ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl682]) ).
thf(zip_derived_cl1987,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1986_009,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26174,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1987,zip_derived_cl1986]) ).
thf(zip_derived_cl198_010,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('38',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26174,zip_derived_cl198]) ).
thf(zip_derived_cl652,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('39',plain,
( ~ zip_tseitin_113
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl652]) ).
thf(zip_derived_cl70,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('40',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
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('41',plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl1987_011,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1984_012,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26172,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1987,zip_derived_cl1984]) ).
thf(zip_derived_cl201_013,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('42',plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26172,zip_derived_cl201]) ).
thf(zip_derived_cl1937,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1936_014,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25615,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1937,zip_derived_cl1936]) ).
thf(zip_derived_cl203_015,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('43',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25615,zip_derived_cl203]) ).
thf(zip_derived_cl1939_016,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1937_017,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25637,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1939,zip_derived_cl1937]) ).
thf(zip_derived_cl199_018,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('44',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25637,zip_derived_cl199]) ).
thf(zip_derived_cl1986_019,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1984_020,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26156,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1986,zip_derived_cl1984]) ).
thf(zip_derived_cl202_021,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('45',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26156,zip_derived_cl202]) ).
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_cl1963,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1961,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25911,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1963,zip_derived_cl1961]) ).
thf(zip_derived_cl199_022,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('46',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25911,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_cl1958,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1957,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25835,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1958,zip_derived_cl1957]) ).
thf(zip_derived_cl200_023,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('47',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25835,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_cl1966,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1964,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25939,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1966,zip_derived_cl1964]) ).
thf(zip_derived_cl202_024,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('48',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25939,zip_derived_cl202]) ).
thf(zip_derived_cl1959,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1958_025,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25855,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1959,zip_derived_cl1958]) ).
thf(zip_derived_cl198_026,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('49',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25855,zip_derived_cl198]) ).
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('50',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
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_cl1953,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1952,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25753,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1953,zip_derived_cl1952]) ).
thf(zip_derived_cl203_027,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('51',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25753,zip_derived_cl203]) ).
thf(zip_derived_cl1955,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1952_028,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25784,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1955,zip_derived_cl1952]) ).
thf(zip_derived_cl201_029,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('52',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25784,zip_derived_cl201]) ).
thf(zip_derived_cl610,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('53',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_99 ),
inference(split,[status(esa)],[zip_derived_cl610]) ).
thf(zip_derived_cl609,plain,
( ~ zip_tseitin_98
| ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('54',plain,
( ~ zip_tseitin_98
| ~ zip_tseitin_99
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl609]) ).
thf(zip_derived_cl628,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('55',plain,
( ~ zip_tseitin_105
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl628]) ).
thf(zip_derived_cl627,plain,
( ~ zip_tseitin_104
| ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('56',plain,
( ~ zip_tseitin_105
| ~ zip_tseitin_104
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl627]) ).
thf(zip_derived_cl658,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('57',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_115 ),
inference(split,[status(esa)],[zip_derived_cl658]) ).
thf(zip_derived_cl657,plain,
( ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('58',plain,
( ~ zip_tseitin_114
| ~ zip_tseitin_115
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl1947_030,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1945,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25707,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1947,zip_derived_cl1945]) ).
thf(zip_derived_cl199_031,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('59',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25707,zip_derived_cl199]) ).
thf(zip_derived_cl1947_032,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1944,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25706,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1947,zip_derived_cl1944]) ).
thf(zip_derived_cl201_033,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('60',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25706,zip_derived_cl201]) ).
thf(zip_derived_cl65,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('61',plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl1943,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1941_034,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25674,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1943,zip_derived_cl1941]) ).
thf(zip_derived_cl199_035,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('62',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25674,zip_derived_cl199]) ).
thf(zip_derived_cl1943_036,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1940_037,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25673,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1943,zip_derived_cl1940]) ).
thf(zip_derived_cl201_038,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('63',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25673,zip_derived_cl201]) ).
thf(zip_derived_cl1939_039,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1938,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25638,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1939,zip_derived_cl1938]) ).
thf(zip_derived_cl198_040,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('64',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25638,zip_derived_cl198]) ).
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('65',plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
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('66',plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1938_041,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1937_042,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25627,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1938,zip_derived_cl1937]) ).
thf(zip_derived_cl200_043,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('67',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25627,zip_derived_cl200]) ).
thf(zip_derived_cl1938_044,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1936_045,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25626,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1938,zip_derived_cl1936]) ).
thf(zip_derived_cl202_046,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('68',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25626,zip_derived_cl202]) ).
thf(zip_derived_cl1941_047,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1940_048,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25653,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1941,zip_derived_cl1940]) ).
thf(zip_derived_cl203_049,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('69',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25653,zip_derived_cl203]) ).
thf(zip_derived_cl1955_050,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1953_051,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25785,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1955,zip_derived_cl1953]) ).
thf(zip_derived_cl199_052,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('70',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25785,zip_derived_cl199]) ).
thf(zip_derived_cl1965,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl703_053,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23986,plain,
( e21
!= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl703]) ).
thf(zip_derived_cl28536,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1965,zip_derived_cl23986]) ).
thf('71',plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28536]) ).
thf(zip_derived_cl608,plain,
( zip_tseitin_98
| ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('72',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| zip_tseitin_98
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl608]) ).
thf(zip_derived_cl626,plain,
( zip_tseitin_104
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('73',plain,
( zip_tseitin_104
| ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl626]) ).
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('74',plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl655,plain,
( zip_tseitin_114
| ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('75',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| zip_tseitin_114
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl655]) ).
thf(zip_derived_cl1954,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1952_054,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25767,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1954,zip_derived_cl1952]) ).
thf(zip_derived_cl202_055,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('76',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25767,zip_derived_cl202]) ).
thf(zip_derived_cl1954_056,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1953_057,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25768,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1954,zip_derived_cl1953]) ).
thf(zip_derived_cl200_058,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('77',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25768,zip_derived_cl200]) ).
thf(zip_derived_cl1955_059,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1954_060,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25786,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1955,zip_derived_cl1954]) ).
thf(zip_derived_cl198_061,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('78',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25786,zip_derived_cl198]) ).
thf(zip_derived_cl1959_062,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1956,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25853,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1959,zip_derived_cl1956]) ).
thf(zip_derived_cl201_063,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('79',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25853,zip_derived_cl201]) ).
thf(zip_derived_cl1965_064,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1964_065,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25928,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1965,zip_derived_cl1964]) ).
thf(zip_derived_cl203_066,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('80',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25928,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('81',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl1959_067,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1957_068,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25854,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1959,zip_derived_cl1957]) ).
thf(zip_derived_cl199_069,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('82',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25854,zip_derived_cl199]) ).
thf(zip_derived_cl77,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('83',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl1967,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1964_070,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25950,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1967,zip_derived_cl1964]) ).
thf(zip_derived_cl201_071,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('84',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25950,zip_derived_cl201]) ).
thf(zip_derived_cl1967_072,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1965_073,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl25951,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1967,zip_derived_cl1965]) ).
thf(zip_derived_cl199_074,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('85',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25951,zip_derived_cl199]) ).
thf(zip_derived_cl1957_075,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1956_076,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl25817,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1957,zip_derived_cl1956]) ).
thf(zip_derived_cl203_077,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('86',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25817,zip_derived_cl203]) ).
thf(zip_derived_cl1962,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1960,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25898,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1962,zip_derived_cl1960]) ).
thf(zip_derived_cl202_078,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('87',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25898,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('88',plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl1962_079,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1961_080,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25899,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1962,zip_derived_cl1961]) ).
thf(zip_derived_cl200_081,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('89',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25899,zip_derived_cl200]) ).
thf(zip_derived_cl1963_082,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1962_083,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25912,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1963,zip_derived_cl1962]) ).
thf(zip_derived_cl198_084,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('90',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25912,zip_derived_cl198]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('91',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1996,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl703_085,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26287,plain,
( ( e21 = e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1996,zip_derived_cl703]) ).
thf(zip_derived_cl203_086,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('92',plain,
( ( op2 @ e20 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26287,zip_derived_cl203]) ).
thf(zip_derived_cl646,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('93',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl646]) ).
thf(zip_derived_cl640,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('94',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_109 ),
inference(split,[status(esa)],[zip_derived_cl640]) ).
thf(zip_derived_cl634,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('95',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl634]) ).
thf(zip_derived_cl633,plain,
( ~ zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('96',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_106 ),
inference(split,[status(esa)],[zip_derived_cl633]) ).
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_cl1975,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1973,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26042,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1975,zip_derived_cl1973]) ).
thf(zip_derived_cl199_087,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('97',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26042,zip_derived_cl199]) ).
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_cl1982,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1980,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26113,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1982,zip_derived_cl1980]) ).
thf(zip_derived_cl202_088,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('98',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26113,zip_derived_cl202]) ).
thf(zip_derived_cl1982_089,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl702,plain,
( e22
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl701_090,plain,
( e23
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23973,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl23978,plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl23973]) ).
thf(zip_derived_cl28461,plain,
( ( e22 != e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1982,zip_derived_cl23978]) ).
thf('99',plain,
( ( op2 @ e21 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28461]) ).
thf(zip_derived_cl1981,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl703_091,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23987,plain,
( e21
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl703]) ).
thf(zip_derived_cl28558,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1981,zip_derived_cl23987]) ).
thf('100',plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28558]) ).
thf(zip_derived_cl1978_092,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1976,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26080,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1978,zip_derived_cl1976]) ).
thf(zip_derived_cl202_093,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('101',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26080,zip_derived_cl202]) ).
thf(zip_derived_cl629,plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('102',plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl629]) ).
thf(zip_derived_cl663,plain,
( ~ zip_tseitin_116
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('103',plain,
( ~ zip_tseitin_117
| ~ zip_tseitin_116
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl663]) ).
thf(zip_derived_cl664,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('104',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl664]) ).
thf(zip_derived_cl661,plain,
( zip_tseitin_116
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('105',plain,
( zip_tseitin_116
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl661]) ).
thf(zip_derived_cl603,plain,
( ~ zip_tseitin_96
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('106',plain,
( ~ zip_tseitin_97
| ~ zip_tseitin_96
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl603]) ).
thf(zip_derived_cl604,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('107',plain,
( ~ zip_tseitin_97
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl604]) ).
thf(zip_derived_cl599,plain,
( zip_tseitin_96
| ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('108',plain,
( zip_tseitin_96
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl599]) ).
thf(zip_derived_cl622,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_103 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('109',plain,
( ~ zip_tseitin_103
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl622]) ).
thf(zip_derived_cl621,plain,
( ~ zip_tseitin_102
| ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_103 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('110',plain,
( ~ zip_tseitin_103
| ~ zip_tseitin_102
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl621]) ).
thf(zip_derived_cl676,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('111',plain,
( ~ zip_tseitin_121
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl676]) ).
thf(zip_derived_cl675,plain,
( ~ zip_tseitin_120
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('112',plain,
( ~ zip_tseitin_121
| ~ zip_tseitin_120
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl675]) ).
thf(zip_derived_cl619,plain,
( zip_tseitin_102
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('113',plain,
( zip_tseitin_102
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(zip_derived_cl673,plain,
( zip_tseitin_120
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('114',plain,
( zip_tseitin_120
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl673]) ).
thf(zip_derived_cl23973_094,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
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_cl1949,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25718,plain,
( ( e22 = e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23973,zip_derived_cl1949]) ).
thf(zip_derived_cl200_095,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('115',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25718,zip_derived_cl200]) ).
thf(zip_derived_cl23973_096,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl1948,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25713,plain,
( ( e22 = e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23973,zip_derived_cl1948]) ).
thf(zip_derived_cl202_097,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('116',plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25713,zip_derived_cl202]) ).
thf(zip_derived_cl1951,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl23973_098,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl25727,plain,
( ( e22 = e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1951,zip_derived_cl23973]) ).
thf(zip_derived_cl198_099,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('117',plain,
( ( op2 @ e23 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25727,zip_derived_cl198]) ).
thf('118',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('119',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl688,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('120',plain,
( ~ zip_tseitin_125
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl688]) ).
thf(zip_derived_cl695,plain,
( zip_tseitin_127
| zip_tseitin_125
| zip_tseitin_123
| zip_tseitin_121
| zip_tseitin_119
| zip_tseitin_117
| zip_tseitin_115
| zip_tseitin_113
| zip_tseitin_111
| zip_tseitin_109
| zip_tseitin_107
| zip_tseitin_105
| zip_tseitin_103
| zip_tseitin_101
| zip_tseitin_99
| zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf('121',plain,
( zip_tseitin_99
| zip_tseitin_115
| zip_tseitin_125
| zip_tseitin_103
| zip_tseitin_117
| zip_tseitin_101
| zip_tseitin_97
| zip_tseitin_105
| zip_tseitin_127
| zip_tseitin_119
| zip_tseitin_123
| zip_tseitin_109
| zip_tseitin_111
| zip_tseitin_107
| zip_tseitin_121
| zip_tseitin_113 ),
inference(split,[status(esa)],[zip_derived_cl695]) ).
