%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG129+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0X15lzGY1O true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:48 PM UTC 2025
% Result : Theorem 35.89s 6.99s
% Output : Refutation 35.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 152
% Syntax : Number of formulae : 2187 ( 429 unt; 0 typ; 0 def)
% Number of atoms : 6725 (5667 equ; 0 cnn)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 19391 (2388 ~;2226 |;1424 &;12465 @)
% ( 0 <=>; 136 =>; 752 <=; 0 <~>)
% Maximal formula depth : 69 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 150 usr; 145 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(zip_tseitin_130_type,type,
zip_tseitin_130: $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_131_type,type,
zip_tseitin_131: $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_129_type,type,
zip_tseitin_129: $o ).
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_134_type,type,
zip_tseitin_134: $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_128_type,type,
zip_tseitin_128: $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_135_type,type,
zip_tseitin_135: $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_132_type,type,
zip_tseitin_132: $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_133_type,type,
zip_tseitin_133: $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(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_0,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_cl822,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_0]) ).
thf(zip_derived_cl3527,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_cl822]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e10 )
= e20 ) ) ).
thf(zip_derived_cl809,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl808,plain,
( ( h1 @ e11 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e20 @ e20 ) )
& ( e22
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
& ( e21
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zip_derived_cl803,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl803_001,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl805,plain,
( e21
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl803_002,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl803_003,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24303,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl24330,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl29756,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3527,zip_derived_cl809,zip_derived_cl24330]) ).
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_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_cl1903,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
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_cl1888,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
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_cl1872,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24751,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl134]) ).
thf(zip_derived_cl28749,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1888,zip_derived_cl24751]) ).
thf('0',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28749]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e10 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e10 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_18
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl294,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('1',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_18 ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
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_cl1891,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1875,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24787,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1875,zip_derived_cl140]) ).
thf(zip_derived_cl28780,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1891,zip_derived_cl24787]) ).
thf('2',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28780]) ).
thf(zip_derived_cl1889,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
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_cl1857,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
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_cl24571,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1857,zip_derived_cl133]) ).
thf(zip_derived_cl28554,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1889,zip_derived_cl24571]) ).
thf('3',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28554]) ).
thf(zip_derived_cl1874,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
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_cl1866,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl106,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24671,plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl106]) ).
thf(zip_derived_cl28660,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl24671]) ).
thf('4',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28660]) ).
thf('5',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
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_cl1896,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1895,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl25063,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1896,zip_derived_cl1895]) ).
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('6',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25063,zip_derived_cl194]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_57
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl448,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('7',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_57 ),
inference(split,[status(esa)],[zip_derived_cl448]) ).
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_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1875_004,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1871,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24736,plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1871,zip_derived_cl107]) ).
thf(zip_derived_cl28739,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1875,zip_derived_cl24736]) ).
thf('9',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28739]) ).
thf(zip_derived_cl1890,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1886,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24938,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1886,zip_derived_cl113]) ).
thf(zip_derived_cl28951,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1890,zip_derived_cl24938]) ).
thf('10',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28951]) ).
thf('11',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
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('12',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_24
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl319,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('13',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_56
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl444,plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('14',plain,
( ~ zip_tseitin_56
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl444]) ).
thf(zip_derived_cl447,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('15',plain,
( ~ zip_tseitin_56
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl447]) ).
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_cl1901,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1899,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl25134,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1901,zip_derived_cl1899]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('16',plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25134,zip_derived_cl193]) ).
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_cl1885,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1883,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24927,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1885,zip_derived_cl1883]) ).
thf(zip_derived_cl193_005,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('17',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24927,zip_derived_cl193]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_67
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl502,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_67 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('18',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_67 ),
inference(split,[status(esa)],[zip_derived_cl502]) ).
thf(zf_stmt_6,type,
zip_tseitin_67: $o ).
thf(zf_stmt_7,type,
zip_tseitin_66: $o ).
thf(zf_stmt_8,axiom,
( zip_tseitin_66
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e13 ) )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_65: $o ).
thf(zf_stmt_10,axiom,
( zip_tseitin_65
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e13 ) )
= e13 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_64: $o ).
thf(zf_stmt_12,axiom,
( zip_tseitin_64
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e13 ) )
= e13 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_63: $o ).
thf(zf_stmt_14,axiom,
( zip_tseitin_63
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_62: $o ).
thf(zf_stmt_16,axiom,
( zip_tseitin_62
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_61: $o ).
thf(zf_stmt_18,axiom,
( zip_tseitin_61
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_60: $o ).
thf(zf_stmt_20,axiom,
( zip_tseitin_60
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_21,type,
zip_tseitin_59: $o ).
thf(zf_stmt_22,axiom,
( zip_tseitin_59
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_23,type,
zip_tseitin_58: $o ).
thf(zf_stmt_24,axiom,
( zip_tseitin_58
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_25,type,
zip_tseitin_57: $o ).
thf(zf_stmt_26,type,
zip_tseitin_56: $o ).
thf(zf_stmt_27,type,
zip_tseitin_55: $o ).
thf(zf_stmt_28,axiom,
( zip_tseitin_55
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_29,type,
zip_tseitin_54: $o ).
thf(zf_stmt_30,axiom,
( zip_tseitin_54
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_31,type,
zip_tseitin_53: $o ).
thf(zf_stmt_32,axiom,
( zip_tseitin_53
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_33,type,
zip_tseitin_52: $o ).
thf(zf_stmt_34,axiom,
( zip_tseitin_52
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_35,type,
zip_tseitin_51: $o ).
thf(zf_stmt_36,axiom,
( zip_tseitin_51
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_37,type,
zip_tseitin_50: $o ).
thf(zf_stmt_38,axiom,
( zip_tseitin_50
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_39,type,
zip_tseitin_49: $o ).
thf(zf_stmt_40,axiom,
( zip_tseitin_49
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_41,type,
zip_tseitin_48: $o ).
thf(zf_stmt_42,axiom,
( zip_tseitin_48
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_43,type,
zip_tseitin_47: $o ).
thf(zf_stmt_44,axiom,
( zip_tseitin_47
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_45,type,
zip_tseitin_46: $o ).
thf(zf_stmt_46,axiom,
( zip_tseitin_46
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_47,type,
zip_tseitin_45: $o ).
thf(zf_stmt_48,axiom,
( zip_tseitin_45
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_49,type,
zip_tseitin_44: $o ).
thf(zf_stmt_50,axiom,
( zip_tseitin_44
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_51,type,
zip_tseitin_43: $o ).
thf(zf_stmt_52,axiom,
( zip_tseitin_43
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_53,type,
zip_tseitin_42: $o ).
thf(zf_stmt_54,axiom,
( zip_tseitin_42
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_55,type,
zip_tseitin_41: $o ).
thf(zf_stmt_56,axiom,
( zip_tseitin_41
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_57,type,
zip_tseitin_40: $o ).
thf(zf_stmt_58,axiom,
( zip_tseitin_40
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_59,type,
zip_tseitin_39: $o ).
thf(zf_stmt_60,axiom,
( zip_tseitin_39
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_61,type,
zip_tseitin_38: $o ).
thf(zf_stmt_62,axiom,
( zip_tseitin_38
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_63,type,
zip_tseitin_37: $o ).
thf(zf_stmt_64,axiom,
( zip_tseitin_37
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_65,type,
zip_tseitin_36: $o ).
thf(zf_stmt_66,axiom,
( zip_tseitin_36
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_67,type,
zip_tseitin_35: $o ).
thf(zf_stmt_68,axiom,
( zip_tseitin_35
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_69,type,
zip_tseitin_34: $o ).
thf(zf_stmt_70,axiom,
( zip_tseitin_34
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_71,type,
zip_tseitin_33: $o ).
thf(zf_stmt_72,axiom,
( zip_tseitin_33
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_73,type,
zip_tseitin_32: $o ).
thf(zf_stmt_74,axiom,
( zip_tseitin_32
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_75,type,
zip_tseitin_31: $o ).
thf(zf_stmt_76,axiom,
( zip_tseitin_31
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_77,type,
zip_tseitin_30: $o ).
thf(zf_stmt_78,axiom,
( zip_tseitin_30
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_79,type,
zip_tseitin_29: $o ).
thf(zf_stmt_80,axiom,
( zip_tseitin_29
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_81,type,
zip_tseitin_28: $o ).
thf(zf_stmt_82,axiom,
( zip_tseitin_28
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_83,type,
zip_tseitin_27: $o ).
thf(zf_stmt_84,axiom,
( zip_tseitin_27
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_85,type,
zip_tseitin_26: $o ).
thf(zf_stmt_86,axiom,
( zip_tseitin_26
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_87,type,
zip_tseitin_25: $o ).
thf(zf_stmt_88,axiom,
( zip_tseitin_25
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_89,type,
zip_tseitin_24: $o ).
thf(zf_stmt_90,type,
zip_tseitin_23: $o ).
thf(zf_stmt_91,axiom,
( zip_tseitin_23
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_92,type,
zip_tseitin_22: $o ).
thf(zf_stmt_93,axiom,
( zip_tseitin_22
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_94,type,
zip_tseitin_21: $o ).
thf(zf_stmt_95,axiom,
( zip_tseitin_21
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_96,type,
zip_tseitin_20: $o ).
thf(zf_stmt_97,axiom,
( zip_tseitin_20
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_98,type,
zip_tseitin_19: $o ).
thf(zf_stmt_99,axiom,
( zip_tseitin_19
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_100,type,
zip_tseitin_18: $o ).
thf(zf_stmt_101,type,
zip_tseitin_17: $o ).
thf(zf_stmt_102,axiom,
( zip_tseitin_17
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_103,type,
zip_tseitin_16: $o ).
thf(zf_stmt_104,axiom,
( zip_tseitin_16
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_105,type,
zip_tseitin_15: $o ).
thf(zf_stmt_106,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_107,type,
zip_tseitin_14: $o ).
thf(zf_stmt_108,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_109,type,
zip_tseitin_13: $o ).
thf(zf_stmt_110,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_111,type,
zip_tseitin_12: $o ).
thf(zf_stmt_112,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_113,type,
zip_tseitin_11: $o ).
thf(zf_stmt_114,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_115,type,
zip_tseitin_10: $o ).
thf(zf_stmt_116,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_117,type,
zip_tseitin_9: $o ).
thf(zf_stmt_118,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_119,type,
zip_tseitin_8: $o ).
thf(zf_stmt_120,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_121,type,
zip_tseitin_7: $o ).
thf(zf_stmt_122,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_123,type,
zip_tseitin_6: $o ).
thf(zf_stmt_124,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_125,type,
zip_tseitin_5: $o ).
thf(zf_stmt_126,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_127,type,
zip_tseitin_4: $o ).
thf(zf_stmt_128,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_129,type,
zip_tseitin_3: $o ).
thf(zf_stmt_130,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_131,type,
zip_tseitin_2: $o ).
thf(zf_stmt_132,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_133,type,
zip_tseitin_1: $o ).
thf(zf_stmt_134,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_135,type,
zip_tseitin_0: $o ).
thf(zf_stmt_136,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_137,axiom,
( ( zip_tseitin_67
| zip_tseitin_66
| zip_tseitin_65
| zip_tseitin_64 )
& ( zip_tseitin_63
| zip_tseitin_62
| zip_tseitin_61
| zip_tseitin_60
| zip_tseitin_59
| zip_tseitin_58
| zip_tseitin_57
| zip_tseitin_56
| zip_tseitin_55
| zip_tseitin_54
| zip_tseitin_53
| zip_tseitin_52
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_49
| zip_tseitin_48
| zip_tseitin_47
| zip_tseitin_46
| zip_tseitin_45
| zip_tseitin_44
| zip_tseitin_43
| zip_tseitin_42
| zip_tseitin_41
| zip_tseitin_40
| zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36
| zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32
| 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_cl508,plain,
( zip_tseitin_67
| zip_tseitin_66
| zip_tseitin_65
| zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_137]) ).
thf('19',plain,
( zip_tseitin_67
| zip_tseitin_64
| zip_tseitin_65
| zip_tseitin_66 ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl497,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('20',plain,
( ~ zip_tseitin_66
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl497]) ).
thf(zip_derived_cl1902,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1854,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24534,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1854,zip_derived_cl135]) ).
thf(zip_derived_cl28514,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1902,zip_derived_cl24534]) ).
thf('21',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28514]) ).
thf(zip_derived_cl1866_006,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2787,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
<= ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl497]) ).
thf(zip_derived_cl29061,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1866,zip_derived_cl2787]) ).
thf(zip_derived_cl228,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_132]) ).
thf(zip_derived_cl2247,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
<= ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('22',plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e10 @ e10 ) )
& ( e12
= ( op1 @ ( op1 @ e10 @ e10 ) @ e10 ) )
& ( e11
= ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zip_derived_cl801,plain,
( e12
= ( op1 @ ( op1 @ e10 @ e10 ) @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl800,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24269,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl800]) ).
thf(zip_derived_cl3,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1859,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24595,plain,
( ( e12 = e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24269,zip_derived_cl1859]) ).
thf(zip_derived_cl194_007,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('23',plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24595,zip_derived_cl194]) ).
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_cl1907,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl800_008,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25215,plain,
( ( e13 = e11 )
<= ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1907,zip_derived_cl800]) ).
thf(zip_derived_cl193_009,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('24',plain,
( ( op1 @ e10 @ e10 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25215,zip_derived_cl193]) ).