thf(zip_derived_cl1969,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1968_100,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25979,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1969,zip_derived_cl1968]) ).
thf(zip_derived_cl203_101,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('122',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25979,zip_derived_cl203]) ).
thf(zip_derived_cl1971_102,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1969_103,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26001,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1971,zip_derived_cl1969]) ).
thf(zip_derived_cl199_104,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('123',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26001,zip_derived_cl199]) ).
thf(zip_derived_cl1945_105,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1944_106,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25692,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1945,zip_derived_cl1944]) ).
thf(zip_derived_cl203_107,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('124',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25692,zip_derived_cl203]) ).
thf(zip_derived_cl1983,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1980_108,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26125,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1983,zip_derived_cl1980]) ).
thf(zip_derived_cl201_109,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('125',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26125,zip_derived_cl201]) ).
thf(zip_derived_cl1981_110,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1980_111,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26109,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1981,zip_derived_cl1980]) ).
thf(zip_derived_cl203_112,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('126',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26109,zip_derived_cl203]) ).
thf(zip_derived_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('127',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
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('128',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_cl85,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('129',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1979_113,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1976_114,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26093,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1979,zip_derived_cl1976]) ).
thf(zip_derived_cl201_115,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('130',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26093,zip_derived_cl201]) ).
thf(zip_derived_cl1977_116,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1976_117,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26066,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1977,zip_derived_cl1976]) ).
thf(zip_derived_cl203_118,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('131',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26066,zip_derived_cl203]) ).
thf(zip_derived_cl1983_119,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1981_120,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26126,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1983,zip_derived_cl1981]) ).
thf(zip_derived_cl199_121,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('132',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26126,zip_derived_cl199]) ).
thf(zip_derived_cl1970,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1968_122,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25989,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1970,zip_derived_cl1968]) ).
thf(zip_derived_cl202_123,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('133',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25989,zip_derived_cl202]) ).
thf(zip_derived_cl1971_124,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1970_125,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26002,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1971,zip_derived_cl1970]) ).
thf(zip_derived_cl198_126,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('134',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26002,zip_derived_cl198]) ).
thf(zip_derived_cl1979_127,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1977_128,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26094,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1979,zip_derived_cl1977]) ).
thf(zip_derived_cl199_129,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('135',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26094,zip_derived_cl199]) ).
thf(zip_derived_cl500,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf('136',plain,
( ~ zip_tseitin_70
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl500]) ).
thf(zip_derived_cl1974,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1973_130,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26030,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1974,zip_derived_cl1973]) ).
thf(zip_derived_cl200_131,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('137',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26030,zip_derived_cl200]) ).
thf(zip_derived_cl1974_132,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1972,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26029,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1974,zip_derived_cl1972]) ).
thf(zip_derived_cl202_133,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('138',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26029,zip_derived_cl202]) ).
thf(zip_derived_cl1975_134,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1974_135,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26043,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1975,zip_derived_cl1974]) ).
thf(zip_derived_cl198_136,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('139',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26043,zip_derived_cl198]) ).
thf(zip_derived_cl666,plain,
( zip_tseitin_118
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('140',plain,
( zip_tseitin_118
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl666]) ).
thf(zip_derived_cl517,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_109]) ).
thf('141',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl517]) ).
thf(zip_derived_cl463,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_127]) ).
thf('142',plain,
( ~ zip_tseitin_64
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl463]) ).
thf(zip_derived_cl462,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_127]) ).
thf('143',plain,
( ~ zip_tseitin_64
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl462]) ).
thf(zip_derived_cl23988_137,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl1992,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl28581,plain,
( ( e23 = e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23988,zip_derived_cl1992]) ).
thf(zip_derived_cl201_138,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('144',plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28581,zip_derived_cl201]) ).
thf(zip_derived_cl470,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_125]) ).
thf('145',plain,
( ~ zip_tseitin_65
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl470]) ).
thf(zip_derived_cl523,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_107]) ).
thf('146',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl523]) ).
thf(zip_derived_cl520,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_107]) ).
thf('147',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl520]) ).
thf(zip_derived_cl1993,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_cl703_139,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23985,plain,
( e21
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl703]) ).
thf(zip_derived_cl28523,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1993,zip_derived_cl23985]) ).
thf('148',plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28523]) ).
thf(zip_derived_cl487,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_119]) ).
thf('149',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl487]) ).
thf(zip_derived_cl1966_140,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23973_141,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl23977,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl23973]) ).
thf(zip_derived_cl28447,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1966,zip_derived_cl23977]) ).
thf('150',plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28447]) ).
thf(zip_derived_cl512,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_111]) ).
thf('151',plain,
( ~ zip_tseitin_72
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl553,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_79 ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf('152',plain,
( ~ zip_tseitin_79
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl553]) ).
thf(zip_derived_cl549,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_79 ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf('153',plain,
( ~ zip_tseitin_79
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl549]) ).
thf(zip_derived_cl546,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf('154',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl546]) ).
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_cl1990,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1988,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26205,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1990,zip_derived_cl1988]) ).
thf(zip_derived_cl202_142,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('155',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26205,zip_derived_cl202]) ).
thf(zip_derived_cl496,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf('156',plain,
( ~ zip_tseitin_70
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl496]) ).
thf(zip_derived_cl490,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf('157',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl490]) ).
thf('158',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1985_143,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl703_144,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23983,plain,
( e21
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl703]) ).
thf(zip_derived_cl28495,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1985,zip_derived_cl23983]) ).
thf('159',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28495]) ).
thf(zip_derived_cl1987_145,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23988_146,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28573,plain,
( e23
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl23988]) ).
thf(zip_derived_cl28731,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1987,zip_derived_cl28573]) ).
thf('160',plain,
( ( op2 @ e20 @ e23 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28731]) ).
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('161',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1998,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl703_147,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26300,plain,
( ( e21 = e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1998,zip_derived_cl703]) ).
thf(zip_derived_cl200_148,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('162',plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26300,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('163',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1946,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_cl23973_149,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl23976,plain,
( e22
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl23973]) ).
thf(zip_derived_cl28428,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1946,zip_derived_cl23976]) ).
thf('164',plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28428]) ).
thf(zip_derived_cl23988_150,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl1994,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl28582,plain,
( ( e23 = e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23988,zip_derived_cl1994]) ).
thf(zip_derived_cl198_151,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('165',plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28582,zip_derived_cl198]) ).
thf(zip_derived_cl506,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_113]) ).
thf('166',plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_71 ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl1986_152,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1970_153,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25988,plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1970,zip_derived_cl173]) ).
thf(zip_derived_cl29343,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1986,zip_derived_cl25988]) ).
thf('167',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29343]) ).
thf(zip_derived_cl1978_154,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1970_155,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25986,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1970,zip_derived_cl157]) ).
thf(zip_derived_cl29330,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1978,zip_derived_cl25986]) ).
thf('168',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29330]) ).
thf(zip_derived_cl1970_156,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1969_157,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl25990,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1970,zip_derived_cl1969]) ).
thf(zip_derived_cl200_158,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('169',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25990,zip_derived_cl200]) ).
thf(zip_derived_cl476,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_123]) ).
thf('170',plain,
( ~ zip_tseitin_66
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl476]) ).
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('171',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf('172',plain,
( ( op2 @ e21 @ e21 )
= e22 ),
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']) ).
thf(zip_derived_cl35660,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1978,'172']) ).
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_129,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_cl894,plain,
( ( ( h1 @ e11 )
!= e23 )
| ( ( h1 @ e12 )
!= 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_129]) ).
thf(zip_derived_cl6765,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_cl894]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e10 )
= e20 ) ) ).
thf(zip_derived_cl706,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl703_159,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24016,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl24016_160,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl36522,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6765,zip_derived_cl24016,zip_derived_cl24016]) ).
thf(zip_derived_cl705,plain,
( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl703_161,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24007,plain,
( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ e21 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl705,zip_derived_cl703]) ).
thf(zip_derived_cl23988_162,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl23973_163,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl28580,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl752,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_129]) ).
thf(zip_derived_cl3937,plain,
( ( ( h1 @ e12 )
!= e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl752]) ).
thf(zip_derived_cl28632,plain,
( ( e22 != e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28580,zip_derived_cl3937]) ).
thf('173',plain,
( ( h1 @ e12 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28632]) ).
thf(zip_derived_cl1995,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl704,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl703_164,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23997,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl703]) ).
thf(zip_derived_cl720,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_129]) ).
thf(zip_derived_cl3299,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl720]) ).
thf(zip_derived_cl23999,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23997,zip_derived_cl3299]) ).
thf(zip_derived_cl28029,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ e13 )
!= e23 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1995,zip_derived_cl23999]) ).
thf('174',plain,
( ( ( h1 @ e13 )
= e23 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28029]) ).
thf(zip_derived_cl1973_165,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1941_166,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25651,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1941,zip_derived_cl175]) ).
thf(zip_derived_cl29039,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl25651]) ).
thf('175',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29039]) ).
thf(zip_derived_cl1961_167,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1945_168,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
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_cl25689,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1945,zip_derived_cl180]) ).
thf(zip_derived_cl29072,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl25689]) ).
thf('176',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29072]) ).
thf(zip_derived_cl1937_169,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
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_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_cl1745,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl3295,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_cl720]) ).
thf(zip_derived_cl23997_170,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl703]) ).
thf(zip_derived_cl23988_171,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28579,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28579_172,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28651,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3295,zip_derived_cl28579,zip_derived_cl28579]) ).
thf(zip_derived_cl28653,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl28651]) ).
thf(zip_derived_cl24016_173,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28656,plain,
( ( e21
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28653,zip_derived_cl24016]) ).
thf(zip_derived_cl29034,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1937,zip_derived_cl28656]) ).
thf(zip_derived_cl29036,plain,
( $false
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29034]) ).
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_cl1755,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
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_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) )
& ( e12
= ( op1 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) @ e10 ) )
& ( e11
= ( op1 @ e10 @ e10 ) ) ) ).
thf(zip_derived_cl698,plain,
( e13
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl700,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23966,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl28332,plain,
( e13
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl23966]) ).
thf(zip_derived_cl28672,plain,
( ( e13 != e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl28332]) ).
thf('177',plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl28672]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) )
| ( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 ) )
| ( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ) )
| ( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 ) )
| ( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 ) )
| ( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= e10 ) )
| ( ( ( op1 @ e11 @ e12 )
= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) )
| ( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 ) )
| ( ( ( op1 @ e11 @ e13 )
= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) )
| ( ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ~ ( ( ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ~ ( ( ( ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ~ ( ( ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ~ ( ( ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e10 )
& ~ ( ( ( ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ~ ( ( ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ~ ( ( ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) ) )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ~ ( ( ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) )
| ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e10 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ~ ( ( ( ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ~ ( ( ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e13 ) )
| ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ~ ( ( ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e13 )
& ~ ( ( ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) )
| ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ~ ( ( ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ~ ( ( ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) )
| ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ~ ( ( ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ~ ( ( ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ) ) ).
thf(zf_stmt_130,type,
zip_tseitin_63: $o ).
thf(zf_stmt_131,axiom,
( zip_tseitin_63
=> ( ~ ( ( ( op1 @ e13 @ e13 )
= e13 )
& zip_tseitin_62 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_132,type,
zip_tseitin_62: $o ).
thf(zf_stmt_133,axiom,
( ( ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) )
=> zip_tseitin_62 ) ).
thf(zf_stmt_134,type,
zip_tseitin_61: $o ).
thf(zf_stmt_135,axiom,
( zip_tseitin_61
=> ( ~ ( ( ( op1 @ e13 @ e13 )
= e12 )
& zip_tseitin_60 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_136,type,
zip_tseitin_60: $o ).
thf(zf_stmt_137,axiom,
( ( ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e10 ) )
| ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) )
=> zip_tseitin_60 ) ).
thf(zf_stmt_138,type,
zip_tseitin_59: $o ).
thf(zf_stmt_139,axiom,
( zip_tseitin_59
=> ( ~ ( ( ( op1 @ e13 @ e13 )
= e11 )
& zip_tseitin_58 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_140,type,
zip_tseitin_58: $o ).
thf(zf_stmt_141,axiom,
( ( ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e10 ) )
| ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) )
=> zip_tseitin_58 ) ).
thf(zf_stmt_142,type,
zip_tseitin_57: $o ).
thf(zf_stmt_143,axiom,
( zip_tseitin_57
=> ( ~ ( ( ( op1 @ e13 @ e13 )
= e10 )
& zip_tseitin_56 )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_144,type,
zip_tseitin_56: $o ).
thf(zf_stmt_145,axiom,
( ( ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) )
| ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e11 ) )
| ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e12 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) )
=> zip_tseitin_56 ) ).
thf(zf_stmt_146,type,
zip_tseitin_55: $o ).
thf(zf_stmt_147,axiom,
( zip_tseitin_55
=> ( ~ ( ( ( op1 @ e12 @ e12 )
= e13 )
& zip_tseitin_54 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_148,type,
zip_tseitin_54: $o ).