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('25',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_cl24269_010,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl800]) ).
thf(zip_derived_cl1858,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24587,plain,
( ( e12 = e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24269,zip_derived_cl1858]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('26',plain,
( ( op1 @ e13 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24587,zip_derived_cl196]) ).
thf(zip_derived_cl1906,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl800_011,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25198,plain,
( ( e13 = e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1906,zip_derived_cl800]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('27',plain,
( ( op1 @ e10 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25198,zip_derived_cl195]) ).
thf(zip_derived_cl1876,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1875_012,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24801,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl1875]) ).
thf(zip_derived_cl194_013,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('28',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24801,zip_derived_cl194]) ).
thf(zip_derived_cl1876_014,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1874_015,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24800,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl1874]) ).
thf(zip_derived_cl196_016,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('29',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24800,zip_derived_cl196]) ).
thf(zip_derived_cl1891_017,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1890_018,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24999,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1891,zip_derived_cl1890]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('30',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24999,zip_derived_cl197]) ).
thf('31',plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference('sat_resolution*',[status(thm)],['22','23','24','25','26','27','28','29','30']) ).
thf(zip_derived_cl28057,plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2247,'31']) ).
thf('32',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29061,zip_derived_cl28057]) ).
thf(zip_derived_cl477,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('33',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ~ zip_tseitin_64
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl477]) ).
thf(zip_derived_cl484,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('34',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl484]) ).
thf(zip_derived_cl1872_019,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl1864,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24643,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl103]) ).
thf(zip_derived_cl28619,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl24643]) ).
thf('35',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28619]) ).
thf(zip_derived_cl241,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_126]) ).
thf('36',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl305,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('37',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl371,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('38',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl371]) ).
thf(zip_derived_cl1871_020,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1870,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24739,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1871,zip_derived_cl1870]) ).
thf(zip_derived_cl197_021,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('39',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24739,zip_derived_cl197]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('40',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl402,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('41',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl402]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('42',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl1857_022,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1855,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24574,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1855]) ).
thf(zip_derived_cl193_023,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('43',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24574,zip_derived_cl193]) ).
thf(zip_derived_cl1883_024,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1882,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24896,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1883,zip_derived_cl1882]) ).
thf(zip_derived_cl197_025,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('44',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24896,zip_derived_cl197]) ).
thf(zip_derived_cl1869,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1866_026,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24716,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1866]) ).
thf(zip_derived_cl195_027,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('45',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24716,zip_derived_cl195]) ).
thf(zip_derived_cl244,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('46',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
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('47',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl1895_028,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1894,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl25049,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1895,zip_derived_cl1894]) ).
thf(zip_derived_cl197_029,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('48',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25049,zip_derived_cl197]) ).
thf(zip_derived_cl1905,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1904,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25186,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1905,zip_derived_cl1904]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('49',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25186,zip_derived_cl192]) ).
thf(zip_derived_cl1905_030,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1903_031,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25185,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1905,zip_derived_cl1903]) ).
thf(zip_derived_cl193_032,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('50',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25185,zip_derived_cl193]) ).
thf(zip_derived_cl1905_033,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1902_034,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25184,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1905,zip_derived_cl1902]) ).
thf(zip_derived_cl195_035,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('51',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25184,zip_derived_cl195]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('52',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1884,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1883_036,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24912,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1884,zip_derived_cl1883]) ).
thf(zip_derived_cl194_037,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('53',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24912,zip_derived_cl194]) ).
thf(zip_derived_cl376,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf('54',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zip_derived_cl378,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf('55',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl378]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_116]) ).
thf('56',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl325,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf('57',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl251,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_122]) ).
thf('58',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf('59',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf('60',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl254,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_120]) ).
thf('61',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl253,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_120]) ).
thf('62',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl253]) ).
thf(zip_derived_cl322,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_88]) ).
thf('63',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl322]) ).
thf(zip_derived_cl321,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_88]) ).
thf('64',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl321]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_136]) ).
thf('65',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_136]) ).
thf('66',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl220]) ).
thf(zip_derived_cl365,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('67',plain,
( ~ zip_tseitin_36
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl445,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('68',plain,
( ~ zip_tseitin_56
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl445]) ).
thf(zip_derived_cl265,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_114]) ).
thf('69',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl317,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('70',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl278,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_108]) ).
thf('71',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl278]) ).
thf('72',plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_110]) ).
thf('73',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl270,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_112]) ).
thf('74',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl270]) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_112]) ).
thf('75',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
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('76',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1888_038,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1886_039,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24964,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1888,zip_derived_cl1886]) ).
thf(zip_derived_cl196_040,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('77',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24964,zip_derived_cl196]) ).
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_cl1853,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1851,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24520,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1851]) ).
thf(zip_derived_cl193_041,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('78',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24520,zip_derived_cl193]) ).
thf(zip_derived_cl1851_042,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1850,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24495,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1851,zip_derived_cl1850]) ).
thf(zip_derived_cl197_043,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('79',plain,
( ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24495,zip_derived_cl197]) ).
thf(zip_derived_cl1899_044,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1898,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl25104,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1899,zip_derived_cl1898]) ).
thf(zip_derived_cl197_045,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('80',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25104,zip_derived_cl197]) ).
thf(zip_derived_cl256,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_118]) ).
thf('81',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
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('82',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_118]) ).
thf('83',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zip_derived_cl259,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_118]) ).
thf('84',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl259]) ).
thf('85',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24800,zip_derived_cl196]) ).
thf(zip_derived_cl355,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_72]) ).
thf('86',plain,
( ~ zip_tseitin_33
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf('87',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl285,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_104]) ).
thf('88',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_104]) ).
thf('89',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_102]) ).
thf('90',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl289,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_102]) ).
thf('91',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zip_derived_cl297,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf('92',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_130]) ).
thf('93',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_132]) ).
thf('94',plain,
( ~ zip_tseitin_2
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_134]) ).
thf('95',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl227]) ).
thf(zip_derived_cl315,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf('96',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl315]) ).
thf(zip_derived_cl314,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf('97',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl314]) ).
thf(zip_derived_cl301,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf('98',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl301]) ).
thf(zip_derived_cl329,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_84]) ).
thf('99',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf(zip_derived_cl338,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf('100',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl338]) ).
thf(zip_derived_cl337,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf('101',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zip_derived_cl345,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf('102',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl332,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('103',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl335,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf('104',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl335]) ).
thf(zip_derived_cl358,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf('105',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl357,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf('106',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl357]) ).
thf(zip_derived_cl361,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_68]) ).
thf('107',plain,
( ~ zip_tseitin_35
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
thf(zip_derived_cl374,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf('108',plain,
( ~ zip_tseitin_38
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl374]) ).
thf(zip_derived_cl373,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf('109',plain,
( ~ zip_tseitin_38
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl349,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_74]) ).
thf('110',plain,
( ~ zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl389,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('111',plain,
( ~ zip_tseitin_42
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl388,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('112',plain,
( ~ zip_tseitin_42
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl395,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('113',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl395]) ).
thf(zip_derived_cl394,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('114',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zip_derived_cl406,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('115',plain,
( ~ zip_tseitin_46
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl406]) ).
thf(zip_derived_cl405,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('116',plain,
( ~ zip_tseitin_46
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl405]) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_126]) ).
thf('117',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zip_derived_cl304,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf('118',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zip_derived_cl509,plain,
( zip_tseitin_63
| zip_tseitin_62
| zip_tseitin_61
| zip_tseitin_60
| zip_tseitin_59
| zip_tseitin_58
| zip_tseitin_57
| zip_tseitin_56
| zip_tseitin_55
| zip_tseitin_54
| zip_tseitin_53
| zip_tseitin_52
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_49
| zip_tseitin_48
| zip_tseitin_47
| zip_tseitin_46
| zip_tseitin_45
| zip_tseitin_44
| zip_tseitin_43
| zip_tseitin_42
| zip_tseitin_41
| zip_tseitin_40
| zip_tseitin_39
| zip_tseitin_38
| zip_tseitin_37
| zip_tseitin_36
| zip_tseitin_35
| zip_tseitin_34
| zip_tseitin_33
| zip_tseitin_32
| 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 ),
inference(cnf,[status(esa)],[zf_stmt_137]) ).
thf('119',plain,
( zip_tseitin_57
| zip_tseitin_7
| zip_tseitin_4
| zip_tseitin_8
| zip_tseitin_25
| zip_tseitin_0
| zip_tseitin_36
| zip_tseitin_56
| zip_tseitin_11
| zip_tseitin_24
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_9
| zip_tseitin_33
| zip_tseitin_15
| zip_tseitin_16
| zip_tseitin_17
| zip_tseitin_21
| zip_tseitin_19
| zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_23
| zip_tseitin_5
| zip_tseitin_20
| zip_tseitin_39
| zip_tseitin_27
| zip_tseitin_10
| zip_tseitin_29
| zip_tseitin_45
| zip_tseitin_31
| zip_tseitin_28
| zip_tseitin_18
| zip_tseitin_34
| zip_tseitin_35
| zip_tseitin_22
| zip_tseitin_37
| zip_tseitin_38
| zip_tseitin_30
| zip_tseitin_32
| zip_tseitin_6
| zip_tseitin_42
| zip_tseitin_43
| zip_tseitin_44
| zip_tseitin_26
| zip_tseitin_46
| zip_tseitin_41
| zip_tseitin_48
| zip_tseitin_40
| zip_tseitin_47
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_53
| zip_tseitin_49
| zip_tseitin_55
| zip_tseitin_52
| zip_tseitin_54
| zip_tseitin_58
| zip_tseitin_59
| zip_tseitin_60
| zip_tseitin_61
| zip_tseitin_62
| zip_tseitin_63 ),
inference(split,[status(esa)],[zip_derived_cl509]) ).
thf(zip_derived_cl379,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf('120',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl379]) ).
thf(zip_derived_cl1863,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1862,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24635,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1863,zip_derived_cl1862]) ).
thf(zip_derived_cl197_046,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('121',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24635,zip_derived_cl197]) ).
thf(zip_derived_cl1865,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1863_047,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24662,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1863]) ).
thf(zip_derived_cl193_048,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('122',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24662,zip_derived_cl193]) ).
thf(zip_derived_cl1872_049,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1871_050,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24754,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1872,zip_derived_cl1871]) ).
thf(zip_derived_cl194_051,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('123',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24754,zip_derived_cl194]) ).
thf(zip_derived_cl1872_052,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1870_053,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24753,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1872,zip_derived_cl1870]) ).
thf(zip_derived_cl196_054,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('124',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24753,zip_derived_cl196]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('125',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl1884_055,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1882_056,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24911,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1884,zip_derived_cl1882]) ).
thf(zip_derived_cl196_057,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('126',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24911,zip_derived_cl196]) ).
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('127',plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1885_058,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1882_059,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24926,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1885,zip_derived_cl1882]) ).
thf(zip_derived_cl195_060,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('128',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24926,zip_derived_cl195]) ).
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_cl1880,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1878,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24852,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1880,zip_derived_cl1878]) ).
thf(zip_derived_cl196_061,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('129',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24852,zip_derived_cl196]) ).
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('130',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1892,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1891_062,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl25010,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1892,zip_derived_cl1891]) ).
thf(zip_derived_cl194_063,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('131',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25010,zip_derived_cl194]) ).
thf(zip_derived_cl1881,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1880_064,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24869,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1880]) ).
thf(zip_derived_cl192_065,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('132',plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24869,zip_derived_cl192]) ).
thf(zip_derived_cl401,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('133',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(zip_derived_cl385,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('134',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl449,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('135',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_57 ),
inference(split,[status(esa)],[zip_derived_cl449]) ).
thf(zip_derived_cl1888_066,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1887,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24965,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1888,zip_derived_cl1887]) ).
thf(zip_derived_cl194_067,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('136',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24965,zip_derived_cl194]) ).
thf(zip_derived_cl1887_068,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1886_069,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24952,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1887,zip_derived_cl1886]) ).
thf(zip_derived_cl197_070,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('137',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24952,zip_derived_cl197]) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('138',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl311,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('139',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl311]) ).
thf(zip_derived_cl369,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('140',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zip_derived_cl368,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('141',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl368]) ).
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('142',plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1900,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1899_071,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl25118,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1900,zip_derived_cl1899]) ).
thf(zip_derived_cl194_072,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('143',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25118,zip_derived_cl194]) ).
thf(zip_derived_cl1900_073,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1898_074,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl25117,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1900,zip_derived_cl1898]) ).
thf(zip_derived_cl196_075,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('144',plain,
( ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25117,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('145',plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1853_076,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1852,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24521,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1852]) ).
thf(zip_derived_cl192_077,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('146',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24521,zip_derived_cl192]) ).
thf(zip_derived_cl1852_078,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1850_079,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24507,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1850]) ).
thf(zip_derived_cl196_080,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('147',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24507,zip_derived_cl196]) ).
thf(zip_derived_cl1885_081,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1884_082,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24928,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1885,zip_derived_cl1884]) ).
thf(zip_derived_cl192_083,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('148',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24928,zip_derived_cl192]) ).
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('149',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1856,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1854_084,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24561,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1856,zip_derived_cl1854]) ).
thf(zip_derived_cl196_085,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('150',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24561,zip_derived_cl196]) ).
thf(zip_derived_cl34,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('151',plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('152',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1857_086,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1856_087,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24575,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1856]) ).
thf(zip_derived_cl192_088,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('153',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24575,zip_derived_cl192]) ).
thf(zip_derived_cl1857_089,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1854_090,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24573,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1854]) ).
thf(zip_derived_cl195_091,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('154',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24573,zip_derived_cl195]) ).
thf(zip_derived_cl1904_092,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1902_093,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25171,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1904,zip_derived_cl1902]) ).
thf(zip_derived_cl196_094,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('155',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25171,zip_derived_cl196]) ).
thf(zip_derived_cl1889_095,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1887_096,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24977,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1889,zip_derived_cl1887]) ).
thf(zip_derived_cl193_097,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('156',plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24977,zip_derived_cl193]) ).
thf(zip_derived_cl1889_098,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1886_099,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24976,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1889,zip_derived_cl1886]) ).
thf(zip_derived_cl195_100,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('157',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24976,zip_derived_cl195]) ).
thf(zip_derived_cl1889_101,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1888_102,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24978,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1889,zip_derived_cl1888]) ).
thf(zip_derived_cl192_103,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('158',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24978,zip_derived_cl192]) ).
thf(zip_derived_cl1904_104,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1903_105,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25172,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1904,zip_derived_cl1903]) ).
thf(zip_derived_cl194_106,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('159',plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25172,zip_derived_cl194]) ).
thf(zip_derived_cl1873,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1872_107,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24768,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1872]) ).
thf(zip_derived_cl192_108,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('160',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24768,zip_derived_cl192]) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('161',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1903_109,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1902_110,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25159,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1903,zip_derived_cl1902]) ).
thf(zip_derived_cl197_111,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('162',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25159,zip_derived_cl197]) ).
thf(zip_derived_cl1881_112,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1878_113,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24867,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1878]) ).
thf(zip_derived_cl195_114,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('163',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24867,zip_derived_cl195]) ).
thf(zip_derived_cl47,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('164',plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl396,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('165',plain,
( ~ zip_tseitin_44
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zip_derived_cl1897,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1895_115,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl25077,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1897,zip_derived_cl1895]) ).
thf(zip_derived_cl193_116,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('166',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25077,zip_derived_cl193]) ).