thf(zf_stmt_149,axiom,
( ( ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e10 ) )
| ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) )
=> zip_tseitin_54 ) ).
thf(zf_stmt_150,type,
zip_tseitin_53: $o ).
thf(zf_stmt_151,axiom,
( zip_tseitin_53
=> ( ~ ( ( ( op1 @ e12 @ e12 )
= e12 )
& zip_tseitin_52 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_152,type,
zip_tseitin_52: $o ).
thf(zf_stmt_153,axiom,
( ( ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) )
=> zip_tseitin_52 ) ).
thf(zf_stmt_154,type,
zip_tseitin_51: $o ).
thf(zf_stmt_155,axiom,
( zip_tseitin_51
=> ( ~ ( ( ( op1 @ e12 @ e12 )
= e11 )
& zip_tseitin_50 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_156,type,
zip_tseitin_50: $o ).
thf(zf_stmt_157,axiom,
( ( ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e10 ) )
| ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) )
=> zip_tseitin_50 ) ).
thf(zf_stmt_158,type,
zip_tseitin_49: $o ).
thf(zf_stmt_159,axiom,
( zip_tseitin_49
=> ( ~ ( ( ( op1 @ e12 @ e12 )
= e10 )
& zip_tseitin_48 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_160,type,
zip_tseitin_48: $o ).
thf(zf_stmt_161,axiom,
( ( ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) )
| ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e11 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e12 ) )
| ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) )
=> zip_tseitin_48 ) ).
thf(zf_stmt_162,type,
zip_tseitin_47: $o ).
thf(zf_stmt_163,axiom,
( zip_tseitin_47
=> ( ~ ( ( ( op1 @ e11 @ e11 )
= e13 )
& zip_tseitin_46 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_164,type,
zip_tseitin_46: $o ).
thf(zf_stmt_165,axiom,
( ( ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) )
=> zip_tseitin_46 ) ).
thf(zf_stmt_166,type,
zip_tseitin_45: $o ).
thf(zf_stmt_167,axiom,
( zip_tseitin_45
=> ( ~ ( ( ( op1 @ e11 @ e11 )
= e12 )
& zip_tseitin_44 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_168,type,
zip_tseitin_44: $o ).
thf(zf_stmt_169,axiom,
( ( ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) )
=> zip_tseitin_44 ) ).
thf(zf_stmt_170,type,
zip_tseitin_43: $o ).
thf(zf_stmt_171,axiom,
( zip_tseitin_43
=> ( ~ ( ( ( op1 @ e11 @ e11 )
= e11 )
& zip_tseitin_42 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_172,type,
zip_tseitin_42: $o ).
thf(zf_stmt_173,axiom,
( ( ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) )
=> zip_tseitin_42 ) ).
thf(zf_stmt_174,type,
zip_tseitin_41: $o ).
thf(zf_stmt_175,axiom,
( zip_tseitin_41
=> ( ~ ( ( ( op1 @ e11 @ e11 )
= e10 )
& zip_tseitin_40 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_176,type,
zip_tseitin_40: $o ).
thf(zf_stmt_177,axiom,
( ( ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) )
| ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) )
| ( ( ( op1 @ e11 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) )
=> zip_tseitin_40 ) ).
thf(zf_stmt_178,type,
zip_tseitin_39: $o ).
thf(zf_stmt_179,axiom,
( zip_tseitin_39
=> ( ~ ( ( ( op1 @ e10 @ e10 )
= e13 )
& zip_tseitin_38 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_180,type,
zip_tseitin_38: $o ).
thf(zf_stmt_181,axiom,
( ( ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 ) )
| ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) )
=> zip_tseitin_38 ) ).
thf(zf_stmt_182,type,
zip_tseitin_37: $o ).
thf(zf_stmt_183,axiom,
( zip_tseitin_37
=> ( ~ ( ( ( op1 @ e10 @ e10 )
= e12 )
& zip_tseitin_36 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_184,type,
zip_tseitin_36: $o ).
thf(zf_stmt_185,axiom,
( ( ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) )
| ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) )
=> zip_tseitin_36 ) ).
thf(zf_stmt_186,type,
zip_tseitin_35: $o ).
thf(zf_stmt_187,axiom,
( zip_tseitin_35
=> ( ~ ( ( ( op1 @ e10 @ e10 )
= e11 )
& zip_tseitin_34 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_188,type,
zip_tseitin_34: $o ).
thf(zf_stmt_189,axiom,
( ( ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) )
| ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) )
=> zip_tseitin_34 ) ).
thf(zf_stmt_190,type,
zip_tseitin_33: $o ).
thf(zf_stmt_191,axiom,
( zip_tseitin_33
=> ( ~ ( ( ( op1 @ e10 @ e10 )
= e10 )
& zip_tseitin_32 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_192,type,
zip_tseitin_32: $o ).
thf(zf_stmt_193,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) )
| ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 ) )
| ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 ) )
| ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) )
=> zip_tseitin_32 ) ).
thf(zf_stmt_194,type,
zip_tseitin_31: $o ).
thf(zf_stmt_195,axiom,
( zip_tseitin_31
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e13 )
= ( op1 @ e13 @ e13 ) ) ) ) ).
thf(zf_stmt_196,type,
zip_tseitin_30: $o ).
thf(zf_stmt_197,axiom,
( zip_tseitin_30
=> ( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) ) ) ) ).
thf(zf_stmt_198,type,
zip_tseitin_29: $o ).
thf(zf_stmt_199,axiom,
( zip_tseitin_29
=> ( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e13 )
= ( op1 @ e13 @ e11 ) ) ) ) ).
thf(zf_stmt_200,type,
zip_tseitin_28: $o ).
thf(zf_stmt_201,axiom,
( zip_tseitin_28
=> ( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) ) ) ) ).
thf(zf_stmt_202,type,
zip_tseitin_27: $o ).
thf(zf_stmt_203,axiom,
( zip_tseitin_27
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ) ).
thf(zf_stmt_204,type,
zip_tseitin_26: $o ).
thf(zf_stmt_205,axiom,
( zip_tseitin_26
=> ( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
= ( op1 @ e12 @ e12 ) ) ) ) ).
thf(zf_stmt_206,type,
zip_tseitin_25: $o ).
thf(zf_stmt_207,axiom,
( zip_tseitin_25
=> ( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
= ( op1 @ e12 @ e11 ) ) ) ) ).
thf(zf_stmt_208,type,
zip_tseitin_24: $o ).
thf(zf_stmt_209,axiom,
( zip_tseitin_24
=> ( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) ) ) ) ).
thf(zf_stmt_210,type,
zip_tseitin_23: $o ).
thf(zf_stmt_211,axiom,
( zip_tseitin_23
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ) ).
thf(zf_stmt_212,type,
zip_tseitin_22: $o ).
thf(zf_stmt_213,axiom,
( zip_tseitin_22
=> ( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ) ).
thf(zf_stmt_214,type,
zip_tseitin_21: $o ).
thf(zf_stmt_215,axiom,
( zip_tseitin_21
=> ( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
= ( op1 @ e11 @ e11 ) ) ) ) ).
thf(zf_stmt_216,type,
zip_tseitin_20: $o ).
thf(zf_stmt_217,axiom,
( zip_tseitin_20
=> ( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) ) ) ) ).
thf(zf_stmt_218,type,
zip_tseitin_19: $o ).
thf(zf_stmt_219,axiom,
( zip_tseitin_19
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ) ).
thf(zf_stmt_220,type,
zip_tseitin_18: $o ).
thf(zf_stmt_221,axiom,
( zip_tseitin_18
=> ( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ) ).
thf(zf_stmt_222,type,
zip_tseitin_17: $o ).
thf(zf_stmt_223,axiom,
( zip_tseitin_17
=> ( ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ) ).
thf(zf_stmt_224,type,
zip_tseitin_16: $o ).
thf(zf_stmt_225,axiom,
( zip_tseitin_16
=> ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
= ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zf_stmt_226,type,
zip_tseitin_15: $o ).
thf(zf_stmt_227,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_228,type,
zip_tseitin_14: $o ).
thf(zf_stmt_229,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_230,type,
zip_tseitin_13: $o ).
thf(zf_stmt_231,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_232,type,
zip_tseitin_12: $o ).
thf(zf_stmt_233,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_234,type,
zip_tseitin_11: $o ).
thf(zf_stmt_235,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_236,type,
zip_tseitin_10: $o ).
thf(zf_stmt_237,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_238,type,
zip_tseitin_9: $o ).
thf(zf_stmt_239,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_240,type,
zip_tseitin_8: $o ).
thf(zf_stmt_241,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_242,type,
zip_tseitin_7: $o ).
thf(zf_stmt_243,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_244,type,
zip_tseitin_6: $o ).
thf(zf_stmt_245,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_246,type,
zip_tseitin_5: $o ).
thf(zf_stmt_247,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_248,type,
zip_tseitin_4: $o ).
thf(zf_stmt_249,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_250,type,
zip_tseitin_3: $o ).
thf(zf_stmt_251,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_252,type,
zip_tseitin_2: $o ).
thf(zf_stmt_253,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_254,type,
zip_tseitin_1: $o ).
thf(zf_stmt_255,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_256,type,
zip_tseitin_0: $o ).
thf(zf_stmt_257,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_258,axiom,
( ( zip_tseitin_63
| zip_tseitin_61
| zip_tseitin_59
| zip_tseitin_57
| zip_tseitin_55
| zip_tseitin_53
| zip_tseitin_51
| zip_tseitin_49
| zip_tseitin_47
| zip_tseitin_45
| zip_tseitin_43
| zip_tseitin_41
| zip_tseitin_39
| zip_tseitin_37
| zip_tseitin_35
| zip_tseitin_33 )
& ( 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_cl457,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_258]) ).
thf(zip_derived_cl2682,plain,
( zip_tseitin_21
<= zip_tseitin_21 ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl331,plain,
~ zip_tseitin_21,
inference(cnf,[status(esa)],[zf_stmt_215]) ).
thf('178',plain,
~ zip_tseitin_21,
inference('s_sup-',[status(thm)],[zip_derived_cl2682,zip_derived_cl331]) ).
thf(zip_derived_cl2687,plain,
( zip_tseitin_16
<= zip_tseitin_16 ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl317,plain,
~ zip_tseitin_16,
inference(cnf,[status(esa)],[zf_stmt_225]) ).
thf('179',plain,
~ zip_tseitin_16,
inference('s_sup-',[status(thm)],[zip_derived_cl2687,zip_derived_cl317]) ).
thf(zip_derived_cl2677,plain,
( zip_tseitin_26
<= zip_tseitin_26 ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl345,plain,
~ zip_tseitin_26,
inference(cnf,[status(esa)],[zf_stmt_205]) ).
thf('180',plain,
~ zip_tseitin_26,
inference('s_sup-',[status(thm)],[zip_derived_cl2677,zip_derived_cl345]) ).
thf(zip_derived_cl2672,plain,
( zip_tseitin_31
<= zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl359,plain,
~ zip_tseitin_31,
inference(cnf,[status(esa)],[zf_stmt_195]) ).
thf('181',plain,
~ zip_tseitin_31,
inference('s_sup-',[status(thm)],[zip_derived_cl2672,zip_derived_cl359]) ).
thf(zip_derived_cl334,plain,
( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_213]) ).
thf('182',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl323,plain,
( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_221]) ).
thf('183',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zip_derived_cl340,plain,
( ( ( op1 @ e10 @ e12 )
= ( op1 @ e12 @ e10 ) )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_209]) ).
thf('184',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf(zip_derived_cl320,plain,
( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_223]) ).
thf('185',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl329,plain,
( ( ( op1 @ e10 @ e11 )
= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_217]) ).
thf('186',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf(zip_derived_cl348,plain,
( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_203]) ).
thf('187',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zip_derived_cl357,plain,
( ( ( op1 @ e12 @ e13 )
= ( op1 @ e13 @ e12 ) )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_197]) ).
thf('188',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl357]) ).
thf(zip_derived_cl326,plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_219]) ).
thf('189',plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
| ~ zip_tseitin_19 ),
inference(split,[status(esa)],[zip_derived_cl326]) ).
thf(zip_derived_cl351,plain,
( ( ( op1 @ e10 @ e13 )
= ( op1 @ e13 @ e10 ) )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_201]) ).
thf('190',plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
| ~ zip_tseitin_28 ),
inference(split,[status(esa)],[zip_derived_cl351]) ).