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('167',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1875_117,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1874_118,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24788,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1875,zip_derived_cl1874]) ).
thf(zip_derived_cl197_119,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('168',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24788,zip_derived_cl197]) ).
thf(zip_derived_cl1867,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1866_120,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24688,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1867,zip_derived_cl1866]) ).
thf(zip_derived_cl197_121,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('169',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24688,zip_derived_cl197]) ).
thf(zip_derived_cl1893,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1891_122,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl25022,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1893,zip_derived_cl1891]) ).
thf(zip_derived_cl193_123,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('170',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25022,zip_derived_cl193]) ).
thf(zip_derived_cl1873_124,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1871_125,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24767,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1871]) ).
thf(zip_derived_cl193_126,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('171',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24767,zip_derived_cl193]) ).
thf(zip_derived_cl1873_127,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1870_128,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24766,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1870]) ).
thf(zip_derived_cl195_129,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('172',plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24766,zip_derived_cl195]) ).
thf(zip_derived_cl1864_130,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1863_131,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24648,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1864,zip_derived_cl1863]) ).
thf(zip_derived_cl194_132,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('173',plain,
( ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24648,zip_derived_cl194]) ).
thf('174',plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf('175',plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1877,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1875_133,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24812,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl1875]) ).
thf(zip_derived_cl193_134,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('176',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24812,zip_derived_cl193]) ).
thf(zip_derived_cl1877_135,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1874_136,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24811,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl1874]) ).
thf(zip_derived_cl195_137,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('177',plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24811,zip_derived_cl195]) ).
thf('178',plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24999,zip_derived_cl197]) ).
thf(zip_derived_cl1865_138,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1864_139,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24663,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1864]) ).
thf(zip_derived_cl192_140,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('179',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24663,zip_derived_cl192]) ).
thf(zip_derived_cl398,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('180',plain,
( ~ zip_tseitin_44
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl398]) ).
thf(zip_derived_cl399,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('181',plain,
( ~ zip_tseitin_44
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl399]) ).
thf(zip_derived_cl1893_141,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1890_142,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl25021,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1893,zip_derived_cl1890]) ).
thf(zip_derived_cl195_143,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('182',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25021,zip_derived_cl195]) ).
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('183',plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1881_144,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1879,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24868,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1879]) ).
thf(zip_derived_cl193_145,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('184',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24868,zip_derived_cl193]) ).
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('185',plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
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('186',plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1865_146,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1862_147,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24661,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1862]) ).
thf(zip_derived_cl195_148,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('187',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24661,zip_derived_cl195]) ).
thf(zip_derived_cl1864_149,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1862_150,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24647,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1864,zip_derived_cl1862]) ).
thf(zip_derived_cl196_151,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('188',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24647,zip_derived_cl196]) ).
thf(zip_derived_cl1897_152,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1896_153,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl25078,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1897,zip_derived_cl1896]) ).
thf(zip_derived_cl192_154,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('189',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25078,zip_derived_cl192]) ).
thf(zip_derived_cl1880_155,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1879_156,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24853,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1880,zip_derived_cl1879]) ).
thf(zip_derived_cl194_157,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('190',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24853,zip_derived_cl194]) ).
thf(zip_derived_cl1879_158,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1878_159,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24839,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1879,zip_derived_cl1878]) ).
thf(zip_derived_cl197_160,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('191',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24839,zip_derived_cl197]) ).
thf(zip_derived_cl340,plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf('192',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf(zip_derived_cl343,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf('193',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl343]) ).
thf(zip_derived_cl1896_161,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1894_162,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl25062,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1896,zip_derived_cl1894]) ).
thf(zip_derived_cl196_163,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('194',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25062,zip_derived_cl196]) ).
thf(zip_derived_cl403,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('195',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl403]) ).
thf(zip_derived_cl293,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('196',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl1868,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1864_164,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24642,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl102]) ).
thf(zip_derived_cl28614,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl24642]) ).
thf('197',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28614]) ).
thf(zip_derived_cl1872_165,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1868_166,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24695,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl104]) ).
thf(zip_derived_cl28693,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl24695]) ).
thf('198',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28693]) ).
thf(zip_derived_cl1869_167,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1868_168,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24718,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1868]) ).
thf(zip_derived_cl192_169,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('199',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24718,zip_derived_cl192]) ).
thf(zip_derived_cl1868_170,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1867_171,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24700,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1867]) ).
thf(zip_derived_cl194_172,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('200',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24700,zip_derived_cl194]) ).
thf(zip_derived_cl1868_173,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1866_174,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24699,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1866]) ).
thf(zip_derived_cl196_175,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('201',plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24699,zip_derived_cl196]) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_116]) ).
thf('202',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zip_derived_cl324,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf('203',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zip_derived_cl386,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('204',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl1902_176,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1870_177,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl136,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24727,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl136]) ).
thf(zip_derived_cl28733,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1902,zip_derived_cl24727]) ).
thf('205',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28733]) ).
thf(zip_derived_cl387,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('206',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl413,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('207',plain,
( ~ zip_tseitin_48
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl413]) ).
thf(zip_derived_cl412,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('208',plain,
( ~ zip_tseitin_48
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl412]) ).
thf(zip_derived_cl1908,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl800_178,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25230,plain,
( ( e13 = e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1908,zip_derived_cl800]) ).
thf(zip_derived_cl192_179,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('209',plain,
( ( op1 @ e10 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25230,zip_derived_cl192]) ).
thf(zip_derived_cl381,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('210',plain,
( ~ zip_tseitin_40
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zip_derived_cl409,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('211',plain,
( ~ zip_tseitin_47
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl409]) ).
thf(zip_derived_cl408,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('212',plain,
( ~ zip_tseitin_47
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl408]) ).
thf(zip_derived_cl426,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('213',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl426]) ).
thf(zip_derived_cl425,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('214',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl425]) ).
thf(zip_derived_cl423,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('215',plain,
( ~ zip_tseitin_50
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl423]) ).
thf(zip_derived_cl433,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('216',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl433]) ).
thf(zip_derived_cl432,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('217',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl419,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('218',plain,
( ~ zip_tseitin_49
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zip_derived_cl442,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('219',plain,
( ~ zip_tseitin_55
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl442]) ).
thf(zip_derived_cl441,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('220',plain,
( ~ zip_tseitin_55
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl441]) ).
thf(zip_derived_cl430,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('221',plain,
( ~ zip_tseitin_52
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
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_cl1848,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl802,plain,
( e11
= ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl800_180,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl800_181,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24279,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl800,zip_derived_cl800]) ).
thf(zip_derived_cl24450,plain,
( ( e11 = e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl24279]) ).
thf(zip_derived_cl194_182,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('222',plain,
( ( op1 @ e13 @ e13 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24450,zip_derived_cl194]) ).
thf(zip_derived_cl24279_183,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl800,zip_derived_cl800]) ).
thf(zip_derived_cl1846,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24427,plain,
( ( e11 = e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24279,zip_derived_cl1846]) ).
thf(zip_derived_cl197_184,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('223',plain,
( ( op1 @ e13 @ e13 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24427,zip_derived_cl197]) ).
thf('224',plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl438,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('225',plain,
( ~ zip_tseitin_54
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl438]) ).
thf(zip_derived_cl453,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('226',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl453]) ).
thf(zip_derived_cl452,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('227',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl452]) ).
thf(zip_derived_cl458,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('228',plain,
( ~ zip_tseitin_59
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl457,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('229',plain,
( ~ zip_tseitin_59
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl463,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('230',plain,
( ~ zip_tseitin_60
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl463]) ).
thf(zip_derived_cl467,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('231',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl467]) ).
thf(zip_derived_cl471,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('232',plain,
( ~ zip_tseitin_62
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl471]) ).
thf(zip_derived_cl473,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('233',plain,
( ~ zip_tseitin_63
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl473]) ).
thf(zip_derived_cl472,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('234',plain,
( ~ zip_tseitin_63
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zip_derived_cl1849,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24279_185,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl800,zip_derived_cl800]) ).
thf(zip_derived_cl24462,plain,
( ( e11 = e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1849,zip_derived_cl24279]) ).
thf(zip_derived_cl193_186,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('235',plain,
( ( op1 @ e13 @ e13 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24462,zip_derived_cl193]) ).
thf(zip_derived_cl1861,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24269_187,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl800]) ).
thf(zip_derived_cl24608,plain,
( ( e12 = e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl24269]) ).
thf(zip_derived_cl192_188,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('236',plain,
( ( op1 @ e13 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24608,zip_derived_cl192]) ).
thf(zip_derived_cl451,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('237',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_57 ),
inference(split,[status(esa)],[zip_derived_cl451]) ).
thf(zip_derived_cl245,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('238',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf(zip_derived_cl1869_189,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1853_190,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_cl24516,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl126]) ).
thf(zip_derived_cl28493,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl24516]) ).
thf('239',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28493]) ).
thf(zip_derived_cl1869_191,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1867_192,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24717,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1867]) ).
thf(zip_derived_cl193_193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('240',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24717,zip_derived_cl193]) ).
thf(zip_derived_cl248,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_122]) ).
thf('241',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
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('242',plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1873_194,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1857_195,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24570,plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1857,zip_derived_cl132]) ).
thf(zip_derived_cl28550,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1873,zip_derived_cl24570]) ).
thf('243',plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28550]) ).
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('244',plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1853_196,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1850_197,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24519,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1850]) ).
thf(zip_derived_cl195_198,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('245',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24519,zip_derived_cl195]) ).
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('246',plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1855_199,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1854_200,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24549,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl1854]) ).
thf(zip_derived_cl197_201,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('247',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24549,zip_derived_cl197]) ).
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('248',plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('249',plain,
( ( op1 @ e10 @ e11 )
= e11 ),
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','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','28','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248']) ).
thf(zip_derived_cl29078,plain,
( ( op1 @ e10 @ e11 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1903,'249']) ).
thf(zip_derived_cl24330_202,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl48157,plain,
( ( e21
!= ( op2 @ e20 @ e21 ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29756,zip_derived_cl29078,zip_derived_cl24330]) ).
thf(zip_derived_cl3526,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_cl822]) ).
thf(zip_derived_cl800_203,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl806,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl803_204,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24317,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl809_205,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl809_206,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl803_207,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl29754,plain,
( ( e23 != e23 )
<= ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3526,zip_derived_cl800,zip_derived_cl24317,zip_derived_cl809,zip_derived_cl809,zip_derived_cl803]) ).
thf('250',plain,
( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29754]) ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl52,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2056,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
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_cl2064,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2056_208,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(ax6,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26197,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2056,zip_derived_cl151]) ).
thf(zip_derived_cl29328,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2064,zip_derived_cl26197]) ).
thf('251',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29328]) ).
thf(zip_derived_cl2063,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
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_cl2059,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26236,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2059,zip_derived_cl152]) ).
thf(zip_derived_cl29393,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2063,zip_derived_cl26236]) ).
thf('252',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29393]) ).
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_cl2081,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl56,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2073,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26412,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2073,zip_derived_cl157]) ).
thf(zip_derived_cl29573,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2081,zip_derived_cl26412]) ).
thf('253',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29573]) ).
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_cl2048,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_cl804,plain,
( e22
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl803_209,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24293,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl24296,plain,
( e22
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl24293]) ).
thf(zip_derived_cl30441,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl24296]) ).
thf('254',plain,
( ( op2 @ e23 @ e21 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl30441]) ).
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_cl91,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('255',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_cl2071,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2070,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26391,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2071,zip_derived_cl2070]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('256',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26391,zip_derived_cl203]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e20 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ) ) ).
thf(zf_stmt_138,axiom,
( zip_tseitin_96
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl622,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ~ zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_138]) ).
thf('257',plain,
( ~ zip_tseitin_96
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl622]) ).
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_cl2089,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2088,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26575,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2089,zip_derived_cl2088]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('258',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26575,zip_derived_cl198]) ).
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_cl2083,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
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_cl2067,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26341,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2067,zip_derived_cl188]) ).
thf(zip_derived_cl29513,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2083,zip_derived_cl26341]) ).
thf('259',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29513]) ).
thf(zip_derived_cl2055,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24303_210,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl24306,plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl24303]) ).
thf(zip_derived_cl30504,plain,
( ( e21 != e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2055,zip_derived_cl24306]) ).
thf('260',plain,
( ( op2 @ e22 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl30504]) ).
thf(zip_derived_cl2064_211,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2060,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152_212,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26254,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2060,zip_derived_cl152]) ).
thf(zip_derived_cl29414,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2064,zip_derived_cl26254]) ).
thf('261',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29414]) ).
thf(zip_derived_cl2060_213,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2056_214,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26196,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2056,zip_derived_cl150]) ).
thf(zip_derived_cl29323,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2060,zip_derived_cl26196]) ).
thf('262',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29323]) ).
thf(zip_derived_cl2066,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2058,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl154,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26222,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2058,zip_derived_cl154]) ).
thf(zip_derived_cl29377,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl26222]) ).
thf('263',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29377]) ).
thf(zip_derived_cl2065,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2049,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26150,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl180]) ).
thf(zip_derived_cl29260,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2065,zip_derived_cl26150]) ).
thf('264',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29260]) ).
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('265',plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl2081_215,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2049_216,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
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_cl26151,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl181]) ).
thf(zip_derived_cl29264,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2081,zip_derived_cl26151]) ).
thf('266',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29264]) ).
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('267',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl2089_217,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
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_cl803_218,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24287,plain,
( e23
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl803]) ).
thf(zip_derived_cl30355,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2089,zip_derived_cl24287]) ).
thf('268',plain,
( ( op2 @ e20 @ e23 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl30355]) ).
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_cl2044,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_cl24293_219,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl24295,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl24293]) ).
thf(zip_derived_cl30434,plain,
( ( e22 != e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2044,zip_derived_cl24295]) ).
thf('269',plain,
( ( op2 @ e23 @ e22 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl30434]) ).
thf(zip_derived_cl2043,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24303_220,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl24304,plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl24303]) ).
thf(zip_derived_cl30488,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2043,zip_derived_cl24304]) ).
thf('270',plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl30488]) ).
thf(zf_stmt_139,axiom,
( zip_tseitin_109
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl677,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('271',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl677]) ).
thf(zip_derived_cl2065_221,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2061,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl152_222,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26275,plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2061,zip_derived_cl152]) ).
thf(zip_derived_cl29437,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2065,zip_derived_cl26275]) ).
thf('272',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29437]) ).
thf(zip_derived_cl2061_223,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2057,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl150_224,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26208,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl150]) ).
thf(zip_derived_cl29350,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2061,zip_derived_cl26208]) ).
thf('273',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29350]) ).
thf(zip_derived_cl2061_225,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2045,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26120,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl174]) ).
thf(zip_derived_cl29200,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2061,zip_derived_cl26120]) ).
thf('274',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29200]) ).
thf(zf_stmt_140,axiom,
( zip_tseitin_134
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e23 ) )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl787,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ~ zip_tseitin_134 ),
inference(cnf,[status(esa)],[zf_stmt_140]) ).
thf('275',plain,
( ~ zip_tseitin_134
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl787]) ).
thf(zf_stmt_141,axiom,
( zip_tseitin_135
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl797,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 )
| ~ zip_tseitin_135 ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('276',plain,
( ~ zip_tseitin_135
| ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl797]) ).
thf(zip_derived_cl2049_226,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2045_227,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
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_cl26119,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl146]) ).
thf(zip_derived_cl29191,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl26119]) ).
thf('277',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29191]) ).
thf(zip_derived_cl2058_228,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl3435,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
<= ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl787]) ).
thf(zip_derived_cl30104,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2058,zip_derived_cl3435]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24293_229,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl24297,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl24293]) ).
thf('278',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30104,zip_derived_cl24297]) ).
thf(zip_derived_cl2058_230,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl3456,plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl797]) ).
thf(zip_derived_cl24293_231,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl30183,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl3456,zip_derived_cl24293]) ).
thf(zip_derived_cl174_232,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl30185,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
<= ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30183,zip_derived_cl174]) ).
thf(zip_derived_cl30202,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2058,zip_derived_cl30185]) ).
thf('279',plain,
( ( ( op2 @ e23 @ ( op2 @ e23 @ e20 ) )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30202]) ).
thf(zf_stmt_142,axiom,
( zip_tseitin_132
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e23 ) )
= e23 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl767,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_132 ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf('280',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ~ zip_tseitin_132
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl767]) ).
thf(zip_derived_cl2068,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl24297_233,plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl24293]) ).
thf(zip_derived_cl30448,plain,
( ( e22 != e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2068,zip_derived_cl24297]) ).
thf('281',plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl30448]) ).
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_cl2093,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
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_cl803_234,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24288,plain,
( e23
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl803]) ).
thf(zip_derived_cl30362,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2093,zip_derived_cl24288]) ).
thf('282',plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl30362]) ).
thf(zf_stmt_143,axiom,
( zip_tseitin_98
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl632,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('283',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl632]) ).
thf(zip_derived_cl624,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ~ zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_138]) ).
thf('284',plain,
( ~ zip_tseitin_96
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl624]) ).
thf(zip_derived_cl2093_235,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2092,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26602,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl2092]) ).
thf(zip_derived_cl198_236,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('285',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26602,zip_derived_cl198]) ).
thf(zf_stmt_144,axiom,
( zip_tseitin_112
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl688,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_112 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('286',plain,
( ~ zip_tseitin_112
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl688]) ).
thf(zip_derived_cl80,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('287',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl62,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2097,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2095,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26628,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2097,zip_derived_cl2095]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('288',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26628,zip_derived_cl199]) ).
thf(zip_derived_cl631,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('289',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl631]) ).
thf(zf_stmt_145,axiom,
( zip_tseitin_86
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl583,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('290',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl583]) ).
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_cl2075,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2059_237,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26238,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2059,zip_derived_cl176]) ).
thf(zip_derived_cl29403,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2075,zip_derived_cl26238]) ).
thf('291',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29403]) ).
thf(zip_derived_cl2085,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2084,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26545,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2085,zip_derived_cl2084]) ).
thf(zip_derived_cl198_238,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('292',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26545,zip_derived_cl198]) ).
thf(zip_derived_cl674,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('293',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl674]) ).
thf(zf_stmt_146,type,
zip_tseitin_135: $o ).
thf(zf_stmt_147,type,
zip_tseitin_134: $o ).
thf(zf_stmt_148,type,
zip_tseitin_133: $o ).
thf(zf_stmt_149,axiom,
( zip_tseitin_133
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e23 ) )
= e23 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e20 ) )
= e20 ) ) ) ).
thf(zf_stmt_150,type,
zip_tseitin_132: $o ).
thf(zf_stmt_151,type,
zip_tseitin_131: $o ).
thf(zf_stmt_152,axiom,
( zip_tseitin_131
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_153,type,
zip_tseitin_130: $o ).
thf(zf_stmt_154,axiom,
( zip_tseitin_130
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_155,type,
zip_tseitin_129: $o ).
thf(zf_stmt_156,axiom,
( zip_tseitin_129
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_157,type,
zip_tseitin_128: $o ).
thf(zf_stmt_158,axiom,
( zip_tseitin_128
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_159,type,
zip_tseitin_127: $o ).
thf(zf_stmt_160,axiom,
( zip_tseitin_127
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_161,type,
zip_tseitin_126: $o ).
thf(zf_stmt_162,axiom,
( zip_tseitin_126
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_163,type,
zip_tseitin_125: $o ).
thf(zf_stmt_164,axiom,
( zip_tseitin_125
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_165,type,
zip_tseitin_124: $o ).
thf(zf_stmt_166,axiom,
( zip_tseitin_124
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_167,type,
zip_tseitin_123: $o ).
thf(zf_stmt_168,axiom,
( zip_tseitin_123
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_169,type,
zip_tseitin_122: $o ).
thf(zf_stmt_170,axiom,
( zip_tseitin_122
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_171,type,
zip_tseitin_121: $o ).
thf(zf_stmt_172,axiom,
( zip_tseitin_121
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_173,type,
zip_tseitin_120: $o ).
thf(zf_stmt_174,axiom,
( zip_tseitin_120
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_175,type,
zip_tseitin_119: $o ).
thf(zf_stmt_176,axiom,
( zip_tseitin_119
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_177,type,
zip_tseitin_118: $o ).
thf(zf_stmt_178,axiom,
( zip_tseitin_118
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_179,type,
zip_tseitin_117: $o ).
thf(zf_stmt_180,axiom,
( zip_tseitin_117
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_181,type,
zip_tseitin_116: $o ).
thf(zf_stmt_182,axiom,
( zip_tseitin_116
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_183,type,
zip_tseitin_115: $o ).
thf(zf_stmt_184,axiom,
( zip_tseitin_115
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_185,type,
zip_tseitin_114: $o ).
thf(zf_stmt_186,axiom,
( zip_tseitin_114
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_187,type,
zip_tseitin_113: $o ).
thf(zf_stmt_188,axiom,
( zip_tseitin_113
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_189,type,
zip_tseitin_112: $o ).
thf(zf_stmt_190,type,
zip_tseitin_111: $o ).
thf(zf_stmt_191,axiom,
( zip_tseitin_111
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_192,type,
zip_tseitin_110: $o ).
thf(zf_stmt_193,axiom,
( zip_tseitin_110
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_194,type,
zip_tseitin_109: $o ).
thf(zf_stmt_195,type,
zip_tseitin_108: $o ).
thf(zf_stmt_196,axiom,
( zip_tseitin_108
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_197,type,
zip_tseitin_107: $o ).
thf(zf_stmt_198,axiom,
( zip_tseitin_107
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_199,type,
zip_tseitin_106: $o ).
thf(zf_stmt_200,axiom,
( zip_tseitin_106
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_201,type,
zip_tseitin_105: $o ).
thf(zf_stmt_202,axiom,
( zip_tseitin_105
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_203,type,
zip_tseitin_104: $o ).
thf(zf_stmt_204,axiom,
( zip_tseitin_104
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_205,type,
zip_tseitin_103: $o ).
thf(zf_stmt_206,axiom,
( zip_tseitin_103
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_207,type,
zip_tseitin_102: $o ).
thf(zf_stmt_208,axiom,
( zip_tseitin_102
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_209,type,
zip_tseitin_101: $o ).
thf(zf_stmt_210,axiom,
( zip_tseitin_101
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_211,type,
zip_tseitin_100: $o ).
thf(zf_stmt_212,axiom,
( zip_tseitin_100
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_213,type,
zip_tseitin_99: $o ).
thf(zf_stmt_214,axiom,
( zip_tseitin_99
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_215,type,
zip_tseitin_98: $o ).
thf(zf_stmt_216,type,
zip_tseitin_97: $o ).
thf(zf_stmt_217,axiom,
( zip_tseitin_97
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_218,type,
zip_tseitin_96: $o ).
thf(zf_stmt_219,type,
zip_tseitin_95: $o ).
thf(zf_stmt_220,axiom,
( zip_tseitin_95
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_221,type,
zip_tseitin_94: $o ).
thf(zf_stmt_222,axiom,
( zip_tseitin_94
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_223,type,
zip_tseitin_93: $o ).
thf(zf_stmt_224,axiom,
( zip_tseitin_93
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_225,type,
zip_tseitin_92: $o ).
thf(zf_stmt_226,axiom,
( zip_tseitin_92
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_227,type,
zip_tseitin_91: $o ).
thf(zf_stmt_228,axiom,
( zip_tseitin_91
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_229,type,
zip_tseitin_90: $o ).
thf(zf_stmt_230,axiom,
( zip_tseitin_90
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_231,type,
zip_tseitin_89: $o ).
thf(zf_stmt_232,axiom,
( zip_tseitin_89
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_233,type,
zip_tseitin_88: $o ).
thf(zf_stmt_234,axiom,
( zip_tseitin_88
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_235,type,
zip_tseitin_87: $o ).
thf(zf_stmt_236,axiom,
( zip_tseitin_87
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_237,type,
zip_tseitin_86: $o ).
thf(zf_stmt_238,type,
zip_tseitin_85: $o ).
thf(zf_stmt_239,axiom,
( zip_tseitin_85
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_240,type,
zip_tseitin_84: $o ).
thf(zf_stmt_241,axiom,
( zip_tseitin_84
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_242,type,
zip_tseitin_83: $o ).
thf(zf_stmt_243,axiom,
( zip_tseitin_83
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_244,type,
zip_tseitin_82: $o ).
thf(zf_stmt_245,axiom,
( zip_tseitin_82
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_246,type,
zip_tseitin_81: $o ).
thf(zf_stmt_247,axiom,
( zip_tseitin_81
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_248,type,
zip_tseitin_80: $o ).
thf(zf_stmt_249,axiom,
( zip_tseitin_80
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_250,type,
zip_tseitin_79: $o ).
thf(zf_stmt_251,axiom,
( zip_tseitin_79
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_252,type,
zip_tseitin_78: $o ).
thf(zf_stmt_253,axiom,
( zip_tseitin_78
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_254,type,
zip_tseitin_77: $o ).
thf(zf_stmt_255,axiom,
( zip_tseitin_77
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_256,type,
zip_tseitin_76: $o ).
thf(zf_stmt_257,axiom,
( zip_tseitin_76
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_258,type,
zip_tseitin_75: $o ).
thf(zf_stmt_259,axiom,
( zip_tseitin_75
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_260,type,
zip_tseitin_74: $o ).
thf(zf_stmt_261,axiom,
( zip_tseitin_74
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_262,type,
zip_tseitin_73: $o ).
thf(zf_stmt_263,axiom,
( zip_tseitin_73
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_264,type,
zip_tseitin_72: $o ).
thf(zf_stmt_265,axiom,
( zip_tseitin_72
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_266,type,
zip_tseitin_71: $o ).
thf(zf_stmt_267,axiom,
( zip_tseitin_71
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_268,type,
zip_tseitin_70: $o ).
thf(zf_stmt_269,axiom,
( zip_tseitin_70
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_270,type,
zip_tseitin_69: $o ).
thf(zf_stmt_271,axiom,
( zip_tseitin_69
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_272,type,
zip_tseitin_68: $o ).
thf(zf_stmt_273,axiom,
( zip_tseitin_68
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_274,axiom,
( ( zip_tseitin_135
| zip_tseitin_134
| zip_tseitin_133
| zip_tseitin_132 )
& ( zip_tseitin_131
| zip_tseitin_130
| zip_tseitin_129
| zip_tseitin_128
| zip_tseitin_127
| zip_tseitin_126
| zip_tseitin_125
| zip_tseitin_124
| zip_tseitin_123
| zip_tseitin_122
| zip_tseitin_121
| zip_tseitin_120
| zip_tseitin_119
| zip_tseitin_118
| zip_tseitin_117
| zip_tseitin_116
| zip_tseitin_115
| zip_tseitin_114
| zip_tseitin_113
| zip_tseitin_112
| zip_tseitin_111
| zip_tseitin_110
| zip_tseitin_109
| zip_tseitin_108
| zip_tseitin_107
| zip_tseitin_106
| zip_tseitin_105
| zip_tseitin_104
| zip_tseitin_103
| zip_tseitin_102
| zip_tseitin_101
| zip_tseitin_100
| zip_tseitin_99
| zip_tseitin_98
| zip_tseitin_97
| zip_tseitin_96
| 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 ) ) ).
thf(zip_derived_cl798,plain,
( zip_tseitin_135
| zip_tseitin_134
| zip_tseitin_133
| zip_tseitin_132 ),
inference(cnf,[status(esa)],[zf_stmt_274]) ).
thf('294',plain,
( zip_tseitin_132
| zip_tseitin_134
| zip_tseitin_133
| zip_tseitin_135 ),
inference(split,[status(esa)],[zip_derived_cl798]) ).