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_cl1783,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl2353,plain,
( ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl136,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23966_174,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl28333,plain,
( e13
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl23966]) ).
thf(zip_derived_cl28685,plain,
( ( e13
!= ( op1 @ e11 @ e12 ) )
<= ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2353,zip_derived_cl28333]) ).
thf(zip_derived_cl29495,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= ( op1 @ e11 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1783,zip_derived_cl28685]) ).
thf('191',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= ( op1 @ e11 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29495]) ).
thf(zip_derived_cl2333,plain,
( ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) )
<= ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
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_cl1775,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl27292,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= ( op1 @ e10 @ e12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2333,zip_derived_cl1775]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23966_175,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl28331,plain,
( e13
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl23966]) ).
thf('192',plain,
( ( ( op1 @ e12 @ e10 )
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27292,zip_derived_cl28331]) ).
thf(zip_derived_cl2327,plain,
( ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) )
<= ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl320]) ).
thf(zip_derived_cl1775_176,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
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_cl24515,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1775,zip_derived_cl140]) ).
thf(zip_derived_cl28771,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2327,zip_derived_cl24515]) ).
thf(zip_derived_cl23966_177,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl28773,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= ( op1 @ e10 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28771,zip_derived_cl23966]) ).
thf('193',plain,
( ( ( op1 @ e11 @ e10 )
!= ( op1 @ e10 @ e11 ) )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28773]) ).
thf(zip_derived_cl341,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_207]) ).
thf('194',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl341]) ).
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_cl1762,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2379,plain,
( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl699,plain,
( e12
= ( op1 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl698_178,plain,
( e13
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23952,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl23954,plain,
( e12
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl23952]) ).
thf(zip_derived_cl28181,plain,
( ( e12
!= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2379,zip_derived_cl23954]) ).
thf(zip_derived_cl29432,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1762,zip_derived_cl28181]) ).
thf('195',plain,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29432]) ).
thf(zip_derived_cl2339,plain,
( ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl326]) ).
thf(zip_derived_cl23952_179,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl27319,plain,
( ( e12
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl23952]) ).
thf(zip_derived_cl1762_180,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24336,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1762,zip_derived_cl124]) ).
thf(zip_derived_cl28491,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27319,zip_derived_cl24336]) ).
thf('196',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= ( op1 @ e10 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28491]) ).
thf(ax2,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('197',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_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_cl1799,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl28331_181,plain,
( e13
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl23966]) ).
thf(zip_derived_cl28660,plain,
( ( e13 != e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1799,zip_derived_cl28331]) ).
thf('198',plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl28660]) ).
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_cl1771,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl28333_182,plain,
( e13
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl23966]) ).
thf(zip_derived_cl28684,plain,
( ( e13 != e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1771,zip_derived_cl28333]) ).
thf('199',plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl28684]) ).
thf(zip_derived_cl1768,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2367,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl341]) ).
thf(zip_derived_cl27482,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1768,zip_derived_cl2367]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl700_183,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23965,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl700]) ).
thf('200',plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27482,zip_derived_cl23965]) ).
thf(zip_derived_cl1774,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1773,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24504,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1774,zip_derived_cl1773]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('201',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24504,zip_derived_cl194]) ).
thf(zip_derived_cl1771_184,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1768_185,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24468,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1771,zip_derived_cl1768]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('202',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24468,zip_derived_cl195]) ).
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_cl1751,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1747,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24141,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1747,zip_derived_cl96]) ).
thf(zip_derived_cl28096,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl24141]) ).
thf('203',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28096]) ).
thf(zip_derived_cl352,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_199]) ).
thf('204',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl1762_186,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1761,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24338,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1762,zip_derived_cl1761]) ).
thf(zip_derived_cl194_187,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('205',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24338,zip_derived_cl194]) ).
thf(zip_derived_cl335,plain,
( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_211]) ).
thf('206',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl335]) ).
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_cl1795,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23966_188,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl28330,plain,
( e13
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl23966]) ).
thf(zip_derived_cl28648,plain,
( ( e13 != e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1795,zip_derived_cl28330]) ).
thf('207',plain,
( ( op1 @ e10 @ e13 )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl28648]) ).
thf(zip_derived_cl1753,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2387,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl27597,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1753,zip_derived_cl2387]) ).
thf(zip_derived_cl246,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_249]) ).
thf(zip_derived_cl2181,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl1796,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1748,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_cl24160,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl129]) ).
thf(zip_derived_cl28142,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1796,zip_derived_cl24160]) ).
thf('208',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28142]) ).
thf(zip_derived_cl276,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('209',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf('210',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
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_cl1779,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1777,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24580,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1779,zip_derived_cl1777]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('211',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24580,zip_derived_cl193]) ).
thf(zip_derived_cl1779_189,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1778,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24581,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1779,zip_derived_cl1778]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('212',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24581,zip_derived_cl192]) ).
thf(zip_derived_cl1753_190,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1749,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24169,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl98]) ).
thf(zip_derived_cl28156,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1753,zip_derived_cl24169]) ).
thf('213',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28156]) ).
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('214',plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1783_191,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1781,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24628,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1783,zip_derived_cl1781]) ).
thf(zip_derived_cl193_192,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('215',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24628,zip_derived_cl193]) ).
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_cl1789,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl23965_193,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl700]) ).
thf(zip_derived_cl28315,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1789,zip_derived_cl23965]) ).
thf('216',plain,
( ( op1 @ e11 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28315]) ).
thf(zip_derived_cl10,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1784,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1752,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24208,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl133]) ).
thf(zip_derived_cl28262,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1784,zip_derived_cl24208]) ).
thf('217',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28262]) ).
thf(zip_derived_cl1761_194,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1760,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24319,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1761,zip_derived_cl1760]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('218',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24319,zip_derived_cl197]) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_237]) ).
thf('219',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_237]) ).
thf('220',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl278,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('221',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf(zip_derived_cl1779_195,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1747_196,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
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_cl24144,plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1747,zip_derived_cl121]) ).
thf(zip_derived_cl28113,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1779,zip_derived_cl24144]) ).
thf('222',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28113]) ).
thf(zip_derived_cl39,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('223',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl427,plain,
( zip_tseitin_54
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf('224',plain,
( zip_tseitin_54
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl427]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('225',plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1797,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl700_197,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23962,plain,
( e11
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl700]) ).
thf(zip_derived_cl28286,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1797,zip_derived_cl23962]) ).
thf('226',plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28286]) ).
thf(zip_derived_cl5,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1767,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1764,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24411,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1767,zip_derived_cl1764]) ).
thf(zip_derived_cl195_198,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('227',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24411,zip_derived_cl195]) ).
thf(zip_derived_cl423,plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('228',plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl423]) ).
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('229',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl430,plain,
( ~ zip_tseitin_54
| ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf('230',plain,
( ~ zip_tseitin_55
| ~ zip_tseitin_54
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
thf(zip_derived_cl1782,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1780,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24617,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1782,zip_derived_cl1780]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('231',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24617,zip_derived_cl196]) ).
thf(zip_derived_cl1782_199,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1781_200,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24618,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1782,zip_derived_cl1781]) ).
thf(zip_derived_cl194_201,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('232',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24618,zip_derived_cl194]) ).
thf(zip_derived_cl1783_202,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1782_203,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24629,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1783,zip_derived_cl1782]) ).
thf(zip_derived_cl192_204,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('233',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24629,zip_derived_cl192]) ).
thf(zip_derived_cl236,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_253]) ).
thf('234',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl436,plain,
( ~ zip_tseitin_56
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('235',plain,
( ~ zip_tseitin_57
| ~ zip_tseitin_56
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl436]) ).
thf(zip_derived_cl434,plain,
( zip_tseitin_56
| ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('236',plain,
( zip_tseitin_56
| ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl434]) ).
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('237',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
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('238',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1778_205,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1777_206,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24564,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1778,zip_derived_cl1777]) ).
thf(zip_derived_cl194_207,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('239',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24564,zip_derived_cl194]) ).
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('240',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1793,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
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_cl700_208,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23961,plain,
( e11
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl700]) ).
thf(zip_derived_cl28275,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1793,zip_derived_cl23961]) ).
thf('241',plain,
( ( op1 @ e10 @ e13 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28275]) ).
thf(zip_derived_cl1753_209,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1745_210,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24114,plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl97]) ).
thf(zip_derived_cl28072,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1753,zip_derived_cl24114]) ).
thf('242',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28072]) ).
thf(zip_derived_cl395,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('243',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl1785,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1784_211,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24651,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1785,zip_derived_cl1784]) ).
thf(zip_derived_cl197_212,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('244',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24651,zip_derived_cl197]) ).
thf(zip_derived_cl390,plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('245',plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl437,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('246',plain,
( ~ zip_tseitin_57
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl437]) ).
thf(zip_derived_cl303,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_231]) ).
thf('247',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf(zip_derived_cl1752_213,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1744,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl97_214,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24101,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl97]) ).
thf(zip_derived_cl28038,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl24101]) ).
thf('248',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28038]) ).
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('249',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('250',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1790,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23952_215,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl23957,plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl23952]) ).
thf(zip_derived_cl28241,plain,
( ( e12 != e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1790,zip_derived_cl23957]) ).
thf('251',plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl28241]) ).
thf(zip_derived_cl1779_216,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1776,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24579,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1779,zip_derived_cl1776]) ).
thf(zip_derived_cl195_217,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('252',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24579,zip_derived_cl195]) ).
thf(zip_derived_cl1778_218,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1776_219,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24563,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1778,zip_derived_cl1776]) ).
thf(zip_derived_cl196_220,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('253',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24563,zip_derived_cl196]) ).
thf(zip_derived_cl1783_221,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1751_222,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
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_cl24195,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl127]) ).
thf(zip_derived_cl28237,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1783,zip_derived_cl24195]) ).
thf('254',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28237]) ).
thf(zip_derived_cl1767_223,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1751_224,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
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_cl24194,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl126]) ).
thf(zip_derived_cl28232,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1767,zip_derived_cl24194]) ).
thf('255',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28232]) ).
thf(zip_derived_cl307,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_229]) ).
thf('256',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl307]) ).
thf(zip_derived_cl1745_225,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1744_226,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24118,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1745,zip_derived_cl1744]) ).
thf(zip_derived_cl197_227,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('257',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24118,zip_derived_cl197]) ).
thf(zip_derived_cl308,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_229]) ).
thf('258',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl308]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_229]) ).
thf('259',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
thf(zip_derived_cl394,plain,
( ~ zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('260',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_42 ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zip_derived_cl391,plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('261',plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl391]) ).
thf(zip_derived_cl1749_228,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1748_229,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24173,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1749,zip_derived_cl1748]) ).
thf(zip_derived_cl197_230,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('262',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24173,zip_derived_cl197]) ).
thf(zip_derived_cl1751_231,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1749_232,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24198,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1751,zip_derived_cl1749]) ).
thf(zip_derived_cl193_233,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('263',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24198,zip_derived_cl193]) ).
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('264',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl23952_234,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl1757,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24272,plain,
( ( e12 = e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23952,zip_derived_cl1757]) ).
thf(zip_derived_cl194_235,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('265',plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24272,zip_derived_cl194]) ).
thf(zip_derived_cl1755_236,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1753_237,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24251,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1755,zip_derived_cl1753]) ).
thf(zip_derived_cl193_238,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('266',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24251,zip_derived_cl193]) ).
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('267',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1751_239,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1748_240,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24197,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1751,zip_derived_cl1748]) ).
thf(zip_derived_cl195_241,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('268',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24197,zip_derived_cl195]) ).
thf(zip_derived_cl1746,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1745_242,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24133,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1746,zip_derived_cl1745]) ).
thf(zip_derived_cl194_243,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('269',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24133,zip_derived_cl194]) ).
thf(zip_derived_cl1746_244,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1744_245,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24132,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1746,zip_derived_cl1744]) ).
thf(zip_derived_cl196_246,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('270',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24132,zip_derived_cl196]) ).
thf(zip_derived_cl1747_247,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1746_248,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24148,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1747,zip_derived_cl1746]) ).
thf(zip_derived_cl192_249,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('271',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24148,zip_derived_cl192]) ).
thf(zip_derived_cl1755_250,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1752_251,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24250,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1755,zip_derived_cl1752]) ).
thf(zip_derived_cl195_252,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('272',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24250,zip_derived_cl195]) ).
thf(zip_derived_cl449,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_135]) ).
thf('273',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl449]) ).
thf(zip_derived_cl364,plain,
( ~ zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf('274',plain,
( ~ zip_tseitin_33
| ~ zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl364]) ).
thf(zip_derived_cl365,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf('275',plain,
( ~ zip_tseitin_33
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl360,plain,
( zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf('276',plain,
( zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl383,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_179]) ).
thf('277',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf(zip_derived_cl1754,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23952_253,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl23955,plain,
( e12
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl23952]) ).
thf(zip_derived_cl28186,plain,
( ( e12 != e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl23955]) ).
thf('278',plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl28186]) ).
thf(zip_derived_cl1787,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1785_254,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24676,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1787,zip_derived_cl1785]) ).
thf(zip_derived_cl193_255,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('279',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24676,zip_derived_cl193]) ).
thf(zip_derived_cl1787_256,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1784_257,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24675,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1787,zip_derived_cl1784]) ).
thf(zip_derived_cl195_258,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('280',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24675,zip_derived_cl195]) ).
thf(zip_derived_cl1787_259,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1786,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24677,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1787,zip_derived_cl1786]) ).
thf(zip_derived_cl192_260,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('281',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24677,zip_derived_cl192]) ).
thf(zip_derived_cl407,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_163]) ).
thf('282',plain,
( ~ zip_tseitin_47
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zip_derived_cl377,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_183]) ).
thf('283',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl377]) ).
thf(zip_derived_cl454,plain,
( ~ zip_tseitin_62
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_131]) ).
thf('284',plain,
( ~ zip_tseitin_63
| ~ zip_tseitin_62
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl454]) ).
thf(zip_derived_cl455,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_131]) ).
thf('285',plain,
( ~ zip_tseitin_63
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl455]) ).
thf(zip_derived_cl453,plain,
( zip_tseitin_62
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_133]) ).
thf('286',plain,
( zip_tseitin_62
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl453]) ).
thf(zip_derived_cl438,plain,
( zip_tseitin_58
| ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e10 ) ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('287',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| zip_tseitin_58
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl438]) ).
thf(zip_derived_cl419,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf('288',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl418,plain,
( ~ zip_tseitin_50
| ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf('289',plain,
( ~ zip_tseitin_51
| ~ zip_tseitin_50
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
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('290',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl416,plain,
( zip_tseitin_50
| ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_157]) ).
thf('291',plain,
( zip_tseitin_50
| ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl416]) ).
thf(zip_derived_cl1794,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1792,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24762,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1794,zip_derived_cl1792]) ).
thf(zip_derived_cl196_261,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('292',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24762,zip_derived_cl196]) ).