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('295',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_cl2055_239,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2054,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26194,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2055,zip_derived_cl2054]) ).
thf(zip_derived_cl203_240,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('296',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26194,zip_derived_cl203]) ).
thf(zip_derived_cl2088_241,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2086,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26564,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2088,zip_derived_cl2086]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('297',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26564,zip_derived_cl202]) ).
thf(zip_derived_cl2073_242,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2071_243,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26416,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2071]) ).
thf(zip_derived_cl199_244,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('298',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26416,zip_derived_cl199]) ).
thf(zip_derived_cl2073_245,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2070_246,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26415,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2070]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('299',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26415,zip_derived_cl201]) ).
thf(zip_derived_cl734,plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('300',plain,
( ~ zip_tseitin_124
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl734]) ).
thf(zip_derived_cl534,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_261]) ).
thf('301',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl534]) ).
thf(zip_derived_cl537,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_261]) ).
thf('302',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl537]) ).
thf(zip_derived_cl673,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('303',plain,
( ~ zip_tseitin_108
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl673]) ).
thf(zip_derived_cl519,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_269]) ).
thf('304',plain,
( ~ zip_tseitin_70
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl519]) ).
thf(zip_derived_cl656,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('305',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl656]) ).
thf(zip_derived_cl668,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf('306',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl668]) ).
thf(zip_derived_cl2096,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2094,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26619,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2096,zip_derived_cl2094]) ).
thf(zip_derived_cl202_247,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('307',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26619,zip_derived_cl202]) ).
thf(zip_derived_cl72,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('308',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_cl2093_248,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2091,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26601,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl2091]) ).
thf(zip_derived_cl199_249,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('309',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26601,zip_derived_cl199]) ).
thf(zip_derived_cl530,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_263]) ).
thf('310',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl530]) ).
thf(zip_derived_cl2057_250,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2055_251,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26214,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2055]) ).
thf(zip_derived_cl199_252,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('311',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26214,zip_derived_cl199]) ).
thf(zip_derived_cl693,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('312',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_113 ),
inference(split,[status(esa)],[zip_derived_cl693]) ).
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('313',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_cl2048_253,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2046,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26146,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl2046]) ).
thf(zip_derived_cl202_254,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('314',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26146,zip_derived_cl202]) ).
thf(zip_derived_cl2065_255,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2064_256,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26328,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2065,zip_derived_cl2064]) ).
thf(zip_derived_cl198_257,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('315',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26328,zip_derived_cl198]) ).
thf(zip_derived_cl2049_258,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2047,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26154,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2049,zip_derived_cl2047]) ).
thf(zip_derived_cl199_259,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('316',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26154,zip_derived_cl199]) ).
thf(zip_derived_cl2075_260,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2074,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26440,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2075,zip_derived_cl2074]) ).
thf(zip_derived_cl203_261,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('317',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26440,zip_derived_cl203]) ).
thf(zip_derived_cl546,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_255]) ).
thf('318',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl546]) ).
thf(zip_derived_cl738,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('319',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_125 ),
inference(split,[status(esa)],[zip_derived_cl738]) ).
thf(zip_derived_cl2047_262,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2046_263,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26139,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2047,zip_derived_cl2046]) ).
thf(zip_derived_cl203_264,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('320',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26139,zip_derived_cl203]) ).
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('321',plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl2095_265,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2094_266,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26615,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2095,zip_derived_cl2094]) ).
thf(zip_derived_cl203_267,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('322',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26615,zip_derived_cl203]) ).
thf(zip_derived_cl541,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_259]) ).
thf('323',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl541]) ).
thf(zip_derived_cl669,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf('324',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl669]) ).
thf(zip_derived_cl2064_268,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2063_269,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26316,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl2063]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('325',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26316,zip_derived_cl200]) ).
thf(zip_derived_cl2057_270,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2054_271,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26213,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2054]) ).
thf(zip_derived_cl201_272,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('326',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26213,zip_derived_cl201]) ).
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('327',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl2076,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2074_273,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26451,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2076,zip_derived_cl2074]) ).
thf(zip_derived_cl202_274,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('328',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26451,zip_derived_cl202]) ).
thf(zip_derived_cl2068_275,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2066_276,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26351,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2068,zip_derived_cl2066]) ).
thf(zip_derived_cl202_277,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('329',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26351,zip_derived_cl202]) ).
thf(zip_derived_cl735,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('330',plain,
( ~ zip_tseitin_124
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl735]) ).
thf(zip_derived_cl564,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_81 ),
inference(cnf,[status(esa)],[zf_stmt_247]) ).
thf('331',plain,
( ~ zip_tseitin_81
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl564]) ).
thf(zip_derived_cl551,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_253]) ).
thf('332',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl551]) ).
thf(zip_derived_cl655,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('333',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl655]) ).
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('334',plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl568,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_82 ),
inference(cnf,[status(esa)],[zf_stmt_245]) ).
thf('335',plain,
( ~ zip_tseitin_82
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl568]) ).
thf(zip_derived_cl671,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('336',plain,
( ~ zip_tseitin_108
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl671]) ).
thf(zip_derived_cl2100,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl803_278,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26652,plain,
( ( e23 = e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2100,zip_derived_cl803]) ).
thf(zip_derived_cl198_279,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('337',plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26652,zip_derived_cl198]) ).
thf(zip_derived_cl607,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_92 ),
inference(cnf,[status(esa)],[zf_stmt_226]) ).
thf('338',plain,
( ~ zip_tseitin_92
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl607]) ).
thf(zip_derived_cl2092_280,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2090,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26590,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2092,zip_derived_cl2090]) ).
thf(zip_derived_cl202_281,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('339',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26590,zip_derived_cl202]) ).
thf(zip_derived_cl2061_282,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2059_283,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26283,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2059]) ).
thf(zip_derived_cl199_284,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('340',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26283,zip_derived_cl199]) ).
thf(zip_derived_cl2061_285,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2058_286,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26282,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2058]) ).
thf(zip_derived_cl201_287,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('341',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26282,zip_derived_cl201]) ).
thf(zip_derived_cl692,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('342',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_113 ),
inference(split,[status(esa)],[zip_derived_cl692]) ).
thf(zip_derived_cl593,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_234]) ).
thf('343',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl593]) ).
thf(zip_derived_cl595,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_232]) ).
thf('344',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl595]) ).
thf(zip_derived_cl605,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_228]) ).
thf('345',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl605]) ).
thf(zip_derived_cl592,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_234]) ).
thf('346',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl592]) ).
thf(zip_derived_cl2083_288,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2082,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26530,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2083,zip_derived_cl2082]) ).
thf(zip_derived_cl203_289,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('347',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26530,zip_derived_cl203]) ).
thf(zip_derived_cl642,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_101 ),
inference(cnf,[status(esa)],[zf_stmt_210]) ).
thf('348',plain,
( ~ zip_tseitin_101
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl642]) ).
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('349',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl625,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_138]) ).
thf('350',plain,
( ~ zip_tseitin_96
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl625]) ).
thf(zip_derived_cl686,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ~ zip_tseitin_112 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('351',plain,
( ~ zip_tseitin_112
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl686]) ).
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('352',plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl2072,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2071_290,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26404,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2072,zip_derived_cl2071]) ).
thf(zip_derived_cl200_291,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('353',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26404,zip_derived_cl200]) ).
thf(zip_derived_cl2072_292,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2070_293,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26403,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2072,zip_derived_cl2070]) ).
thf(zip_derived_cl202_294,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('354',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26403,zip_derived_cl202]) ).
thf(zip_derived_cl2044_295,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2042,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26112,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2044,zip_derived_cl2042]) ).
thf(zip_derived_cl202_296,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('355',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26112,zip_derived_cl202]) ).
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('356',plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl2045_297,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2044_298,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26125,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2044]) ).
thf(zip_derived_cl198_299,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('357',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26125,zip_derived_cl198]) ).
thf(zip_derived_cl2059_300,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2058_301,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26243,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2059,zip_derived_cl2058]) ).
thf(zip_derived_cl203_302,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('358',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26243,zip_derived_cl203]) ).
thf(zip_derived_cl2077,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2076_303,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26462,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2077,zip_derived_cl2076]) ).
thf(zip_derived_cl198_304,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('359',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26462,zip_derived_cl198]) ).
thf(zip_derived_cl2077_305,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2074_306,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26460,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2077,zip_derived_cl2074]) ).
thf(zip_derived_cl201_307,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('360',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26460,zip_derived_cl201]) ).
thf(zip_derived_cl2077_308,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2075_309,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26461,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2077,zip_derived_cl2075]) ).
thf(zip_derived_cl199_310,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('361',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26461,zip_derived_cl199]) ).
thf(zip_derived_cl2076_311,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2075_312,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26452,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2076,zip_derived_cl2075]) ).
thf(zip_derived_cl200_313,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('362',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26452,zip_derived_cl200]) ).
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('363',plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('364',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl2073_314,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2072_315,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26417,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2072]) ).
thf(zip_derived_cl198_316,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('365',plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26417,zip_derived_cl198]) ).
thf(zip_derived_cl531,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_263]) ).
thf('366',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl531]) ).
thf(zip_derived_cl2081_317,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2078,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26517,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2081,zip_derived_cl2078]) ).
thf(zip_derived_cl201_318,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('367',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26517,zip_derived_cl201]) ).
thf(zip_derived_cl2080,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2078_319,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26501,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2080,zip_derived_cl2078]) ).
thf(zip_derived_cl202_320,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('368',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26501,zip_derived_cl202]) ).
thf(zip_derived_cl2079,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2078_321,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26486,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2079,zip_derived_cl2078]) ).
thf(zip_derived_cl203_322,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('369',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26486,zip_derived_cl203]) ).
thf(zip_derived_cl584,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('370',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_86 ),
inference(split,[status(esa)],[zip_derived_cl584]) ).
thf(zip_derived_cl643,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_101 ),
inference(cnf,[status(esa)],[zf_stmt_210]) ).
thf('371',plain,
( ~ zip_tseitin_101
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl643]) ).
thf(zip_derived_cl591,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_234]) ).
thf('372',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl591]) ).
thf(zip_derived_cl2071_323,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24303_324,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl24307,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl24303]) ).
thf(zip_derived_cl30511,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2071,zip_derived_cl24307]) ).
thf('373',plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl30511]) ).
thf(zip_derived_cl633,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('374',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl633]) ).
thf(zip_derived_cl2060_325,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2058_326,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26261,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2060,zip_derived_cl2058]) ).
thf(zip_derived_cl202_327,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('375',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26261,zip_derived_cl202]) ).
thf(zip_derived_cl2069,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2066_328,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26363,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2069,zip_derived_cl2066]) ).
thf(zip_derived_cl201_329,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('376',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26363,zip_derived_cl201]) ).
thf(zip_derived_cl79,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('377',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
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('378',plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
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('379',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl2065_330,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2062,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26326,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2065,zip_derived_cl2062]) ).
thf(zip_derived_cl201_331,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('380',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26326,zip_derived_cl201]) ).
thf(zip_derived_cl2063_332,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2062_333,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26308,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2063,zip_derived_cl2062]) ).
thf(zip_derived_cl203_334,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('381',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26308,zip_derived_cl203]) ).
thf(zip_derived_cl2069_335,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2067_336,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26364,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2069,zip_derived_cl2067]) ).
thf(zip_derived_cl199_337,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('382',plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26364,zip_derived_cl199]) ).
thf(zip_derived_cl2057_338,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2056_339,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26215,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2056]) ).
thf(zip_derived_cl198_340,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('383',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26215,zip_derived_cl198]) ).
thf(zip_derived_cl2056_341,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2055_342,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26202,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2056,zip_derived_cl2055]) ).
thf(zip_derived_cl200_343,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('384',plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26202,zip_derived_cl200]) ).
thf(zip_derived_cl2056_344,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2054_345,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26201,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2056,zip_derived_cl2054]) ).
thf(zip_derived_cl202_346,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('385',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26201,zip_derived_cl202]) ).
thf(zip_derived_cl799,plain,
( zip_tseitin_131
| zip_tseitin_130
| zip_tseitin_129
| zip_tseitin_128
| zip_tseitin_127
| zip_tseitin_126
| zip_tseitin_125
| zip_tseitin_124
| zip_tseitin_123
| zip_tseitin_122
| zip_tseitin_121
| zip_tseitin_120
| zip_tseitin_119
| zip_tseitin_118
| zip_tseitin_117
| zip_tseitin_116
| zip_tseitin_115
| zip_tseitin_114
| zip_tseitin_113
| zip_tseitin_112
| zip_tseitin_111
| zip_tseitin_110
| zip_tseitin_109
| zip_tseitin_108
| zip_tseitin_107
| zip_tseitin_106
| zip_tseitin_105
| zip_tseitin_104
| zip_tseitin_103
| zip_tseitin_102
| zip_tseitin_101
| zip_tseitin_100
| zip_tseitin_99
| zip_tseitin_98
| zip_tseitin_97
| zip_tseitin_96
| 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 ),
inference(cnf,[status(esa)],[zf_stmt_274]) ).