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('293',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
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('294',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
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_cl1806,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl700_262,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24859,plain,
( ( e11 = e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1806,zip_derived_cl700]) ).
thf(zip_derived_cl194_263,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('295',plain,
( ( op1 @ e10 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24859,zip_derived_cl194]) ).
thf(zip_derived_cl1798,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1796_264,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24797,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1798,zip_derived_cl1796]) ).
thf(zip_derived_cl196_265,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('296',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24797,zip_derived_cl196]) ).
thf(zip_derived_cl458,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_258]) ).
thf('297',plain,
( zip_tseitin_6
| zip_tseitin_2
| zip_tseitin_5
| zip_tseitin_3
| zip_tseitin_0
| zip_tseitin_8
| zip_tseitin_1
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_14
| zip_tseitin_11
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_4
| zip_tseitin_7
| zip_tseitin_15 ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_247]) ).
thf('298',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl252,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_247]) ).
thf('299',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_251]) ).
thf('300',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_257]) ).
thf('301',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl1774_266,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl23952_267,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl23956,plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl23952]) ).
thf(zip_derived_cl28208,plain,
( ( e12 != e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1774,zip_derived_cl23956]) ).
thf('302',plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl28208]) ).
thf(zip_derived_cl273,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_241]) ).
thf('303',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_255]) ).
thf('304',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl1750,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23954_268,plain,
( e12
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl23952]) ).
thf(zip_derived_cl28179,plain,
( ( e12 != e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl23954]) ).
thf('305',plain,
( ( op1 @ e13 @ e12 )
!= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl28179]) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_235]) ).
thf('306',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl297,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_233]) ).
thf('307',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_249]) ).
thf('308',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl314,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_227]) ).
thf('309',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl314]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_227]) ).
thf('310',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl280,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_237]) ).
thf('311',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('312',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl1766,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1765,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24396,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1766,zip_derived_cl1765]) ).
thf(zip_derived_cl194_269,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('313',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24396,zip_derived_cl194]) ).
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('314',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1763,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1747_270,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
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_cl24143,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1747,zip_derived_cl120]) ).
thf(zip_derived_cl28108,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1763,zip_derived_cl24143]) ).
thf('315',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28108]) ).
thf(zip_derived_cl443,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('316',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_59 ),
inference(split,[status(esa)],[zip_derived_cl443]) ).
thf(zip_derived_cl442,plain,
( ~ zip_tseitin_58
| ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('317',plain,
( ~ zip_tseitin_58
| ~ zip_tseitin_59
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl442]) ).
thf(zip_derived_cl371,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_187]) ).
thf('318',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_35 ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl370,plain,
( ~ zip_tseitin_34
| ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_187]) ).
thf('319',plain,
( ~ zip_tseitin_34
| ~ zip_tseitin_35
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl370]) ).
thf(zip_derived_cl389,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_175]) ).
thf('320',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl388,plain,
( ~ zip_tseitin_40
| ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_175]) ).
thf('321',plain,
( ~ zip_tseitin_41
| ~ zip_tseitin_40
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl369,plain,
( zip_tseitin_34
| ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf('322',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| zip_tseitin_34
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl387,plain,
( zip_tseitin_40
| ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_177]) ).
thf('323',plain,
( zip_tseitin_40
| ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl23966_271,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
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_cl1802,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl28337,plain,
( ( e13 = e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23966,zip_derived_cl1802]) ).
thf(zip_derived_cl192_272,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('324',plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28337,zip_derived_cl192]) ).
thf('325',plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1775_273,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1772,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24516,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1775,zip_derived_cl1772]) ).
thf(zip_derived_cl195_274,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('326',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24516,zip_derived_cl195]) ).
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('327',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl413,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf('328',plain,
( ~ zip_tseitin_49
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl413]) ).
thf(zip_derived_cl431,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf('329',plain,
( ~ zip_tseitin_55
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl425,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf('330',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl425]) ).
thf(zip_derived_cl424,plain,
( ~ zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf('331',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_52 ),
inference(split,[status(esa)],[zip_derived_cl424]) ).
thf(zip_derived_cl1765_275,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1764_276,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24379,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1765,zip_derived_cl1764]) ).
thf(zip_derived_cl197_277,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('332',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24379,zip_derived_cl197]) ).
thf(zip_derived_cl1767_278,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1765_279,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24412,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1767,zip_derived_cl1765]) ).
thf(zip_derived_cl193_280,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('333',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24412,zip_derived_cl193]) ).
thf(zip_derived_cl421,plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('334',plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zip_derived_cl29,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('335',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
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('336',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl23952_281,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl1756,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24262,plain,
( ( e12 = e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23952,zip_derived_cl1756]) ).
thf(zip_derived_cl196_282,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('337',plain,
( ( op1 @ e13 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24262,zip_derived_cl196]) ).
thf(zip_derived_cl1804,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl700_283,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24850,plain,
( ( e11 = e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1804,zip_derived_cl700]) ).
thf(zip_derived_cl197_284,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('338',plain,
( ( op1 @ e10 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24850,zip_derived_cl197]) ).
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('339',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1759,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl23952_285,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl24289,plain,
( ( e12 = e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1759,zip_derived_cl23952]) ).
thf(zip_derived_cl192_286,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('340',plain,
( ( op1 @ e13 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24289,zip_derived_cl192]) ).
thf(zip_derived_cl1807,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl700_287,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24869,plain,
( ( e11 = e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1807,zip_derived_cl700]) ).
thf(zip_derived_cl193_288,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('341',plain,
( ( op1 @ e10 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24869,zip_derived_cl193]) ).
thf(zip_derived_cl1773_289,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1772_290,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24492,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1773,zip_derived_cl1772]) ).
thf(zip_derived_cl197_291,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('342',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24492,zip_derived_cl197]) ).
thf(zip_derived_cl1775_292,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1773_293,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24517,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1775,zip_derived_cl1773]) ).
thf(zip_derived_cl193_294,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('343',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24517,zip_derived_cl193]) ).
thf(zip_derived_cl1791,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1788,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24717,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1791,zip_derived_cl1788]) ).
thf(zip_derived_cl195_295,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('344',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24717,zip_derived_cl195]) ).
thf(zip_derived_cl1763_296,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1760_297,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24353,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1763,zip_derived_cl1760]) ).
thf(zip_derived_cl195_298,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('345',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24353,zip_derived_cl195]) ).
thf(zip_derived_cl1763_299,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1761_300,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24354,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1763,zip_derived_cl1761]) ).
thf(zip_derived_cl193_301,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('346',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24354,zip_derived_cl193]) ).
thf(zip_derived_cl1763_302,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1762_303,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24355,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1763,zip_derived_cl1762]) ).
thf(zip_derived_cl192_304,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('347',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24355,zip_derived_cl192]) ).
thf(zip_derived_cl456,plain,
( zip_tseitin_63
| zip_tseitin_61
| zip_tseitin_59
| zip_tseitin_57
| zip_tseitin_55
| zip_tseitin_53
| zip_tseitin_51
| zip_tseitin_49
| zip_tseitin_47
| zip_tseitin_45
| zip_tseitin_43
| zip_tseitin_41
| zip_tseitin_39
| zip_tseitin_37
| zip_tseitin_35
| zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_258]) ).
thf('348',plain,
( zip_tseitin_59
| zip_tseitin_35
| zip_tseitin_61
| zip_tseitin_33
| zip_tseitin_39
| zip_tseitin_47
| zip_tseitin_57
| zip_tseitin_45
| zip_tseitin_51
| zip_tseitin_55
| zip_tseitin_37
| zip_tseitin_49
| zip_tseitin_41
| zip_tseitin_43
| zip_tseitin_53
| zip_tseitin_63 ),
inference(split,[status(esa)],[zip_derived_cl456]) ).
thf(zip_derived_cl401,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('349',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('350',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl23966_305,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl1800,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl28336,plain,
( ( e13 = e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23966,zip_derived_cl1800]) ).
thf(zip_derived_cl195_306,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('351',plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28336,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('352',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1801,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_cl700_307,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl23963,plain,
( e11
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl700]) ).
thf(zip_derived_cl28292,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1801,zip_derived_cl23963]) ).
thf('353',plain,
( ( op1 @ e10 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl28292]) ).
thf(zip_derived_cl1786_308,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1784_309,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24664,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1786,zip_derived_cl1784]) ).
thf(zip_derived_cl196_310,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('354',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24664,zip_derived_cl196]) ).
thf(zip_derived_cl1753_311,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1752_312,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24224,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1753,zip_derived_cl1752]) ).
thf(zip_derived_cl197_313,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('355',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24224,zip_derived_cl197]) ).
thf(zip_derived_cl1770,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1768_314,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24453,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1770,zip_derived_cl1768]) ).
thf(zip_derived_cl196_315,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('356',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24453,zip_derived_cl196]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_245]) ).
thf('357',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl263,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_243]) ).
thf('358',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl1770_316,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1769,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24454,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1770,zip_derived_cl1769]) ).
thf(zip_derived_cl194_317,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('359',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24454,zip_derived_cl194]) ).
thf(zip_derived_cl1771_318,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1770_319,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24470,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1771,zip_derived_cl1770]) ).
thf(zip_derived_cl192_320,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('360',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24470,zip_derived_cl192]) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_253]) ).
thf('361',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
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('362',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1786_321,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1785_322,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24665,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1786,zip_derived_cl1785]) ).
thf(zip_derived_cl194_323,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('363',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24665,zip_derived_cl194]) ).
thf('364',plain,
( ( op1 @ e11 @ e11 )
!= e11 ),
inference('sat_resolution*',[status(thm)],['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']) ).
thf(zip_derived_cl28385,plain,
( ( op1 @ e11 @ e11 )
!= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2181,'364']) ).
thf('365',plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27597,zip_derived_cl28385]) ).
thf(zip_derived_cl1769_324,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1753_325,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
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_cl24221,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1753,zip_derived_cl132]) ).
thf(zip_derived_cl28304,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl24221]) ).
thf('366',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28304]) ).
thf(zip_derived_cl1777_326,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2355,plain,
( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl335]) ).
thf(zip_derived_cl27418,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1777,zip_derived_cl2355]) ).
thf(zip_derived_cl28332_327,plain,
( e13
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl23966]) ).
thf('367',plain,
( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27418,zip_derived_cl28332]) ).
thf(zip_derived_cl1777_328,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1761_329,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
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_cl24317,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1761,zip_derived_cl122]) ).
thf(zip_derived_cl28441,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl24317]) ).
thf('368',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28441]) ).
thf(zip_derived_cl267,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_243]) ).
thf('369',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl267]) ).
thf('370',plain,
( zip_tseitin_19
| zip_tseitin_28
| zip_tseitin_21
| zip_tseitin_16
| zip_tseitin_17
| zip_tseitin_29
| zip_tseitin_20
| zip_tseitin_23
| zip_tseitin_24
| zip_tseitin_22
| zip_tseitin_26
| zip_tseitin_27
| zip_tseitin_30
| zip_tseitin_18
| zip_tseitin_25
| zip_tseitin_31 ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_245]) ).
thf('371',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ~ zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl1772_330,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1768_331,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24424,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1768,zip_derived_cl107]) ).
thf(zip_derived_cl28725,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1772,zip_derived_cl24424]) ).
thf('372',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28725]) ).
thf(zip_derived_cl1752_332,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1748_333,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl98_334,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24157,plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1748,zip_derived_cl98]) ).
thf(zip_derived_cl28126,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl24157]) ).
thf('373',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28126]) ).
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('374',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1777_335,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1776_336,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24546,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1777,zip_derived_cl1776]) ).
thf(zip_derived_cl197_337,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('375',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24546,zip_derived_cl197]) ).
thf(zip_derived_cl1747_338,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1744_339,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24146,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1747,zip_derived_cl1744]) ).
thf(zip_derived_cl195_340,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('376',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24146,zip_derived_cl195]) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('377',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
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('378',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1792_341,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1744_342,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_cl24104,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl123]) ).
thf(zip_derived_cl28059,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1792,zip_derived_cl24104]) ).
thf('379',plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28059]) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_243]) ).
thf('380',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
thf(zip_derived_cl1769_343,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1768_344,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24440,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1769,zip_derived_cl1768]) ).
thf(zip_derived_cl197_345,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('381',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24440,zip_derived_cl197]) ).
thf(zip_derived_cl400,plain,
( ~ zip_tseitin_44
| ( ( op1 @ e11 @ e11 )
!= e12 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('382',plain,
( ~ zip_tseitin_45
| ~ zip_tseitin_44
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl400]) ).
thf(zip_derived_cl1781_346,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1780_347,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24605,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1781,zip_derived_cl1780]) ).
thf(zip_derived_cl197_348,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('383',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24605,zip_derived_cl197]) ).
thf(zip_derived_cl397,plain,
( zip_tseitin_44
| ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(cnf,[status(esa)],[zf_stmt_169]) ).
thf('384',plain,
( zip_tseitin_44
| ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl422,plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('385',plain,
( zip_tseitin_52
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl422]) ).
thf(zip_derived_cl392,plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('386',plain,
( zip_tseitin_42
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl392]) ).
thf(zip_derived_cl1775_349,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1774_350,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24518,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1775,zip_derived_cl1774]) ).
thf(zip_derived_cl192_351,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('387',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24518,zip_derived_cl192]) ).
thf(zip_derived_cl1766_352,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1764_353,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24395,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1766,zip_derived_cl1764]) ).
thf(zip_derived_cl196_354,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('388',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24395,zip_derived_cl196]) ).
thf(zip_derived_cl1777_355,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1745_356,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl121_357,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24116,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl121]) ).
thf(zip_derived_cl28083,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl24116]) ).
thf('389',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28083]) ).
thf('390',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1795_358,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1747_359,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl123_360,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24145,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1747,zip_derived_cl123]) ).
thf(zip_derived_cl28118,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1795,zip_derived_cl24145]) ).
thf('391',plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28118]) ).
thf(zip_derived_cl1762_361,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1760_362,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24337,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1762,zip_derived_cl1760]) ).
thf(zip_derived_cl196_363,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('392',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24337,zip_derived_cl196]) ).
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('393',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('394',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28156]) ).
thf('395',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('396',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24411,zip_derived_cl195]) ).
thf('397',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24629,zip_derived_cl192]) ).
thf('398',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24173,zip_derived_cl197]) ).
thf('399',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| zip_tseitin_50
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl416]) ).
thf('400',plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf('401',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24379,zip_derived_cl197]) ).
thf('402',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24412,zip_derived_cl193]) ).
thf('403',plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf('404',plain,
( zip_tseitin_35
| zip_tseitin_59
| zip_tseitin_61
| zip_tseitin_33
| zip_tseitin_39
| zip_tseitin_47
| zip_tseitin_57
| zip_tseitin_45
| zip_tseitin_51
| zip_tseitin_55
| zip_tseitin_37
| zip_tseitin_49
| zip_tseitin_41
| zip_tseitin_43
| zip_tseitin_53
| zip_tseitin_63 ),
inference(split,[status(esa)],[zip_derived_cl456]) ).
thf('405',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_45 ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf('406',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24453,zip_derived_cl196]) ).
thf('407',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf('408',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl1767_364,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1766_365,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24413,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1767,zip_derived_cl1766]) ).
thf(zip_derived_cl192_366,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('409',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24413,zip_derived_cl192]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_245]) ).
thf('410',plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl1781_367,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1749_368,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl127_369,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24171,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl127]) ).
thf(zip_derived_cl28167,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1781,zip_derived_cl24171]) ).
thf('411',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28167]) ).
thf('412',plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference('sat_resolution*',[status(thm)],['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','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','208','209','210','211','212','394','214','215','216','217','218','219','220','221','222','395','224','225','226','396','228','230','231','232','397','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','256','257','258','259','260','261','398','263','265','266','267','268','269','270','271','272','273','274','275','276','277','362','278','279','280','281','282','283','284','285','286','287','288','289','290','399','292','293','295','296','298','299','300','301','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','400','328','329','330','331','401','402','334','403','336','337','338','339','340','341','342','343','344','345','346','347','404','405','350','351','352','353','354','363','355','406','357','407','359','360','408','302','255','409','294','229','326','234','297','410','411','264']) ).
thf('413',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl29036,'412']) ).
thf(zip_derived_cl24016_370,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl728,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_129]) ).
thf(zip_derived_cl3458,plain,
( ( ( h1 @ e11 )
!= e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl728]) ).
thf(zip_derived_cl24018,plain,
( ( e21 != e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24016,zip_derived_cl3458]) ).
thf('414',plain,
( ( h1 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl24018]) ).
thf(zip_derived_cl27319_371,plain,
( ( e12
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl23952]) ).
thf(zip_derived_cl380,plain,
( zip_tseitin_38
| ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference(cnf,[status(esa)],[zf_stmt_181]) ).
thf(zip_derived_cl2454,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl27328,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27319,zip_derived_cl2454]) ).
thf('415',plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e10 )
!= ( op1 @ e10 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27328]) ).
thf(zip_derived_cl1986_372,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1794_373,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl721,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e13 )
!= e21 )
| ( ( h1 @ e11 )
!= 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_129]) ).
thf(zip_derived_cl3303,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_cl721]) ).
thf(zip_derived_cl707,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28579_374,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28699,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3303,zip_derived_cl707,zip_derived_cl28579]) ).
thf(zip_derived_cl28701,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1794,zip_derived_cl28699]) ).
thf(zip_derived_cl28580_375,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28704,plain,
( ( e22
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28701,zip_derived_cl28580]) ).
thf(zip_derived_cl29150,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1986,zip_derived_cl28704]) ).
thf('416',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29150]) ).
thf(zip_derived_cl1943_376,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1751_377,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl3294,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_cl720]) ).
thf(zip_derived_cl28579_378,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28580_379,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28638,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3294,zip_derived_cl28579,zip_derived_cl28580]) ).
thf(zip_derived_cl28641,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl28638]) ).
thf(zip_derived_cl28579_380,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28645,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28641,zip_derived_cl28579]) ).
thf(zip_derived_cl28976,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1943,zip_derived_cl28645]) ).
thf('417',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28976]) ).
thf(zip_derived_cl1791_381,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24515_382,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1775,zip_derived_cl140]) ).
thf(zip_derived_cl28770,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1791,zip_derived_cl24515]) ).
thf('418',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28770]) ).
thf(zip_derived_cl1971_383,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1779_384,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl3307,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_cl721]) ).
thf(zip_derived_cl24016_385,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28579_386,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28759,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3307,zip_derived_cl24016,zip_derived_cl28579]) ).
thf(zip_derived_cl28763,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1779,zip_derived_cl28759]) ).
thf(zip_derived_cl28579_387,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28767,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28763,zip_derived_cl28579]) ).
thf(zip_derived_cl29322,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1971,zip_derived_cl28767]) ).
thf('419',plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29322]) ).
thf(zip_derived_cl3281,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_cl720]) ).
thf(zip_derived_cl23966_388,plain,
( e13
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl700]) ).
thf(zip_derived_cl23997_389,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl703]) ).
thf(zip_derived_cl707_390,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24016_391,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28424,plain,
( ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3281,zip_derived_cl23966,zip_derived_cl23997,zip_derived_cl707,zip_derived_cl24016]) ).
thf('420',plain,
( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28424]) ).
thf(zip_derived_cl3280,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_cl720]) ).
thf(zip_derived_cl700_392,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24016_393,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl707_394,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl707_395,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl703_396,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl28396,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3280,zip_derived_cl700,zip_derived_cl24016,zip_derived_cl707,zip_derived_cl707,zip_derived_cl703]) ).
thf('421',plain,
( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28396]) ).
thf(zip_derived_cl1958_397,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1766_398,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl3310,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_cl721]) ).
thf(zip_derived_cl28580_399,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28580_400,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28818,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3310,zip_derived_cl28580,zip_derived_cl28580]) ).
thf(zip_derived_cl28821,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1766,zip_derived_cl28818]) ).
thf(zip_derived_cl28580_401,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28825,plain,
( ( e22
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28821,zip_derived_cl28580]) ).
thf(zip_derived_cl29482,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1958,zip_derived_cl28825]) ).
thf('422',plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29482]) ).
thf(zip_derived_cl28580_402,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28579_403,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl3292,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_cl720]) ).
thf(zip_derived_cl23952_404,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl698]) ).
thf(zip_derived_cl707_405,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28599,plain,
( ( ( h1 @ e12 )
!= ( op2 @ ( h1 @ e13 ) @ e20 ) )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3292,zip_derived_cl23952,zip_derived_cl707]) ).
thf(zip_derived_cl28615,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28579,zip_derived_cl28599]) ).
thf(zip_derived_cl23973_406,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl28616,plain,
( ( ( h1 @ e12 )
!= e22 )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28615,zip_derived_cl23973]) ).
thf(zip_derived_cl28634,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28580,zip_derived_cl28616]) ).
thf('423',plain,
( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28634]) ).
thf(zip_derived_cl1788_407,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1776_408,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24528,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1776,zip_derived_cl111]) ).
thf(zip_derived_cl28804,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl24528]) ).
thf('424',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28804]) ).
thf(zip_derived_cl1952_409,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1760_410,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl3311,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_cl721]) ).
thf(zip_derived_cl28580_411,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28579_412,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28836,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3311,zip_derived_cl28580,zip_derived_cl28579]) ).
thf(zip_derived_cl28837,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl28836]) ).
thf(zip_derived_cl707_413,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28840,plain,
( ( e20
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28837,zip_derived_cl707]) ).
thf(zip_derived_cl29520,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1952,zip_derived_cl28840]) ).
thf('425',plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29520]) ).
thf(zip_derived_cl1980_414,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1788_415,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl3284,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_cl720]) ).
thf(zip_derived_cl24016_416,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl707_417,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28465,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3284,zip_derived_cl24016,zip_derived_cl707]) ).
thf(zip_derived_cl28466,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl28465]) ).
thf(zip_derived_cl707_418,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28469,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28466,zip_derived_cl707]) ).
thf(zip_derived_cl28719,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1980,zip_derived_cl28469]) ).
thf('426',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28719]) ).
thf(zip_derived_cl1973_419,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1781_420,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl3306,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_cl721]) ).
thf(zip_derived_cl24016_421,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28580_422,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28740,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3306,zip_derived_cl24016,zip_derived_cl28580]) ).
thf(zip_derived_cl28742,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1781,zip_derived_cl28740]) ).
thf(zip_derived_cl24016_423,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28746,plain,
( ( e21
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28742,zip_derived_cl24016]) ).
thf(zip_derived_cl29210,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl28746]) ).
thf('427',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29210]) ).
thf(zip_derived_cl1961_424,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1769_425,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl3309,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_cl721]) ).
thf(zip_derived_cl28580_426,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl24016_427,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28797,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3309,zip_derived_cl28580,zip_derived_cl24016]) ).
thf(zip_derived_cl28799,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl28797]) ).
thf(zip_derived_cl24016_428,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28802,plain,
( ( e21
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28799,zip_derived_cl24016]) ).
thf(zip_derived_cl29413,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl28802]) ).
thf('428',plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29413]) ).
thf(zip_derived_cl1967_429,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1775_430,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl3308,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_cl721]) ).
thf(zip_derived_cl28580_431,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl707_432,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28786,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3308,zip_derived_cl28580,zip_derived_cl707]) ).
thf(zip_derived_cl28788,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1775,zip_derived_cl28786]) ).
thf(zip_derived_cl28579_433,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl28791,plain,
( ( e23
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28788,zip_derived_cl28579]) ).
thf(zip_derived_cl29368,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1967,zip_derived_cl28791]) ).
thf('429',plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29368]) ).
thf(zip_derived_cl1752_434,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2387_435,plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl27596,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1752,zip_derived_cl2387]) ).
thf(zip_derived_cl23965_436,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl700]) ).
thf('430',plain,
( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27596,zip_derived_cl23965]) ).
thf(zip_derived_cl1788_437,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl337,plain,
( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_211]) ).
thf(zip_derived_cl2359,plain,
( ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) )
<= ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zip_derived_cl1752_438,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl27430,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2359,zip_derived_cl1752]) ).
thf(zip_derived_cl111_439,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl32392,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27430,zip_derived_cl111]) ).
thf(zip_derived_cl32494,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl32392]) ).
thf('431',plain,
( ( ( op1 @ e13 @ e11 )
!= ( op1 @ e11 @ e13 ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32494]) ).
thf('432',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ e11 )
= ( op1 @ e11 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zip_derived_cl1781_440,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl332,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_213]) ).