thf('386',plain,
( zip_tseitin_125
| zip_tseitin_112
| zip_tseitin_106
| zip_tseitin_72
| zip_tseitin_70
| zip_tseitin_124
| zip_tseitin_78
| zip_tseitin_73
| zip_tseitin_98
| zip_tseitin_104
| zip_tseitin_69
| zip_tseitin_71
| zip_tseitin_80
| zip_tseitin_89
| zip_tseitin_107
| zip_tseitin_83
| zip_tseitin_92
| zip_tseitin_86
| zip_tseitin_81
| zip_tseitin_87
| zip_tseitin_76
| zip_tseitin_79
| zip_tseitin_75
| zip_tseitin_68
| zip_tseitin_90
| zip_tseitin_74
| zip_tseitin_94
| zip_tseitin_95
| zip_tseitin_93
| zip_tseitin_113
| zip_tseitin_96
| zip_tseitin_99
| zip_tseitin_100
| zip_tseitin_101
| zip_tseitin_102
| zip_tseitin_103
| zip_tseitin_82
| zip_tseitin_105
| zip_tseitin_85
| zip_tseitin_97
| zip_tseitin_108
| zip_tseitin_109
| zip_tseitin_110
| zip_tseitin_111
| zip_tseitin_91
| zip_tseitin_88
| zip_tseitin_114
| zip_tseitin_115
| zip_tseitin_116
| zip_tseitin_117
| zip_tseitin_118
| zip_tseitin_119
| zip_tseitin_120
| zip_tseitin_121
| zip_tseitin_122
| zip_tseitin_123
| zip_tseitin_84
| zip_tseitin_77
| zip_tseitin_126
| zip_tseitin_127
| zip_tseitin_128
| zip_tseitin_129
| zip_tseitin_130
| zip_tseitin_131 ),
inference(split,[status(esa)],[zip_derived_cl799]) ).
thf(zip_derived_cl664,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_106 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('387',plain,
( ~ zip_tseitin_106
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl664]) ).
thf(zip_derived_cl663,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_106 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('388',plain,
( ~ zip_tseitin_106
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl663]) ).
thf(zip_derived_cl528,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_265]) ).
thf('389',plain,
( ~ zip_tseitin_72
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl528]) ).
thf(zip_derived_cl527,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_265]) ).
thf('390',plain,
( ~ zip_tseitin_72
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl527]) ).
thf(zip_derived_cl521,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_269]) ).
thf('391',plain,
( ~ zip_tseitin_70
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl521]) ).
thf(zip_derived_cl520,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_269]) ).
thf('392',plain,
( ~ zip_tseitin_70
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl520]) ).
thf(zip_derived_cl517,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_271]) ).
thf('393',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl517]) ).
thf(zip_derived_cl516,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_271]) ).
thf('394',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl516]) ).
thf(zip_derived_cl523,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_267]) ).
thf('395',plain,
( ~ zip_tseitin_71
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl523]) ).
thf(zip_derived_cl560,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_80 ),
inference(cnf,[status(esa)],[zf_stmt_249]) ).
thf('396',plain,
( ~ zip_tseitin_80
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl560]) ).
thf(zip_derived_cl559,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_80 ),
inference(cnf,[status(esa)],[zf_stmt_249]) ).
thf('397',plain,
( ~ zip_tseitin_80
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl559]) ).
thf(zip_derived_cl571,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_243]) ).
thf('398',plain,
( ~ zip_tseitin_83
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl571]) ).
thf(zip_derived_cl570,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_243]) ).
thf('399',plain,
( ~ zip_tseitin_83
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl570]) ).
thf(zip_derived_cl587,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_87 ),
inference(cnf,[status(esa)],[zf_stmt_236]) ).
thf('400',plain,
( ~ zip_tseitin_87
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl587]) ).
thf(zip_derived_cl544,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ~ zip_tseitin_76 ),
inference(cnf,[status(esa)],[zf_stmt_257]) ).
thf('401',plain,
( ~ zip_tseitin_76
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl544]) ).
thf(zip_derived_cl543,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_76 ),
inference(cnf,[status(esa)],[zf_stmt_257]) ).
thf('402',plain,
( ~ zip_tseitin_76
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl543]) ).
thf(zip_derived_cl555,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_79 ),
inference(cnf,[status(esa)],[zf_stmt_251]) ).
thf('403',plain,
( ~ zip_tseitin_79
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl555]) ).
thf(zip_derived_cl511,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_273]) ).
thf('404',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl511]) ).
thf(zip_derived_cl510,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_273]) ).
thf('405',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl510]) ).
thf(zip_derived_cl615,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_94 ),
inference(cnf,[status(esa)],[zf_stmt_222]) ).
thf('406',plain,
( ~ zip_tseitin_94
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl615]) ).
thf(zip_derived_cl614,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_94 ),
inference(cnf,[status(esa)],[zf_stmt_222]) ).
thf('407',plain,
( ~ zip_tseitin_94
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl614]) ).
thf(zip_derived_cl619,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_95 ),
inference(cnf,[status(esa)],[zf_stmt_220]) ).
thf('408',plain,
( ~ zip_tseitin_95
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(zip_derived_cl612,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_224]) ).
thf('409',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl612]) ).
thf(zip_derived_cl611,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_224]) ).
thf('410',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl611]) ).
thf(zip_derived_cl635,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_214]) ).
thf('411',plain,
( ~ zip_tseitin_99
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl635]) ).
thf(zip_derived_cl639,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_100 ),
inference(cnf,[status(esa)],[zf_stmt_212]) ).
thf('412',plain,
( ~ zip_tseitin_100
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl639]) ).
thf(zip_derived_cl638,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_100 ),
inference(cnf,[status(esa)],[zf_stmt_212]) ).
thf('413',plain,
( ~ zip_tseitin_100
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl638]) ).
thf(zip_derived_cl648,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ~ zip_tseitin_102 ),
inference(cnf,[status(esa)],[zf_stmt_208]) ).
thf('414',plain,
( ~ zip_tseitin_102
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl648]) ).
thf(zip_derived_cl647,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_102 ),
inference(cnf,[status(esa)],[zf_stmt_208]) ).
thf('415',plain,
( ~ zip_tseitin_102
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl647]) ).
thf(zip_derived_cl651,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_103 ),
inference(cnf,[status(esa)],[zf_stmt_206]) ).
thf('416',plain,
( ~ zip_tseitin_103
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl651]) ).
thf(zip_derived_cl659,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('417',plain,
( ~ zip_tseitin_105
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl659]) ).
thf(zip_derived_cl658,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('418',plain,
( ~ zip_tseitin_105
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl658]) ).
thf(zip_derived_cl580,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_85 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('419',plain,
( ~ zip_tseitin_85
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl580]) ).
thf(zip_derived_cl579,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_85 ),
inference(cnf,[status(esa)],[zf_stmt_239]) ).
thf('420',plain,
( ~ zip_tseitin_85
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl579]) ).
thf(zip_derived_cl628,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_217]) ).
thf('421',plain,
( ~ zip_tseitin_97
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl628]) ).
thf(zip_derived_cl627,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_217]) ).
thf('422',plain,
( ~ zip_tseitin_97
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl627]) ).
thf(zip_derived_cl679,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_110 ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf('423',plain,
( ~ zip_tseitin_110
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl679]) ).
thf(zip_derived_cl678,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_110 ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf('424',plain,
( ~ zip_tseitin_110
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl678]) ).
thf(zip_derived_cl683,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf('425',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl683]) ).
thf(zip_derived_cl696,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_114 ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf('426',plain,
( ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl695,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_114 ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf('427',plain,
( ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl695]) ).
thf(zip_derived_cl699,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf('428',plain,
( ~ zip_tseitin_115
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl699]) ).
thf(zip_derived_cl698,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf('429',plain,
( ~ zip_tseitin_115
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl698]) ).
thf(zip_derived_cl705,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_116 ),
inference(cnf,[status(esa)],[zf_stmt_182]) ).
thf('430',plain,
( ~ zip_tseitin_116
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl705]) ).
thf(zip_derived_cl709,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_180]) ).
thf('431',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl709]) ).
thf(zip_derived_cl713,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_118 ),
inference(cnf,[status(esa)],[zf_stmt_178]) ).
thf('432',plain,
( ~ zip_tseitin_118
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl713]) ).
thf(zip_derived_cl716,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf('433',plain,
( ~ zip_tseitin_119
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl716]) ).
thf(zip_derived_cl715,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf('434',plain,
( ~ zip_tseitin_119
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl715]) ).
thf(zip_derived_cl720,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_120 ),
inference(cnf,[status(esa)],[zf_stmt_174]) ).
thf('435',plain,
( ~ zip_tseitin_120
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl720]) ).
thf(zip_derived_cl724,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('436',plain,
( ~ zip_tseitin_121
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl724]) ).
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_cl2040,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24303_347,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl26046,plain,
( ( e21 = e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2040,zip_derived_cl24303]) ).
thf(zip_derived_cl200_348,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('437',plain,
( ( op2 @ e23 @ e23 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26046,zip_derived_cl200]) ).
thf('438',plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl728,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_122 ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf('439',plain,
( ~ zip_tseitin_122
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl728]) ).
thf(zip_derived_cl732,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf('440',plain,
( ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl732]) ).
thf(zip_derived_cl731,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf('441',plain,
( ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl575,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_84 ),
inference(cnf,[status(esa)],[zf_stmt_241]) ).
thf('442',plain,
( ~ zip_tseitin_84
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl575]) ).
thf(zip_derived_cl574,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_84 ),
inference(cnf,[status(esa)],[zf_stmt_241]) ).
thf('443',plain,
( ~ zip_tseitin_84
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl743,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('444',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl743]) ).
thf(zip_derived_cl742,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('445',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl742]) ).
thf(zip_derived_cl748,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf('446',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl748]) ).
thf(zip_derived_cl747,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf('447',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl747]) ).
thf(zip_derived_cl753,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_128 ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('448',plain,
( ~ zip_tseitin_128
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl753]) ).
thf(zip_derived_cl757,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_129 ),
inference(cnf,[status(esa)],[zf_stmt_156]) ).
thf('449',plain,
( ~ zip_tseitin_129
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl757]) ).
thf(zip_derived_cl761,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_130 ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf('450',plain,
( ~ zip_tseitin_130
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl761]) ).
thf(zip_derived_cl760,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_130 ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf('451',plain,
( ~ zip_tseitin_130
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl760]) ).
thf(zip_derived_cl763,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_131 ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf('452',plain,
( ~ zip_tseitin_131
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl763]) ).
thf(zip_derived_cl2064_349,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2062_350,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26315,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl2062]) ).
thf(zip_derived_cl202_351,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('453',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26315,zip_derived_cl202]) ).
thf(zip_derived_cl654,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('454',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e20 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl654]) ).
thf(zip_derived_cl657,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('455',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
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('456',plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl549,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_255]) ).
thf('457',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl549]) ).
thf(zip_derived_cl2043_352,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2042_353,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26099,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2043,zip_derived_cl2042]) ).
thf(zip_derived_cl203_354,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('458',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26099,zip_derived_cl203]) ).
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('459',plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl24303_355,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl2038,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl26029,plain,
( ( e21 = e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24303,zip_derived_cl2038]) ).
thf(zip_derived_cl203_356,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('460',plain,
( ( op2 @ e23 @ e23 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26029,zip_derived_cl203]) ).
thf(zip_derived_cl2049_357,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2046_358,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl26153,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2049,zip_derived_cl2046]) ).
thf(zip_derived_cl201_359,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('461',plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26153,zip_derived_cl201]) ).
thf(zip_derived_cl538,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_259]) ).
thf('462',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl538]) ).
thf(zip_derived_cl666,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf('463',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl666]) ).
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('464',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl2041,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl24303_360,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl26065,plain,
( ( e21 = e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2041,zip_derived_cl24303]) ).
thf(zip_derived_cl199_361,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('465',plain,
( ( op2 @ e23 @ e23 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26065,zip_derived_cl199]) ).
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_cl2053,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl24293_362,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl26174,plain,
( ( e22 = e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2053,zip_derived_cl24293]) ).
thf(zip_derived_cl198_363,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('466',plain,
( ( op2 @ e23 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26174,zip_derived_cl198]) ).
thf(zip_derived_cl737,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('467',plain,
( ~ zip_tseitin_124
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl737]) ).
thf(zip_derived_cl741,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('468',plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_125 ),
inference(split,[status(esa)],[zip_derived_cl741]) ).
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('469',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('470',plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl2045_364,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2043_365,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26124,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2043]) ).
thf(zip_derived_cl199_366,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('471',plain,
( ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26124,zip_derived_cl199]) ).
thf(zip_derived_cl2045_367,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2042_368,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl26123,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2042]) ).
thf(zip_derived_cl201_369,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('472',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26123,zip_derived_cl201]) ).
thf(zip_derived_cl2091_370,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2090_371,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26585,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2091,zip_derived_cl2090]) ).
thf(zip_derived_cl203_372,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('473',plain,
( ( ( op2 @ e20 @ e22 )
!= e20 )
| ( ( op2 @ e20 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26585,zip_derived_cl203]) ).
thf(zip_derived_cl567,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_82 ),
inference(cnf,[status(esa)],[zf_stmt_245]) ).
thf('474',plain,
( ~ zip_tseitin_82
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl567]) ).
thf(zip_derived_cl2061_373,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2060_374,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26284,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2060]) ).
thf(zip_derived_cl198_375,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('475',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26284,zip_derived_cl198]) ).
thf(zip_derived_cl550,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_253]) ).
thf('476',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl550]) ).
thf(zip_derived_cl672,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('477',plain,
( ~ zip_tseitin_108
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl672]) ).
thf(zip_derived_cl2065_376,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2063_377,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26327,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2065,zip_derived_cl2063]) ).
thf(zip_derived_cl199_378,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('478',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26327,zip_derived_cl199]) ).
thf(zip_derived_cl535,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_261]) ).
thf('479',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl535]) ).
thf(zip_derived_cl2082_379,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2074_380,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26426,plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2074,zip_derived_cl160]) ).
thf(zip_derived_cl29582,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2082,zip_derived_cl26426]) ).
thf('480',plain,
( ( ( op2 @ e21 @ e20 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29582]) ).
thf(zip_derived_cl2092_381,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2091_382,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26591,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2092,zip_derived_cl2091]) ).
thf(zip_derived_cl200_383,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('481',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26591,zip_derived_cl200]) ).
thf('482',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2085_384,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2083_385,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26544,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2085,zip_derived_cl2083]) ).
thf(zip_derived_cl199_386,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('483',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26544,zip_derived_cl199]) ).
thf(zip_derived_cl2085_387,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2082_388,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26543,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2085,zip_derived_cl2082]) ).
thf(zip_derived_cl201_389,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('484',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26543,zip_derived_cl201]) ).
thf(zip_derived_cl92,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('485',plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf(zip_derived_cl24293_390,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl2051,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26166,plain,
( ( e22 = e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24293,zip_derived_cl2051]) ).
thf(zip_derived_cl200_391,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('486',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26166,zip_derived_cl200]) ).