thf(zip_derived_cl2349,plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl27391,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1781,zip_derived_cl2349]) ).
thf(zip_derived_cl245,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_249]) ).
thf(zip_derived_cl2179,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf('433',plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference('sat_resolution*',[status(thm)],['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','362','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','363','355','356','357','358','359','360','361']) ).
thf(zip_derived_cl28384,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2179,'433']) ).
thf(zip_derived_cl33182,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27391,zip_derived_cl28384]) ).
thf('434',plain,
( ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33182]) ).
thf('435',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl2379_441,plain,
( ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) )
<= ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zip_derived_cl1751_442,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl27547,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= ( op1 @ e12 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2379,zip_derived_cl1751]) ).
thf(zip_derived_cl429,plain,
( zip_tseitin_54
| ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf(zip_derived_cl2585,plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
<= ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl429]) ).
thf('436',plain,
( ( op1 @ e12 @ e13 )
!= e13 ),
inference('sat_resolution*',[status(thm)],['378','379','380','208','209','210','211','212','213','215','217','218','219','220','221','222','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','244','245','246','247','248','320','321','323','358','360','381','223','382','383','384','214','216','243','385','386','393','387','388','249','250','251','252','253','254','256','257','258','259','349','260','261','354','363','357','348','273','274','275','276','277','350','352','356','359','362','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','318','319','293','294','295','322','324','325','296','361','326','297','298','299','300','301','302','303','351','304','305','306','307','353','308','309','310','327','328','330','331','311','312','313','332','333','334','335','336','338','339','341','342','343','344','346','316','329','389','255','390','262','263','264','265','355','266','267','337','268','269','270','271','272','314','340','315','345','347','317']) ).
thf(zip_derived_cl28392,plain,
( ( op1 @ e12 @ e13 )
!= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2585,'436']) ).
thf('437',plain,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e12 @ e13 ) )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27547,zip_derived_cl28392]) ).
thf(zip_derived_cl1769_443,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2367_444,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
<= ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl341]) ).
thf(zip_derived_cl27483,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1769,zip_derived_cl2367]) ).
thf(zip_derived_cl1769_445,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24438,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl134]) ).
thf('438',plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27483,zip_derived_cl24438]) ).
thf(zip_derived_cl27319_446,plain,
( ( e12
= ( op1 @ e10 @ e13 ) )
<= ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl23952]) ).
thf(zip_derived_cl1792_447,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl27322,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= ( op1 @ e10 @ e13 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27319,zip_derived_cl1792]) ).
thf(zip_derived_cl196_448,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('439',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= ( op1 @ e10 @ e13 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27322,zip_derived_cl196]) ).
thf(zip_derived_cl1988_449,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1796_450,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl3302,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_cl721]) ).
thf(zip_derived_cl707_451,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28580_452,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl28687,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3302,zip_derived_cl707,zip_derived_cl28580]) ).
thf(zip_derived_cl28688,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1796,zip_derived_cl28687]) ).
thf(zip_derived_cl707_453,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28691,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28688,zip_derived_cl707]) ).
thf(zip_derived_cl29065,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl28691]) ).
thf('440',plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29065]) ).
thf(zip_derived_cl707_454,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3296,plain,
( ( ( h1 @ e10 )
!= e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl720]) ).
thf(zip_derived_cl23766,plain,
( ( e20 != e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl3296]) ).
thf('441',plain,
( ( h1 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl23766]) ).
thf(zip_derived_cl639,plain,
( ~ zip_tseitin_108
| ( ( op2 @ e21 @ e21 )
!= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('442',plain,
( ~ zip_tseitin_109
| ~ zip_tseitin_108
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl639]) ).
thf(zip_derived_cl631,plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('443',plain,
( zip_tseitin_106
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl631]) ).
thf(zip_derived_cl1988_455,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1956_456,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25797,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1956,zip_derived_cl178]) ).
thf(zip_derived_cl29199,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl25797]) ).
thf('444',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29199]) ).
thf(zip_derived_cl1979_457,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23988_458,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28577,plain,
( e23
!= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl23988]) ).
thf(zip_derived_cl28795,plain,
( ( e23 != e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1979,zip_derived_cl28577]) ).
thf('445',plain,
( ( op2 @ e21 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28795]) ).
thf(zip_derived_cl1988_459,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1940_460,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25648,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1940,zip_derived_cl177]) ).
thf(zip_derived_cl29019,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl25648]) ).
thf('446',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29019]) ).
thf(zip_derived_cl1945_461,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1941_462,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25649,plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1941,zip_derived_cl146]) ).
thf(zip_derived_cl29025,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1945,zip_derived_cl25649]) ).
thf('447',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29025]) ).
thf(zip_derived_cl1980_463,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1964_464,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25920,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1964,zip_derived_cl188]) ).
thf(zip_derived_cl29277,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1980,zip_derived_cl25920]) ).
thf('448',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29277]) ).
thf(zip_derived_cl1989,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl703_465,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl23984,plain,
( e21
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl703]) ).
thf(zip_derived_cl28509,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1989,zip_derived_cl23984]) ).
thf('449',plain,
( ( op2 @ e20 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl28509]) ).
thf(zip_derived_cl1942_466,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23973_467,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl23975,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl23973]) ).
thf(zip_derived_cl28420,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1942,zip_derived_cl23975]) ).
thf('450',plain,
( ( op2 @ e23 @ e22 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl28420]) ).
thf(zip_derived_cl1961_468,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl580,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl2943,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl580]) ).
thf(zip_derived_cl28050,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1961,zip_derived_cl2943]) ).
thf(zip_derived_cl1961_469,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25883,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl182]) ).
thf('451',plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28050,zip_derived_cl25883]) ).
thf(zip_derived_cl593,plain,
( ( ( op2 @ e21 @ e23 )
= ( op2 @ e23 @ e21 ) )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf('452',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl593]) ).
thf(zip_derived_cl571,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf('453',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl571]) ).
thf(zip_derived_cl1971_470,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl576,plain,
( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
| ~ zip_tseitin_87 ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl2935,plain,
( ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl576]) ).
thf(zip_derived_cl28575_471,plain,
( e23
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl23988]) ).
thf(zip_derived_cl28757,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2935,zip_derived_cl28575]) ).
thf(zip_derived_cl29500,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= ( op2 @ e21 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1971,zip_derived_cl28757]) ).
thf('454',plain,
( ( ( op2 @ e23 @ e21 )
!= ( op2 @ e21 @ e23 ) )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29500]) ).
thf(zip_derived_cl559,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
| ~ zip_tseitin_81 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf(zip_derived_cl2903,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl559]) ).
thf(zip_derived_cl1971_472,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25998,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1971,zip_derived_cl159]) ).
thf(zip_derived_cl29354,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2903,zip_derived_cl25998]) ).
thf(zip_derived_cl23988_473,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl29356,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29354,zip_derived_cl23988]) ).
thf('455',plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29356]) ).
thf(zip_derived_cl1971_474,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl574,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 )
| ~ zip_tseitin_87 ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl2931,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl27980,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1971,zip_derived_cl2931]) ).
thf(zip_derived_cl1937_475,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl35240,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27980,zip_derived_cl1937]) ).
thf(zip_derived_cl199_476,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('456',plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35240,zip_derived_cl199]) ).
thf(zip_derived_cl1973_477,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2925,plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl571]) ).
thf(zip_derived_cl27951,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1973,zip_derived_cl2925]) ).
thf(zip_derived_cl484,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_119]) ).
thf(zip_derived_cl2755,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl484]) ).
thf(zip_derived_cl34535,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27951,zip_derived_cl2755]) ).
thf('457',plain,
( ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34535]) ).
thf(zip_derived_cl1978_478,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1962_479,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl182_480,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25896,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1962,zip_derived_cl182]) ).
thf(zip_derived_cl29269,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1978,zip_derived_cl25896]) ).
thf('458',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29269]) ).
thf(zip_derived_cl696,plain,
( zip_tseitin_95
| zip_tseitin_94
| zip_tseitin_93
| zip_tseitin_92
| zip_tseitin_91
| zip_tseitin_90
| zip_tseitin_89
| zip_tseitin_88
| zip_tseitin_87
| zip_tseitin_86
| zip_tseitin_85
| zip_tseitin_84
| zip_tseitin_83
| zip_tseitin_82
| zip_tseitin_81
| zip_tseitin_80 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf(zip_derived_cl3263,plain,
( zip_tseitin_80
<= zip_tseitin_80 ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl556,plain,
~ zip_tseitin_80,
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('459',plain,
~ zip_tseitin_80,
inference('s_sup-',[status(thm)],[zip_derived_cl3263,zip_derived_cl556]) ).
thf(zip_derived_cl3258,plain,
( zip_tseitin_85
<= zip_tseitin_85 ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl570,plain,
~ zip_tseitin_85,
inference(cnf,[status(esa)],[zf_stmt_85]) ).
thf('460',plain,
~ zip_tseitin_85,
inference('s_sup-',[status(thm)],[zip_derived_cl3258,zip_derived_cl570]) ).
thf(zip_derived_cl3253,plain,
( zip_tseitin_90
<= zip_tseitin_90 ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl584,plain,
~ zip_tseitin_90,
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf('461',plain,
~ zip_tseitin_90,
inference('s_sup-',[status(thm)],[zip_derived_cl3253,zip_derived_cl584]) ).
thf(zip_derived_cl3248,plain,
( zip_tseitin_95
<= zip_tseitin_95 ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl598,plain,
~ zip_tseitin_95,
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('462',plain,
~ zip_tseitin_95,
inference('s_sup-',[status(thm)],[zip_derived_cl3248,zip_derived_cl598]) ).
thf(zip_derived_cl591,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf('463',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl591]) ).
thf(zip_derived_cl573,plain,
( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf('464',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl573]) ).
thf(zip_derived_cl582,plain,
( ( ( op2 @ e21 @ e22 )
= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf('465',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl582]) ).
thf('466',plain,
( ~ zip_tseitin_81
| ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl559]) ).
thf(zip_derived_cl568,plain,
( ( ( op2 @ e20 @ e21 )
= ( op2 @ e21 @ e20 ) )
| ~ zip_tseitin_84 ),
inference(cnf,[status(esa)],[zf_stmt_87]) ).
thf('467',plain,
( ~ zip_tseitin_84
| ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl568]) ).
thf(zip_derived_cl1945_481,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2963,plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 )
<= ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl591]) ).
thf(zip_derived_cl28281,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1945,zip_derived_cl2963]) ).
thf(zip_derived_cl1945_482,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25690,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1945,zip_derived_cl181]) ).
thf('468',plain,
( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28281,zip_derived_cl25690]) ).
thf(zip_derived_cl1975_483,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2929,plain,
( ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl573]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl23988_484,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28576,plain,
( e23
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl23988]) ).
thf(zip_derived_cl28784,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2929,zip_derived_cl28576]) ).
thf(zip_derived_cl29511,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= ( op2 @ e21 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl28784]) ).
thf('469',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ e22 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29511]) ).
thf(zip_derived_cl2903_485,plain,
( ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) )
<= ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl559]) ).
thf(zip_derived_cl1967_486,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl188_487,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25949,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1967,zip_derived_cl188]) ).
thf(zip_derived_cl29284,plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2903,zip_derived_cl25949]) ).
thf(zip_derived_cl23988_488,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl29286,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= ( op2 @ e20 @ e21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29284,zip_derived_cl23988]) ).
thf('470',plain,
( ( ( op2 @ e21 @ e20 )
!= ( op2 @ e20 @ e21 ) )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29286]) ).
thf(zip_derived_cl1991,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
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_cl23988_489,plain,
( e23
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl703]) ).
thf(zip_derived_cl28574,plain,
( e23
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl23988]) ).
thf(zip_derived_cl28737,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1991,zip_derived_cl28574]) ).
thf('471',plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28737]) ).
thf(zip_derived_cl1963_490,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl28576_491,plain,
( e23
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl23988]) ).
thf(zip_derived_cl28783,plain,
( ( e23 != e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1963,zip_derived_cl28576]) ).
thf('472',plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl28783]) ).
thf(zip_derived_cl505,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_113]) ).
thf('473',plain,
( ~ zip_tseitin_71
| ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl498,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf('474',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_70 ),
inference(split,[status(esa)],[zip_derived_cl498]) ).
thf(zip_derived_cl504,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_113]) ).
thf('475',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_71 ),
inference(split,[status(esa)],[zip_derived_cl504]) ).
thf(zip_derived_cl492,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf('476',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl492]) ).
thf(zip_derived_cl486,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_119]) ).
thf('477',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl486]) ).