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('487',plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl24293_392,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl2050,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl26161,plain,
( ( e22 = e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24293,zip_derived_cl2050]) ).
thf(zip_derived_cl202_393,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('488',plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26161,zip_derived_cl202]) ).
thf(zip_derived_cl2098,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl803_394,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26635,plain,
( ( e23 = e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2098,zip_derived_cl803]) ).
thf(zip_derived_cl201_395,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('489',plain,
( ( op2 @ e20 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26635,zip_derived_cl201]) ).
thf(zip_derived_cl2084_396,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2083_397,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26537,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2084,zip_derived_cl2083]) ).
thf(zip_derived_cl200_398,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('490',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26537,zip_derived_cl200]) ).
thf(zip_derived_cl2084_399,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2082_400,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26536,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2084,zip_derived_cl2082]) ).
thf(zip_derived_cl202_401,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('491',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26536,zip_derived_cl202]) ).
thf(zip_derived_cl2067_402,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2066_403,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26342,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2067,zip_derived_cl2066]) ).
thf(zip_derived_cl203_404,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('492',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26342,zip_derived_cl203]) ).
thf(zip_derived_cl585,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('493',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl585]) ).
thf(zip_derived_cl2099,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl803_405,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26643,plain,
( ( e23 = e21 )
<= ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2099,zip_derived_cl803]) ).
thf(zip_derived_cl199_406,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('494',plain,
( ( op2 @ e20 @ e20 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26643,zip_derived_cl199]) ).
thf(zip_derived_cl2087,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl24303_407,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl24308,plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl24303]) ).
thf(zip_derived_cl30520,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2087,zip_derived_cl24308]) ).
thf('495',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl30520]) ).
thf(zip_derived_cl691,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('496',plain,
( ~ zip_tseitin_113
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl691]) ).
thf(zip_derived_cl675,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('497',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl675]) ).
thf(zip_derived_cl2083_408,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2079_409,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26481,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2079,zip_derived_cl161]) ).
thf(zip_derived_cl29626,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2083,zip_derived_cl26481]) ).
thf('498',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29626]) ).
thf(zip_derived_cl2095_410,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2079_411,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
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_cl26482,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2079,zip_derived_cl185]) ).
thf(zip_derived_cl29629,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2095,zip_derived_cl26482]) ).
thf('499',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29629]) ).
thf(zip_derived_cl2081_412,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2079_413,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26518,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2081,zip_derived_cl2079]) ).
thf(zip_derived_cl199_414,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('500',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26518,zip_derived_cl199]) ).
thf(zip_derived_cl2080_415,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2079_416,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26502,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2080,zip_derived_cl2079]) ).
thf(zip_derived_cl200_417,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('501',plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26502,zip_derived_cl200]) ).
thf(zip_derived_cl594,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_232]) ).
thf('502',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl594]) ).
thf(zip_derived_cl600,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_90 ),
inference(cnf,[status(esa)],[zf_stmt_230]) ).
thf('503',plain,
( ~ zip_tseitin_90
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl600]) ).
thf(zip_derived_cl604,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_228]) ).
thf('504',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl604]) ).
thf(zip_derived_cl774,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_133 ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf('505',plain,
( ~ zip_tseitin_133
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl774]) ).
thf(zip_derived_cl601,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_90 ),
inference(cnf,[status(esa)],[zf_stmt_230]) ).
thf('506',plain,
( ~ zip_tseitin_90
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl601]) ).
thf(zip_derived_cl2076_418,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2060_419,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl176_420,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26256,plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2060,zip_derived_cl176]) ).
thf(zip_derived_cl29426,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2076,zip_derived_cl26256]) ).
thf('507',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29426]) ).
thf(zip_derived_cl2060_421,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2059_422,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26262,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2060,zip_derived_cl2059]) ).
thf(zip_derived_cl200_423,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('508',plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26262,zip_derived_cl200]) ).
thf(zip_derived_cl676,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf('509',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl676]) ).
thf(zip_derived_cl2081_424,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2080_425,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26519,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2081,zip_derived_cl2080]) ).
thf(zip_derived_cl198_426,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('510',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26519,zip_derived_cl198]) ).
thf('511',plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2091_427,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2059_428,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26239,plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2059,zip_derived_cl178]) ).
thf(zip_derived_cl29408,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2091,zip_derived_cl26239]) ).
thf('512',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29408]) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('513',plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl2096_429,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2095_430,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26620,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2096,zip_derived_cl2095]) ).
thf(zip_derived_cl200_431,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('514',plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26620,zip_derived_cl200]) ).
thf(zip_derived_cl547,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_255]) ).
thf('515',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl739,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('516',plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_125 ),
inference(split,[status(esa)],[zip_derived_cl739]) ).
thf(zip_derived_cl689,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_112 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('517',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_112 ),
inference(split,[status(esa)],[zip_derived_cl689]) ).
thf(zip_derived_cl2080_432,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2064_433,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
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_cl26313,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2064,zip_derived_cl182]) ).
thf(zip_derived_cl29485,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2080,zip_derived_cl26313]) ).
thf('518',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29485]) ).
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('519',plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('520',plain,
( ( op2 @ e22 @ e23 )
= e22 ),
inference('sat_resolution*',[status(thm)],['251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519']) ).
thf(zip_derived_cl30926,plain,
( ( op2 @ e22 @ e23 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2056,'520']) ).
thf(zip_derived_cl1864_434,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('521',plain,
( ( op1 @ e12 @ e13 )
= e12 ),
inference('sat_resolution*',[status(thm)],['2','206','5','6','7','8','9','10','11','12','13','14','15','237','16','17','18','19','20','21','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','241','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','240','77','78','79','80','81','82','83','84','28','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','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','224','225','228','229','230','231','232','233','234','117','118','119','120','121','124','125','126','127','128','129','130','131','132','133','134','136','137','138','139','140','141','226','227','195','238','196','197','198','199','202','203','204','205','57','184','186','222','187','189','190','191','192','193','194','201','143','144','145','146','147','148','149','161','185','162','163','164','183','165','166','167','168','200','169','170','173','188','179','180','181','182','174','23','24','175','27','176','177','178','239','3','171','172','248','150','247','246','223','26','245','244','235','236','151','152','153','154','155','156','157','158','159','242','142','160','122','135','0','123','1','76']) ).
thf(zip_derived_cl29068,plain,
( ( op1 @ e12 @ e13 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1864,'521']) ).
thf(zip_derived_cl3537,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_cl822]) ).
thf(zip_derived_cl807,plain,
( ( h1 @ e12 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl803_435,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24293_436,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl24323,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl24317_437,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl29769,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3537,zip_derived_cl24323,zip_derived_cl24317]) ).
thf(zip_derived_cl47859,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29068,zip_derived_cl29769]) ).
thf(zip_derived_cl24323_438,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl47862,plain,
( ( e22
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47859,zip_derived_cl24323]) ).
thf(zip_derived_cl48017,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30926,zip_derived_cl47862]) ).
thf('522',plain,
( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48017]) ).
thf(zip_derived_cl2074_439,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2066_440,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2062_441,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26297,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2062,zip_derived_cl155]) ).
thf(zip_derived_cl29455,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl26297]) ).
thf('523',plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29455]) ).
thf(zip_derived_cl2080_442,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2076_443,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl158,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26448,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2076,zip_derived_cl158]) ).
thf(zip_derived_cl29603,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2080,zip_derived_cl26448]) ).
thf('524',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29603]) ).
thf('525',plain,
( ( op2 @ e21 @ e22 )
= e20 ),
inference('sat_resolution*',[status(thm)],['523','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','519','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','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','471','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','524','356','470','357','472','339']) ).
thf(zip_derived_cl30931,plain,
( ( op2 @ e21 @ e22 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2074,'525']) ).
thf(zip_derived_cl1882_444,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1885_445,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1853_446,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_cl24517,plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl127]) ).
thf(zip_derived_cl28498,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1885,zip_derived_cl24517]) ).
thf('526',plain,
( ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28498]) ).
thf(zip_derived_cl1903_447,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1899_448,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl25103,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1899,zip_derived_cl116]) ).
thf(zip_derived_cl29042,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1903,zip_derived_cl25103]) ).
thf('527',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29042]) ).
thf(zip_derived_cl1866_449,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1850_450,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl126_451,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24478,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1850,zip_derived_cl126]) ).
thf(zip_derived_cl28468,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl24478]) ).
thf('528',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28468]) ).
thf(zip_derived_cl1886_452,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1854_453,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133_454,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24533,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1854,zip_derived_cl133]) ).
thf(zip_derived_cl28510,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1886,zip_derived_cl24533]) ).
thf('529',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28510]) ).
thf('530',plain,
( ( op1 @ e11 @ e12 )
= e10 ),
inference('sat_resolution*',[status(thm)],['526','527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','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','28','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','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','248','150','247','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','529','127']) ).
thf(zip_derived_cl29073,plain,
( ( op1 @ e11 @ e12 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1882,'530']) ).
thf(zip_derived_cl3532,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_cl822]) ).
thf(zip_derived_cl24330_455,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl24323_456,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl29763,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3532,zip_derived_cl24330,zip_derived_cl24323]) ).
thf(zip_derived_cl47921,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29073,zip_derived_cl29763]) ).
thf(zip_derived_cl809_457,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl47923,plain,
( ( e20
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47921,zip_derived_cl809]) ).
thf(zip_derived_cl48095,plain,
( ( e20 != e20 )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30931,zip_derived_cl47923]) ).
thf('531',plain,
( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48095]) ).
thf(zip_derived_cl3538,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_cl822]) ).
thf(zip_derived_cl24269_458,plain,
( e12
= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl800]) ).
thf(zip_derived_cl24323_459,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl24317_460,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl809_461,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24293_462,plain,
( e22
= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl803]) ).
thf(zip_derived_cl29770,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3538,zip_derived_cl24269,zip_derived_cl24323,zip_derived_cl24317,zip_derived_cl809,zip_derived_cl24293]) ).
thf('532',plain,
( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29770]) ).
thf(zip_derived_cl2066_463,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('533',plain,
( ( op2 @ e22 @ e20 )
= e20 ),
inference('sat_resolution*',[status(thm)],['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','519','300','301','302','303','304','305','306','511','307','308','309','310','311','312','313','314','514','315','316','510','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','348','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','506','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','508','476','477','509','478','479','480','512','481','482','483','484','485','486','488','489','490','491','492','493','513','494','495','496','515','497','516','498','499','500','501','502','503','504','505','349','347','487']) ).
thf(zip_derived_cl30929,plain,
( ( op2 @ e22 @ e20 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2066,'533']) ).
thf(zip_derived_cl1874_464,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('534',plain,
( ( op1 @ e12 @ e10 )
= e10 ),
inference('sat_resolution*',[status(thm)],['527','528','0','1','2','3','4','5','6','7','8','9','10','12','13','14','15','16','17','18','19','20','21','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','169','170','171','173','174','23','24','175','26','27','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','242','167','176','168','172','11']) ).
thf(zip_derived_cl29071,plain,
( ( op1 @ e12 @ e10 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1874,'534']) ).
thf(zip_derived_cl3534,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_cl822]) ).
thf(zip_derived_cl24323_465,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl809_466,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29766,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3534,zip_derived_cl24323,zip_derived_cl809]) ).
thf(zip_derived_cl47895,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e22 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29071,zip_derived_cl29766]) ).
thf(zip_derived_cl809_467,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl47899,plain,
( ( e20
!= ( op2 @ e22 @ e20 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47895,zip_derived_cl809]) ).
thf(zip_derived_cl48059,plain,
( ( e20 != e20 )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30929,zip_derived_cl47899]) ).
thf('535',plain,
( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48059]) ).
thf(zip_derived_cl3541,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_cl822]) ).
thf(zip_derived_cl24279_468,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl800,zip_derived_cl800]) ).
thf(zip_derived_cl24330_469,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl24317_470,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl24317_471,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl24303_472,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl29778,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3541,zip_derived_cl24279,zip_derived_cl24330,zip_derived_cl24317,zip_derived_cl24317,zip_derived_cl24303]) ).
thf('536',plain,
( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29778]) ).
thf(zip_derived_cl24323_473,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl854,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_0]) ).
thf(zip_derived_cl4183,plain,
( ( ( h1 @ e12 )
!= e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl24326,plain,
( ( e22 != e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24323,zip_derived_cl4183]) ).
thf('537',plain,
( ( h1 @ e12 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl24326]) ).
thf(zip_derived_cl2065_474,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2097_475,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
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_cl803_476,plain,
( e23
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24289,plain,
( e23
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl803]) ).
thf(zip_derived_cl30369,plain,
( ( e23 != e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2097,zip_derived_cl24289]) ).
thf('538',plain,
( ( op2 @ e20 @ e21 )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl30369]) ).
thf('539',plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference('sat_resolution*',[status(thm)],['538','523','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','288','289','290','291','292','293','294','295','296','297','298','299','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','511','512','513','514','515','516','517','510','287']) ).
thf(zip_derived_cl30928,plain,
( ( op2 @ e22 @ e21 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2065,'539']) ).
thf(zip_derived_cl1873_477,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('540',plain,
( ( op1 @ e12 @ e11 )
= e13 ),
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','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','242']) ).
thf(zip_derived_cl29070,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1873,'540']) ).
thf(zip_derived_cl3535,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_cl822]) ).
thf(zip_derived_cl24323_478,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl24330_479,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl29767,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3535,zip_derived_cl24323,zip_derived_cl24330]) ).
thf(zip_derived_cl47882,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29070,zip_derived_cl29767]) ).
thf(zip_derived_cl24317_480,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl47883,plain,
( ( e23
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47882,zip_derived_cl24317]) ).
thf(zip_derived_cl48050,plain,
( ( e23 != e23 )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30928,zip_derived_cl47883]) ).
thf('541',plain,
( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48050]) ).