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('478',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl76,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('479',plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl1989_492,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1988_493,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26194,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1989,zip_derived_cl1988]) ).
thf(zip_derived_cl203_494,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('480',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26194,zip_derived_cl203]) ).
thf(zip_derived_cl493,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf('481',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf('482',plain,
( ~ zip_tseitin_87
| ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl1969_495,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1937_496,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_cl25612,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1937,zip_derived_cl169]) ).
thf(zip_derived_cl28970,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl25612]) ).
thf('483',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28970]) ).
thf(zip_derived_cl1969_497,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2931_498,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl27978,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1969,zip_derived_cl2931]) ).
thf(zip_derived_cl28575_499,plain,
( e23
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl23988]) ).
thf('484',plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27978,zip_derived_cl28575]) ).
thf('485',plain,
( zip_tseitin_92
| zip_tseitin_83
| zip_tseitin_80
| zip_tseitin_82
| zip_tseitin_89
| zip_tseitin_85
| zip_tseitin_93
| zip_tseitin_87
| zip_tseitin_88
| zip_tseitin_86
| zip_tseitin_90
| zip_tseitin_81
| zip_tseitin_94
| zip_tseitin_91
| zip_tseitin_84
| zip_tseitin_95 ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl562,plain,
( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
| ~ zip_tseitin_82 ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf('486',plain,
( ~ zip_tseitin_82
| ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl562]) ).
thf(zip_derived_cl579,plain,
( ( ( op2 @ e20 @ e22 )
= ( op2 @ e22 @ e20 ) )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf('487',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl579]) ).
thf(zip_derived_cl587,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_73]) ).
thf('488',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl587]) ).
thf(zip_derived_cl596,plain,
( ( ( op2 @ e22 @ e23 )
= ( op2 @ e23 @ e22 ) )
| ~ zip_tseitin_94 ),
inference(cnf,[status(esa)],[zf_stmt_67]) ).
thf('489',plain,
( ~ zip_tseitin_94
| ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl596]) ).
thf(zip_derived_cl1990_500,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2909,plain,
( ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl562]) ).
thf(zip_derived_cl23977_501,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl23973]) ).
thf(zip_derived_cl28449,plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2909,zip_derived_cl23977]) ).
thf(zip_derived_cl29476,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= ( op2 @ e20 @ e22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1990,zip_derived_cl28449]) ).
thf('490',plain,
( ( ( op2 @ e22 @ e20 )
!= ( op2 @ e20 @ e22 ) )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29476]) ).
thf(zip_derived_cl1954_502,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2955,plain,
( ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl587]) ).
thf(zip_derived_cl23975_503,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl23973]) ).
thf(zip_derived_cl28422,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2955,zip_derived_cl23975]) ).
thf(zip_derived_cl29461,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= ( op2 @ e22 @ e23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1954,zip_derived_cl28422]) ).
thf('491',plain,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e22 @ e23 ) )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29461]) ).
thf(zip_derived_cl590,plain,
( ( ( op2 @ e20 @ e23 )
= ( op2 @ e23 @ e20 ) )
| ~ zip_tseitin_92 ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf('492',plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
| ~ zip_tseitin_92 ),
inference(split,[status(esa)],[zip_derived_cl590]) ).
thf(zip_derived_cl563,plain,
( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf('493',plain,
( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
| ~ zip_tseitin_83 ),
inference(split,[status(esa)],[zip_derived_cl563]) ).
thf(zip_derived_cl1988_504,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1984_505,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
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_cl26135,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1984,zip_derived_cl162]) ).
thf(zip_derived_cl29403,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl26135]) ).
thf('494',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29403]) ).
thf(zip_derived_cl1984_506,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1968_507,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173_508,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25966,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1968,zip_derived_cl173]) ).
thf(zip_derived_cl29307,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1984,zip_derived_cl25966]) ).
thf('495',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29307]) ).
thf(zip_derived_cl1984_509,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1936_510,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25600,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1936,zip_derived_cl171]) ).
thf(zip_derived_cl28950,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1984,zip_derived_cl25600]) ).
thf('496',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28950]) ).
thf(zip_derived_cl565,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf(zip_derived_cl2915,plain,
( ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl565]) ).
thf(zip_derived_cl23973_511,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl27878,plain,
( ( e22
= ( op2 @ e20 @ e23 ) )
<= ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2915,zip_derived_cl23973]) ).
thf(zip_derived_cl1984_512,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl27881,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= ( op2 @ e20 @ e23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27878,zip_derived_cl1984]) ).
thf(zip_derived_cl202_513,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('497',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27881,zip_derived_cl202]) ).
thf(zip_derived_cl1984_514,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2911,plain,
( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
<= ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl563]) ).
thf(zip_derived_cl27867,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1984,zip_derived_cl2911]) ).
thf(zip_derived_cl23973_515,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl701]) ).
thf(zip_derived_cl27871,plain,
( ( e22 = e23 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27867,zip_derived_cl23973]) ).
thf(zip_derived_cl198_516,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('498',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27871,zip_derived_cl198]) ).
thf('499',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl580]) ).
thf(zip_derived_cl1988_517,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1972_518,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
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_cl26011,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1972,zip_derived_cl179]) ).
thf(zip_derived_cl29372,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl26011]) ).
thf('500',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29372]) ).
thf('501',plain,
( zip_tseitin_112
| ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl647]) ).
thf('502',plain,
( ~ zip_tseitin_122
| ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl681]) ).
thf('503',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf('504',plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('505',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf('506',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_123 ),
inference(split,[status(esa)],[zip_derived_cl682]) ).
thf('507',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf('508',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf('509',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25637,zip_derived_cl199]) ).
thf('510',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26156,zip_derived_cl202]) ).
thf('511',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25835,zip_derived_cl200]) ).
thf('512',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('513',plain,
( ~ zip_tseitin_115
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl658]) ).
thf('514',plain,
( ~ zip_tseitin_115
| ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf('515',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('516',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25673,zip_derived_cl201]) ).
thf('517',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf('518',plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('519',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25653,zip_derived_cl203]) ).
thf('520',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25785,zip_derived_cl199]) ).
thf('521',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25767,zip_derived_cl202]) ).
thf('522',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25786,zip_derived_cl198]) ).
thf('523',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('524',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf('525',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25817,zip_derived_cl203]) ).
thf('526',plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf('527',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25899,zip_derived_cl200]) ).
thf('528',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf('529',plain,
( zip_tseitin_123
| zip_tseitin_99
| zip_tseitin_125
| zip_tseitin_103
| zip_tseitin_117
| zip_tseitin_101
| zip_tseitin_97
| zip_tseitin_105
| zip_tseitin_127
| zip_tseitin_119
| zip_tseitin_115
| zip_tseitin_109
| zip_tseitin_111
| zip_tseitin_107
| zip_tseitin_121
| zip_tseitin_113 ),
inference(split,[status(esa)],[zip_derived_cl695]) ).
thf('530',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26001,zip_derived_cl199]) ).
thf('531',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25692,zip_derived_cl203]) ).
thf('532',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf('533',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf('534',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25989,zip_derived_cl202]) ).
thf('535',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26002,zip_derived_cl198]) ).
thf('536',plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_70 ),
inference(split,[status(esa)],[zip_derived_cl500]) ).
thf('537',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26205,zip_derived_cl202]) ).
thf('538',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_70 ),
inference(split,[status(esa)],[zip_derived_cl496]) ).
thf('539',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf('540',plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf('541',plain,
( ~ zip_tseitin_71
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf('542',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29343]) ).
thf(zip_derived_cl1973_519,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1969_520,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl156,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25975,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl156]) ).
thf(zip_derived_cl29312,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl25975]) ).
thf('543',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29312]) ).
thf('544',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25979,zip_derived_cl203]) ).
thf(zip_derived_cl545,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf('545',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl545]) ).
thf('546',plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('547',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26042,zip_derived_cl199]) ).
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('548',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl1943_521,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1939_522,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_cl25630,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1939,zip_derived_cl144]) ).
thf(zip_derived_cl28987,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1943,zip_derived_cl25630]) ).
thf('549',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28987]) ).
thf(zip_derived_cl1968_523,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1936_524,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169_525,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25599,plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1936,zip_derived_cl169]) ).
thf(zip_derived_cl28945,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1968,zip_derived_cl25599]) ).
thf('550',plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28945]) ).
thf(zip_derived_cl636,plain,
( zip_tseitin_108
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('551',plain,
( zip_tseitin_108
| ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl636]) ).
thf('552',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1971_526,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1955_527,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25782,plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1955,zip_derived_cl170]) ).
thf(zip_derived_cl29179,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1971,zip_derived_cl25782]) ).
thf('553',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29179]) ).
thf('554',plain,
( zip_tseitin_70
| zip_tseitin_78
| zip_tseitin_76
| zip_tseitin_67
| zip_tseitin_75
| zip_tseitin_77
| zip_tseitin_71
| zip_tseitin_73
| zip_tseitin_64
| zip_tseitin_65
| zip_tseitin_74
| zip_tseitin_66
| zip_tseitin_68
| zip_tseitin_72
| zip_tseitin_69
| zip_tseitin_79 ),
inference(split,[status(esa)],[zip_derived_cl697]) ).
thf(zip_derived_cl499,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf('555',plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
| ~ zip_tseitin_70 ),
inference(split,[status(esa)],[zip_derived_cl499]) ).
thf(zip_derived_cl1961_528,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1960_529,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl25885,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1961,zip_derived_cl1960]) ).
thf(zip_derived_cl203_530,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('556',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25885,zip_derived_cl203]) ).
thf('557',plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1944_531,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1752_532,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl3293,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_cl720]) ).
thf(zip_derived_cl28579_533,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl23997,zip_derived_cl23988]) ).
thf(zip_derived_cl24016_534,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl703]) ).
thf(zip_derived_cl28617,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3293,zip_derived_cl28579,zip_derived_cl24016]) ).
thf(zip_derived_cl28620,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl28617]) ).
thf(zip_derived_cl707_535,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl28624,plain,
( ( e20
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28620,zip_derived_cl707]) ).
thf(zip_derived_cl28809,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1944,zip_derived_cl28624]) ).
thf('558',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28809]) ).
thf(zip_derived_cl760,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_129]) ).
thf('559',plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl760]) ).
thf('560',plain,
( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ),
inference('sat_resolution*',[status(thm)],['173','174','175','176','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','434','435','437','373','375','376','410','391','411','392','438','439','440','441','377','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','409','205','206','374','378','379','208','209','210','212','394','215','217','218','219','220','221','222','224','225','226','396','228','229','230','231','232','397','235','236','237','238','239','240','241','242','244','245','246','247','248','320','321','323','407','360','395','382','383','384','214','216','243','385','386','393','387','388','249','250','251','252','253','254','256','257','258','259','405','260','261','354','363','357','404','273','274','275','276','277','352','406','359','362','278','279','280','281','282','283','284','285','286','287','288','289','290','399','292','318','319','293','294','295','322','324','325','296','408','326','298','299','300','301','302','303','351','304','305','306','307','353','308','400','328','330','331','311','312','313','401','402','334','403','336','338','339','341','342','343','344','346','316','329','389','255','390','398','263','264','265','266','267','337','268','269','270','271','272','314','340','315','345','347','317','207','365','366','355','367','368','211','380','369','370','309','310','234','371','372','381','297','350','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','0','1','2','3','4','5','501','502','8','11','12','13','14','15','16','17','18','19','20','503','22','24','504','26','27','28','29','505','32','33','34','35','36','506','38','39','507','508','42','43','509','510','46','511','48','49','512','51','52','53','54','55','56','513','514','59','60','515','62','516','64','517','518','67','68','519','520','71','72','73','74','75','521','77','522','79','80','523','82','524','84','85','525','87','526','527','90','91','92','93','94','95','96','98','99','100','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','528','120','529','530','531','125','126','532','533','130','131','132','534','535','135','536','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','537','538','157','539','159','540','162','163','164','165','541','542','168','169','170','171','101','543','544','545','546','547','548','549','160','550','9','551','552','553','23','554','555','556','557','558','559']) ).
thf(zip_derived_cl36523,plain,
( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl36522,'560']) ).
thf(zip_derived_cl1786_536,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf('561',plain,
( ( op1 @ e11 @ e11 )
= e12 ),
inference('sat_resolution*',[status(thm)],['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','363','355','356','357','358','359','360','361','362']) ).
thf(zip_derived_cl28383,plain,
( ( op1 @ e11 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1786,'561']) ).
thf(zip_derived_cl28580_537,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24007,zip_derived_cl23988,zip_derived_cl23973]) ).
thf(zip_derived_cl49972,plain,
( e22
!= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl36523,zip_derived_cl28383,zip_derived_cl28580]) ).
thf(zip_derived_cl50223,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35660,zip_derived_cl49972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG109+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YxyVKIG2lj true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Aug 28 03:22:00 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.14/0.47 % Total configuration time : 435
% 0.14/0.47 % Estimated wc time : 1092
% 0.14/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 71.83/10.78 % Solved by fo/fo1_av.sh.
% 71.83/10.78 % done 26994 iterations in 10.030s
% 71.83/10.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 71.83/10.78 % SZS output start Refutation
% See solution above
% 72.38/10.82
% 72.38/10.82
% 72.38/10.82 % Terminating...
% 73.09/10.95 % Runner terminated.
% 73.09/10.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------