thf(zip_derived_cl2066_481,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2054_482,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26184,plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2054,zip_derived_cl153]) ).
thf(zip_derived_cl29281,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl26184]) ).
thf('542',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29281]) ).
thf(zip_derived_cl2077_483,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2045_484,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26121,plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl175]) ).
thf(zip_derived_cl29205,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2077,zip_derived_cl26121]) ).
thf('543',plain,
( ( ( op2 @ e21 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29205]) ).
thf(zip_derived_cl1883_485,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1867_486,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24686,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1867,zip_derived_cl128]) ).
thf(zip_derived_cl28682,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1883,zip_derived_cl24686]) ).
thf('544',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28682]) ).
thf(zip_derived_cl494,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('545',plain,
( ~ zip_tseitin_66
| ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl485,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('546',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl504,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
| ~ zip_tseitin_67 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2802,plain,
( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl504]) ).
thf(zip_derived_cl24279_487,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl800,zip_derived_cl800]) ).
thf(zip_derived_cl29193,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2802,zip_derived_cl24279]) ).
thf(zip_derived_cl2287,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf('547',plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
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','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','242','243']) ).
thf(zip_derived_cl29083,plain,
( ( op1 @ e13 @ e11 )
!= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2287,'547']) ).
thf(zip_derived_cl31692,plain,
( ( e13 != e13 )
<= ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29193,zip_derived_cl29083]) ).
thf('548',plain,
( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
!= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl31692]) ).
thf('549',plain,
( ~ zip_tseitin_67
| ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl504]) ).
thf('550',plain,
( zip_tseitin_64
| zip_tseitin_67
| zip_tseitin_65
| zip_tseitin_66 ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl483,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('551',plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
| ~ zip_tseitin_64 ),
inference(split,[status(esa)],[zip_derived_cl483]) ).
thf(zip_derived_cl2086_488,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2757,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl483]) ).
thf(zip_derived_cl800_489,plain,
( e13
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl28901,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2757,zip_derived_cl800]) ).
thf(zip_derived_cl3529,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_cl822]) ).
thf(zip_derived_cl809_490,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24317_491,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl29758,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3529,zip_derived_cl809,zip_derived_cl24317]) ).
thf(zip_derived_cl29759,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28901,zip_derived_cl29758]) ).
thf(zip_derived_cl809_492,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29760,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29759,zip_derived_cl809]) ).
thf(zip_derived_cl30260,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2086,zip_derived_cl29760]) ).
thf('552',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
!= e10 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30260]) ).
thf(zip_derived_cl2045_493,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('553',plain,
( ( op2 @ e23 @ e22 )
= e23 ),
inference('sat_resolution*',[status(thm)],['523','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','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','514','315','316','317','318','319','320','321','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','457','458','459','460','462','463','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','515','497','516','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','322','456','461','464']) ).
thf(zip_derived_cl30924,plain,
( ( op2 @ e23 @ e22 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2045,'553']) ).
thf(zip_derived_cl1853_494,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('554',plain,
( ( op1 @ e13 @ e12 )
= e13 ),
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','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244']) ).
thf(zip_derived_cl29066,plain,
( ( op1 @ e13 @ e12 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1853,'554']) ).
thf(zip_derived_cl3540,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_cl822]) ).
thf(zip_derived_cl24317_495,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl24323_496,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl29775,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl24317,zip_derived_cl24323]) ).
thf(zip_derived_cl47830,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29066,zip_derived_cl29775]) ).
thf(zip_derived_cl24317_497,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl47836,plain,
( ( e23
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47830,zip_derived_cl24317]) ).
thf(zip_derived_cl47996,plain,
( ( e23 != e23 )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30924,zip_derived_cl47836]) ).
thf('555',plain,
( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47996]) ).
thf(zip_derived_cl2073_498,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('556',plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference('sat_resolution*',[status(thm)],['523','543','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','519','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','350','351','352','353','354','355','356','357','358','359','360','361','362','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','502','503','504','505','506','507','508','509','511','512','513','514','515','516','517','349','363','501','510','483']) ).
thf(zip_derived_cl30930,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2073,'556']) ).
thf(zip_derived_cl1881_499,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('557',plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference('sat_resolution*',[status(thm)],['243','526','527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','169','171','173','23','24','175','26','27','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','242','167','176','168','172','174','170','149']) ).
thf(zip_derived_cl29072,plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1881,'557']) ).
thf(zip_derived_cl3533,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_cl822]) ).
thf(zip_derived_cl24330_500,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl24317_501,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl29764,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3533,zip_derived_cl24330,zip_derived_cl24317]) ).
thf(zip_derived_cl47911,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29072,zip_derived_cl29764]) ).
thf(zip_derived_cl24317_502,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl47913,plain,
( ( e23
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47911,zip_derived_cl24317]) ).
thf(zip_derived_cl48079,plain,
( ( e23 != e23 )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30930,zip_derived_cl47913]) ).
thf('558',plain,
( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48079]) ).
thf(zip_derived_cl2083_503,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('559',plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference('sat_resolution*',[status(thm)],['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','519','300','301','302','303','304','305','306','511','307','308','309','310','311','312','313','314','514','315','316','510','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','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','506','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','508','476','477','509','478','479','480','512','481','482','483','484','485','486','487','488','489','490','491','492','493','513','494','495','496','515','497','516','498','499','500','501','502','503','504','505','349']) ).
thf(zip_derived_cl30933,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2083,'559']) ).
thf(zip_derived_cl1891_504,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf('560',plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('sat_resolution*',[status(thm)],['527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','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','28','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','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','169','170','171','173','23','24','175','26','27','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','242','167','176','168','172','174']) ).
thf(zip_derived_cl29075,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1891,'560']) ).
thf(zip_derived_cl3530,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_cl822]) ).
thf(zip_derived_cl24330_505,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl809_506,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29761,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3530,zip_derived_cl24330,zip_derived_cl809]) ).
thf(zip_derived_cl47940,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29075,zip_derived_cl29761]) ).
thf(zip_derived_cl24330_507,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl47944,plain,
( ( e21
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47940,zip_derived_cl24330]) ).
thf(zip_derived_cl48137,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30933,zip_derived_cl47944]) ).
thf('561',plain,
( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48137]) ).
thf(zip_derived_cl2080_508,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('562',plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference('sat_resolution*',[status(thm)],['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','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517']) ).
thf(zip_derived_cl30932,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2080,'562']) ).
thf(zip_derived_cl1888_509,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf('563',plain,
( ( op1 @ e11 @ e11 )
= e12 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','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','28','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','248','150','247','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','529','5']) ).
thf(zip_derived_cl29074,plain,
( ( op1 @ e11 @ e11 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1888,'563']) ).
thf(zip_derived_cl3531,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_cl822]) ).
thf(zip_derived_cl24330_510,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl24330_511,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl29762,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3531,zip_derived_cl24330,zip_derived_cl24330]) ).
thf(zip_derived_cl47930,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29074,zip_derived_cl29762]) ).
thf(zip_derived_cl24323_512,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl47934,plain,
( ( e22
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47930,zip_derived_cl24323]) ).
thf(zip_derived_cl48114,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30932,zip_derived_cl47934]) ).
thf('564',plain,
( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48114]) ).
thf(zip_derived_cl809_513,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3542,plain,
( ( ( h1 @ e10 )
!= e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl822]) ).
thf(zip_derived_cl24014,plain,
( ( e20 != e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl809,zip_derived_cl3542]) ).
thf('565',plain,
( ( h1 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl24014]) ).
thf(zip_derived_cl24330_514,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl830,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_0]) ).
thf(zip_derived_cl3704,plain,
( ( ( h1 @ e11 )
!= e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl830]) ).
thf(zip_derived_cl24332,plain,
( ( e21 != e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24330,zip_derived_cl3704]) ).
thf('566',plain,
( ( h1 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl24332]) ).
thf(zip_derived_cl2046_515,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('567',plain,
( ( op2 @ e23 @ e21 )
= e20 ),
inference('sat_resolution*',[status(thm)],['523','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','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','514','315','316','317','318','319','320','321','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','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','515','497','516','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','322','456']) ).
thf(zip_derived_cl30925,plain,
( ( op2 @ e23 @ e21 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2046,'567']) ).
thf(zip_derived_cl1854_516,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('568',plain,
( ( op1 @ e13 @ e11 )
= e10 ),
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','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','28','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','248','150','247','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246']) ).
thf(zip_derived_cl29067,plain,
( ( op1 @ e13 @ e11 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1854,'568']) ).
thf(zip_derived_cl3539,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_cl822]) ).
thf(zip_derived_cl24317_517,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl24330_518,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl29772,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3539,zip_derived_cl24317,zip_derived_cl24330]) ).
thf(zip_derived_cl47846,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29067,zip_derived_cl29772]) ).
thf(zip_derived_cl809_519,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl47848,plain,
( ( e20
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47846,zip_derived_cl809]) ).
thf(zip_derived_cl48007,plain,
( ( e20 != e20 )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30925,zip_derived_cl47848]) ).
thf('569',plain,
( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48007]) ).
thf(zip_derived_cl24317_520,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl803]) ).
thf(zip_derived_cl3545,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl822]) ).
thf(zip_derived_cl24319,plain,
( ( e23 != e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24317,zip_derived_cl3545]) ).
thf('570',plain,
( ( h1 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl24319]) ).
thf(zip_derived_cl2059_521,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf('571',plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference('sat_resolution*',[status(thm)],['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','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','514','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','512','481','482','483','484','485','486','487','488','489','490','491','492','493','513','494','495','496','515','497','516','498','499','500','501','502','503','504','505','506','507','508','509','510','511']) ).
thf(zip_derived_cl30927,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2059,'571']) ).
thf(zip_derived_cl1867_522,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('572',plain,
( ( op1 @ e12 @ e12 )
= e11 ),
inference('sat_resolution*',[status(thm)],['527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','32','33','34','35','36','37','38','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','28','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','143','144','145','146','147','148','149','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','169','170','174','23','24','175','26','27','178','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','171','39','142','242','167','176','168','172','179','173','177']) ).
thf(zip_derived_cl29069,plain,
( ( op1 @ e12 @ e12 )
= e11 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1867,'572']) ).
thf(zip_derived_cl3536,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_cl822]) ).
thf(zip_derived_cl24323_523,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl24323_524,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl29768,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3536,zip_derived_cl24323,zip_derived_cl24323]) ).
thf(zip_derived_cl47872,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29069,zip_derived_cl29768]) ).
thf(zip_derived_cl24330_525,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl803,zip_derived_cl803,zip_derived_cl24303]) ).
thf(zip_derived_cl47874,plain,
( ( e21
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47872,zip_derived_cl24330]) ).
thf(zip_derived_cl48035,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30927,zip_derived_cl47874]) ).
thf('573',plain,
( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48035]) ).
thf(zip_derived_cl2092_526,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('574',plain,
( ( op2 @ e20 @ e22 )
= e22 ),
inference('sat_resolution*',[status(thm)],['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','519','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','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','524','356']) ).
thf(zip_derived_cl30935,plain,
( ( op2 @ e20 @ e22 )
= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2092,'574']) ).
thf(zip_derived_cl1900_527,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('575',plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference('sat_resolution*',[status(thm)],['527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','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','28','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','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','146','147','248','150','247','151','152','153','154','155','156','157','158','159','160','161','162','164','165','166','167','168','169','170','171','172','173','174','23','24','175','26','27','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','529','149','127','148','126','163','145']) ).
thf(zip_derived_cl29077,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1900,'575']) ).
thf(zip_derived_cl3528,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_cl822]) ).
thf(zip_derived_cl809_528,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24323_529,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl29757,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3528,zip_derived_cl809,zip_derived_cl24323]) ).
thf(zip_derived_cl47969,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29077,zip_derived_cl29757]) ).
thf(zip_derived_cl24323_530,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl803,zip_derived_cl24293]) ).
thf(zip_derived_cl47973,plain,
( ( e22
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47969,zip_derived_cl24323]) ).
thf(zip_derived_cl48154,plain,
( ( e22 != e22 )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30935,zip_derived_cl47973]) ).
thf('576',plain,
( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48154]) ).
thf(zip_derived_cl862,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_0]) ).
thf('577',plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( 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 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf('578',plain,
( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ),
inference('sat_resolution*',[status(thm)],['250','522','531','532','535','536','537','541','542','523','543','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','519','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','350','351','353','354','355','356','357','358','359','360','361','362','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','502','503','504','505','506','507','508','509','511','512','513','514','515','516','517','349','363','501','510','483','299','352','544','243','529','545','527','528','0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','20','21','32','33','34','35','36','37','38','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','28','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','143','144','145','146','147','148','149','248','150','247','246','245','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','169','170','174','23','24','175','26','27','178','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','244','235','236','237','238','239','240','241','171','39','142','242','167','176','168','172','179','173','177','546','548','549','550','551','552','555','558','561','564','565','566','569','570','573','576','577']) ).
thf(zip_derived_cl48158,plain,
( e21
!= ( op2 @ e20 @ e21 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl48157,'578']) ).
thf(zip_derived_cl2095_531,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('579',plain,
( ( op2 @ e20 @ e21 )
= e21 ),
inference('sat_resolution*',[status(thm)],['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','519','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','514','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','517','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','515','497','516','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513']) ).
thf(zip_derived_cl30936,plain,
( ( op2 @ e20 @ e21 )
= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2095,'579']) ).
thf(zip_derived_cl48169,plain,
e21 != e21,
inference(demod,[status(thm)],[zip_derived_cl48158,zip_derived_cl30936]) ).
thf(zip_derived_cl48170,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl48169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG129+1 : TPTP v9.2.0. Released v2.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0X15lzGY1O true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:03:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 35.89/6.99 % Solved by fo/fo1_av.sh.
% 35.89/6.99 % done 24387 iterations in 6.074s
% 35.89/6.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 35.89/6.99 % SZS output start Refutation
% See solution above
% 35.89/7.02
% 35.89/7.02
% 35.89/7.02 % Terminating...
% 36.54/7.20 % Runner terminated.
% 36.54/7.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------